Paper Citation Record · LEDGER

Proofs of five conjectural identities on modular rank four Nahm sums

As of 21 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2606.25866.

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

pith.paper-citation-record.v1
2606.25866 v3

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measured 22 of 22 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-12T12:10:34.396168Z

measured 23 of 23 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T00:03:48.126040Z

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22 of 22 outbound references displayed

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Outbound references

Observation 5151870b-b85a-4f47-8af4-84f5b3800a63 · outbound

This paper cites Andrews,The theory of partitions, Addison-Wesley, Reading, MA, 1976; reissued: Cambridge University Press, Cambridge, 1998.

Proofs of five conjectural identities on modular rank four Nahm sums Andrews,The theory of partitions, Addison-Wesley, Reading, MA, 1976; reissued: Cambridge University Press, Cambridge, 1998

Reference 1

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Observation eb658182-84ce-4d94-bff8-759a1bc9fbb6 · outbound

This paper cites Berndt,Number theory in the spirit of Ramanujan, American Mathematical Society, Providence, RI,.

Proofs of five conjectural identities on modular rank four Nahm sums Berndt,Number theory in the spirit of Ramanujan, American Mathematical Society, Providence, RI,

Reference 2

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Observation 27adbca5-1392-4b0e-9d68-11be792da92a · outbound

This paper cites Borwein, P.B.

Proofs of five conjectural identities on modular rank four Nahm sums Borwein, P.B

Reference 3

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Observation 9c63bf01-4ec2-4c23-a497-01675d091b73 · outbound

This paper cites Calinescu, A.

Proofs of five conjectural identities on modular rank four Nahm sums Calinescu, A

Reference 4

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Observation 1af494bc-4aa9-4c47-8796-fde3266e15b4 · outbound

This paper cites an unresolved cited work.

Proofs of five conjectural identities on modular rank four Nahm sums Unresolved cited work

Reference 5

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Observation f3f719cc-34f9-45b2-9728-4f11b7eab829 · outbound

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

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

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

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

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

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Observation 28d0c3b2-36b8-4fc7-9d93-0a5b04057555 · outbound

This paper cites Cherednik and B.

Proofs of five conjectural identities on modular rank four Nahm sums Cherednik and B

Reference 8

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Observation b524ebf8-8077-40ee-b672-f69f4dd496b1 · outbound

This paper cites Gasper and M.

Proofs of five conjectural identities on modular rank four Nahm sums Gasper and M

Reference 9

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Observation e16403fd-b37e-4cf3-b8cb-11ace8e925d4 · outbound

This paper cites an unresolved cited work.

Proofs of five conjectural identities on modular rank four Nahm sums Unresolved cited work

Reference 10

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Observation d567abc8-99dd-4ef2-9cfb-2cd4fee53414 · outbound

This paper cites Nahm, Conformal field theory, dilogarithm and three dimensional manifold, in: W.

Proofs of five conjectural identities on modular rank four Nahm sums Nahm, Conformal field theory, dilogarithm and three dimensional manifold, in: W

Reference 11

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Observation d1ddb9f7-b42e-47bc-a54a-7ce34e4399d1 · outbound

This paper cites Nahm, Conformal field theory and torsion elements of the Bloch group, in: Frontiers in Number Theory, Physics and Geometry, II, Springer, 2007, pp.

Proofs of five conjectural identities on modular rank four Nahm sums Nahm, Conformal field theory and torsion elements of the Bloch group, in: Frontiers in Number Theory, Physics and Geometry, II, Springer, 2007, pp

Reference 12

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Observation a8c74225-fd01-40d1-8361-6bee2afb1ccf · outbound

This paper cites Ramanujan, Problem 584, J.

Proofs of five conjectural identities on modular rank four Nahm sums Ramanujan, Problem 584, J

Reference 13

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Observation 48f62c83-a606-4062-8d32-4722eccc507f · outbound

This paper cites Ramanujan, Proof of certain identities in combinatory analysis, Proc.

Proofs of five conjectural identities on modular rank four Nahm sums Ramanujan, Proof of certain identities in combinatory analysis, Proc

Reference 14

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Observation 503b8a9d-985c-43be-9847-8f4aafb0f86d · outbound

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

Proofs of five conjectural identities on modular rank four Nahm sums Rogers, Third memoir on the expansion of certain infinite products, Proc

Reference 15

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Observation a51ca5fa-7583-45b2-aba0-ba0310934bef · outbound

This paper cites Schur, Ein Beitrag zur additiven Zahlentheorie und zur Theorie der Kettenbrüche, Sitzungsber.

Proofs of five conjectural identities on modular rank four Nahm sums Schur, Ein Beitrag zur additiven Zahlentheorie und zur Theorie der Kettenbrüche, Sitzungsber

Reference 16

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Observation 4a107128-5f4e-45bd-a852-edfc9fb7adc7 · outbound

This paper cites Shi and L.

Proofs of five conjectural identities on modular rank four Nahm sums Shi and L

Reference 17

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Observation 80d6ed0a-9a05-4a94-86b0-e022891bd8a8 · outbound

This paper cites Sills,An invitation to the Rogers-Ramanujan identities, CRC Press, Boca Raton (2018).

Proofs of five conjectural identities on modular rank four Nahm sums Sills,An invitation to the Rogers-Ramanujan identities, CRC Press, Boca Raton (2018)

Reference 18

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Observation e809a985-7ef6-4d7f-afa7-c2b6bd400afa · outbound

This paper cites Vlasenko and S.

Proofs of five conjectural identities on modular rank four Nahm sums Vlasenko and S

Reference 19

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Observation 361ff18c-144a-41a9-8f91-7195c679d20e · outbound

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

Proofs of five conjectural identities on modular rank four Nahm sums Wang, Identities on Zagier’s rank two examples for Nahm’s conjecture, Res

Reference 20

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Observation 74f4ef9a-0623-4594-a361-b798e598de55 · outbound

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

Proofs of five conjectural identities on modular rank four Nahm sums Wang, Explicit forms and proofs of Zagier’s rank three examples for Nahm’s problem, Adv

Reference 21

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Observation 97619660-b7be-499f-8f34-5e9efb35405f · outbound

This paper cites Zagier, The dilogarithm function, in: Frontiers in Number Theory, Physics and Geometry, II, Springer- Verlag, 2007, pp.

Proofs of five conjectural identities on modular rank four Nahm sums Zagier, The dilogarithm function, in: Frontiers in Number Theory, Physics and Geometry, II, Springer- Verlag, 2007, pp

Reference 22

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Pith citing papers

Observation 1991ee7a-ce6c-49f1-8168-2beddf603c33 · 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 Proofs of five conjectural identities on modular rank four Nahm sums

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:48.126040Z

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