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Paper Citation Record · LEDGER

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation

As of 15 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 6 inbound Pith citation observations for arXiv:2412.15767.

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

pith.paper-citation-record.v1
2412.15767 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:19:02.884008Z

measured 27 of 27 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 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:35:35.707678Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T05:06:47.851525Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy17
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f8a793ca-3756-49eb-bb14-abc37ef4daba · outbound

This paper cites Andrews, The Theory of Partitions, Addison–Wesley, 1976; Reissued Cambridge, 1998.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Andrews, The Theory of Partitions, Addison–Wesley, 1976; Reissued Cambridge, 1998

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:03.209262Z

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.

source=pdf_text observed=2026-08-11T11:19:02.827963Z digest=sha256:a5e2959f15639500cb5d7375a3321054d43130e10cfe479c8228581c377bb548

Observation d8976f4e-beff-4643-85a8-be99cb587be0 · outbound

This paper cites Andrews and B.C.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Andrews and B.C

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:03.201078Z

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.

source=pdf_text observed=2026-08-11T11:19:02.832232Z digest=sha256:a3e24eccb5826f580b7aa19cad9c8898bb2045ac29b2b15c69ad79906c89b2af

Observation 5ab4c6df-2b9e-4645-8ce8-8101b8c702b3 · outbound

This paper cites Bressoud, M.E.H.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Bressoud, M.E.H

Reference 3

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raw_fallback, observed 2026-08-11T11:19:03.192239Z

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.

source=pdf_text observed=2026-08-11T11:19:02.834750Z digest=sha256:63679e48deac2666c17faf4bc544e660e1f7d28316bbfde660967c464d626135

Observation ae65f7cb-45ac-4488-9dc6-fb060cfcb67e · outbound

This paper cites Calegari, S.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Calegari, S

Reference 4

Resolution
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raw_fallback, observed 2026-08-11T11:19:03.183973Z

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.

source=pdf_text observed=2026-08-11T11:19:02.837457Z digest=sha256:d9f5c33deef77ffc7123dc0ac5726a668e7e5087da7928600209f61bbe89472f

Observation c247d766-3d9d-4356-8243-e6b33c6f069d · outbound

This paper cites an unresolved cited work.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Unresolved cited work

Reference 5

Resolution
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raw_fallback, observed 2026-08-11T11:19:03.175627Z

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.

source=pdf_text observed=2026-08-11T11:19:02.840351Z digest=sha256:49fd99932f447a9af32379ac6bb80dc577fee1b3f9fd01a460abc2c1558ea39c

Observation 9b24b729-dee3-4d72-90f2-8d2fca87ce5a · outbound

This paper cites Cherednik and B.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Cherednik and B

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:03.166781Z

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.

source=pdf_text observed=2026-08-11T11:19:02.843028Z digest=sha256:bdfba024765ca285da3941e9bd6625cec22269ae9d65a4bcaca688d6210fa4e2

Observation 57a57054-c2df-4260-85bc-45db3a065a5b · outbound

This paper cites an unresolved cited work.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T11:19:02.845919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:19:02.845919Z digest=sha256:4f3a94e7f51524036369fa531a35cdcf459c160214d854d566be3e41980f82fe

Observation 13833751-bdb6-40c5-bdc4-75299c833010 · outbound

This paper cites Gasper and M.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Gasper and M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:03.158268Z

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.

source=pdf_text observed=2026-08-11T11:19:02.848160Z digest=sha256:05d28d984d477084f6d08100d2d8768ad0448979f1f0454c112c266ba2235378

Observation a72922a1-824a-45f0-9b00-85fd08635a98 · outbound

This paper cites Kac and M.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Kac and M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:03.150022Z

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.

source=pdf_text observed=2026-08-11T11:19:02.850363Z digest=sha256:11321748268b36446ee38fe068e251944a0416ded8f7985f488924ef835f04d3

Observation 1fa83419-b7a6-4dd8-9e47-1c0809ac355d · outbound

This paper cites Mc Laughlin, Topics and methods in q-series, Monographs in Number Theory, 8, World Scientific Publishing Co.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Mc Laughlin, Topics and methods in q-series, Monographs in Number Theory, 8, World Scientific Publishing Co

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:03.141391Z

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.

source=pdf_text observed=2026-08-11T11:19:02.853148Z digest=sha256:048e17223a2cbe197bd5670ac66798107b5d206486e0e4cf47377614bd6ca921

Observation 24afd73d-a519-40c7-a5dd-1558dc20be03 · outbound

This paper cites Lee, Algebraic structures in modular q-hypergeometric series, PhD Thesis, University of California, Berkeley, 2012.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Lee, Algebraic structures in modular q-hypergeometric series, PhD Thesis, University of California, Berkeley, 2012

Reference 11

Resolution
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raw_fallback, observed 2026-08-11T11:19:03.132876Z

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.

source=pdf_text observed=2026-08-11T11:19:02.855854Z digest=sha256:703b050aead14182be612bd4a79408638e64e8cb9310b6c26fbe18743cc4325f

Observation e761827d-6a99-4c92-a0b1-ec7f37f3df98 · outbound

This paper cites Lovejoy, A Bailey lattice, Proc.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Lovejoy, A Bailey lattice, Proc

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-11T11:19:02.858355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:19:02.858355Z digest=sha256:70c64961142c1c809a6941c383cadf0abc83a972f9d4bc06b623d514188f31e3

Observation add348f4-92d6-491e-8cbf-3730c7003b22 · outbound

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

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Rogers, Second memoir on the expansion of certain infinite p roducts, Proc

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:03.119498Z

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.

source=pdf_text observed=2026-08-11T11:19:02.860996Z digest=sha256:28efcbbe09633198922c748cfa3044414e3799e2d17a0f60fd2a3fb14e52ab0b

