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Paper Citation Record · LEDGER

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

As of 23 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 7 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 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:41:36.699494Z

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.827963Z digest=sha256:2b81304bea63a82246a44088a7305898581c0cb02c2dab648833ad6465291e4f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.832232Z digest=sha256:40c20364587ea81f2b5ba9f9e36e13014acd02eb4168d4b1c86082d62926cd7f

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

Resolution
verified fuzzy
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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.834750Z digest=sha256:257cba449d1ee8259f7dc3eced4df00aadad185633fbc12c3e2ccea1495a4027

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
verified fuzzy
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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.837457Z digest=sha256:51dc4afdb99f77143a6a49e11d74c3e31742ea7d5740fbcc47ca63b257205867

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
unresolved
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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.840351Z digest=sha256:999d7e7339c2620e4e114b8134a18024617e465490e9ad291b5c9d5f47f997cd

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.843028Z digest=sha256:67513ec121abf12c0b10e74e4580ff3b887639dc4fe2d0723acc4ed75fda060b

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.848160Z digest=sha256:63f5783f808dd8297807e380be9230e7b37b2d467f6c14a4680745b658317ed1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.850363Z digest=sha256:0ee06d2a9197608001faeeac93d230986dfc89d1ebec8a8ac3b8b89447e9f159

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.853148Z digest=sha256:c0eb899382771cfd596fe3e054073690e91272777d1e9db1ff11db6bfdb5e4f3

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
verified fuzzy
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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.855854Z digest=sha256:0093f4af04addfe4207521223ea55eaad2d88ebad185329d7f3d301b19abb3b4

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.860996Z digest=sha256:00b8bb5051cdd14c3c36150d442d705961b07f7ec3146a3887d6054934e15b87

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.863628Z digest=sha256:f236cb911376abdbffbeda5cdf8a36f967f98d183049894dbcf97fc2cdaf434e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.866169Z digest=sha256:60ff6b8470bf2c493072f21906c0b3a59e2f4c791af11b4fb8f6b52915e81a95

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.868757Z digest=sha256:7d1dacccbf6310da71777156da59e03dd30d4c74b5379fae0bb81567b431a2a5

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.871223Z digest=sha256:f1ef968104b5b32a52aa46db0275588ee682cfca8d47e62ee6c475cf526a074e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.873614Z digest=sha256:ce9240a924edd56d03b880a3dfa3003153b6ae6e7d438f5d5227665917436a8e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.876999Z digest=sha256:bcbcf1fc2cafd751dfd88afa442c955715a5df5e3d7cce6108af73a0b1cbe353

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.880844Z digest=sha256:d3bea2f3dbfb89316b1bbfd8cdabd9ecd4840bd231732e39d66a17284658f4ec

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T11:19:02.884008Z digest=sha256:4fb43d9c59e673b2e79069dea9cdfa27e0c8e5deaa6439a20e58466465c548d7

Pith citing papers

Observation fdfd22ff-b917-4d8a-843e-bb7b8bea4e38 · inbound

Modularity of tadpole Nahm sums in ranks 4 and 5 cites this paper.

Modularity of tadpole Nahm sums in ranks 4 and 5 Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-16T10:41:36.699494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:41:36.699494Z digest=sha256:dc18698d218fd49660628262b73a6f996861280e100aaae42279df980c0839b3

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:ce3d2c15489d810fadb8c635d9be1645f3388fa7ddd4b483503344b0b8b47dc9

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
verified exact
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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-06-27T05:27:24.507034Z digest=sha256:af0e4f81b9f494efc5216c3530327ed0b0a82f927c95d0515bf3c77d23381be3

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T23:06:39.268355Z digest=sha256:b170ec017857106c999be49370858e59b9ca6c5d82eef7b1a5bb8e795fe30622

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=sha256:308a32534137c1c330bf0ed5768baa187a1ab862b36e06ea160076330538e238

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:05:53.011646Z digest=sha256:6debf88fef308be1181d4094d4ed225f968c0baf34cc2718a04b3872cf3aaeeb

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:dbf9ab307eb1d69018f24923714f87dccc697a3a62f9720fefb8c42ef1d699b0