Paper Citation Record · LEDGER

Unpaired Weyl fermion on an axion string in a finite lattice

As of 19 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2506.04324.

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

pith.paper-citation-record.v1
2506.04324 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:52:59.138292Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T02:33:52.349598Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T12:06:55.736287Z

Reference resolution

48 of 48 outbound references displayed

verified exact17
verified fuzzy3
unresolved28
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6e659390-87f2-4e22-82cd-275a0afc23a5 · outbound

This paper cites an unresolved cited work.

Unpaired Weyl fermion on an axion string in a finite lattice Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:53:00.310462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8e29cc5f-7792-42c1-9b85-7e5c6f1bcc34 · outbound

This paper cites mass” terms: the “scalar.

Unpaired Weyl fermion on an axion string in a finite lattice mass” terms: the “scalar

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:53:00.296830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 57073877-7e66-4b03-b858-786bdb7bd630 · outbound

This paper cites low energy spectrum includes localized chiral edge states [41–43].

Unpaired Weyl fermion on an axion string in a finite lattice low energy spectrum includes localized chiral edge states [41–43]

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:53:00.283416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b889e682-b990-4c0c-85ee-151d9606f3e2 · outbound

This paper cites To verify this explicitly, we will have to diagonalize the Hamiltonian Hstr in Eq.

Unpaired Weyl fermion on an axion string in a finite lattice To verify this explicitly, we will have to diagonalize the Hamiltonian Hstr in Eq

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:53:00.269550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 17ad9e35-5a41-4e22-9b46-cebec1457fa3 · outbound

This paper cites On Stability of Fermionic Superconducting Current in Cosmic String.

Unpaired Weyl fermion on an axion string in a finite lattice On Stability of Fermionic Superconducting Current in Cosmic String

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:53:00.109395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e9dfa66d-c6f9-4f06-a55b-5e6a6273f50c · outbound

This paper cites an unresolved cited work.

Unpaired Weyl fermion on an axion string in a finite lattice Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:53:00.238701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 26b50325-8857-42aa-9d4d-74eacc79d215 · outbound

This paper cites an unresolved cited work.

Unpaired Weyl fermion on an axion string in a finite lattice Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:53:00.224986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ae1a9fcb-41be-49f9-b0ab-84a36d7f78ae · outbound

This paper cites Axion string signatures II: A cosmological plasma collider.

Unpaired Weyl fermion on an axion string in a finite lattice Axion string signatures II: A cosmological plasma collider

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:53:00.148678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d800dab2-360d-4a99-a7a8-3c227d565efa · outbound

This paper cites Axion strings are superconducting.

Unpaired Weyl fermion on an axion string in a finite lattice Axion strings are superconducting

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:53:00.130234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bd2eb519-3c7a-42b9-93dd-66a8f146d549 · outbound

This paper cites Chiral Fermions from Lattice Boundaries.

Unpaired Weyl fermion on an axion string in a finite lattice Chiral Fermions from Lattice Boundaries

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:58.998792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d638fa9b-36fb-45ad-9eb9-cad5f9877329 · outbound

This paper cites an unresolved cited work.

Unpaired Weyl fermion on an axion string in a finite lattice Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:53:00.211246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4d7b4085-3716-4751-8763-73a5bc9facf0 · outbound

This paper cites an unresolved cited work.

Unpaired Weyl fermion on an axion string in a finite lattice Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:53:00.197171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7868b699-9795-492d-b43b-00d906d0d324 · outbound

This paper cites an unresolved cited work.

Unpaired Weyl fermion on an axion string in a finite lattice Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:53:00.182439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c75e0f04-41bc-4490-9a8b-af48e8329b2a · outbound

This paper cites an unresolved cited work.

Unpaired Weyl fermion on an axion string in a finite lattice Unresolved cited work

Reference 14

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:53:00.089169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c759ec7d-e55c-43e0-afa7-4f76db00f0f1 · outbound

This paper cites Chiral Determinant as an Overlap of Two Vacua.

Unpaired Weyl fermion on an axion string in a finite lattice Chiral Determinant as an Overlap of Two Vacua

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.020235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50664e81-d531-44b2-8673-b7159d4d1c4d · outbound

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

Unpaired Weyl fermion on an axion string in a finite lattice Axial symmetries in lattice QCD with Kaplan fermions

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.003219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 812dfc09-509e-4220-9453-9e21f4d46ff6 · outbound

This paper cites Vector like gauge theories with almost massless fermions on the lattice.

