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Paper Citation Record · LEDGER

Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

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

0 of 0 outbound references displayed

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

source=pdf_text observed=2026-05-21T13:21:27.164386Z digest=sha256:cfee790e0d3920c97f882e1946a3b172f1082fb2c36902b4923fb042c9ac5272

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.

source=pdf_text observed=2026-08-16T10:20:21.301703Z digest=sha256:47dfe11dbfd72ccc3e349b3c176c867f9d518a5a537aeed3ab29a4ba44c90cd3

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.

source=pdf_text observed=2026-08-15T18:45:04.496697Z digest=sha256:ff63b5eee527d87d53e2898c7f50184b7de1695016b004f28c51d6b340b087a7

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.

source=arxiv_source observed=2026-08-15T16:09:45.785147Z digest=sha256:b284b467a2d94dedee68355ad22cc4369d7cb655d3c58c6f3006b8f88a921d54

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.

source=pdf_text observed=2026-08-04T08:38:29.369088Z digest=sha256:90eb4f872a9185fcc86996d6015e62a7dfde486757d270aa23b7371b5187e3fd

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

source=pdf_text observed=2026-05-17T01:55:34.806212Z digest=sha256:6ead95b6c139b377cd6f8356a20bd47696a5b10619537b91648da4dbe0829781

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

source=pdf_text observed=2026-05-16T05:08:35.099138Z digest=sha256:fb4f4e3588fd3386a6cb430b415533d51aa7835214bd74c323e4f3026549f99d

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.

source=pdf_text observed=2026-08-03T03:21:14.851230Z digest=sha256:65f196b2492f70080fd99911d977e3dcaad43201686556919c86adfa3338b2cb

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

source=pdf_text observed=2026-05-16T03:25:08.257953Z digest=sha256:b25889341f1ea1651a191bc2f5b7ce9347613c18b8a365d9536139b76b5d44b5

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

source=pdf_text observed=2026-06-29T20:24:21.767083Z digest=sha256:30f097c2297905ef203a4fad91c59e9520135bfa93cb30d5d42b5dad4c267c05

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.

source=pdf_text observed=2026-08-02T13:23:38.352834Z digest=sha256:152993b875b012c225139f23c99ccf0bee1b309637ae7a30a3cbc912f6e08ca0