Paper Citation Record · LEDGER

Categorical Hopf map

As of 18 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2606.12482.

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

pith.paper-citation-record.v1
2606.12482 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T07:56:14.114933Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

43 of 43 outbound references displayed

verified exact1
verified fuzzy0
unresolved42
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ca343932-57f1-4cb3-9239-bc5b9af75750 · outbound

This paper cites Forum Mathematicum , VOLUME =.

Categorical Hopf map Forum Mathematicum , VOLUME =

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 245e6d7f-090a-4415-a603-e9ee2b46b48e · outbound

This paper cites Orbifolds in mathematics and physics , SERIES =.

Categorical Hopf map Orbifolds in mathematics and physics , SERIES =

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d84edffb-cf03-46a0-8283-51630b5f5216 · outbound

This paper cites SIGMA Symmetry Integrability Geom.

Categorical Hopf map SIGMA Symmetry Integrability Geom

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8124290c-5b6a-48a3-a83b-90be427b8166 · outbound

This paper cites and Lauda, Aaron D.

Categorical Hopf map and Lauda, Aaron D

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5655178-d955-43c3-bea1-ee1a8d0ceec5 · outbound

This paper cites , TITLE =.

Categorical Hopf map , TITLE =

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c600f173-2371-49ca-9fe3-c4f815948bab · outbound

This paper cites 1993 , PAGES =.

Categorical Hopf map 1993 , PAGES =

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c619a18-14cd-4bb5-938e-6570d9540e76 · outbound

This paper cites 2007 , school=.

Categorical Hopf map 2007 , school=

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77dd517d-8fc7-4cbb-b871-e609bdd76d3e · outbound

This paper cites 2006 , PAGES =.

Categorical Hopf map 2006 , PAGES =

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a12f96b-391b-4fe8-8363-a644187683a3 · outbound

This paper cites , TITLE =.

Categorical Hopf map , TITLE =

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42c68239-4d8f-4e5f-b981-e9e5853955b0 · outbound

This paper cites , TITLE =.

Categorical Hopf map , TITLE =

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70a8c280-d295-48f1-ae46-c03023a5a684 · outbound

This paper cites 1986 , PAGES =.

Categorical Hopf map 1986 , PAGES =

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 375054b1-fe75-4911-b799-c9089833c23a · outbound

This paper cites Forum Math.

Categorical Hopf map Forum Math

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70a297b7-3b37-44a6-b5b0-6f3d0ea0f0fb · outbound

This paper cites , TITLE =.

Categorical Hopf map , TITLE =

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation beae07ae-3bed-41d8-8785-3d183ace1300 · outbound

This paper cites an unresolved cited work.

Categorical Hopf map Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00c2a1e9-ae16-49bb-a47d-2971273518e8 · outbound

This paper cites , TITLE =.

Categorical Hopf map , TITLE =

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e8116a9-c3e4-4d29-8aef-93f35ddad86d · outbound

This paper cites , TITLE =.

Categorical Hopf map , TITLE =

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3f74f1c-1270-4698-b601-6bcb11e846b8 · outbound

This paper cites 1964 , PAGES =.

Categorical Hopf map 1964 , PAGES =

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e4bd564-a6bb-4c41-a46b-c48bed4f1ed7 · outbound

This paper cites an unresolved cited work.

Categorical Hopf map Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d09b62cf-e23c-4e33-a569-c52814ad508e · outbound

This paper cites Mathematische Annalen , VOLUME =.

Categorical Hopf map Mathematische Annalen , VOLUME =

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b03b65e8-1431-4bfd-b3bf-6a41464a2d41 · outbound

This paper cites and Stevenson, Danny , TITLE =.

Categorical Hopf map and Stevenson, Danny , TITLE =

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80b8216c-684e-47e6-87ae-cf66cf06757a · outbound

This paper cites Pacific Journal of Mathematics , VOLUME =.

Categorical Hopf map Pacific Journal of Mathematics , VOLUME =

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 136866b7-ab9e-4777-9476-c3fd955b6da6 · outbound

This paper cites , TITLE =.

