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Paper Citation Record · LEDGER

Winding number on 3D lattice

As of 17 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T22:03:35.007650Z digest=sha256:e05281b07772c61c145617db67f7719aadaf8401d233f089e170d948d51144e4

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:cafa1d59bf165de32a8e744c1f7545b03b103efa6070b3d01e8cd81f0f4a8b62

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=sha256:605e0df4649c3931b8b2470a37cd181e792c98992b648f8f3e15b604435c4630

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=sha256:5e8d689d6eb0ecc7b39e8095b0f71608b30a9c800a1041c18c52674be3c95b25

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=sha256:197175d757f99ee50ac7563b9820a85ad75784f7561fc89849db49c39b990381

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:e0c45a17c1affdc42491e4bcd7c03294ec63b22c8030defe79262bc53a57f9c8

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T22:03:35.147001Z digest=sha256:a6e2e122a65db33505b8f11348265c63b93716df25b5afad4d993252c5727b26

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T22:03:35.151508Z digest=sha256:3a0a8f880c773caafd08e2872aa03f970ec5c622efe1c5d5e650c58efb668a46

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T22:03:35.156761Z digest=sha256:92a692f5688fbeba6c0a3cc44ad4075cec1fafe0bb94bbf5839d7f8693428a5f

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:bb26a1a8a1aa0e066cddfd722d9738878fc472f894114645a50434fc7d56e4e6

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T22:03:35.291672Z digest=sha256:5934e5b2f3db0a8abef82d49c735eecd7f07382d2392c7f6467cd56cca8218b3

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:add80b07cfd75c94073b8502ad9a9c61a770b3c5c466467fa30c42753de14378

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-18T18:45:21.372358Z digest=sha256:4f8780e20e1543f21c9f8d2912e1e75c0f9fcc8812f05712192c0bad48b8287a