Tosefta su Levitico 23:78

Said Rabbi Shimon, because of four things the Torah said not to give a person Peah except at the end of his field: [First,] due to theft by the poor; and [second,] due to waste by the poor; and [third,] for appearance's sake; [and fourth,] due to the deceivers. Due to theft by the poor -- how so? That they will not see a time that there isn't someone there [guarding the field], and he [?] will say to the poor person, "Come and take Peah." Due to waste by the poor -- how so? That there will not be poor people and sit around and watch the whole day and say, "Now give [us] Peah!" whereas when Peah is given at the end, he goes [about his business] and does his work, [and then] he comes and takes it at the end. For appearance's sake -- how so? They will be there and pass through and say that they saw so-and-so that harvested the field, and did not give from it Peah, that behold the Torah said (Lev. 19:9), "you are not to finish [to the] edge of your field in harvesting." Due to deceivers -- how so? That they will not say, "We already gave [Peah]." Or another version, that [the homeowner] will not leave the good and give the bad.

A palm-branch which is dried up, or whose top is broken, is not valid. A willow of a naturally watered field, or a mountain willow, is valid. If this is so, why is it said, "Willows of the brook?" [Leviticus 23] To exclude the tsaphtsaph.

[There are] four gifts [for the poor] from the vineyards: Peret (i.e., grapes that fall during harvesting, see Lev. 19:10, Peah 7:3), forgotten sheaves (Deut. 24:19), peah (Lev. 23:22), and olelet (i.e., defective clusters, see Lev. 19:10, Peah 7:4). [There are] three [gifts for the poor] from field-produce: Gleanings (Lev. 19:9), forgotten sheaves, and peah. [There are] two [gifts for the poor] from fruit trees: forgotten sheaves and peah. [And as to] all of these, they should not [be given as] a favor, and [others] can even take [gifts for the poor given as a favor] from a Jewish poor person from his hand (i.e., since it does not lawfully belong to him in the first place). And [as to] the remainder of the priestly gifts, such as the shankbone and the jawbone and the rough-stomach (see Deut. 18:3), these may be [given as] a favor. And we give [these] to every Kohen that desires [them].

On the first Yom Tov of Passover we read the section (Lev. 23) on "waving" that is in Torat Kohanim (i.e., Leviticus), and the remainder of all the days of Passover, we skip to other subjects [involving] Passover that are written in the Torah. On Shavuot [we read the section beginning with] "Seven weeks" (Deut. 16:9) and there are those that say [we read the passage beginning] "In the third month" (Ex. 19:1). On Rosh Hashanah [we read the passage beginning] "Speak to the children of Israel, saying, On the seventh month, on the first of the month, etc." (Lev. 23:24), and there are those that say [we read the passage beginning] "And the Lord remembered Sarah" (Gen. 21:1). On Yom Kippur we read "After the death" (Lev. 16:1), and we add "On the tenth" (Num. 28:12), which is in the Book of Numbers (see also Yoma 7:1). On the first Yom Tov of Sukkot (lit., "Festival") we read [the passage beginning] "Speak to the children of Israel, saying, On the fifteenth day of this seventh month is the Festival of Sukkot, etc." (Lev. 23:34), and on the second day [we begin with] "On the second day," on the third [we begin with] "On the third day," on the fourth [we bigin with] "And on the fourth], on the fifth [we begin with] "And on the fifth," on the sixth [we begin with] "And on the sixth," on the seventh [we begin with] "And on the seventh," and on the eighth [we begin with] "And on the eighth" (see Num. 29).

On the first Yom Tov of Passover we read the section (Lev. 23) on "waving" that is in Torat Kohanim (i.e., Leviticus), and the remainder of all the days of Passover, we skip to other subjects [involving] Passover that are written in the Torah. On Shavuot [we read the section beginning with] "Seven weeks" (Deut. 16:9) and there are those that say [we read the passage beginning] "In the third month" (Ex. 19:1). On Rosh Hashanah [we read the passage beginning] "Speak to the children of Israel, saying, On the seventh month, on the first of the month, etc." (Lev. 23:24), and there are those that say [we read the passage beginning] "And the Lord remembered Sarah" (Gen. 21:1). On Yom Kippur we read "After the death" (Lev. 16:1), and we add "On the tenth" (Num. 28:12), which is in the Book of Numbers (see also Yoma 7:1). On the first Yom Tov of Sukkot (lit., "Festival") we read [the passage beginning] "Speak to the children of Israel, saying, On the fifteenth day of this seventh month is the Festival of Sukkot, etc." (Lev. 23:34), and on the second day [we begin with] "On the second day," on the third [we begin with] "On the third day," on the fourth [we bigin with] "And on the fourth], on the fifth [we begin with] "And on the fifth," on the sixth [we begin with] "And on the sixth," on the seventh [we begin with] "And on the seventh," and on the eighth [we begin with] "And on the eighth" (see Num. 29).