Paper Citation Record · LEDGER

Detecting local topology with the spectral localizer

As of 17 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2506.14174.

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

pith.paper-citation-record.v1
2506.14174 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:29:47.462493Z

measured 31 of 31 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:46:29.613533Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T17:46:29.722760Z

Reference resolution

30 of 30 outbound references displayed

verified exact0
verified fuzzy18
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1ea1aad4-17a8-489d-a338-21d954d37f6e · outbound

This paper cites Aizenman, S.

Detecting local topology with the spectral localizer Aizenman, S

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:52.719884Z

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 21691b34-b748-4887-aeeb-44fde0d43904 · outbound

This paper cites Bellissard, A.

Detecting local topology with the spectral localizer Bellissard, A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:52.589073Z

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 5bd28412-e4cc-45cf-a1e9-4956d7387ee3 · outbound

This paper cites Bianci, R.

Detecting local topology with the spectral localizer Bianci, R

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:52.468182Z

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 e648a996-a61d-4556-86e3-56436b3922b0 · outbound

This paper cites Bratteli, D.

Detecting local topology with the spectral localizer Bratteli, D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:52.376740Z

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 3c083e76-ffc5-4054-9750-d8e95ef11e7f · outbound

This paper cites Cheng, A.

Detecting local topology with the spectral localizer Cheng, A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:52.246522Z

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 4cf3183d-1b0e-47b2-9fcf-5e8aee7c3add · outbound

This paper cites Cerjan, T.

Detecting local topology with the spectral localizer Cerjan, T

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:52.102190Z

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 f79a1e91-fa75-4827-b3ca-34c769fafde2 · outbound

This paper cites Cerjan, T.

Detecting local topology with the spectral localizer Cerjan, T

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:51.963656Z

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 f43c90f8-e12d-4942-9a90-591a75bb0584 · outbound

This paper cites an unresolved cited work.

Detecting local topology with the spectral localizer Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:51.793413Z

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 e41dc210-a1ad-443d-8d46-2153f7adf701 · outbound

This paper cites an unresolved cited work.

Detecting local topology with the spectral localizer Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:51.654646Z

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 3ed39b9c-3304-4841-97a2-38c37322c200 · outbound

This paper cites an unresolved cited work.

Detecting local topology with the spectral localizer Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:51.499831Z

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 7b7d2c68-cbfc-425a-9007-0105d22644a3 · outbound

This paper cites an unresolved cited work.

Detecting local topology with the spectral localizer Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:51.389324Z

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 3d64ae91-d37f-4b42-ab67-2cb239b9c6e3 · outbound

This paper cites Franca, A.

Detecting local topology with the spectral localizer Franca, A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:51.223606Z

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 5d6b738a-1a76-4161-9c2b-5faced028910 · outbound

This paper cites an unresolved cited work.

Detecting local topology with the spectral localizer Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:51.051959Z

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 c7b5d2b8-8bef-4586-b10c-662623281030 · outbound

This paper cites Germinet, F.

Detecting local topology with the spectral localizer Germinet, F

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:50.880583Z

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 bcf35c08-1ef8-4659-980c-c842aaa337f4 · outbound

This paper cites Parity Anomaly.

Detecting local topology with the spectral localizer Parity Anomaly

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:50.718992Z

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 b91fcdce-ae48-4a5c-b9b2-2e4f2c7b5f03 · outbound

This paper cites an unresolved cited work.

Detecting local topology with the spectral localizer Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:50.545504Z

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 28d4a3c7-aa2d-43cc-bfce-6c6a6f2e4f97 · outbound

This paper cites an unresolved cited work.

Detecting local topology with the spectral localizer Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:50.320508Z

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 34f0717e-d7ac-408b-8fba-c2ca75689791 · outbound

This paper cites Kato, Perturbation theory of linear operators , 2nd edition, (Springer, Berlin, 2012).

Detecting local topology with the spectral localizer Kato, Perturbation theory of linear operators , 2nd edition, (Springer, Berlin, 2012)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:50.074849Z

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 32624610-a9ee-47f8-b243-ccd8d31b6b67 · outbound

This paper cites Classification of Fragile Topology Enabled by Matrix Homotopy.

Detecting local topology with the spectral localizer Classification of Fragile Topology Enabled by Matrix Homotopy

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T00:29:46.198187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac010b2a-b91c-4884-bbea-75c261814673 · outbound

This paper cites an unresolved cited work.

Detecting local topology with the spectral localizer Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:49.878150Z

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 3346d6a1-a3d1-4b8a-af7d-a62181f7e908 · outbound

This paper cites Loring, H.

Detecting local topology with the spectral localizer Loring, H

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:49.652124Z

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 137fefaa-983e-4a74-aa4f-6a4d71671f6e · outbound

This paper cites Loring, H.

Detecting local topology with the spectral localizer Loring, H

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:49.441251Z

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 375d12d3-37fd-4b14-8b2a-5f9acf80bf75 · outbound

This paper cites Lozano Viesca, J.

Detecting local topology with the spectral localizer Lozano Viesca, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:49.264618Z

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 4b341fe5-5eaa-4b9e-9198-c2b5d98cb5e3 · outbound

This paper cites Ochkan, R.

Detecting local topology with the spectral localizer Ochkan, R

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:49.064741Z

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 2b00650c-5514-4cc9-9f9e-b5f6f3b57c55 · outbound

This paper cites Prodan, H.

Detecting local topology with the spectral localizer Prodan, H

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:48.840707Z

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 ef29d60d-f85d-47b4-baf1-28c701860f89 · outbound

This paper cites Schulz-Baldes, T.

Detecting local topology with the spectral localizer Schulz-Baldes, T

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:48.601871Z

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 ab18816d-ef8d-4ab8-b44d-52e6533051a6 · outbound

This paper cites Schulz-Baldes, T.

Detecting local topology with the spectral localizer Schulz-Baldes, T

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:48.366102Z

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 983aab81-4805-487b-990a-1c1628487831 · outbound

This paper cites an unresolved cited work.

Detecting local topology with the spectral localizer Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:48.201768Z

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 bbd2f26a-66d3-4f30-8a39-c565551d8ca8 · outbound

This paper cites an unresolved cited work.

Detecting local topology with the spectral localizer Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:47.992497Z

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 123ee603-0249-4bf3-b1f5-8b020fe11cf4 · outbound

This paper cites an unresolved cited work.

Detecting local topology with the spectral localizer Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:47.730765Z

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 4319f55f-4099-4aee-ab6b-9565d82fbbe4 · inbound

Spectral localizers in KK-theory cites this paper.

Spectral localizers in KK-theory Detecting local topology with the spectral localizer

Reference 1998

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:29.728538Z

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.