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Paper Citation Record · LEDGER

Winding number on 3D lattice

As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2412.03888.

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

pith.paper-citation-record.v1
2412.03888 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:03:35.398571Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:34:43.218657Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T18:46:45.164620Z

Reference resolution

20 of 20 outbound references displayed

  • verified exact5
  • verified fuzzy0
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 82483d4e-2564-4eff-bd04-a53ea4328192 · outbound

This paper cites Friedan, Commun.

Winding number on 3D lattice Friedan, Commun

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:34.813391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:34.813391Z digest=sha256:0c064afc6de9828c3be23d55887fe28d18122cc0097d662cfe059edc5548de9b

Observation 73c629ee-45c8-4c3e-a188-e2f5b8ad5b46 · outbound

This paper cites L¨ uscher, Commun.

Winding number on 3D lattice L¨ uscher, Commun

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:34.874523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:34.874523Z digest=sha256:82ef43ba85c6b3b876757a1e5eb6e59807a0c356dd94ecc393a27902074186ba

Observation fa9d5c2b-78f5-4da8-9837-e04e92b845c7 · outbound

This paper cites Seiberg, Phys.

Winding number on 3D lattice Seiberg, Phys

Reference 3

Resolution
verified exact
doi, observed 2026-08-11T22:03:35.770085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:03:35.007650Z digest=sha256:a48058c8e388adcf42f6819deba3c486acc59384bd4d7a6310e606f6ec557ad8

Observation ed1d7fa4-7c19-4732-920c-515f3b21a9ef · outbound

This paper cites Classification of topological insulators and superconductors in three spatial dimensions.

Winding number on 3D lattice Classification of topological insulators and superconductors in three spatial dimensions

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:35.012523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:35.012523Z digest=sha256:a39338bbc8c31b87c19ce04d17ce955989d5060b949057a271c849150fd095df

Observation 0f1dfb73-78cb-4365-b68d-2be49eccc5b8 · outbound

This paper cites A discrete formulation for three-dimensional winding number.

Winding number on 3D lattice A discrete formulation for three-dimensional winding number

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:35.018079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:35.018079Z digest=sha256:b3f31d85db14438098b5172ff6bf667cb5a063f589fcb8ea91474d9a2a75b49c

Observation 755979a0-1afe-417b-a54e-3025a8a82f27 · outbound

This paper cites Flow of unitary matrices: Real-space winding numbers in one and three dimensions.

Winding number on 3D lattice Flow of unitary matrices: Real-space winding numbers in one and three dimensions

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:35.023654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:35.023654Z digest=sha256:1fcc5071c1ebd26a5bf703c39c4730e37edbf4bb627b76cf876bdb30653c8ec6

Observation 4a0af2b2-87b0-41c2-b21e-39e14b023d05 · outbound

This paper cites an unresolved cited work.

Winding number on 3D lattice Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:35.029051Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:35.029051Z digest=sha256:30b18947897844cbd5ad00be0bf3aa68d0f22e2e458bb5fb1b405a0c0da026ee

Observation af3d2bf5-1d84-4e9f-8b17-dbfabff2cc83 · outbound

This paper cites An Explicit Categorical Construction of Instanton Density in Lattice Yang-Mills Theory.

Winding number on 3D lattice An Explicit Categorical Construction of Instanton Density in Lattice Yang-Mills Theory

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:35.033919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:35.033919Z digest=sha256:0264df9ad2876731dd0b5f4dcfb564d7b4d8429347ae76beff359b299b618477

Observation abb4203b-e7ee-4a7c-8b2d-19f4e6cccf83 · outbound

This paper cites Abelian chiral gauge theories on the lattice with exact gauge invariance.

Winding number on 3D lattice Abelian chiral gauge theories on the lattice with exact gauge invariance

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:35.039169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:35.039169Z digest=sha256:e52dd551acc31348b537b262c95f289a33076f0f26b13554d3a8f29ce7606795

Observation a9c15319-5109-446b-94ec-57d99ce6ab86 · outbound

This paper cites Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances.

Winding number on 3D lattice Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:35.119963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:35.119963Z digest=sha256:7ef5e850b918872bb5156e88e3e0292d2ace9e81bc415898491778bc915fd7b7

Observation b0839634-296f-4bfc-a95b-f2f0ee60ddae · outbound

This paper cites Properties and uses of the Wilson flow in lattice QCD.

Winding number on 3D lattice Properties and uses of the Wilson flow in lattice QCD

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:35.126784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:35.126784Z digest=sha256:803550181f21d2bf4118068c67d9db6d74d9f99c5ea25a9ef3ca10ce79a30558

Observation 02ffaaaa-f125-42fe-8328-54ca379c3a7e · outbound

This paper cites Lattice gradient flows (de-)stabilizing topological sectors.

