Paper Citation Record · LEDGER

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher

As of 15 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2501.09626.

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

pith.paper-citation-record.v1
2501.09626 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:58:49.754490Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:14:36.255676Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:14:36.314693Z

Reference resolution

27 of 27 outbound references displayed

verified exact1
verified fuzzy25
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3f444df2-dc3b-42de-b97f-10b2949c52fe · outbound

This paper cites Bauer, Von den Coeﬃcienten der Reihen von Kugelfuncti onen einer Variablen, J.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Bauer, Von den Coeﬃcienten der Reihen von Kugelfuncti onen einer Variablen, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.345921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a7ed3694-3ee8-4714-ada8-7cd01a053ab3 · outbound

This paper cites Borwein and P.B.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Borwein and P.B

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.330415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d49411c9-4a00-4d86-a063-6d1be990d908 · outbound

This paper cites Chen, X.Y.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Chen, X.Y

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.313921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cf7ed544-5030-4fd0-b379-cddabb177aae · outbound

This paper cites Dilcher, Some q-series identities related to divisor functions, Discrete Math.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Dilcher, Some q-series identities related to divisor functions, Discrete Math

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.293061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3819fd4a-d835-477f-b749-d0e5e46c43fa · outbound

This paper cites Gould, Combinatorial Identities, Morgantown Prin ting and Binding Co., 1972.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Gould, Combinatorial Identities, Morgantown Prin ting and Binding Co., 1972

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.275089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8492854c-226c-4f5a-94df-cd788bd0f65f · outbound

This paper cites Guo, q-Analogues of the (E.2) and (F.2) supercongruences of Van Ha mme, Ra- manujan J.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Guo, q-Analogues of the (E.2) and (F.2) supercongruences of Van Ha mme, Ra- manujan J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.257711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4cdbae68-1304-4a68-9c93-9e08bd3c5474 · outbound

This paper cites Guo, q-Supercongruences modulo the fourth power of a cyclotomic p olynomial via creative microscoping, Adv.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Guo, q-Supercongruences modulo the fourth power of a cyclotomic p olynomial via creative microscoping, Adv

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.241062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0b6fee45-4985-418a-a802-2be385f8734c · outbound

This paper cites Guo and J.-C.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Guo and J.-C

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.224422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 94c7cf59-adea-488b-bdac-4472ded271dd · outbound

This paper cites Guo and W.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Guo and W

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T19:58:49.315221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ab84f15-dbe2-43a3-be64-ef882265a08a · outbound

This paper cites He, Some congruences on truncated hypergeometric se ries, Proc.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher He, Some congruences on truncated hypergeometric se ries, Proc

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.196284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cb194028-ef2d-48e7-8941-394c97a6adc8 · outbound

This paper cites Lehmer, On congruences involving Bernoulli numbers and the quotients of Fermat and Wilson, Ann.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Lehmer, On congruences involving Bernoulli numbers and the quotients of Fermat and Wilson, Ann

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.181475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 78d4e66f-78fd-430c-81fe-7088970f036e · outbound

This paper cites Long, Hypergeometric evaluation identities and sup ercongruences, Paciﬁc J.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Long, Hypergeometric evaluation identities and sup ercongruences, Paciﬁc J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.166469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cc7af889-6ff7-4756-b4e9-6dd1951033c1 · outbound

This paper cites Magnus, F.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Magnus, F

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.121381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3ecc980e-e0a0-4177-ba08-bc4a5ba4ecf7 · outbound

This paper cites Mao, Proof of two supercongruences of truncated hy pergeometric series 4F3, Acta Math.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Mao, Proof of two supercongruences of truncated hy pergeometric series 4F3, Acta Math

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.089282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 51cfca4a-3219-4df5-a72f-c57488667326 · outbound

This paper cites Mortenson, A p-adic supercongruence conjecture of van Hamme, Proc.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Mortenson, A p-adic supercongruence conjecture of van Hamme, Proc

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.073831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 658baf1e-d94c-4a3d-b416-696fe9225576 · outbound

This paper cites Ramanujan, Modular equations and approximation to π , Quart.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Ramanujan, Modular equations and approximation to π , Quart

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.058306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3b26d7a4-015d-43fa-9007-bb12ce6051fb · outbound

This paper cites Schneider, Symbolic summation assists combinatori cs, S´ em.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Schneider, Symbolic summation assists combinatori cs, S´ em

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.040873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 15fc4e73-d637-4064-9771-1012d8fd4a65 · outbound

This paper cites Sun, Super congruences and Euler numbers, Sci.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Sun, Super congruences and Euler numbers, Sci

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.025123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3f3de115-9f1a-4350-aa6b-adfe1f840709 · outbound

This paper cites Sun, A reﬁnement of a congruence result by van Hamm e and Mortenson, Illinois J.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Sun, A reﬁnement of a congruence result by van Hamm e and Mortenson, Illinois J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:50.009685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 635908bc-8115-4aae-abf7-e546cb8257cf · outbound

This paper cites Sun, Open conjectures on congruences.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Sun, Open conjectures on congruences

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:49.993543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5ff704e1-9540-4ecb-80be-514cd1efbce1 · outbound

This paper cites Swisher, On the supercongruence conjectures of van H amme, Res.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Swisher, On the supercongruence conjectures of van H amme, Res

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:49.977080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e2500948-0928-40aa-8c80-c8bfe0010981 · outbound

This paper cites Van Hamme, Advanced problem 6407, Amer.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Van Hamme, Advanced problem 6407, Amer

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:49.895209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ad27b741-4159-44ab-b8fe-b37bd0bea4be · outbound

This paper cites Van Hamme, Some conjectures concerning partial sums of generalized hypergeometric series, in: p-Adic functional analysis (Nijmegen, 1996), Lecture Notes in Pure and Appl.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Van Hamme, Some conjectures concerning partial sums of generalized hypergeometric series, in: p-Adic functional analysis (Nijmegen, 1996), Lecture Notes in Pure and Appl

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:49.861949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 144c3dde-91a2-4a31-befd-bda867e8a541 · outbound

This paper cites $p$-adic analogues of hypergeometric identities and their applications.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher $p$-adic analogues of hypergeometric identities and their applications

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:58:49.797967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 203a6777-aeb3-46bc-b824-305fe3338c9f · outbound

This paper cites Wilf and D.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Wilf and D

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:49.846324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 020585bc-b2fc-4203-9e38-42abdc4b4cf0 · outbound

This paper cites Wilf and D.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Wilf and D

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:49.829637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2fa3934f-684c-488f-981c-2f0f6c1a69b5 · outbound

This paper cites Zudilin, Ramanujan-type supercongruences, J.

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher Zudilin, Ramanujan-type supercongruences, J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:58:49.813981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 4a487329-238a-43eb-b4a5-a03b6c58c41f · inbound

A q-Supercongruence Motivated by Higher-Order Generalized Lehmer-Euler Numbers cites this paper.

A q-Supercongruence Motivated by Higher-Order Generalized Lehmer-Euler Numbers Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:14:36.324670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.