Paper Citation Record · LEDGER

A combinatorial proof for the positivity of the normalized Jacobi triple product tails

As of 12 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2606.27507.

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

pith.paper-citation-record.v1
2606.27507 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T01:41:02.180577Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T07:58:47.855374Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

verified exact1
verified fuzzy0
unresolved36
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 20364785-16ba-4ed4-88dc-0ab571eea20a · outbound

This paper cites Alvarez-Gaumé, G.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Alvarez-Gaumé, G

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation 41cf6429-425c-42a1-9d5b-90375a762d44 · outbound

This paper cites Andrews, The Theory of Partitions, Cambridge University Press, Cambridge, 1998.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Andrews, The Theory of Partitions, Cambridge University Press, Cambridge, 1998

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation 93862284-db8d-4ba1-ba27-6f608b0b1a68 · outbound

This paper cites an unresolved cited work.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation 2d406be6-b45a-43dc-84d3-642ee7fc4480 · outbound

This paper cites Andrews, M.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Andrews, M

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation 472b9c6c-6ddb-4016-b9c1-c3658196b84f · outbound

This paper cites Andrews, M.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Andrews, M

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation a7d7c2f8-c0ce-4ccb-a21f-74e8e682374c · outbound

This paper cites Andrews, D.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Andrews, D

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation 77d1aeb6-1145-417b-8d21-cc49d1fb41c3 · outbound

This paper cites Andrews, D.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Andrews, D

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation 3b14a16c-0cd5-4426-8ff2-5c0f393e3e73 · outbound

This paper cites Ballantine, B.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Ballantine, B

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation c7e431a8-9879-4973-9886-a9c95a15cd48 · outbound

This paper cites Ballantine, M.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Ballantine, M

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation c8531d6e-9c05-416f-9853-81a249d26c75 · outbound

This paper cites Chapman, Partition identities arising from involutions, Australas.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Chapman, Partition identities arising from involutions, Australas

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation 2c560d44-9aa8-4f9a-af3e-f936d440b65f · outbound

This paper cites Di Francesco, P.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Di Francesco, P

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation df3fe3d4-13e3-400e-b8e8-7845c0911111 · outbound

This paper cites Ding, L.H.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Ding, L.H

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation d0f66337-3fc9-4ef8-ba58-47e0bd1cc7df · outbound

This paper cites Proof of Merca's stronger conjecture on truncated Jacobi triple product series.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Proof of Merca's stronger conjecture on truncated Jacobi triple product series

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-01T18:45:58.955097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b09cdec6-de3e-4ce6-ab1d-bc6bd03dc4df · outbound

This paper cites Fraenkel, U.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Fraenkel, U

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation 473273ad-c744-4478-b907-b84a58be615d · outbound

This paper cites an unresolved cited work.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation 77401ac8-02d8-4173-89d2-a69f7c67fe1e · outbound

This paper cites an unresolved cited work.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation 2211fa5c-21ed-4c77-a000-8a993ac7ce93 · outbound

This paper cites Hopkins, J.A.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Hopkins, J.A

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation 2002734e-fe0a-4c89-9e9f-b9a9870c813b · outbound

This paper cites Hopkins, J.A.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Hopkins, J.A

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation e43daa34-f1eb-43de-bed2-4d4a2a6023ac · outbound

This paper cites Jin, E.H.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Jin, E.H

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation 8e944654-6f40-4d62-ba21-48f3e5833438 · outbound

This paper cites Kolitsch, M.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Kolitsch, M

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation 8b55951e-8ba0-4f7d-8a02-1be7d5eab3d9 · outbound

This paper cites Konan, A bijective proof of a generalization of the non-negative crank–odd mex identity, Electron.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Konan, A bijective proof of a generalization of the non-negative crank–odd mex identity, Electron

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation a4081fd8-da53-4476-8ef1-77e2f1ca647f · outbound

This paper cites Liu, On theq-partial differential equations andq-series, Ramanujan Math.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Liu, On theq-partial differential equations andq-series, Ramanujan Math

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Unavailable: canonical work link unavailable.