Winding number on 3D lattice Lattice gradient flows (de-)stabilizing topological sectors

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:35.132195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:35.132195Z digest=sha256:5035440254a72304a0933fe1ac38473d5a37d8208914c63656015c430497450a

Observation 6b2ad71f-7103-479a-9523-8013edce4451 · outbound

This paper cites Instantons from over-improved cooling.

Winding number on 3D lattice Instantons from over-improved cooling

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:35.137601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:35.137601Z digest=sha256:2084000f306f287e60f69bff4651b392684e1c932384a848a2c03d163339c232

Observation 5d69c01d-4f70-4c0f-a66e-71b07c4e0572 · outbound

This paper cites Topological susceptibility and Instanton size distribution from over-improved cooling.

Winding number on 3D lattice Topological susceptibility and Instanton size distribution from over-improved cooling

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:35.142460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:35.142460Z digest=sha256:747931c2bf9d668bd51516a8b19a52ea268360df97fb5b9e1b3139b3ae608e1f

Observation 97ff24c1-2f9a-4b0f-81f1-7ee2c3571d51 · outbound

This paper cites So, Prog.

Winding number on 3D lattice So, Prog

Reference 15

Resolution
verified exact
doi, observed 2026-08-11T22:03:35.752582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:03:35.147001Z digest=sha256:fcb5d261aa34146a47410f52429c6707596ef9928d26e99ef045e1e2641bb2af

Observation 9a2dbcae-6e73-4e79-93b0-c5c61cd54fa1 · outbound

This paper cites Coste and M.

Winding number on 3D lattice Coste and M

Reference 16

Resolution
verified exact
doi, observed 2026-08-11T22:03:35.548667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:03:35.151508Z digest=sha256:bfa18e4e4de172fd8bf8b4d831c6114c63813f5b4f4680b1c3b6cc66addcf3e4

Observation 874be29a-a331-4ee4-8291-3471301e2a46 · outbound

This paper cites Fujiwara, K.

Winding number on 3D lattice Fujiwara, K

Reference 17

Resolution
verified exact
raw_fallback, observed 2026-08-11T22:03:36.022167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:03:35.156761Z digest=sha256:7757d87d7f6531852b660f8eaf048c8e0b3ff56f1bfdaed87bd962b0a4e49e8f

Observation 88d7f4b7-0d22-40ce-8ab1-3a12417bab15 · outbound

This paper cites JuliaQCD: Portable lattice QCD package in Julia language.

Winding number on 3D lattice JuliaQCD: Portable lattice QCD package in Julia language

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:35.183079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:35.183079Z digest=sha256:066a2c011f4c5452993e670745f7087814c5ecfe4ec466ea6dc32ed3f1b43b88

Observation d02e8c11-4dad-40eb-b934-210618e7610d · outbound

This paper cites Iwasaki and T.

Winding number on 3D lattice Iwasaki and T

Reference 19

Resolution
verified exact
doi, observed 2026-08-11T22:03:35.487546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T22:03:35.291672Z digest=sha256:85397bf3aeb8a63ca41556af6ba42c58118a4f36f24d940ae8156f57e05e7184

Observation da76a8ba-0ff0-49a6-adec-b4f6fea98fc0 · outbound

This paper cites Witten, Commun.

Winding number on 3D lattice Witten, Commun

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T22:03:35.398571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:03:35.398571Z digest=sha256:850c1b7e4e3279e8a6854f2f9c92d71c906a1ad58c2b60dd13e76e133e18c3ef

Pith citing papers

Observation f84d9736-fba7-44de-876e-a318853f94a6 · inbound

A Discrete Formulation of Second Stiefel-Whitney Class for Band Theory cites this paper.

A Discrete Formulation of Second Stiefel-Whitney Class for Band Theory Winding number on 3D lattice

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-11T04:34:43.218657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:34:43.218657Z digest=sha256:d932b1fbcbbb4a2893d41e5dc3506b318c2a155bcaf101b196b5e63d28a0d9d1

Observation ebb407a3-176b-4d1e-9630-2a9efe2ee649 · inbound

Flux-switching Floquet engineering cites this paper.

Flux-switching Floquet engineering Winding number on 3D lattice

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-05-18T18:46:45.167088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-18T18:45:21.372358Z digest=sha256:0824068562b10f08e980f03e33a35bfe04c903ebf070c8b4b5a178cf47072698