Paper Citation Record · LEDGER

Proofs of Two Conjectural Identities on Partial Nahm Sums

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2507.20270.

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

pith.paper-citation-record.v1
2507.20270 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:56:37.549460Z

measured 15 of 15 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 2026-08-15T16:20:17.736864Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T16:20:17.785455Z

Reference resolution

14 of 14 outbound references displayed

verified exact0
verified fuzzy8
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e5c00242-d499-4da5-bc25-964d15221afa · outbound

This paper cites an unresolved cited work.

Proofs of Two Conjectural Identities on Partial Nahm Sums Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:56:37.714048Z

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 63db391b-e638-42f3-9f61-905e8d431b0a · outbound

This paper cites Cherednik and B.

Proofs of Two Conjectural Identities on Partial Nahm Sums Cherednik and B

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T17:56:37.499614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51432457-e548-455f-9252-81bcc8bcfd67 · outbound

This paper cites Frye and F.G.

Proofs of Two Conjectural Identities on Partial Nahm Sums Frye and F.G

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:56:37.695728Z

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 23368d7d-18ca-4cde-a4d8-6f5771fbad92 · outbound

This paper cites Hickerson and E.T.

Proofs of Two Conjectural Identities on Partial Nahm Sums Hickerson and E.T

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:56:37.684768Z

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 079361b8-fad5-4a50-b0a8-26152d357247 · outbound

This paper cites Kim and J.

Proofs of Two Conjectural Identities on Partial Nahm Sums Kim and J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:56:37.672959Z

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 419764d4-7d83-4442-b404-2276a3e6b38d · outbound

This paper cites Lovejoy, Ramanujan-type partial theta identities and conjugate Bailey pairs, Ramanujan J.

Proofs of Two Conjectural Identities on Partial Nahm Sums Lovejoy, Ramanujan-type partial theta identities and conjugate Bailey pairs, Ramanujan J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:56:37.660584Z

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 0af5cd6a-37c3-4e8b-8b3c-d138fcc911e3 · outbound

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

Proofs of Two Conjectural Identities on Partial Nahm Sums Nahm, Conformal field theory and torsion elements of the Bloch group

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T17:56:37.520210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3dfbfb33-b777-4ce2-989d-f3ab570f36aa · outbound

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

Proofs of Two Conjectural Identities on Partial Nahm Sums Rogers, Second memoir on the expansion of certain infinite products, Proc

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T17:56:37.523955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6de6bba5-cb0f-42f1-bf4e-39583bab9ea3 · outbound

This paper cites Slater, A new proof of Rogers’ transformations of infinite series, Proc.

Proofs of Two Conjectural Identities on Partial Nahm Sums Slater, A new proof of Rogers’ transformations of infinite series, Proc

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:56:37.635595Z

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 74aa7d47-8e1f-4fc2-a96b-e150cb3805ed · outbound

This paper cites Vlasenko and S.

Proofs of Two Conjectural Identities on Partial Nahm Sums Vlasenko and S

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T17:56:37.532009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f7ca3cf-a5f0-4a7b-9080-92fb69745b34 · outbound

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

Proofs of Two Conjectural Identities on Partial Nahm Sums Wang, Identities on Zagier’s rank two examples for Nahm’s problem, Res

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:56:37.617208Z

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 6bc567d2-5283-4f12-8239-d53f26181579 · outbound

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

Proofs of Two Conjectural Identities on Partial Nahm Sums Wang, Explicit forms and proofs of Zagier’s rank three examples for Nahm’s problem, Adv

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:56:37.605644Z

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 14517ca1-3ed0-4ed3-9b59-a5c64f104735 · outbound

This paper cites Rogers--Ramanujan Type Identities for Rank Two Partial Nahm Sums.

Proofs of Two Conjectural Identities on Partial Nahm Sums Rogers--Ramanujan Type Identities for Rank Two Partial Nahm Sums

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T17:56:37.545245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32606c3b-dddf-46eb-8df4-d3399879d251 · outbound

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

Proofs of Two Conjectural Identities on Partial Nahm Sums Zagier, The dilogarithm function, in Frontiers in Number Theory, Physics and Geometry, II, Springer, 2007, 3–65

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:56:37.592212Z

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 048a5e79-f558-4b01-afcb-d644a07d8fbd · inbound

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

On a pair of three-colored (mod 10) partition identities Proofs of Two Conjectural Identities on Partial Nahm Sums

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:20:17.792633Z

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.