Paper Citation Record · LEDGER

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD

As of 22 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 3 inbound Pith citation observations for arXiv:1908.11684.

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

pith.paper-citation-record.v1
1908.11684 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:33:15.220301Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:36:43.698654Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T09:56:02.123953Z

Reference resolution

31 of 31 outbound references displayed

verified exact10
verified fuzzy0
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 53218f0d-b46d-41cf-83a2-2a43326f4c41 · outbound

This paper cites Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.069771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2bcdc25-f563-4028-857d-94a8def94294 · outbound

This paper cites Chiral symmetry and axial U(1) symmetry in finite temperature QCD with domain-wall fermion.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Chiral symmetry and axial U(1) symmetry in finite temperature QCD with domain-wall fermion

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.075585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b73c391d-4344-4a15-8ef3-d2ce36de98ed · outbound

This paper cites On the strength of the $U_A(1)$ anomaly at the chiral phase transition in $N_f=2$ QCD.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD On the strength of the $U_A(1)$ anomaly at the chiral phase transition in $N_f=2$ QCD

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.080981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db1d1d94-f9df-45a4-b822-7319a0abeeea · outbound

This paper cites Evidence of effective axial U(1) symmetry restoration at high temperature QCD.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Evidence of effective axial U(1) symmetry restoration at high temperature QCD

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.086005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c65fe67-05b9-4881-a787-f1d5e5322411 · outbound

This paper cites The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.090945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 769b2e76-54c2-4681-850b-705a671f30aa · outbound

This paper cites The QCD chiral transition, $\ua$ symmetry and the Dirac spectrum using domain wall fermions.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD The QCD chiral transition, $\ua$ symmetry and the Dirac spectrum using domain wall fermions

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.095913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9fee026-fb8b-4342-a9de-e316a72332a6 · outbound

This paper cites The QCD phase transition with physical-mass, chiral quarks.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD The QCD phase transition with physical-mass, chiral quarks

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.101418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c94d5e1c-bde8-4f3e-b835-c6fbaa420a3b · outbound

This paper cites Microscopic Origin of \boldmath{$U_A(1)$} Symmetry Violation in the High Temperature Phase of QCD.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Microscopic Origin of \boldmath{$U_A(1)$} Symmetry Violation in the High Temperature Phase of QCD

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.106924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06674d8e-8e45-4662-b9e7-efef69bf84cb · outbound

This paper cites The fate of axial U(1) in 2+1 flavor QCD towards the chiral limit.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD The fate of axial U(1) in 2+1 flavor QCD towards the chiral limit

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:33:15.653154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 64cb79e7-3d3b-47bb-bb8a-2c2d25b85e6a · outbound

This paper cites The High Temperature Phase of QCD and {\boldmath $U(1)_A$} Symmetry.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD The High Temperature Phase of QCD and {\boldmath $U(1)_A$} Symmetry

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.117201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b820828c-a105-4ec7-bc73-7877fb295047 · outbound

This paper cites Chiral symmetry restoration, eigenvalue density of Dirac operator and axial U(1) anomaly at finite temperature.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Chiral symmetry restoration, eigenvalue density of Dirac operator and axial U(1) anomaly at finite temperature

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.122262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a66cd54-98b2-4b51-b5c2-827f6a3c002c · outbound

This paper cites U(1) axial symmetry and Dirac spectra in QCD at high temperature.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD U(1) axial symmetry and Dirac spectra in QCD at high temperature

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:33:15.598130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b41fb35b-a3a0-418b-9aad-79f0bd0b6e18 · outbound

This paper cites an unresolved cited work.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:33:15.801056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 88dad3c8-40b9-4e9c-8bdc-1d56b0f8b1fc · outbound

This paper cites Relevance of the axial anomaly at the finite-temperature chiral transition in QCD.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Relevance of the axial anomaly at the finite-temperature chiral transition in QCD

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.137077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82f50c23-0c5c-4b67-9a3d-d358abf830d4 · outbound

This paper cites Bootstrapping phase transitions in QCD and frustrated spin systems.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Bootstrapping phase transitions in QCD and frustrated spin systems

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.141749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 541726f5-4506-4f3e-a9af-df88e66c898a · outbound

This paper cites Linking $U(2)\times U(2)$ to $O(4)$ model via decoupling.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Linking $U(2)\times U(2)$ to $O(4)$ model via decoupling

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.146498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65da8be0-e6cd-4135-87ae-46635c81191e · outbound

This paper cites Conformal Bootstrap Dashing Hopes of Emergent Symmetry.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Conformal Bootstrap Dashing Hopes of Emergent Symmetry