Categorical Hopf map , TITLE =

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c46d675c-2005-4d98-8716-95e2cbc14831 · outbound

This paper cites , TITLE =.

Categorical Hopf map , TITLE =

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58f3a1b7-c54d-4652-be99-fae1841c33cc · outbound

This paper cites 1965 , PAGES =.

Categorical Hopf map 1965 , PAGES =

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22748417-55b1-43ef-aab4-710b9e90680e · outbound

This paper cites an unresolved cited work.

Categorical Hopf map Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 835503d9-31a5-4644-abef-efb0055ed35e · outbound

This paper cites Murray,Bundle gerbes,Journal of the London Mathematical Society54(1996) 403 [https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/jlms/54.2.403].

Categorical Hopf map Murray,Bundle gerbes,Journal of the London Mathematical Society54(1996) 403 [https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/jlms/54.2.403]

Reference 26

Resolution: verified exact; doi, observed 2026-06-28T07:41:46.092013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c8b302d8-6bc6-44c5-b648-da65098a9abe · outbound

This paper cites and Schreiber, Urs , TITLE =.

Categorical Hopf map and Schreiber, Urs , TITLE =

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14061d7e-213b-463a-a6d1-1854fe641224 · outbound

This paper cites 2002 , PAGES =.

Categorical Hopf map 2002 , PAGES =

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27be0fcd-9f15-4de7-9f73-aa5d9853feeb · outbound

This paper cites an unresolved cited work.

Categorical Hopf map Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7008b65e-5471-41c3-8c8f-07cd5fadea05 · outbound

This paper cites Differential Geom.

Categorical Hopf map Differential Geom

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f06c3ce-f63c-46d3-8d0f-138a5c5d82f7 · outbound

This paper cites and Johnson, Stuart and Murray, Michael K.

Categorical Hopf map and Johnson, Stuart and Murray, Michael K

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9adb103-99ff-4c95-8c56-a1a1eca2772b · outbound

This paper cites Analysis, geometry and quantum field theory , SERIES =.

Categorical Hopf map Analysis, geometry and quantum field theory , SERIES =

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0670bf4-bbb2-49cb-88d7-5b12d950ad0c · outbound

This paper cites Theory Appl.

Categorical Hopf map Theory Appl

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c85fda76-baa8-4c40-abf3-e242ac1cced3 · outbound

This paper cites an unresolved cited work.

Categorical Hopf map Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79c0ebaf-00c9-4054-b6d3-0fdc0bced2e6 · outbound

This paper cites and Stevenson, Danny and Crans, Alissa S.

Categorical Hopf map and Stevenson, Danny and Crans, Alissa S

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dab17f00-43f0-441b-b70e-a26e8d039dfe · outbound

This paper cites Theory Appl.

Categorical Hopf map Theory Appl

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9d52d9f-636e-4f7f-af0d-e20ff8bb5b94 · outbound

This paper cites Colloque de topologie (espaces fibr\'es),.

Categorical Hopf map Colloque de topologie (espaces fibr\'es),

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad11ba88-a874-41e4-8e48-c7c8f663299e · outbound

This paper cites Colloque.

Categorical Hopf map Colloque

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65180397-5d5b-4ee0-ae8f-b213cb244c2b · outbound

This paper cites 1963 , PAGES =.

Categorical Hopf map 1963 , PAGES =

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c2bc242-5fb4-4787-b148-44b4a136eaac · outbound

This paper cites an unresolved cited work.

Categorical Hopf map Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6b5f983-63be-4a74-ba8e-70eff6af84a0 · outbound

This paper cites , TITLE =.

Categorical Hopf map , TITLE =

Reference 41

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e84b3c6-0d13-490a-b989-ec57f05148f2 · outbound

This paper cites and Schreiber, Urs , TITLE =.

Categorical Hopf map and Schreiber, Urs , TITLE =

Reference 42

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 263eec5e-696f-48e9-84fc-7fa1ca5226ef · outbound

This paper cites , TITLE =.

Categorical Hopf map , TITLE =

Reference 43

Resolution: unresolved; no resolver link, observed 2026-06-27T07:56:14.114933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.