Paper Citation Record · LEDGER

Topological Classification of Non-Normalizable Vector Fields

As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.25848.

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

pith.paper-citation-record.v1
2607.25848 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T01:27:56.883289Z

measured 42 of 42 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 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

42 of 42 outbound references displayed

verified exact0
verified fuzzy0
unresolved42
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d969af79-420d-47ef-b6bc-44aed6770ba8 · outbound

This paper cites Wen, Colloquium: Zoo of quantum-topological phases of matter, Rev.

Topological Classification of Non-Normalizable Vector Fields Wen, Colloquium: Zoo of quantum-topological phases of matter, Rev

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.679412Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a39b1840-0aac-4de5-b95f-16aaf04e64b7 · outbound

This paper cites Nakahara,Geometry, Topology and Physics, 2nd ed.

Topological Classification of Non-Normalizable Vector Fields Nakahara,Geometry, Topology and Physics, 2nd ed

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.685175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d99f8ca4-10c6-4cd2-8dba-6428c4981e51 · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.690058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77c06d53-3772-49e1-bf3b-1413b9eb4209 · outbound

This paper cites Bogdanov and A.

Topological Classification of Non-Normalizable Vector Fields Bogdanov and A

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.694927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 294dc794-4cde-4ccc-a744-4a3c81e4ff3e · outbound

This paper cites M¨ uhlbauer, B.

Topological Classification of Non-Normalizable Vector Fields M¨ uhlbauer, B

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.700368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8fb40af-12a8-40ec-b08d-e4edc0712465 · outbound

This paper cites Azhar, S.

Topological Classification of Non-Normalizable Vector Fields Azhar, S

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.705082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98947c26-9da7-4e5a-94d2-81795970d2c5 · outbound

This paper cites Koraltan, C.

Topological Classification of Non-Normalizable Vector Fields Koraltan, C

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.710524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab285862-cf36-4f90-bdd6-4d02c07a7f6b · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.715880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4db0a16-9b56-4660-bbe3-aae4f811e935 · outbound

This paper cites Fukuda and ˇZ.

Topological Classification of Non-Normalizable Vector Fields Fukuda and ˇZ

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.720044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb0e70f2-14c9-47f3-a6f3-dc360510f84d · outbound

This paper cites Jin-Sheng and I.

Topological Classification of Non-Normalizable Vector Fields Jin-Sheng and I

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.724664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b47fc49-5845-4a65-b388-efd72b071f11 · outbound

This paper cites Hall, J.-S.

Topological Classification of Non-Normalizable Vector Fields Hall, J.-S

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.730620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ba57b7b-7c8b-4f45-a4e9-4bcab6fb80b2 · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.735559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 575dffcd-8259-4a90-8407-2a5bafbc0afa · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.743080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87b87ac6-45f0-4cc0-9697-9172b7e95347 · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.747742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe86000c-808c-40ca-8141-d7ccb6cf955f · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.752205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18aa1cb1-8e80-43fe-89d0-7cca42b16a91 · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.757183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b08d8f81-b880-4ad6-b3fb-d49c7e0d345b · outbound

This paper cites Bailin and A.

Topological Classification of Non-Normalizable Vector Fields Bailin and A

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.762474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ec2cdfb-2da1-418e-baa9-ba29b7de2b1a · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.767841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d03ea1d-d10a-48c5-b23c-ae56481fab62 · outbound

This paper cites Delplace, J.

Topological Classification of Non-Normalizable Vector Fields Delplace, J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.772638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c539433c-ea03-411c-ab77-2a960e7ddeeb · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.778160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 366b0509-d25c-41e3-8c3b-63607eb0e6ad · outbound

This paper cites Tsesses, E.

Topological Classification of Non-Normalizable Vector Fields Tsesses, E

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.783175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation acdec609-2882-4ccd-8b75-a6650ebc16db · outbound

This paper cites Tsesses, P.

Topological Classification of Non-Normalizable Vector Fields Tsesses, P

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.787070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc596059-ccec-4866-893d-b3a3da52dbb1 · outbound

This paper cites Linking extended vector wave fields with momentum space topology.

Topological Classification of Non-Normalizable Vector Fields Linking extended vector wave fields with momentum space topology

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.791014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b2dd706-8aa3-45ba-af76-685fa676b8ef · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.795747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b03f3ab-8aa5-43fb-b02d-ec9c1f37a7df · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.799942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 842a0c28-42b0-414e-a4bb-2b86ff32c661 · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.804142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65a923ec-b463-463b-a36b-8ff49bbf5ddf · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.808573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 626e8a28-2496-4a12-ab0e-d4ef09ba2cfe · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.813118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ef7a621-b20b-478a-b721-69458bb8b80d · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.817994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d1aaba2-c315-4d52-8b87-786d29a89842 · outbound

This paper cites Da Col, S.

Topological Classification of Non-Normalizable Vector Fields Da Col, S

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.823801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 786e3320-aff0-49cb-ad0b-5350f4ba2482 · outbound

This paper cites Azhar, V.

Topological Classification of Non-Normalizable Vector Fields Azhar, V

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.828620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33a74e53-e82a-4ba1-a2cd-4de802d92f03 · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.834073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d000edfa-250e-4b7c-b4a3-78906a057611 · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.838717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 255e40c9-21cf-4c42-9b60-0947ece56112 · outbound

This paper cites Michel, Symmetry defects and broken symmetry.

Topological Classification of Non-Normalizable Vector Fields Michel, Symmetry defects and broken symmetry

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.843104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ebdeca3d-911c-48cd-b570-53b207b4285a · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.847558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb58d804-6302-431e-ac50-6e4cfd1befbf · outbound

This paper cites Catalan, J.

Topological Classification of Non-Normalizable Vector Fields Catalan, J

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.852367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0096213-b8cd-4d62-b64d-c926ea6f98bd · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.858986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96cd1388-e7b0-4d3a-be2a-0e74c79934a0 · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.864162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6d7fb6c-3030-4d36-b974-bdc49632eb2e · outbound

This paper cites Hubert and R.

Topological Classification of Non-Normalizable Vector Fields Hubert and R

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.870026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9b94238-c871-421b-91dc-80e8810f410c · outbound

This paper cites Shinjo, T.

Topological Classification of Non-Normalizable Vector Fields Shinjo, T

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.874301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ba4568e-c90e-4831-bb06-202b088358ad · outbound

This paper cites an unresolved cited work.

Topological Classification of Non-Normalizable Vector Fields Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.878540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74f85b38-97d4-4116-a914-8b85a286fd97 · outbound

This paper cites Dennis, K.

Topological Classification of Non-Normalizable Vector Fields Dennis, K

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:56.883289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.