Unpaired Weyl fermion on an axion string in a finite lattice Vector like gauge theories with almost massless fermions on the lattice

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.007600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3449821a-c321-4d72-8c43-4aaaee0ea15d · outbound

This paper cites Exactly massless quarks on the lattice.

Unpaired Weyl fermion on an axion string in a finite lattice Exactly massless quarks on the lattice

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.011801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f976af4-ff02-4a29-b869-ec53533bcca8 · outbound

This paper cites Narayanan and H.

Unpaired Weyl fermion on an axion string in a finite lattice Narayanan and H

Reference 19

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:52:59.934965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ebd2aacd-5861-48f0-aa43-2fe0bbb6f889 · outbound

This paper cites Interacting Topological Insulator and Emergent Grand Unified Theory.

Unpaired Weyl fermion on an axion string in a finite lattice Interacting Topological Insulator and Emergent Grand Unified Theory

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.041711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59b3a248-ee8b-48fb-8906-dba87a234b33 · outbound

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

Unpaired Weyl fermion on an axion string in a finite lattice Abelian chiral gauge theories on the lattice with exact gauge invariance

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.024485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 924b7641-986a-44f3-9bf6-54f831a8ed0f · outbound

This paper cites Eichten and J.

Unpaired Weyl fermion on an axion string in a finite lattice Eichten and J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.028893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5ca002b-fd6d-4494-9cf7-6bbd1221fcdf · outbound

This paper cites A lattice non-perturbative definition of an SO(10) chiral gauge theory and its induced standard model.

Unpaired Weyl fermion on an axion string in a finite lattice A lattice non-perturbative definition of an SO(10) chiral gauge theory and its induced standard model

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.032889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f690f0b-3d5a-4b13-8eb5-d1f1db47907a · outbound

This paper cites Symmetry Protected Topological States of Interacting Fermions and Bosons.

Unpaired Weyl fermion on an axion string in a finite lattice Symmetry Protected Topological States of Interacting Fermions and Bosons

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.037195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe1dd96b-e517-4196-9664-f5a3dcab2e5b · outbound

This paper cites Exact lattice chiral symmetry in 2d gauge theory.

Unpaired Weyl fermion on an axion string in a finite lattice Exact lattice chiral symmetry in 2d gauge theory

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.063044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 103c3da4-57a8-4764-bd26-d95e6a4d2da7 · outbound

This paper cites A Solution to the 1+1D Gauged Chiral Fermion Problem.

Unpaired Weyl fermion on an axion string in a finite lattice A Solution to the 1+1D Gauged Chiral Fermion Problem

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.045760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1498d428-e87a-46db-bdc3-e8c425f168fd · outbound

This paper cites Chiral Lattice Fermions From Staggered Fields.

Unpaired Weyl fermion on an axion string in a finite lattice Chiral Lattice Fermions From Staggered Fields

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.050587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35919e44-e801-4299-8fd3-a5d640488171 · outbound

This paper cites an unresolved cited work.

Unpaired Weyl fermion on an axion string in a finite lattice Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:53:00.254783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b04896f4-c5cc-48aa-bef2-9357adc287b2 · outbound

This paper cites Symmetric Mass Generation.

Unpaired Weyl fermion on an axion string in a finite lattice Symmetric Mass Generation

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.054861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb38eaed-089f-40c1-b6e6-0d96d923117f · outbound

This paper cites Gapped Chiral Fermions.

Unpaired Weyl fermion on an axion string in a finite lattice Gapped Chiral Fermions

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.059109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a646b35-a2ba-40a5-a8fe-98da5d817674 · outbound

This paper cites The Standard Model from a New Phase Transition on the Lattice.

Unpaired Weyl fermion on an axion string in a finite lattice The Standard Model from a New Phase Transition on the Lattice

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:52:59.702989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4bb87046-001c-4fee-840d-887efad5df9c · outbound

This paper cites A Gauge-Fixing Action for Lattice Gauge Theories.

Unpaired Weyl fermion on an axion string in a finite lattice A Gauge-Fixing Action for Lattice Gauge Theories

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:52:59.683806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9d69d048-084a-4980-84d3-506c9933f532 · outbound

This paper cites an unresolved cited work.

