Paper Citation Record · LEDGER

$\eta$ invariant of massive Wilson Dirac operator and the index

As of 19 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2501.02873.

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

pith.paper-citation-record.v1
2501.02873 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:09:49.985426Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-09T18:39:15.739495Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T16:06:46.996088Z

Reference resolution

33 of 33 outbound references displayed

verified exact4
verified fuzzy9
unresolved19
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 25c1d14e-4add-44db-99f9-8240eddeaeff · outbound

This paper cites Atiyah and I.M.

$\eta$ invariant of massive Wilson Dirac operator and the index Atiyah and I.M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:09:50.522183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 541566a8-00d4-45ad-99ed-b54569ef81c0 · outbound

This paper cites Nielsen and M.

$\eta$ invariant of massive Wilson Dirac operator and the index Nielsen and M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:09:50.507600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7c122a8e-0cf9-4c3a-9fd4-4777d5ea0946 · outbound

This paper cites Nielsen and M.

$\eta$ invariant of massive Wilson Dirac operator and the index Nielsen and M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:09:50.493078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 15753282-e3a5-4593-b68b-100ffa14cf29 · outbound

This paper cites Nielsen and M.

$\eta$ invariant of massive Wilson Dirac operator and the index Nielsen and M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:09:50.478210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 74baa66f-400b-46e2-bd07-62e0b569ad0d · outbound

This paper cites Exactly massless quarks on the lattice.

$\eta$ invariant of massive Wilson Dirac operator and the index Exactly massless quarks on the lattice

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.854304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff82d064-8bb3-4e14-b004-cc2c4e16a827 · outbound

This paper cites The index theorem in QCD with a finite cut-off.

$\eta$ invariant of massive Wilson Dirac operator and the index The index theorem in QCD with a finite cut-off

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.859382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79dc79cc-a614-4020-9552-6827fc789dc2 · outbound

This paper cites Ginsparg and K.G.

$\eta$ invariant of massive Wilson Dirac operator and the index Ginsparg and K.G

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:09:50.462589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 34ffc120-5f03-4dc2-9f4f-c7d4290b844b · outbound

This paper cites Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation.

$\eta$ invariant of massive Wilson Dirac operator and the index Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.869117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 715b6f84-7b7f-4caf-8a43-29c7ec059f69 · outbound

This paper cites Wilson,Quarks and strings on a lattice, inNew Phenomena in Subnuclear Physics, Part A, A.

$\eta$ invariant of massive Wilson Dirac operator and the index Wilson,Quarks and strings on a lattice, inNew Phenomena in Subnuclear Physics, Part A, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:09:50.444859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 93deb720-52f5-4c1b-82a5-c3a2910e1234 · outbound

This paper cites Atiyah, V.K.

$\eta$ invariant of massive Wilson Dirac operator and the index Atiyah, V.K

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:09:50.429870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2b74b37f-d3fa-4a45-80e2-d20754a09a64 · outbound

This paper cites Karoubi,Algèbres de Clifford et opèrateurs de Fredholm, C.

$\eta$ invariant of massive Wilson Dirac operator and the index Karoubi,Algèbres de Clifford et opèrateurs de Fredholm, C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:09:50.414659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f17b9a29-88fc-480c-a403-3b4b0c91196e · outbound

This paper cites Atiyah and I.M.

$\eta$ invariant of massive Wilson Dirac operator and the index Atiyah and I.M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:09:50.399978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 061eda63-271d-48bc-8e7c-73032b31630b · outbound

This paper cites A lattice version of the Atiyah-Singer index theorem.

$\eta$ invariant of massive Wilson Dirac operator and the index A lattice version of the Atiyah-Singer index theorem

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:09:50.315742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9ed3d4e3-4ad3-402b-b814-5efd4d32b10b · outbound

This paper cites The index theorem of lattice Wilson--Dirac operators via higher index theory.

$\eta$ invariant of massive Wilson Dirac operator and the index The index theorem of lattice Wilson--Dirac operators via higher index theory

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:09:50.293081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2fe6dd22-ef09-4573-b289-b1323dc59154 · outbound

This paper cites Atiyah-Patodi-Singer index from the domain-wall fermion Dirac operator.

$\eta$ invariant of massive Wilson Dirac operator and the index Atiyah-Patodi-Singer index from the domain-wall fermion Dirac operator

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.903185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d6d49a4-f045-4b3c-9ce0-17c798b3c4ff · outbound

This paper cites The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators.

$\eta$ invariant of massive Wilson Dirac operator and the index The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.907795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32fcc9ff-c26c-420c-82f7-afa256b740fe · outbound

This paper cites Mod-two APS index and domain-wall fermion.

$\eta$ invariant of massive Wilson Dirac operator and the index Mod-two APS index and domain-wall fermion

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.912265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35e93a4b-30cc-406d-bcb5-eb3c1542f4fd · outbound

This paper cites Understanding the index theorems with massive fermions.

