Paper Citation Record · LEDGER

Weak in the boundary: How weak SPT phases spoil anomaly matching

As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2507.17179.

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

pith.paper-citation-record.v1
2507.17179 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:08:17.626783Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

verified exact0
verified fuzzy16
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a86bcc07-490f-42e8-83f3-edb774d5fe5c · outbound

This paper cites Kane and E.

Weak in the boundary: How weak SPT phases spoil anomaly matching Kane and E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:22.013438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f7355211-53f8-4af6-a2a4-61f59e58390f · outbound

This paper cites Fu and C.

Weak in the boundary: How weak SPT phases spoil anomaly matching Fu and C

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T15:08:14.746675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc9d4e5c-995c-4f1d-a242-501d81b4c11e · outbound

This paper cites Ringel, Y.

Weak in the boundary: How weak SPT phases spoil anomaly matching Ringel, Y

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:21.784711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cc093565-fb40-4f96-adfd-bfb95ddedcfa · outbound

This paper cites Thorngren and D.

Weak in the boundary: How weak SPT phases spoil anomaly matching Thorngren and D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:21.527928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e0b85b61-f42a-45ea-b11a-4d53d4dbca5a · outbound

This paper cites Gomi and G.

Weak in the boundary: How weak SPT phases spoil anomaly matching Gomi and G

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:21.261378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 68e0e3f4-2437-41bf-aed3-afe087e77c8e · outbound

This paper cites Prodan and H.

Weak in the boundary: How weak SPT phases spoil anomaly matching Prodan and H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:21.052095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1dab04c6-5436-4b9e-a982-19eec184aafa · outbound

This paper cites an unresolved cited work.

Weak in the boundary: How weak SPT phases spoil anomaly matching Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:08:20.764057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 49db0d9b-939b-4cee-84d6-c6dcacae9dd6 · outbound

This paper cites Witten, Fermion path integrals and topological phases, Reviews of Modern Physics 88, 035001 (2016).

Weak in the boundary: How weak SPT phases spoil anomaly matching Witten, Fermion path integrals and topological phases, Reviews of Modern Physics 88, 035001 (2016)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:20.555542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e0eaf3bb-bdfe-428c-a83e-8b87c33afae7 · outbound

This paper cites an unresolved cited work.

Weak in the boundary: How weak SPT phases spoil anomaly matching Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:08:20.313620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 90fbadd7-5b97-4e5f-83dd-ef0aa037d882 · outbound

This paper cites Kapustin and R.

Weak in the boundary: How weak SPT phases spoil anomaly matching Kapustin and R

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:20.139505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e0fefb47-29fa-4f73-8c10-5644ae6e42da · outbound

This paper cites Cheng, M.

Weak in the boundary: How weak SPT phases spoil anomaly matching Cheng, M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:19.987810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5ca08899-aa89-442f-89dd-7f0aee4143ab · outbound

This paper cites an unresolved cited work.

Weak in the boundary: How weak SPT phases spoil anomaly matching Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:08:19.843037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c892edde-1998-4483-9a4f-34164fdc7ebe · outbound

This paper cites an unresolved cited work.

Weak in the boundary: How weak SPT phases spoil anomaly matching Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:08:19.678660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0b6a6a63-5133-45d3-9b2b-8dc906cf54bc · outbound

This paper cites Gomi and G.

Weak in the boundary: How weak SPT phases spoil anomaly matching Gomi and G

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:19.531616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 98b3a311-6f7b-4f91-a3d0-5f10fbdc8e39 · outbound

This paper cites McGreevy, Generalized symmetries in condensed mat- ter, Annual Review of Condensed Matter Physics 14, 57 (2023).

Weak in the boundary: How weak SPT phases spoil anomaly matching McGreevy, Generalized symmetries in condensed mat- ter, Annual Review of Condensed Matter Physics 14, 57 (2023)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:19.345181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 41001883-7586-45cb-9ac0-8d49776109ec · outbound

This paper cites Kitaev, Homotopy-theoretic approach to spt phases in action: Z16 classification of three-dimensional supercon- ductors, in Symmetry and Topology in Quantum Matter Workshop (2015).

Weak in the boundary: How weak SPT phases spoil anomaly matching Kitaev, Homotopy-theoretic approach to spt phases in action: Z16 classification of three-dimensional supercon- ductors, in Symmetry and Topology in Quantum Matter Workshop (2015)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:19.185466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7139d974-d5b8-48ac-b4e0-4aa2f00347e7 · outbound

This paper cites an unresolved cited work.

Weak in the boundary: How weak SPT phases spoil anomaly matching Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:08:19.038687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation be79a0ee-4cdb-42d0-b27c-5124d42025a9 · outbound

This paper cites Gaiotto and T.

Weak in the boundary: How weak SPT phases spoil anomaly matching Gaiotto and T

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:18.819080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6cf4b4c8-9f3e-465b-a3f0-1dd0187c603c · outbound

This paper cites Generalized homology and Atiyah-Hirzebruch spectral sequence in crystalline symmetry protected topological phenomena.

Weak in the boundary: How weak SPT phases spoil anomaly matching Generalized homology and Atiyah-Hirzebruch spectral sequence in crystalline symmetry protected topological phenomena

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T15:08:17.062149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0d1d158-7dff-4fe9-af0f-a4cf5e68ac37 · outbound

This paper cites Weak topological phases in the presence of interactions.

Weak in the boundary: How weak SPT phases spoil anomaly matching Weak topological phases in the presence of interactions

Reference 20

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T15:08:17.852144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b3ec8e9c-7a98-4732-ab3b-c48bb8890aad · outbound

This paper cites Hatcher, Algebraic Topology (Cambridge University Press, Cambridge, 2002).

Weak in the boundary: How weak SPT phases spoil anomaly matching Hatcher, Algebraic Topology (Cambridge University Press, Cambridge, 2002)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:18.620015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3c6601cc-260b-409b-bbd7-2a2b6d827b9e · outbound

This paper cites Sheinbaum and O.

Weak in the boundary: How weak SPT phases spoil anomaly matching Sheinbaum and O

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:18.392700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2d489477-a079-4967-b3ca-a66e08507963 · outbound

This paper cites Wang, X.-G.

Weak in the boundary: How weak SPT phases spoil anomaly matching Wang, X.-G

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:18.207644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e1b3f6f3-922d-4acc-8401-7a1a9c45b3ad · outbound

This paper cites Prakash, J.

Weak in the boundary: How weak SPT phases spoil anomaly matching Prakash, J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:08:18.018186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.