Paper Citation Record · LEDGER

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples

As of 23 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 7 inbound Pith citation observations for arXiv:2508.12468.

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

pith.paper-citation-record.v1
2508.12468 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:35:35.783802Z

measured 35 of 35 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 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:20:17.663427Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T05:06:47.862764Z

Reference resolution

28 of 28 outbound references displayed

verified exact1
verified fuzzy13
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

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Outbound references

Observation f4aaa1a8-cc65-417f-acb9-5b3fe487c249 · outbound

This paper cites Andrews, Multiple q-series identities, Houston J.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Andrews, Multiple q-series identities, Houston J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:35:36.113751Z

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 e703f94e-c2ef-47f4-93c2-2cf28ce3d023 · outbound

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

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Andrews, The Theory of Partitions, Addison-Wesley, 1976; Reissued Cambridge, 1998

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T17:35:35.679213Z

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Unavailable: canonical work link unavailable.

Observation b18aaf9c-0efe-4253-8476-73446a08ce32 · outbound

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

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Berndt, Number Theory in the Spirit of Ramanujan, AMS 2006

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T17:35:35.682871Z

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Observation 3ee17d1e-133e-4e81-8ab8-aba51e46fdeb · outbound

This paper cites Bressoud, Analytic and combinatorial generalizations of the Rogers–Ramanujan identities, Mem.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Bressoud, Analytic and combinatorial generalizations of the Rogers–Ramanujan identities, Mem

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:35:36.083505Z

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

Observation 6a2ff28a-0c85-4558-9da1-c790c7ddd8f5 · outbound

This paper cites Bressoud, M.E.H.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Bressoud, M.E.H

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T17:35:35.690963Z

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Observation 04fc7811-de06-44ee-b36d-01c41eae51de · outbound

This paper cites Calegari, S.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Calegari, S

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:35:36.063652Z

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

Observation f11177dd-91f4-4067-a03b-90eb252e54e3 · outbound

This paper cites Calinescu, A.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Calinescu, A

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T17:35:35.699341Z

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Observation 15df7769-d21f-4779-b32a-7552b9e86ea8 · outbound

This paper cites an unresolved cited work.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:35:36.043574Z

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

Observation 2dc1590f-bb78-43b5-a140-19bc07f01033 · outbound

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

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

Resolution: unresolved; no resolver link, observed 2026-08-15T17:35:35.707678Z

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Unavailable: canonical work link unavailable.

Observation e5cf3eea-6182-494c-9062-0b7c924e7e7b · outbound

This paper cites Cherednik and B.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Cherednik and B

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T17:35:35.711785Z

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Observation 1014da48-6dc3-4f51-8370-b48802182348 · outbound

This paper cites Frye and F.G.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Frye and F.G

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:35:36.022189Z

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

Observation f97ab6de-7f25-426f-873c-c4fbab4dbfa5 · outbound

This paper cites Gasper and M.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Gasper and M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:35:36.009426Z

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Observation d8178464-e24a-471a-912d-5263bd892057 · outbound

This paper cites Lovejoy, A Bailey lattice.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Lovejoy, A Bailey lattice

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:35:35.997114Z

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

Observation ea0f4d0c-1be2-4c63-bf1d-34ca9c866df9 · outbound

This paper cites Mc Laughlin, Topics and methods in q-series, Monographs in Number Theory, 8, World Scientific Publishing Co.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Mc Laughlin, Topics and methods in q-series, Monographs in Number Theory, 8, World Scientific Publishing Co

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:35:35.984984Z

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

Observation 177e78ed-a995-483f-b341-d67dea37a518 · outbound

This paper cites Milas and L.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Milas and L

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T17:35:35.730227Z

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Observation 61cd02a1-df82-4437-a414-8248ab691c33 · outbound

This paper cites an unresolved cited work.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T17:35:35.734134Z

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Observation e32b2fb0-2dd0-4334-bd39-309c1d34f69a · outbound

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

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Interface between Physics and Mathematics (Proceedings, Conference in Hangzhou, People’s Republic of China, September 1993)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:35:35.955873Z

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Observation 53236ffa-278c-4008-b1c7-265a05895b9c · outbound

This paper cites Nahm, Conformal field theory and torsion elements of the Bloch group.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Nahm, Conformal field theory and torsion elements of the Bloch group

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:35:35.943564Z

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

Observation a9ed25a0-686d-44c4-b207-d417da84493b · outbound

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

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Rogers, Second memoir on the expansion of certain infinite products, Proc

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T17:35:35.746051Z

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Unavailable: canonical work link unavailable.

