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Paper Citation Record · LEDGER

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$

As of 13 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2412.12462.

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

pith.paper-citation-record.v1
2412.12462 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:15:13.522198Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:03:01.455011Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T11:22:17.934359Z

Reference resolution

20 of 20 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 99a7e605-c505-4ed9-aa54-2d4465c2ff2d · outbound

This paper cites Appel and F.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Appel and F

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:13.837661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.440288Z digest=sha256:6013c59b126c4a3ebbfd1531b1d71632e4d3d64961f96dd89a7511810d25496c

Observation 8eb21d47-210c-4fb7-b889-48417ec56cc2 · outbound

This paper cites Appel, F.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Appel, F

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:13.825313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.445121Z digest=sha256:9479baeca55ec13254de48613d37edd78bd73848049f54fe4a16e82be07d2e11

Observation fe7844c9-68d1-4641-a42b-f4669e04efa3 · outbound

This paper cites Bauer and M.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Bauer and M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:13.813033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.449324Z digest=sha256:a59af297e4aaca4ad4a65e7f8f592d6b2bca216790e8cc5a794d8ecc7d535870

Observation 97fb9315-255d-4708-b93c-188bf47f375d · outbound

This paper cites Botnan and W.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Botnan and W

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:13.801126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.453509Z digest=sha256:e827bca814efcff351d26a62c99cb65ff5dd3bab7e14a3a50c86e2ef1edcf88c

Observation 033429f7-20bd-4784-8e75-3fb2f1db88b4 · outbound

This paper cites Botnan and M.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Botnan and M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:13.787785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.458682Z digest=sha256:5cc9f1322e764c0d17373974b7bb8c4a4617affd24ef0879bb6c91a33ab6d8e7

Observation dcd224aa-d634-4e69-af90-477bd0985734 · outbound

This paper cites an unresolved cited work.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:15:13.774059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.463658Z digest=sha256:6545ee6cde5796d7ce1ee64048bab8b0d12a3f98840fccdbecf2e4a74bc6fbf3

Observation e10e123c-c2a4-4e98-88b5-cdaa2fe7fa8d · outbound

This paper cites Bubenik and J.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Bubenik and J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:13.759434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.468628Z digest=sha256:42efeb4d050426265c141e3b61d7ea5706e55949e1ec731c1cd9fa45e1ef9d8b

Observation cce4c2ca-1ded-480c-81b9-d98e499b68aa · outbound

This paper cites Chazal, V.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Chazal, V

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:13.743810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.472534Z digest=sha256:d9c6eaed9db78ab43cc623b241eae0fb6572ca4e6de85c0adc0b2b03ecc95dc3

Observation dbec0918-3796-468e-95e5-d4b1e503ba29 · outbound

This paper cites Cohen-Steiner, H.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Cohen-Steiner, H

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:13.729458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.476915Z digest=sha256:51a5199fc6fb1bfe075bdafa686bb355bcd35904ce213957c1636c2a68a68c1b

Observation 21b3c00c-d2f2-4663-9617-ed71af89af13 · outbound

This paper cites Crawley-Boevey.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Crawley-Boevey

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:13.716775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.480513Z digest=sha256:c15176bcdc43f61671bf5d7b32a15189a8c2b3dc48ee3db6489f5fecea06f9e1

Observation 989c1f14-f294-4e79-a81e-555ee8420344 · outbound

This paper cites an unresolved cited work.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:15:13.704503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.484543Z digest=sha256:7cdec5e1b01b0641c9c30f19c89ece4b8f7261dcda7532663190668ca4b9923c

Observation 12505624-fc6b-402d-9f07-ba6615dcba4d · outbound

This paper cites Maximal Rigid Representations of Continuous Quivers of Type A with Automorphism.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Maximal Rigid Representations of Continuous Quivers of Type A with Automorphism

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:15:13.573632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.488671Z digest=sha256:280c228699103927c2001d5b4d192bbd7c8f2ce0bbc31a9d891a63803fb492c0

Observation 7e041cc9-516d-420a-9012-6856a329e299 · outbound

This paper cites an unresolved cited work.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:15:13.692811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.493579Z digest=sha256:da8d070aa87da992b7c6451c7aedc115cedf3f01078eae6ec7d27e0359a9c4cc

Observation cdf8358e-f7e9-4ce1-a1d7-00186d7c4dd9 · outbound

This paper cites Igusa, J.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Igusa, J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:13.681027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.497815Z digest=sha256:553c6a0518636d53035aa0ff27900375085e43a38e55137a2c28b7d213feaf45

Observation 04ebd64b-7ece-45a9-966f-7022653dd766 · outbound

This paper cites Igusa and G.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Igusa and G

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:13.667066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.501829Z digest=sha256:3d93b9597e341e291133f48278cfe243df6b32fd70c0315f029b968fcb8c7d1a

Observation b287ffb0-5ef6-4cc3-828a-a3b3a7dda504 · outbound

This paper cites an unresolved cited work.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:15:13.653664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.505716Z digest=sha256:c1002cc9f4c5f7460a2393ebab5d71f08a26d5e95b59b84087ad16913584b4e2

Observation 271f66da-bb06-4e2d-9ba6-f47dab1be17d · outbound

This paper cites an unresolved cited work.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:15:13.640115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.510137Z digest=sha256:4df66e06566383d63c07c9d35166542544cf24cf6ce781638c2adcb0078b55e2

Observation 2b39a153-4691-473f-ae53-541a240605a1 · outbound

This paper cites an unresolved cited work.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:15:13.625211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.514075Z digest=sha256:914b119c33a050a2003947887ae7d4977b684b35a591cb214cc41e785e73b18b

Observation 11eac964-cf5c-4ccf-aa04-7d9ff77df9b9 · outbound

This paper cites Sala and O.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Sala and O

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:13.608397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.518209Z digest=sha256:8a5313b3c8cd3977a4ee3e7d0ef0a4cda228661ef9f57fb82dc9f762a54b82d5

Observation b4415b77-57ac-4411-b21a-b741f1ffe6e2 · outbound

This paper cites Sala and O.

Isometry Theorem for Continuous Quiver of Type $\tilde{A}$ Sala and O

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:13.592967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T14:15:13.522198Z digest=sha256:2ddd3b8d9a6c8181c8800986285fcef25bbbfba68df53536bd0bf1f6c669b8d8

Pith citing papers

Observation 18b98016-70d0-449d-bf0c-fd3b0ba8c214 · inbound

Bipath Persistence as Zigzag Persistence cites this paper.

Bipath Persistence as Zigzag Persistence Isometry Theorem for Continuous Quiver of Type $\tilde{A}$

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-10T23:03:01.455011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:03:01.455011Z digest=sha256:18028ce6da9564b6483a8202f59df9713b271ddf736dea4bd3cc49e643048cc8

Observation e4e54492-0a8e-4ceb-989e-168f595b1b65 · inbound

An isometry theorem for persistent homology of circle-valued functions cites this paper.

An isometry theorem for persistent homology of circle-valued functions Isometry Theorem for Continuous Quiver of Type $\tilde{A}$

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:22:18.003948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T11:22:16.460088Z digest=sha256:0739d6566e6f33e90eb4888654be50635c52b1863779b272a074eaf9effe5ec0