Unpaired Weyl fermion on an axion string in a finite lattice Unresolved cited work

Reference 33

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:52:59.664457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 50316d12-cafe-4068-9f02-ede6649a9e4f · outbound

This paper cites Lattice Chiral Fermions Through Gauge Fixing.

Unpaired Weyl fermion on an axion string in a finite lattice Lattice Chiral Fermions Through Gauge Fixing

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:52:59.586395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bc660589-9eb0-4350-9f65-86c7aa1518e4 · outbound

This paper cites SU(N) chiral gauge theories on the lattice.

Unpaired Weyl fermion on an axion string in a finite lattice SU(N) chiral gauge theories on the lattice

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.084000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d23566a5-df19-459f-b8fb-7df124ca22de · outbound

This paper cites Running couplings in equivariantly gauge-fixed SU(N) Yang--Mills theories.

Unpaired Weyl fermion on an axion string in a finite lattice Running couplings in equivariantly gauge-fixed SU(N) Yang--Mills theories

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:52:59.550529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 698b7ef1-655f-4a76-a63a-66f71ca791f3 · outbound

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

Unpaired Weyl fermion on an axion string in a finite lattice Chiral gauge theory at the boundary between topological phases

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.093224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6746f6d7-93c8-4f90-bd19-fec60fab10b3 · outbound

This paper cites Weyl fermions on a finite lattice.

Unpaired Weyl fermion on an axion string in a finite lattice Weyl fermions on a finite lattice

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.097454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e043f936-931e-4a88-9814-39685c0c0aa7 · outbound

This paper cites Jackiw and C.

Unpaired Weyl fermion on an axion string in a finite lattice Jackiw and C

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.101584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2851b58c-a669-4e49-b9ac-ead89f8a4f28 · outbound

This paper cites Lattice Weyl Fermion on a Single Spherical Domain-Wall.

Unpaired Weyl fermion on an axion string in a finite lattice Lattice Weyl Fermion on a Single Spherical Domain-Wall

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:52:59.498905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 697408ef-1411-4a58-be12-749e4bf6a398 · outbound

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

Unpaired Weyl fermion on an axion string in a finite lattice Curved domain-wall fermion and its anomaly inflow

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.109658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8bdf8e23-11f8-4f01-b743-af77e653bc89 · outbound

This paper cites Chiral fermions on lattice axion strings.

Unpaired Weyl fermion on an axion string in a finite lattice Chiral fermions on lattice axion strings

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:52:59.461315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 227e9506-503f-4fd5-b837-86462fd6888d · outbound

This paper cites Generalized Hall current on a finite lattice.

Unpaired Weyl fermion on an axion string in a finite lattice Generalized Hall current on a finite lattice

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:52:59.441737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e66c99b2-6dd8-4a29-8f65-f7e5c2c2d6e9 · outbound

This paper cites Index theorems, generalized Hall currents and topology for gapless defect fermions.

Unpaired Weyl fermion on an axion string in a finite lattice Index theorems, generalized Hall currents and topology for gapless defect fermions

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:52:59.422305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 970e60b8-bca7-4d51-9b33-111e705172a0 · outbound

This paper cites Generalized Hall currents in topological insulators and superconductors.

Unpaired Weyl fermion on an axion string in a finite lattice Generalized Hall currents in topological insulators and superconductors

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:52:59.401796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 53363b8a-5228-485d-b202-b68dda39556b · outbound

This paper cites Chiral Symmetry and Lattice Fermions.

Unpaired Weyl fermion on an axion string in a finite lattice Chiral Symmetry and Lattice Fermions

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-07T10:52:59.130391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a78661c-2173-4c11-80e7-e2f222f2bd6a · outbound

This paper cites Jansen and M.

Unpaired Weyl fermion on an axion string in a finite lattice Jansen and M

Reference 47

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:52:59.364328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fb9fc4ac-7cb3-44e0-9a57-afb3f6632a3b · outbound

This paper cites Jansen, Chiral fermions and anomalies on a fi- nite lattice, Phys.

Unpaired Weyl fermion on an axion string in a finite lattice Jansen, Chiral fermions and anomalies on a fi- nite lattice, Phys

Reference 48

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:52:59.292548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 9f06345a-e948-4388-bdca-4b3ff527ea7c · inbound

Gauge field flow for chiral gauge theories on a slab cites this paper.

Gauge field flow for chiral gauge theories on a slab Unpaired Weyl fermion on an axion string in a finite lattice

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-07-02T12:06:55.737825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.