Paper Citation Record · LEDGER

Bulk Excitations of Invertible Phases

As of 17 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 2 inbound Pith citation observations for arXiv:2506.11288.

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

pith.paper-citation-record.v1
2506.11288 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:19:35.037898Z

measured 47 of 47 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:39:36.613187Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T21:40:40.985741Z

Reference resolution

45 of 45 outbound references displayed

verified exact5
verified fuzzy12
unresolved27
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0e0558a4-b519-464d-a278-e5790f8ff662 · outbound

This paper cites Chen, Z.-C.

Bulk Excitations of Invertible Phases Chen, Z.-C

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:30.003485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20d788e0-47a0-4dd6-9666-941a6381f91b · outbound

This paper cites an unresolved cited work.

Bulk Excitations of Invertible Phases Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:19:39.389714Z

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.

Observation 13700201-ddb8-43c8-ac24-bb995e2e99cc · outbound

This paper cites Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases.

Bulk Excitations of Invertible Phases Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:30.239371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8637e3aa-d585-48f1-8fb0-3ad147d4f5f9 · outbound

This paper cites Johnson-Freyd, On the classification of topological orders , Communications in Mathematical Physics 393(2), 989 (2022), doi:10.1007/s00220-022-04380-3.

Bulk Excitations of Invertible Phases Johnson-Freyd, On the classification of topological orders , Communications in Mathematical Physics 393(2), 989 (2022), doi:10.1007/s00220-022-04380-3

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:30.382048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4393c670-ead5-4197-928a-7d05a107a455 · outbound

This paper cites an unresolved cited work.

Bulk Excitations of Invertible Phases Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:30.549305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bc29a64-0b70-4dca-8793-2f3f1e99aa12 · outbound

This paper cites Bhardwaj, L.

Bulk Excitations of Invertible Phases Bhardwaj, L

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:30.729812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d192afd9-7eac-4b41-8a9f-1bea6699b213 · outbound

This paper cites Fusion of one-dimensional gapped phases and their domain walls.

Bulk Excitations of Invertible Phases Fusion of one-dimensional gapped phases and their domain walls

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:19:36.257690Z

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.

Observation 474e310a-e397-4494-9b43-e2d866602d57 · outbound

This paper cites Boundary-bulk relation for topological orders as the functor mapping higher categories to their centers.

Bulk Excitations of Invertible Phases Boundary-bulk relation for topological orders as the functor mapping higher categories to their centers

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:30.997965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db4137b5-aa82-42a8-b762-910522f45bd4 · outbound

This paper cites Ji and X.-G.

Bulk Excitations of Invertible Phases Ji and X.-G

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:31.100045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63aa8b5e-9130-4717-b78a-ee8715d6087e · outbound

This paper cites Lichtman, R.

Bulk Excitations of Invertible Phases Lichtman, R

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:31.173172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6ebcfcd-0e97-49f5-81c6-e0ae4e63b797 · outbound

This paper cites Symmetry as a shadow of topological order and a derivation of topological holographic principle.

Bulk Excitations of Invertible Phases Symmetry as a shadow of topological order and a derivation of topological holographic principle

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:31.254346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1b8ea35-9397-4c17-b236-ccedd1af2293 · outbound

This paper cites Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics.

Bulk Excitations of Invertible Phases Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:31.331389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c551e0b-af57-47cd-afaa-44869d5f82ab · outbound

This paper cites Topological symmetry in quantum field theory.

Bulk Excitations of Invertible Phases Topological symmetry in quantum field theory

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:31.418505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6273c2fe-fd66-456a-9442-bea0a6447720 · outbound

This paper cites an unresolved cited work.

Bulk Excitations of Invertible Phases Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:19:39.229565Z

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.

Observation 64f463ce-33c3-4514-be73-41ee3f345796 · outbound

This paper cites Kong and H.

Bulk Excitations of Invertible Phases Kong and H

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:19:39.105833Z

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.

Observation f5f1ee05-9cd0-435e-a6d2-47e3b8b86f7b · outbound

This paper cites Kong and H.

Bulk Excitations of Invertible Phases Kong and H

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:19:38.890753Z

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.

Observation a309f62d-4a7a-4d40-8eec-ae3173ac147d · outbound

This paper cites Kong, X.-G.

Bulk Excitations of Invertible Phases Kong, X.-G

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:19:38.651815Z

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.

Observation 87c0bccf-6095-4d72-93bc-79786bce41ec · outbound

This paper cites Kong and H.

Bulk Excitations of Invertible Phases Kong and H

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:19:38.388879Z

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.

Observation 05e5a858-6454-4019-9ae1-38647117574b · outbound

This paper cites Kong and H.

Bulk Excitations of Invertible Phases Kong and H

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:19:38.241765Z

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.

Observation d34310dc-ecc5-4a87-9eba-48765cc22549 · outbound

This paper cites Xu and Z.-H.

Bulk Excitations of Invertible Phases Xu and Z.-H

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:19:38.085804Z

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.

Observation e048ffe7-47c1-4004-9777-763567f745be · outbound

This paper cites Aasen, E.

Bulk Excitations of Invertible Phases Aasen, E

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:19:37.923540Z

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.

Observation a4e9dab7-c29e-4f5b-af21-b4a2fe969d11 · outbound

This paper cites Tantivasadakarn and X.

Bulk Excitations of Invertible Phases Tantivasadakarn and X

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:32.379685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5120401b-60c0-463c-9dc1-29475dc642ac · outbound

This paper cites Farrelly, A review of Quantum Cellular Automata , Quantum 4, 368 (2020), doi:10.22331/q-2020-11-30-368.