Observation 74c816e5-cbf1-4519-a63b-a0777cfcb426 · outbound

This paper cites Mao, Asymptotics for the coefficients of the truncated theta series, Appl.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Mao, Asymptotics for the coefficients of the truncated theta series, Appl

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Unavailable: canonical work link unavailable.

Observation a5c94365-9ec4-4ba0-b0ed-5f38de19d29d · outbound

This paper cites Mao, Proofs of two conjectures on truncated series, J.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Mao, Proofs of two conjectures on truncated series, J

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Unavailable: canonical work link unavailable.

Observation 7b452635-541c-49f5-9634-e6c704d1d3b0 · outbound

This paper cites Melzer, Fermionic character sums and the corner transfer matrix, Internat.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Melzer, Fermionic character sums and the corner transfer matrix, Internat

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Unavailable: canonical work link unavailable.

Observation d5aa7f7d-41b2-4d5b-8069-764241c0addf · outbound

This paper cites Merca, Truncated theta series and Rogers–Ramanujan functions, Exp.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Merca, Truncated theta series and Rogers–Ramanujan functions, Exp

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Unavailable: canonical work link unavailable.

Observation 2d61f224-4a92-42be-9f56-ae5555827d45 · outbound

This paper cites Merca, On two truncated quintuple series theorems, Exp.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Merca, On two truncated quintuple series theorems, Exp

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Unavailable: canonical work link unavailable.

Observation a21c8bda-3796-4474-9c63-b2692639837f · outbound

This paper cites Schlosser, N.H.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Schlosser, N.H

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Unavailable: canonical work link unavailable.

Observation 9e0719d4-ba3c-4d78-8654-29010e97ac40 · outbound

This paper cites Shanks, A short proof of an identity of Euler, Proc.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Shanks, A short proof of an identity of Euler, Proc

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Unavailable: canonical work link unavailable.

Observation 7255878c-718e-4ae3-a2cb-b211fcad227c · outbound

This paper cites Warnaar, Partial-sum analogues of the Rogers–Ramanujan identities, J.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Warnaar, Partial-sum analogues of the Rogers–Ramanujan identities, J

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Unavailable: canonical work link unavailable.

Observation e8a1fdb5-535c-4fc7-86be-7f41d4116d0e · outbound

This paper cites Wang, A.J.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Wang, A.J

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Observation db1cc8dc-99f0-4281-9c0a-d82496ec6a4c · outbound

This paper cites Wang, A.J.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Wang, A.J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Unavailable: canonical work link unavailable.

Observation 89ac1ebb-98c2-41cb-8cd6-2af5fcc42a6a · outbound

This paper cites an unresolved cited work.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Unavailable: canonical work link unavailable.

Observation 584e0989-55b5-4523-9dfb-76768f749211 · outbound

This paper cites Xia, A.J.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Xia, A.J

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57389681-328a-43ab-a8ed-206e56483edb · outbound

This paper cites Yao, Combinatorial interpretations of truncated series from the Jacobi triple product identity, European J.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Yao, Combinatorial interpretations of truncated series from the Jacobi triple product identity, European J

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Unavailable: canonical work link unavailable.

Observation 8e03ec7c-378f-45ca-b4ce-8b356a7fa7cf · outbound

This paper cites Yee, A truncated Jacobi triple product theorem, J.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Yee, A truncated Jacobi triple product theorem, J

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Unavailable: canonical work link unavailable.

Observation f7b2863b-15cf-4d24-b830-d89bd0be614c · outbound

This paper cites Zhou, Positivity and tails of pentagonal number series, J.

A combinatorial proof for the positivity of the normalized Jacobi triple product tails Zhou, Positivity and tails of pentagonal number series, J

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-29T01:41:02.180577Z

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Pith citing papers

Observation 469f5bd9-818f-48c2-9016-cadaef7e971f · inbound

Positivity and tails of Jacobi theta series cites this paper.

Positivity and tails of Jacobi theta series A combinatorial proof for the positivity of the normalized Jacobi triple product tails

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T07:58:47.855374Z

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Unavailable: canonical work link unavailable.