Paper Citation Record · LEDGER

Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:1912.13069.

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

pith.paper-citation-record.v1
1912.13069 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:20:21.301703Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T00:24:04.726464Z

Reference resolution

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 2b8b648a-efad-4966-a77c-ddc60a0e66fc · inbound

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond cites this paper.

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

Reference 266

Resolution: verified exact; arxiv_id, observed 2026-05-21T13:21:27.271196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 73fa972a-8f2a-4364-b1dc-704d493a4bd1 · inbound

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries cites this paper.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.301703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0cfc128-cf13-4b88-9922-f26db77c1662 · inbound

Anomaly of 4d Weyl fermions with discrete symmetries cites this paper.

Anomaly of 4d Weyl fermions with discrete symmetries Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T18:45:04.496697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c340180d-48b1-40b5-bb46-0ac1e96aaaa3 · inbound

The Classification of 3+1d Symmetry Enriched Topological Order cites this paper.

The Classification of 3+1d Symmetry Enriched Topological Order Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T16:09:45.785147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd7675d1-267f-469b-aa4a-69115ee51054 · inbound

Anomaly-induced vanishing of brane partition functions cites this paper.

Anomaly-induced vanishing of brane partition functions Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T08:38:29.369088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ae02054-9413-418d-8ad6-f0b05ebd6ed2 · inbound

Symmetry-Enforced Fermi Surfaces cites this paper.

Symmetry-Enforced Fermi Surfaces Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

Reference 9

Resolution: metadata mismatch; arxiv_id, observed 2026-05-17T01:58:51.666567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8ddace3b-9a0e-43fc-9820-b915d35bd376 · inbound

Generalized Families of QFTs cites this paper.

Generalized Families of QFTs Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

Reference 16

Resolution: metadata mismatch; arxiv_id, observed 2026-05-16T05:10:40.162758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 147f5e8a-3c9e-40ea-a435-020e20e884d7 · inbound

Generalized Families of QFTs cites this paper.

Generalized Families of QFTs Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T03:21:14.851230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8c8f5fa-1dcf-4205-92a4-9d8bc5ea0c48 · inbound

Symmetry Spans and Enforced Gaplessness cites this paper.

Symmetry Spans and Enforced Gaplessness Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

Reference 57

Resolution: metadata mismatch; arxiv_id, observed 2026-05-16T03:27:12.699865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1d7f52b2-11a7-4d9f-8736-13d142a78578 · inbound

Fermion Families and Pontryagin Class: Topological Field Theory via Colour Symmetry Extension cites this paper.

Fermion Families and Pontryagin Class: Topological Field Theory via Colour Symmetry Extension Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-06-30T00:24:04.727739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dbce4ac6-9e1c-4c6e-a7e0-0cffde0a8c7f · inbound

Fermion Families and Pontryagin Class: Topological Field Theory via Colour Symmetry Extension cites this paper.

Fermion Families and Pontryagin Class: Topological Field Theory via Colour Symmetry Extension Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T13:23:38.352834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.