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Paper Citation Record · LEDGER

Obstructions to Gapped Phases from Non-Invertible Symmetries

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:2212.14605.

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

pith.paper-citation-record.v1
2212.14605 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 14 of 14 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 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:20:21.507385Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-24T07:34:09.158861Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 36612d03-cef2-492e-bd7c-9e7d4d02c86f · inbound

ICTP Lectures on (Non-)Invertible Generalized Symmetries cites this paper.

ICTP Lectures on (Non-)Invertible Generalized Symmetries Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-05-16T07:50:05.329349Z

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=2026-05-16T07:50:05.029267Z digest=sha256:df64dd5444bd1994cdb57c479871d9da675b5523fade2b18f1c953c80d6204a2

Observation c3b2417f-785b-4388-adac-b2f5853c726d · inbound

Lectures on Generalized Symmetries cites this paper.

Lectures on Generalized Symmetries Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 156

Resolution
verified exact
arxiv_id, observed 2026-05-17T14:14:52.173563Z

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=2026-05-17T14:14:51.258769Z digest=sha256:ce13c53236fe2b4b29c13b81af579846be3b0465197752a4e9d83284e7fade16

Observation 7b6ef13c-a640-4b4a-84d6-0a63804de891 · inbound

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries cites this paper.

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 106

Resolution
verified exact
arxiv_id, observed 2026-05-24T07:34:09.161700Z

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=2026-05-24T07:32:13.524274Z digest=sha256:6af0a7e4c5f7e9fc39457141ce64042fbcbb5392753146dd78f17fb27e6da6a8

Observation 2f2de0c4-1449-4014-a9ba-f051a2d5757e · inbound

Lattice Models for Phases and Transitions with Non-Invertible Symmetries cites this paper.

Lattice Models for Phases and Transitions with Non-Invertible Symmetries Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-05-24T01:18:42.680732Z

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=2026-05-24T01:16:57.628200Z digest=sha256:46e8bd388ca979279e1cb99d8c063c5e31281e165e9fe40c18368116cb2f3c2e

Observation 5df63aaa-8592-42cd-9c36-ffb707b04dc7 · inbound

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT cites this paper.

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 80

Resolution
verified exact
arxiv_id, observed 2026-05-23T22:03:30.289244Z

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=2026-05-23T22:02:57.740404Z digest=sha256:12c0d3426a6ed7ff25621456ac5130a0350b637cba1b23ba843be31f68ac74a2

Observation 0fc88d11-b55a-4be3-a20d-558eb2823595 · inbound

The Higher Structure of Symmetries of Axion-Maxwell Theory cites this paper.

The Higher Structure of Symmetries of Axion-Maxwell Theory Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-12T20:28:55.860389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:28:55.860389Z digest=sha256:65f485bda2fba08c85c92a2a3cc23c5e4b0f0826d48d8b1fa4a9b5667f6a5c60

Observation 03b321f8-0f5f-4777-8948-79e0c056b37e · inbound

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

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-16T10:20:21.507385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:20:21.507385Z digest=sha256:4de2a2d8ab23b3d3d4fd9c29fea90b65a154076747e714b15dcfacfaeb296605

Observation 5de60bd2-0e49-40cb-ab99-cf489a56ba5a · inbound

SymTFT Approach for Mixed States with Non-Invertible Symmetries cites this paper.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 105

Resolution
unresolved
no resolver link, observed 2026-08-06T19:35:34.906959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:35:34.906959Z digest=sha256:ff4f8218e2bec1422c1d68389f0cb6b19741997a6c6930447a265ea21b092e3c

Observation 23793130-9d71-4de5-8794-d029f4c2c885 · inbound

Symmetry-Enforced Fermi Surfaces cites this paper.

Symmetry-Enforced Fermi Surfaces Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-17T01:58:51.701819Z

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=sha256:318d6fe16dc948659afecee598173a2f2d7d7f19a0d757acb561a980cb58f258

Observation e16c42a0-599f-40ac-81e1-ec6da9e4c7b0 · inbound

Generalized Families of QFTs cites this paper.

Generalized Families of QFTs Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-16T05:10:40.204638Z

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=sha256:70bf221b6562288216868d5ea3189c013a844e9add9fa60bce4161a0e15963a6

Observation 541bb007-f2b2-48d9-9131-02ae2b46a18a · inbound

Generalized Families of QFTs cites this paper.

Generalized Families of QFTs Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-03T03:21:14.853900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T03:21:14.853900Z digest=sha256:939c6d33a2e5a65379a907a25efa9b9854f2d5161a290b77ce8f41f6fa58b502

Observation 43711135-546e-4019-8669-a23cb19352a2 · inbound

Symmetry Spans and Enforced Gaplessness cites this paper.

Symmetry Spans and Enforced Gaplessness Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-05-16T03:27:13.088481Z

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=sha256:6cde9414475939a3f962d6f765301e4715312c2e780aa01ed8c62f2952c236f2

Observation 994311cc-fd3f-4410-ba49-863f5cd5354f · inbound

Lattice chiral symmetry from bosons in 3+1d cites this paper.

Lattice chiral symmetry from bosons in 3+1d Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 88

Resolution
verified exact
arxiv_id, observed 2026-05-11T00:10:50.187384Z

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=2026-05-10T18:41:27.428791Z digest=sha256:d3b1dd3d78aba4af1f89abbb863d1424357df1358eb4b65d5d42116c0a8a2f3a

Observation 36ac2bbc-c5d9-43fd-930c-8bf9bad24ba4 · inbound

Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations cites this paper.

Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-01T06:57:49.010685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T06:57:49.010685Z digest=sha256:67aba0c7adbad613d3329c35e7fb088d282791e064c2685eb0e42a2636452d78