Paper Citation Record · LEDGER

Modularity of tadpole Nahm sums in ranks 4 and 5

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2504.17737.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2504.17737 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:41:36.771484Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:35:35.753913Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-15T17:35:35.830029Z

Reference resolution

21 of 21 outbound references displayed

verified exact0
verified fuzzy7
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d0a26cca-c601-45e0-a5a8-5bb3a36c8336 · outbound

This paper cites Andrews, On the general Rogers–Ramanujan theorem, Pr ovidence, RI: Amer.

Modularity of tadpole Nahm sums in ranks 4 and 5 Andrews, On the general Rogers–Ramanujan theorem, Pr ovidence, RI: Amer

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:41:37.086396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d6392ab2-fdb1-46df-a98a-cd93f0d83ea1 · outbound

This paper cites Andrews, The Theory of Partitions, Addison-Wesley, 1976; Reissued Cambridge, 1998.

Modularity of tadpole Nahm sums in ranks 4 and 5 Andrews, The Theory of Partitions, Addison-Wesley, 1976; Reissued Cambridge, 1998

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T10:41:36.679726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5011ed11-cafc-4ebd-b913-a81735f63c05 · outbound

This paper cites Andrews and B.C.

Modularity of tadpole Nahm sums in ranks 4 and 5 Andrews and B.C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:41:37.058882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ad7206cd-9c93-4e18-a6fd-88c4918dce91 · outbound

This paper cites Calinescu, A.

Modularity of tadpole Nahm sums in ranks 4 and 5 Calinescu, A

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T10:41:36.689461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37d1ea5f-1081-4e21-97b8-b84e933ed68f · outbound

This paper cites an unresolved cited work.

Modularity of tadpole Nahm sums in ranks 4 and 5 Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T10:41:36.694700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdfd22ff-b917-4d8a-843e-bb7b8bea4e38 · outbound

This paper cites Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation.

Modularity of tadpole Nahm sums in ranks 4 and 5 Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T10:41:36.699494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cddad4c-4484-4cfd-b612-43409b47598a · outbound

This paper cites Cherednik and B.

Modularity of tadpole Nahm sums in ranks 4 and 5 Cherednik and B

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T10:41:36.704793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7433b9bf-1f12-4928-83f3-fa6820289c1a · outbound

This paper cites Frye and F.G.

Modularity of tadpole Nahm sums in ranks 4 and 5 Frye and F.G

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:41:37.004567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d91f0a6b-b64e-4e2a-9108-f0b15e6e9e02 · outbound

This paper cites Gordon, A combinatorial generalization of the Rogers–Raman ujan identities, Amer.

Modularity of tadpole Nahm sums in ranks 4 and 5 Gordon, A combinatorial generalization of the Rogers–Raman ujan identities, Amer

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:41:36.986194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation aab16fb3-b41e-4354-923d-67008d5023f4 · outbound

This paper cites Milas and L.

Modularity of tadpole Nahm sums in ranks 4 and 5 Milas and L

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T10:41:36.719300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c24d1e3-14a8-4bcc-8388-289bfec81788 · outbound

This paper cites an unresolved cited work.

Modularity of tadpole Nahm sums in ranks 4 and 5 Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T10:41:36.724578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9767f99c-516b-430e-a385-91ec8640f533 · outbound

This paper cites Interface between Physics and Mathematics (Proceedings, Conference in Ha ngzhou, People’s Republic of China, September 1993).

Modularity of tadpole Nahm sums in ranks 4 and 5 Interface between Physics and Mathematics (Proceedings, Conference in Ha ngzhou, People’s Republic of China, September 1993)

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-16T10:41:36.729442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4dd64a3b-7d46-4a73-b320-ce367cb94250 · outbound

This paper cites Frontiers in Number Theory, Physics and Geometry.

Modularity of tadpole Nahm sums in ranks 4 and 5 Frontiers in Number Theory, Physics and Geometry

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T10:41:36.734524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1893bb9-d521-4871-9533-2b3c6cc3f1b7 · outbound

This paper cites Rogers, Second memoir on the expansion of certain inﬁnite p roducts, Proc.

Modularity of tadpole Nahm sums in ranks 4 and 5 Rogers, Second memoir on the expansion of certain inﬁnite p roducts, Proc

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T10:41:36.738965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5dbb003d-4bf0-4955-b59a-df38cea0a330 · outbound

This paper cites Rogers, On two theorems of combinatory analysis and some allied identities, Proc.

Modularity of tadpole Nahm sums in ranks 4 and 5 Rogers, On two theorems of combinatory analysis and some allied identities, Proc

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T10:41:36.743619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdaffc4b-8580-4a00-81af-c9372777ff95 · outbound

This paper cites Slater, Further identities of the Rogers–Ramanujan type.

Modularity of tadpole Nahm sums in ranks 4 and 5 Slater, Further identities of the Rogers–Ramanujan type

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:41:36.898221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e5c25bd6-25f8-47f4-b97c-df876b67031d · outbound

This paper cites Vlasenko and S.

Modularity of tadpole Nahm sums in ranks 4 and 5 Vlasenko and S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:41:36.881848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 15363a2f-9dce-42a9-9c4d-ea781461f4a3 · outbound

This paper cites Wang, Identities on Zagier’s rank two examples for Nahm’s pro blem, Res.

Modularity of tadpole Nahm sums in ranks 4 and 5 Wang, Identities on Zagier’s rank two examples for Nahm’s pro blem, Res

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T10:41:36.757162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4accb087-451a-475c-8f76-78ab30aa1396 · outbound

This paper cites Wang, Explicit forms and proofs of Zagier’s rank three examp les for Nahm’s problem, Adv.

Modularity of tadpole Nahm sums in ranks 4 and 5 Wang, Explicit forms and proofs of Zagier’s rank three examp les for Nahm’s problem, Adv

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T10:41:36.761660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c15d2be4-9492-463c-b8c5-a33338e3f59f · outbound

This paper cites Counterexamples to Zagier's Duality Conjecture on Nahm Sums.

Modularity of tadpole Nahm sums in ranks 4 and 5 Counterexamples to Zagier's Duality Conjecture on Nahm Sums

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T10:41:36.766075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0da4a1e4-caa2-4915-a2a3-d93db80268b4 · outbound

This paper cites Zagier, The dilogarithm function, in Frontiers in Number Theor y, Physics and Geometry, II, Springer, 2007, 3–65.

Modularity of tadpole Nahm sums in ranks 4 and 5 Zagier, The dilogarithm function, in Frontiers in Number Theor y, Physics and Geometry, II, Springer, 2007, 3–65

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:41:36.844078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation 51d2a9cb-ce70-49ec-b627-e8a9a9f3e39f · inbound

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples cites this paper.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Modularity of tadpole Nahm sums in ranks 4 and 5

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:35:35.836680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.