Requiring the oath, although if he is lying then he shouldn't be believed for an Oath: Bava Metzia 5b
In order to require an oath, the Guardian must deny one part of the claim as though he never had the object, and admit one part completely, and argue about the middle charge: Bava Metzia 5a, 5b
If the Guardian swears falsely, must he bring a Sin Offering: Bava Metzia 35b-36a; Keritot 2b
Whether the guardian must swear regarding sanctified property: Bava Metzia 56a, 57b-58a
A rabbinically-mandated oath for guardians of sanctified property, even though they are biblically exempt, to ensure that they take their job seriously: Bava Metzia 58a
Whether the guardian must swear regarding land he was guarding: Bava Metzia 56a, 57b
Whether the guardian must swear regarding avadim he was guarding: Bava Metzia 56a, 57b
Whether the guardian must swear regarding legal bills he was guarding: Bava Metzia 56a, 57b
Acceptability of an oath, where there are witnesses: Bava Metzia 83a
Specific kinds of oaths
An oath to get paid for his work, as opposed to an oath that he was not derelict in his responsibilities: Bava Metzia 58a
A special oath enacted by the sages, for a guardian to swear that he was not careless in moving his charge from point A to point B and so avoid liability - because otherwise, guardians would be afraid to move their charges: Bava Metzia 83a
The text of the special oath enacted by the sages, for a guardian to swear that he was not careless in moving his charge from point A to point B and so avoid liability - because otherwise, guardians would be afraid to move their charges: Bava Metzia 83a