Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T18:34:25.565737Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2509.09992.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T18:34:25.565737Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
31 of 31 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation de065a58-e55b-4cd4-a3c9-24eb3e1f0ed9 · outbound
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cdbbbcbb-d1fd-4eba-b0ba-826eb001e542 · outbound
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52d40d25-2f38-49cb-a767-8eb6b10a11a6 · outbound
Hopf formulae for cocommutative Hopf algebras Ardizzoni, C
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca4a9d44-d363-450d-9898-7ce0bcf020d3 · outbound
Hopf formulae for cocommutative Hopf algebras Borceux, M.M
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52147045-5f0e-4060-ac5c-ad472c6935ed · outbound
Hopf formulae for cocommutative Hopf algebras Bourn,3×3-Lemma and Protomodularity
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d0d60648-560c-4490-b5a1-7aa67f353c2a · outbound
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9ebf1dcd-caee-48a0-a53e-4751b49d7c35 · outbound
Hopf formulae for cocommutative Hopf algebras Duckerts-Antoine,Fundamental group functors in descent-exact homological categories
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 001c0ceb-9186-4f27-ace3-7b4a05495b94 · outbound
Hopf formulae for cocommutative Hopf algebras A classification theorem for normal extensions
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fdb8d42c-ae13-4e30-a289-2edb45615641 · outbound
Hopf formulae for cocommutative Hopf algebras Everaert, M
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8bdfb62d-3eb4-4f8f-a134-1a5793e85add · outbound
Hopf formulae for cocommutative Hopf algebras Everaert, M
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2b787584-cb6c-4ec0-a4da-d0f102f92df6 · outbound
Hopf formulae for cocommutative Hopf algebras Everaert, M
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e5e6f74-5bfb-475a-b4a6-e361d4f77f71 · outbound
Hopf formulae for cocommutative Hopf algebras Everaert, M
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1d7e7d1-38e8-428a-af96-5b0bee0ce9d0 · outbound
Hopf formulae for cocommutative Hopf algebras Everaert, T
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 158e6de8-5357-4ff1-95c9-c2d247f0e0a7 · outbound
Hopf formulae for cocommutative Hopf algebras Galois Theory, Hopf Algebras and Semiabelian Categories
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1455b7bf-2428-4a78-b550-97c2624ed796 · outbound
Hopf formulae for cocommutative Hopf algebras Hopf braces and semi-abelian categories
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e57a8408-a02e-495e-8a63-0ba42c688c72 · outbound
Hopf formulae for cocommutative Hopf algebras Unresolved cited work
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fd411139-1f2d-4247-863f-08e4782b7e5f · outbound
Hopf formulae for cocommutative Hopf algebras Huq,Commutator, nilpotency, and solvability in categories
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bfefcf5f-ddab-4106-8703-3e84177b25bb · outbound
Hopf formulae for cocommutative Hopf algebras Janelidze,Pure Galois theory in categories
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 91ad6fd5-ba71-44fb-ae6c-cc118de580a4 · outbound
Hopf formulae for cocommutative Hopf algebras Janelidze,Galois Groups, Abstract Commutators, and Hopf Formula
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cb9289e7-73c9-4425-9d95-b3fd450f309f · outbound
Hopf formulae for cocommutative Hopf algebras Janelidze, G.M
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f5494b5-0d0c-4e0a-ab29-8679e6df7d5e · outbound
Hopf formulae for cocommutative Hopf algebras Janelidze, G.M
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1cb28c76-3caf-4e9f-9a26-1010552c3ce6 · outbound
Hopf formulae for cocommutative Hopf algebras Janelidze, L
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1b613594-c312-4c5e-9154-3761d80f746f · outbound
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8c9219d-e0bc-4cd6-9bf7-7d3a3e9053c6 · outbound
Hopf formulae for cocommutative Hopf algebras Manin,Quantum Groups and Noncommutative Geometry
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16481870-b0a2-4742-8da8-46a299af6f7f · outbound
Hopf formulae for cocommutative Hopf algebras Montgomery,Hopf Algebras and Their Actions on Rings
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2054a149-a4a8-4ce5-b7bf-e0c13779a472 · outbound
Hopf formulae for cocommutative Hopf algebras Newman,A correspondence between bi-ideals and sub-Hopf algebras in cocommutative Hopf algebras
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b6f9a547-8ca8-4e91-8567-57c0d587f0a2 · outbound
Hopf formulae for cocommutative Hopf algebras Porst.The formal theory of Hopf algebras
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eb2a0fa1-4d72-4c61-bfb0-fc4b719f57c3 · outbound
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6c532f97-a772-487e-9c7d-1dc499238e66 · outbound
Hopf formulae for cocommutative Hopf algebras Stallings,Homology and central series of groups
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 24bf2791-3457-4757-a27e-9a7e972f09db · outbound
Hopf formulae for cocommutative Hopf algebras Sweedler,Hopf Algebras
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 561015db-2b27-472e-98e2-2b0b8961def9 · outbound
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.