Paper Citation Record · LEDGER

Ordinary limits of the hyperbolic hypergeometric integral identities

As of 19 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2412.21108.

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

pith.paper-citation-record.v1
2412.21108 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:06:38.961467Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T15:26:15.267953Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T15:26:15.452457Z

Reference resolution

25 of 25 outbound references displayed

verified exact4
verified fuzzy3
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dab21413-9f81-4153-b022-3de9c458f74c · outbound

This paper cites S^3/Z_n partition function and dualities.

Ordinary limits of the hyperbolic hypergeometric integral identities S^3/Z_n partition function and dualities

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.841467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation deb012c3-c503-4964-ba2f-c863f5fff5df · outbound

This paper cites Factorization of S^3/Z_n partition function.

Ordinary limits of the hyperbolic hypergeometric integral identities Factorization of S^3/Z_n partition function

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.847640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c759fc9-ede7-4156-bdb6-6b2d3a22c2dc · outbound

This paper cites Gahramanov and A.

Ordinary limits of the hyperbolic hypergeometric integral identities Gahramanov and A

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.854247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcd60b9e-9ece-4e4c-b046-beaadadd797c · outbound

This paper cites 4d Index to 3d Index and 2d TQFT.

Ordinary limits of the hyperbolic hypergeometric integral identities 4d Index to 3d Index and 2d TQFT

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.859260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00ae6c20-9171-4c6a-8699-3f2042eed2b1 · outbound

This paper cites Yamazaki, Four-dimensional superconformal index reloaded, Theor.

Ordinary limits of the hyperbolic hypergeometric integral identities Yamazaki, Four-dimensional superconformal index reloaded, Theor

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:06:40.325278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0663c37f-87e4-47e7-904d-4e8b6d8df78f · outbound

This paper cites an unresolved cited work.

Ordinary limits of the hyperbolic hypergeometric integral identities Unresolved cited work

Reference 6

Resolution: verified exact; raw_fallback, observed 2026-08-10T23:06:40.139212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f7e272fc-4db2-4919-8c69-e92b2fcd5f2b · outbound

This paper cites Partition functions of N=(2,2) gauge theories on S^2 and vortices.

Ordinary limits of the hyperbolic hypergeometric integral identities Partition functions of N=(2,2) gauge theories on S^2 and vortices

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.873822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd731cb0-3cbd-4aaf-9e80-992fd804584b · outbound

This paper cites Exact Results in D=2 Supersymmetric Gauge Theories.

Ordinary limits of the hyperbolic hypergeometric integral identities Exact Results in D=2 Supersymmetric Gauge Theories

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.879016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01f97ae4-c6d5-48b4-a59a-88862f40eaf7 · outbound

This paper cites Gahramanov and V.

Ordinary limits of the hyperbolic hypergeometric integral identities Gahramanov and V

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.884529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73c212e4-dfa5-4922-b569-dfac6ff79b4c · outbound

This paper cites Gahramanov and H.

Ordinary limits of the hyperbolic hypergeometric integral identities Gahramanov and H

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.889647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 157207d9-64c4-4142-803e-ffb750f00a90 · outbound

This paper cites an unresolved cited work.

Ordinary limits of the hyperbolic hypergeometric integral identities Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.894656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dcc2f28b-a167-4d38-8d35-a72f803ab52e · outbound

This paper cites Mullahasanoglu and N.

Ordinary limits of the hyperbolic hypergeometric integral identities Mullahasanoglu and N

Reference 12

Resolution: verified exact; raw_fallback, observed 2026-08-10T23:06:39.763151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 73d64ec5-c453-4e13-98f7-c75cd54bf826 · outbound

This paper cites Gahramanov, B.

Ordinary limits of the hyperbolic hypergeometric integral identities Gahramanov, B

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.904672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 876a5acf-27dc-4064-9e04-d7a5deaabcdc · outbound

This paper cites Gahramanov and S.

Ordinary limits of the hyperbolic hypergeometric integral identities Gahramanov and S

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.909384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84110dc5-d7c3-4576-8b95-0b61131b2199 · outbound

This paper cites Yamazaki, Integrability As Duality: The Gauge/YBE Correspondence , Phys.

Ordinary limits of the hyperbolic hypergeometric integral identities Yamazaki, Integrability As Duality: The Gauge/YBE Correspondence , Phys

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.914131Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad71f367-7bad-416f-a24c-573b446f6f09 · outbound

This paper cites Gahramanov, Integrability from supersymmetric duality: a short review , arXiv:2201.0035.

Ordinary limits of the hyperbolic hypergeometric integral identities Gahramanov, Integrability from supersymmetric duality: a short review , arXiv:2201.0035

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.918650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38910b1e-1fd4-4238-a4df-6e223bef39d7 · outbound

This paper cites S.N.M., A generalized hypergeometric function satisfying four ana lytic diﬀerence equations of askey–wilson type , Comm Math Phys 206 (1999) 639–690.

Ordinary limits of the hyperbolic hypergeometric integral identities S.N.M., A generalized hypergeometric function satisfying four ana lytic diﬀerence equations of askey–wilson type , Comm Math Phys 206 (1999) 639–690

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:06:40.309133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2aeabbb4-7ebb-44fc-ae15-9e081813245d · outbound

This paper cites Mullahasanoglu, The star–square relation and the generalized star–triangl e relation from 3d supersymmetric dualities I , Eur.

Ordinary limits of the hyperbolic hypergeometric integral identities Mullahasanoglu, The star–square relation and the generalized star–triangl e relation from 3d supersymmetric dualities I , Eur

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.927843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e29e0cb6-11b5-4145-a5da-97aa8e961151 · outbound

This paper cites Catak and M.

Ordinary limits of the hyperbolic hypergeometric integral identities Catak and M

Reference 19

Resolution: verified exact; raw_fallback, observed 2026-08-10T23:06:39.292758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7b2ef8f1-6bae-4f79-97c5-774e5d6fb035 · outbound

This paper cites Branges, L.

Ordinary limits of the hyperbolic hypergeometric integral identities Branges, L

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:06:40.291862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2ae9f53e-362e-457f-9d0b-5fca01fee409 · outbound

This paper cites an unresolved cited work.

Ordinary limits of the hyperbolic hypergeometric integral identities Unresolved cited work

Reference 21

Resolution: verified exact; raw_fallback, observed 2026-08-10T23:06:39.188289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6da32c45-a509-45c8-b9e7-194bdca5d597 · outbound

This paper cites an unresolved cited work.

Ordinary limits of the hyperbolic hypergeometric integral identities Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:06:40.275888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b04102ce-51f5-406e-88be-ba08aa108f95 · outbound

This paper cites A new pentagon identity for the tetrahedron index.

Ordinary limits of the hyperbolic hypergeometric integral identities A new pentagon identity for the tetrahedron index

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.951961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a157c980-599a-4623-87fc-9be3164a350a · outbound

This paper cites Integral pentagon relations for 3d superconformal indices.

Ordinary limits of the hyperbolic hypergeometric integral identities Integral pentagon relations for 3d superconformal indices

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.956836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67243076-7234-43fd-bef6-9422c37ce276 · outbound

This paper cites Catak, I.

Ordinary limits of the hyperbolic hypergeometric integral identities Catak, I

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-10T23:06:38.961467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 1259d237-c571-4691-95c5-1e6731a6f1c6 · inbound

Flipping relation as a reduced star-star relation cites this paper.

Flipping relation as a reduced star-star relation Ordinary limits of the hyperbolic hypergeometric integral identities

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-05T15:26:15.456539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.