Observation aac028db-f67c-498d-b745-0d35999cd259 · outbound

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

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Rogers, On two theorems of combinatory analysis and some allied identities, Proc

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:35:35.922776Z

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

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

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

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 2026-08-23T06:30:58.430688+00:00.

Observation f817b6ff-415d-438f-9d77-de4a8cc0a00d · outbound

This paper cites Sills, Finite Rogers–Ramanujan type identities, Electron.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Sills, Finite Rogers–Ramanujan type identities, Electron

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:35:35.910600Z

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

Observation bae6f6d2-e93f-4eac-a02d-2c924e60a576 · outbound

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

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Slater, Further identities of the Rogers–Ramanujan type, Proc

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:35:35.897328Z

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

Observation f95dc811-7864-454d-adb6-796e40b5076d · outbound

This paper cites Vlasenko and S.

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Vlasenko and S

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T17:35:35.766147Z

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Observation a8d52c18-6be6-4bbd-a119-6a30cb30da73 · outbound

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

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Wang, Identities on Zagier’s rank two examples for Nahm’s problem, Res

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T17:35:35.770801Z

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Unavailable: canonical work link unavailable.

Observation 76c72970-3548-4383-9f11-df885fb19bbb · outbound

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

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Wang, Explicit forms and proofs of Zagier’s rank three examples for Nahm’s problem, Adv

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T17:35:35.775135Z

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Unavailable: canonical work link unavailable.

Observation dc771106-582a-4c19-9e2f-07598baab07c · outbound

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

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

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Unavailable: canonical work link unavailable.

Observation 676abe99-8b86-4162-b416-0936e156b9f0 · outbound

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

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Zagier, The dilogarithm function, in Frontiers in Number Theory, Physics and Geometry, II, Springer, 2007, 3–65

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:35:35.862994Z

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 63a205e3-762f-445d-99b7-6c4b5916132f · inbound

On a pair of three-colored (mod 10) partition identities cites this paper.

On a pair of three-colored (mod 10) partition identities Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T16:20:17.663427Z

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Unavailable: canonical work link unavailable.

Observation df2d8020-2b34-4982-9b95-ba4537342683 · inbound

Some new modular Nahm sums of ranks 3 and 4 cites this paper.

Some new modular Nahm sums of ranks 3 and 4 Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-06-27T05:30:35.702568Z

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

Observation d77d7e86-2ed6-49e8-b1fc-7b73827d74e6 · inbound

Proofs of five conjectural identities on modular rank four Nahm sums cites this paper.

Proofs of five conjectural identities on modular rank four Nahm sums Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-04T20:30:08.574155Z

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

Observation 9c7b4b67-8c2e-490c-b4ed-efd112d2579e · inbound

Proofs of five conjectural identities on modular rank four Nahm sums cites this paper.

Proofs of five conjectural identities on modular rank four Nahm sums Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-07-03T23:09:00.754852Z

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

Observation e6f554e2-f172-49d0-b845-a19aedf6033b · inbound

Proofs of five conjectural identities on modular rank four Nahm sums cites this paper.

Proofs of five conjectural identities on modular rank four Nahm sums Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-12T12:10:34.396168Z

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Observation 1214319f-029c-46df-9942-92c8c93eec57 · inbound

Modular Nahm Sums for the Inverse Cartan Matrix of Type $D_r$ cites this paper.

Modular Nahm Sums for the Inverse Cartan Matrix of Type $D_r$ Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-07-10T05:06:47.864036Z

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

Observation f0043f16-9bbe-48be-9906-0529495aeb23 · inbound

Nahm Sums Dual to Zagier's Rank-Three Examples and Related Identities cites this paper.

Nahm Sums Dual to Zagier's Rank-Three Examples and Related Identities Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:47.495167Z

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Unavailable: canonical work link unavailable.