$\eta$ invariant of massive Wilson Dirac operator and the index Understanding the index theorems with massive fermions

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.916739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a85b6b68-16b7-4455-8e35-1ad8b98c15ac · outbound

This paper cites The index of lattice Dirac operators and $K$-theory.

$\eta$ invariant of massive Wilson Dirac operator and the index The index of lattice Dirac operators and $K$-theory

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.921328Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe2b336d-10c1-402d-a852-6d76a7046ffe · outbound

This paper cites an unresolved cited work.

$\eta$ invariant of massive Wilson Dirac operator and the index Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:09:50.385015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ca035579-46ea-4dde-995e-199ce29d2a01 · outbound

This paper cites Axial anomaly and topological charge in lattice gauge theory with Overlap Dirac operator.

$\eta$ invariant of massive Wilson Dirac operator and the index Axial anomaly and topological charge in lattice gauge theory with Overlap Dirac operator

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:09:50.200909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 01914316-6491-4114-9754-7c65218a9b56 · outbound

This paper cites A Method for Simulating Chiral Fermions on the Lattice.

$\eta$ invariant of massive Wilson Dirac operator and the index A Method for Simulating Chiral Fermions on the Lattice

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.936104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0345db37-130c-4ebd-a976-f7c8e147168c · outbound

This paper cites Axial symmetries in lattice QCD with Kaplan fermions.

$\eta$ invariant of massive Wilson Dirac operator and the index Axial symmetries in lattice QCD with Kaplan fermions

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.940748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7a579b8-5839-487b-b957-3f205bbb2434 · outbound

This paper cites Chiral Fermions from Lattice Boundaries.

$\eta$ invariant of massive Wilson Dirac operator and the index Chiral Fermions from Lattice Boundaries

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.945366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77e3eff5-dad8-4689-b2d7-834a703791b7 · outbound

This paper cites The Schr\"odinger functional in lattice QCD with exact chiral symmetry.

$\eta$ invariant of massive Wilson Dirac operator and the index The Schr\"odinger functional in lattice QCD with exact chiral symmetry

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:09:50.134341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f2190d6b-0367-49d1-a1de-afada511e219 · outbound

This paper cites Witten,An SU(2) Anomaly,Phys.

$\eta$ invariant of massive Wilson Dirac operator and the index Witten,An SU(2) Anomaly,Phys

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.954180Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2606a760-bb65-4fa5-add2-302b20f81fd1 · outbound

This paper cites Curved domain-wall fermions.

$\eta$ invariant of massive Wilson Dirac operator and the index Curved domain-wall fermions

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.958682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d99bc76-bd0e-4f5f-bd0f-b202cd41a611 · outbound

This paper cites Curved domain-wall fermion and its anomaly inflow.

$\eta$ invariant of massive Wilson Dirac operator and the index Curved domain-wall fermion and its anomaly inflow

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.963064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f0cfb14-0c47-412f-9085-b3cb24381528 · outbound

This paper cites Chiral gauge theory at the boundary between topological phases.

$\eta$ invariant of massive Wilson Dirac operator and the index Chiral gauge theory at the boundary between topological phases

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.967516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bbbb300-5e0e-4f23-995a-0f741d8605e7 · outbound

This paper cites Weyl fermions on a finite lattice.

$\eta$ invariant of massive Wilson Dirac operator and the index Weyl fermions on a finite lattice

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.972115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62be8de6-4347-4d94-8072-515e2062b5d4 · outbound

This paper cites A lattice formulation of Weyl fermions on a single curved surface.

$\eta$ invariant of massive Wilson Dirac operator and the index A lattice formulation of Weyl fermions on a single curved surface

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.976533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 398d8e81-3dd5-4143-b064-6b88113b74ee · outbound

This paper cites Aoki,Study of Curved Domain-wall Fermions on a Lattice, Ph.D.

$\eta$ invariant of massive Wilson Dirac operator and the index Aoki,Study of Curved Domain-wall Fermions on a Lattice, Ph.D

Reference 32

Resolution: malformed identifier; doi_truncated, observed 2026-08-10T22:09:50.023742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 525939c0-f30d-4157-8dd9-de61f518ca7a · outbound

This paper cites Regulated chiral gauge theory and the strong CP problem.

$\eta$ invariant of massive Wilson Dirac operator and the index Regulated chiral gauge theory and the strong CP problem

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-10T22:09:49.985426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 147b5110-95c9-41ea-bfdd-f52fe28d0fa6 · inbound

Reflection Symmetry, APS Boundary Conditions, and Equivariant Spectral Flow on a Warped Cylinder cites this paper.

Reflection Symmetry, APS Boundary Conditions, and Equivariant Spectral Flow on a Warped Cylinder $\eta$ invariant of massive Wilson Dirac operator and the index

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-11T16:06:47.055294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.