Paper Citation Record · LEDGER

Counterexamples to Zagier's Duality Conjecture on Nahm Sums

As of 23 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 4 inbound Pith citation observations for arXiv:2411.09701.

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

pith.paper-citation-record.v1
2411.09701 v4

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:35:35.305300Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:41:36.766075Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T11:19:02.907580Z

Reference resolution

24 of 24 outbound references displayed

verified exact4
verified fuzzy11
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 460ee467-63fe-482f-9d77-a17357f9e54a · outbound

This paper cites Andrews, Bressoud polynomials, Rogers–Ramanujan type id entities, and applications, Ramanujan J 41 (2016), 287–304.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Andrews, Bressoud polynomials, Rogers–Ramanujan type id entities, and applications, Ramanujan J 41 (2016), 287–304

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:35:35.670335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3e864cc5-791d-4a3e-af65-c79facd261bd · outbound

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

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Andrews, The Theory of Partitions, Addison-Wesley, 1976; Reissued Cambridge, 1998

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T20:35:35.202366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76efd4af-04e0-4480-babe-d0b1add7f2fb · outbound

This paper cites Berndt, Number Theory in the Spirit of Ramanujan, AMS 2006.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Berndt, Number Theory in the Spirit of Ramanujan, AMS 2006

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:35:35.645210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 62647ba9-8ed5-4d94-b4ff-172e3b23270f · outbound

This paper cites Calegari, S.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Calegari, S

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T20:35:35.211947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa5081ac-219e-4bf6-9aa1-3effd1a67f50 · outbound

This paper cites Calinescu, A.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Calinescu, A

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T20:35:35.216843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2bcb969-6d5f-458d-959f-0e981372bc47 · outbound

This paper cites an unresolved cited work.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T20:35:35.221810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 643e85e3-7c69-4f24-b69f-3278b604f3f5 · outbound

This paper cites Cao and L.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Cao and L

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:35:35.600178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1633476b-825b-47ad-8882-8d0508136a11 · outbound

This paper cites Cherednik and B.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Cherednik and B

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T20:35:35.231071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdfef647-0520-496c-a0d4-5bb80d13e58e · outbound

This paper cites Gasper and M.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Gasper and M

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T20:35:35.235707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c97e7ed6-d6c4-40c4-b92c-3bf7ea664822 · outbound

This paper cites Goddard, A.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Goddard, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:35:35.566638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6948fcd0-1cf0-4d52-bec6-dead41c63902 · outbound

This paper cites Mc Laughlin, A.V.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Mc Laughlin, A.V

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:35:35.552165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 15401c6d-0954-401f-91dc-3e0e3d5b62d1 · outbound

This paper cites Milas and L.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Milas and L

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:35:35.536880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 57593a3b-53d3-4dae-a606-2ec359ca2d33 · outbound

This paper cites Remarks on Nahm sums for symmetrizable matrices.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Remarks on Nahm sums for symmetrizable matrices

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-12T20:35:35.410148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8636250d-bd07-4e68-af81-9cc5e8b47b0f · outbound

This paper cites an unresolved cited work.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:35:35.521097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ea15f03b-6f90-4c82-b00a-1e26c50c0af5 · outbound

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

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Interface between Physics and Mathematics (Proceedings, Conference in Ha ngzhou, People’s Republic of China, September 1993)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:35:35.506448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c03dab8a-7f42-46a1-a2d0-48fb981793b7 · outbound

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

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Frontiers in Number Theory, Physics and Geometry

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:35:35.490947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e9ee1276-3528-415e-8f82-aa882ecdee57 · outbound

This paper cites Sills, An Invitation to the Rogers–Ramanujan Identities, CR C Press (2018).

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Sills, An Invitation to the Rogers–Ramanujan Identities, CR C Press (2018)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:35:35.476090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a0758a3c-f95e-4dd7-bd1d-73cd0bf03d2f · outbound

This paper cites Vlasenko and S.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Vlasenko and S

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:35:35.460853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8bb47d6c-ecf8-4b43-8358-edce72c2c099 · outbound

This paper cites Proofs of Mizuno's Conjectures on Generalized Rank Two Nahm Sums.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Proofs of Mizuno's Conjectures on Generalized Rank Two Nahm Sums

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-12T20:35:35.389032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0639c10f-899a-4610-abd8-606fe0999dcb · outbound

This paper cites Mizuno's rank three Nahm sums I: identities of index $(1,1,2)$.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Mizuno's rank three Nahm sums I: identities of index $(1,1,2)$

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-12T20:35:35.368168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6f4af7dc-09be-445a-9a56-20fae0064e19 · outbound

This paper cites Proofs of Mizuno's Conjectures on Rank Three Nahm Sums of Index $(1,2,2)$.

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Proofs of Mizuno's Conjectures on Rank Three Nahm Sums of Index $(1,2,2)$

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-12T20:35:35.346937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1d1af1f6-1093-4c67-88df-3cb416394f0e · outbound

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

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Wang, Identities on Zagier’s rank two examples for Nahm’s pro blem, Res

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-12T20:35:35.296371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99c0f7ef-a9ab-4c3f-9df7-d4fd9cc27e08 · outbound

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

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Wang, Explicit forms and proofs of Zagier’s rank three examp les for Nahm’s problem, Adv

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-12T20:35:35.301025Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a54ec867-c475-4c39-88f8-5d67167a7ea1 · outbound

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

Counterexamples to Zagier's Duality Conjecture on Nahm Sums Zagier, The dilogarithm function, in Frontiers in Number Theor y, Physics and Geometry, II, Springer, 2007, 3–65

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:35:35.425225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation 46ceadd3-46ac-482b-a7ac-0df128f84ac9 · inbound

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

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Counterexamples to Zagier's Duality Conjecture on Nahm Sums

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:19:02.912394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Modularity of tadpole Nahm sums in ranks 4 and 5 cites this paper.

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 dc771106-582a-4c19-9e2f-07598baab07c · 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 Counterexamples to Zagier's Duality Conjecture on Nahm Sums

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T17:35:35.779257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdca5e60-2b27-40a6-b52c-e28ca5d2b039 · inbound

3d $\mathcal N=4$ rank-zero mirror symmetry, TQFT interfaces, and Zagier duality of Nahm sums cites this paper.

3d $\mathcal N=4$ rank-zero mirror symmetry, TQFT interfaces, and Zagier duality of Nahm sums Counterexamples to Zagier's Duality Conjecture on Nahm Sums

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-14T04:34:00.757726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.