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.151643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2a50d68-9704-4939-9c30-4706445da629 · outbound

This paper cites Topology in the SU(Nf) chiral symmetry restored phase of unquenched QCD and axion cosmology.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Topology in the SU(Nf) chiral symmetry restored phase of unquenched QCD and axion cosmology

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:33:15.515285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 07abfc97-3b7c-4e4f-9353-aa693b10b1de · outbound

This paper cites Topology in the SU(N_f) chiral symmetry restored phase of unquenched QCD and axion cosmology II.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Topology in the SU(N_f) chiral symmetry restored phase of unquenched QCD and axion cosmology II

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:33:15.493869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 06f4a532-74eb-446e-84e4-90b183a0523d · outbound

This paper cites Patterns and partners for chiral symmetry restoration.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Patterns and partners for chiral symmetry restoration

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:33:15.472980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7003c594-bcb1-4b02-9c07-4dffb051b7b1 · outbound

This paper cites Chiral and $U(1)_A$ restoration for the scalar/pseudoscalar meson nonets.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Chiral and $U(1)_A$ restoration for the scalar/pseudoscalar meson nonets

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:33:15.451332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b9a2de3e-fdd2-440e-b8f4-45b0bdde8945 · outbound

This paper cites Moebius Fermions.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Moebius Fermions

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.175884Z

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Unavailable: canonical work link unavailable.

Observation e9b83e3f-d057-4c72-8d35-b3ca4129f39f · outbound

This paper cites The M\"obius Domain Wall Fermion Algorithm.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD The M\"obius Domain Wall Fermion Algorithm

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.180667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e9e6cb0-b239-4cb9-beb4-df0d071587d2 · outbound

This paper cites Violation of chirality of the M\"obius domain-wall Dirac operator from the eigenmodes.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Violation of chirality of the M\"obius domain-wall Dirac operator from the eigenmodes

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.185666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cd7f14a-70fb-4179-a00c-b392dabf632d · outbound

This paper cites Overlap/Domain-wall reweighting.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Overlap/Domain-wall reweighting

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:33:15.380134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f4361097-aab1-410f-be1e-ff05d744efdb · outbound

This paper cites Topological Susceptibility in $N_f=2$ QCD at Finite Temperature.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Topological Susceptibility in $N_f=2$ QCD at Finite Temperature

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:33:15.358803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d6a5862e-6bec-44ef-99d8-741b86e05fb4 · outbound

This paper cites Axial $U(1)$ symmetry at high temperature in 2-flavor lattice QCD.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Axial $U(1)$ symmetry at high temperature in 2-flavor lattice QCD

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:33:15.336679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 00a8da22-a49e-4373-81fa-5b9433a3c298 · outbound

This paper cites Axial U(1) symmetry and Dirac spectra in high-temperature phase of $N_f=2$ lattice QCD.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Axial U(1) symmetry and Dirac spectra in high-temperature phase of $N_f=2$ lattice QCD

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:33:15.314457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7ad1a4d0-2f2a-424b-9ab6-0d87ddc997eb · outbound

This paper cites Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.210800Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97d2a55c-512d-4973-9057-f25ff75f1e20 · outbound

This paper cites Approximate degeneracy of $J=1$ spatial correlators in high temperature QCD.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Approximate degeneracy of $J=1$ spatial correlators in high temperature QCD

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.215429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be66152b-fb0d-4cad-83a2-7125f2a5d22e · outbound

This paper cites Symmetries of spatial meson correlators in high temperature QCD.

Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD Symmetries of spatial meson correlators in high temperature QCD

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:15.220301Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation cb44add2-1b7c-4b33-8c93-d51d8a230166 · inbound

Chiral-spin symmetry of the meson spectral function above $T_c$ cites this paper.

Chiral-spin symmetry of the meson spectral function above $T_c$ Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T05:36:43.698654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbf541c6-3f65-44f3-81a6-b5108a45c517 · inbound

Study of symmetries in finite temperature $N_f=2$ QCD with M\"obius Domain Wall Fermions cites this paper.

Study of symmetries in finite temperature $N_f=2$ QCD with M\"obius Domain Wall Fermions Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T19:33:49.606232Z

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Unavailable: canonical work link unavailable.

Observation 60fc2dfa-37f9-4fb8-b55d-95cc789e0c49 · inbound

On the effective restoration of $U(1)_A$ symmetry at finite temperature cites this paper.

On the effective restoration of $U(1)_A$ symmetry at finite temperature Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD

Reference 54

Resolution: verified exact; arxiv_id, observed 2026-05-11T09:56:02.131008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.