Observation 0f3e4420-908b-4249-a1fb-1a259bdeb844 · outbound

This paper cites Slater, Further identities of the Rogers–Ramanujan type , Proc.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Slater, Further identities of the Rogers–Ramanujan type , Proc

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:03.111051Z

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.

source=pdf_text observed=2026-08-11T11:19:02.863628Z digest=sha256:244a4ce5196a72d56ed907460d16139a21c48727fddf7f580ae64b23c2133770

Observation 41abecd2-da26-469a-b416-e9f075662db2 · outbound

This paper cites Vlasenko and S.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Vlasenko and S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:03.101979Z

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.

source=pdf_text observed=2026-08-11T11:19:02.866169Z digest=sha256:48abed8b892b38e197223ae2b6e4dabc8799549f9f97965091f98e17a13f3633

Observation 22c7ac21-e912-459e-846b-d71274995f08 · outbound

This paper cites Xia and O.X.M.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Xia and O.X.M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:03.093357Z

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.

source=pdf_text observed=2026-08-11T11:19:02.868757Z digest=sha256:c9a296b662316ce7b88ca7813bfced4567df59a9767d6ebab505500ed2fbaf87

Observation 5409b91c-7702-4911-b2e5-491ee75d759d · outbound

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

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Wang, Identities on Zagier’s rank two examples for Nahm’s pro blem, Res

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:03.084372Z

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.

source=pdf_text observed=2026-08-11T11:19:02.871223Z digest=sha256:5092c98a63eed4e7212e164c49c429e3e9fcb4a8b3c8f0c6272fd699599887fa

Observation d66168a4-ff15-49ac-ba91-31a71de3082b · outbound

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

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Wang, Explicit forms and proofs of Zagier’s rank three examp les for Nahm’s problem, Adv

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:03.074337Z

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.

source=pdf_text observed=2026-08-11T11:19:02.873614Z digest=sha256:744f0544eaa34aafb00910f94150db8f214747022372303e733486414c241a41

Observation 46ceadd3-46ac-482b-a7ac-0df128f84ac9 · outbound

This paper cites Counterexamples to Zagier's Duality Conjecture on Nahm Sums.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Counterexamples to Zagier's Duality Conjecture on Nahm Sums

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-11T11:19:02.912394Z

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.

source=pdf_text observed=2026-08-11T11:19:02.876999Z digest=sha256:a9be405b5b792562174dec807793d7fa7a13ac2e3404c3344db10b4dfc370df7

Observation 3567233d-9728-4916-aee3-60609d61eae5 · outbound

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

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Zagier, The dilogarithm function, in Frontiers in Number Theor y, Physics and Geometry, II, Springer, 2007, 3–65

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:03.065089Z

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.

source=pdf_text observed=2026-08-11T11:19:02.880844Z digest=sha256:6e1fb928f03e4647648f3796c398b92ffb1b9aecb5c6a78d48bfa15f56fe0282

Observation 0361deb2-f834-424f-9d63-6dd702f72ea5 · outbound

This paper cites Zwegers, presentation.

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation Zwegers, presentation

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:03.057152Z

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.

source=pdf_text observed=2026-08-11T11:19:02.884008Z digest=sha256:38ce4612db86584b82d68e400fea20f0891038f928696c530d3b9f05c0eaa8e0

Pith citing papers

Observation 2dc1590f-bb78-43b5-a140-19bc07f01033 · inbound

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

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-15T17:35:35.707678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:35:35.707678Z digest=sha256:e34a6b732bc7ab2167a422f116554608a285e877e580a0adfa8bb22b5c45d9ae

Observation df97f3c2-21e8-444c-b15b-878b6fd8fee9 · inbound

Some new modular Nahm sums of ranks 3 and 4 cites this paper.

Some new modular Nahm sums of ranks 3 and 4 Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation

Reference 7

Resolution
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arxiv_id, observed 2026-06-27T05:30:35.702146Z

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.

source=pdf_text observed=2026-06-27T05:27:24.507034Z digest=sha256:f63c8c8d904ef23de052c7e8f5ae9745499d28cb527034da9631160abd902eff

Observation 322c7bc6-5042-4b0f-8dd4-153c9daefa42 · inbound

Proofs of five conjectural identities on modular rank four Nahm sums cites this paper.

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

Resolution
verified exact
arxiv_id, observed 2026-07-03T23:09:00.751902Z

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.

source=pdf_text observed=2026-07-03T23:06:39.268355Z digest=sha256:78ce79ccaca7361b35ad78901b153092b4c581e7634edfc8c538b60e797116fb

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

Proofs of five conjectural identities on modular rank four Nahm sums cites this paper.

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

Resolution
unresolved
no resolver link, observed 2026-07-12T12:10:34.396168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T12:10:34.396168Z digest=sha256:d0337bd707972c151745c2210f5ec4feea758509eb0fae73327c6607c04c5c94

Observation 89fc0752-c529-49bf-a2fe-3d54d19dccf4 · inbound

Modular Nahm Sums for the Inverse Cartan Matrix of Type $D_r$ cites this paper.

Modular Nahm Sums for the Inverse Cartan Matrix of Type $D_r$ Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-07-10T05:06:47.852954Z

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.

source=pdf_text observed=2026-07-10T05:05:53.011646Z digest=sha256:35b41e2eb7302da4d0bf6c3c282652f19c6ec0d9b3e95350fdade78cd8e06e8c

Observation 6eca6d16-092d-448c-b24b-435df31f2432 · 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 Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T00:03:47.421262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:03:47.421262Z digest=sha256:1d038dc32c5c71e597641bdb0258ebd86384bf3c581f7e028d8a4148902fe973