Bulk Excitations of Invertible Phases Farrelly, A review of Quantum Cellular Automata , Quantum 4, 368 (2020), doi:10.22331/q-2020-11-30-368

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:32.588620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81108730-6092-4eb3-95a6-edc41a3ce169 · outbound

This paper cites Chen, Z.-C.

Bulk Excitations of Invertible Phases Chen, Z.-C

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:32.671781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e12b513d-e885-47b0-9429-0dd1414c0070 · outbound

This paper cites an unresolved cited work.

Bulk Excitations of Invertible Phases Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:32.763294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4e7c8c7-c9c4-4de1-a295-5dd269c04ead · outbound

This paper cites Fidkowski, J.

Bulk Excitations of Invertible Phases Fidkowski, J

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:32.814442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 445ff6d4-7673-4f90-a134-73891c504d4b · outbound

This paper cites an unresolved cited work.

Bulk Excitations of Invertible Phases Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:32.893492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45ba286f-a236-4ba5-ba3b-7ddfea137665 · outbound

This paper cites an unresolved cited work.

Bulk Excitations of Invertible Phases Unresolved cited work

Reference 28

Resolution: malformed identifier; no resolver link, observed 2026-08-07T04:19:32.985185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a6f598a-1646-45ca-a5fa-bf3a518eeed2 · outbound

This paper cites Huang, X.

Bulk Excitations of Invertible Phases Huang, X

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:19:37.666078Z

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.

Observation 63c1f72d-dc21-449b-bc1b-5ba04ea775f0 · outbound

This paper cites an unresolved cited work.

Bulk Excitations of Invertible Phases Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:33.256033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47d80ebd-31ab-4600-8a88-aea9aa31978f · outbound

This paper cites Barkeshli, Y.-A.

Bulk Excitations of Invertible Phases Barkeshli, Y.-A

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:19:37.544022Z

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.

Observation 95bb8856-bcf0-45ce-be8a-5965f21ce350 · outbound

This paper cites String Condensations in 3+1D and Lagrangian Algebras.

Bulk Excitations of Invertible Phases String Condensations in 3+1D and Lagrangian Algebras

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:33.532469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6f570b0-58b3-4cb2-ba9a-def6661f5b69 · outbound

This paper cites an unresolved cited work.

Bulk Excitations of Invertible Phases Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:19:37.355908Z

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.

Observation 1f49d60d-91c0-4934-bb08-2dea28883a4d · outbound

This paper cites Wang and M.

Bulk Excitations of Invertible Phases Wang and M

Reference 34

Resolution: verified exact; doi, observed 2026-08-07T04:19:35.779933Z

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.

Observation 497536f3-9a93-4dfa-a84d-cc286870a18c · outbound

This paper cites Jiang, A.

Bulk Excitations of Invertible Phases Jiang, A

Reference 35

Resolution: verified exact; doi, observed 2026-08-07T04:19:35.634720Z

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.

Observation 0a22cf03-f3db-41f9-a2f4-5208d8d7827d · outbound

This paper cites Pumping Chirality in Three Dimensions.

Bulk Excitations of Invertible Phases Pumping Chirality in Three Dimensions

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:34.158858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79be7250-45bc-4814-9101-40c62af0f112 · outbound

This paper cites an unresolved cited work.

Bulk Excitations of Invertible Phases Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:19:37.204216Z

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.

Observation 01040b72-2050-4877-aef8-df03183a48ae · outbound

This paper cites an unresolved cited work.

Bulk Excitations of Invertible Phases Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:34.273658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1659aea-198e-40ce-b718-2cb4e7254f40 · outbound

This paper cites Senthil and M.

Bulk Excitations of Invertible Phases Senthil and M

Reference 39

Resolution: verified exact; doi, observed 2026-08-07T04:19:35.445979Z

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.

Observation d869f9af-c9f8-403a-b745-baece2014e8a · outbound

This paper cites Cimasoni and N.

Bulk Excitations of Invertible Phases Cimasoni and N

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:19:36.952269Z

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.

Observation 9ee7434d-695e-4946-a48c-f9fa46bbf314 · outbound

This paper cites Tarantino and L.

Bulk Excitations of Invertible Phases Tarantino and L

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:19:36.748731Z

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.

Observation 7e9184b6-66fd-466f-81b3-c442064f6283 · outbound

This paper cites an unresolved cited work.

Bulk Excitations of Invertible Phases Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:19:36.574075Z

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.

Observation dd1f77dc-ca78-40f0-9af7-45e00a9604cb · outbound

This paper cites Higher cup products on hypercubic lattices: application to lattice models of topological phases.

Bulk Excitations of Invertible Phases Higher cup products on hypercubic lattices: application to lattice models of topological phases

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:34.827885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e36bbc9-ba59-4e8f-afb0-97aa4cf7e183 · outbound

This paper cites an unresolved cited work.

Bulk Excitations of Invertible Phases Unresolved cited work

Reference 44

Resolution: verified exact; doi, observed 2026-08-07T04:19:35.283957Z

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.

Observation 4360415f-d290-4d71-bc58-8e945be2d1c5 · outbound

This paper cites Rao and I.

Bulk Excitations of Invertible Phases Rao and I

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:19:36.438634Z

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.

Pith citing papers

Observation 795ce8ab-8ca7-4f66-8e6f-3ee7fc460eed · inbound

Symmetric entanglers for non-invertible SPT phases cites this paper.

Symmetric entanglers for non-invertible SPT phases Bulk Excitations of Invertible Phases

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T16:39:36.613187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2230ef1b-3e05-453e-a247-4e6b44bdea51 · inbound

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle cites this paper.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Bulk Excitations of Invertible Phases

Reference 44

Resolution: verified exact; arxiv_id, observed 2026-05-21T21:40:40.988439Z

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.