Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T11:19:02.884008Z
Paper Citation Record · LEDGER
As of 15 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 6 inbound Pith citation observations for arXiv:2412.15767.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T11:19:02.884008Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:35:35.707678Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-10T05:06:47.851525Z
21 of 21 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f8a793ca-3756-49eb-bb14-abc37ef4daba · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Andrews, The Theory of Partitions, Addison–Wesley, 1976; Reissued Cambridge, 1998
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d8976f4e-beff-4643-85a8-be99cb587be0 · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Andrews and B.C
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5ab4c6df-2b9e-4645-8ce8-8101b8c702b3 · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Bressoud, M.E.H
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ae65f7cb-45ac-4488-9dc6-fb060cfcb67e · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Calegari, S
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c247d766-3d9d-4356-8243-e6b33c6f069d · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9b24b729-dee3-4d72-90f2-8d2fca87ce5a · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Cherednik and B
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 57a57054-c2df-4260-85bc-45db3a065a5b · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Unresolved cited work
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13833751-bdb6-40c5-bdc4-75299c833010 · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Gasper and M
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a72922a1-824a-45f0-9b00-85fd08635a98 · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Kac and M
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1fa83419-b7a6-4dd8-9e47-1c0809ac355d · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Mc Laughlin, Topics and methods in q-series, Monographs in Number Theory, 8, World Scientific Publishing Co
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 24afd73d-a519-40c7-a5dd-1558dc20be03 · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Lee, Algebraic structures in modular q-hypergeometric series, PhD Thesis, University of California, Berkeley, 2012
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e761827d-6a99-4c92-a0b1-ec7f37f3df98 · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Lovejoy, A Bailey lattice, Proc
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation add348f4-92d6-491e-8cbf-3730c7003b22 · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Rogers, Second memoir on the expansion of certain infinite p roducts, Proc
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0f3e4420-908b-4249-a1fb-1a259bdeb844 · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Slater, Further identities of the Rogers–Ramanujan type , Proc
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 41abecd2-da26-469a-b416-e9f075662db2 · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Vlasenko and S
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 22c7ac21-e912-459e-846b-d71274995f08 · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Xia and O.X.M
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5409b91c-7702-4911-b2e5-491ee75d759d · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Wang, Identities on Zagier’s rank two examples for Nahm’s pro blem, Res
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d66168a4-ff15-49ac-ba91-31a71de3082b · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Wang, Explicit forms and proofs of Zagier’s rank three examp les for Nahm’s problem, Adv
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 46ceadd3-46ac-482b-a7ac-0df128f84ac9 · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Counterexamples to Zagier's Duality Conjecture on Nahm Sums
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3567233d-9728-4916-aee3-60609d61eae5 · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Zagier, The dilogarithm function, in Frontiers in Number Theor y, Physics and Geometry, II, Springer, 2007, 3–65
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0361deb2-f834-424f-9d63-6dd702f72ea5 · outbound
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Zwegers, presentation
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2dc1590f-bb78-43b5-a140-19bc07f01033 · inbound
Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df97f3c2-21e8-444c-b15b-878b6fd8fee9 · inbound
Some new modular Nahm sums of ranks 3 and 4 Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 322c7bc6-5042-4b0f-8dd4-153c9daefa42 · inbound
Proofs of five conjectural identities on modular rank four Nahm sums Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f3f719cc-34f9-45b2-9728-4f11b7eab829 · inbound
Proofs of five conjectural identities on modular rank four Nahm sums Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89fc0752-c529-49bf-a2fe-3d54d19dccf4 · inbound
Modular Nahm Sums for the Inverse Cartan Matrix of Type $D_r$ Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6eca6d16-092d-448c-b24b-435df31f2432 · inbound
Nahm Sums Dual to Zagier's Rank-Three Examples and Related Identities Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.