Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:50:59.094290Z
Paper Citation Record · LEDGER
Introducing a vertex polynomial invariant for embedded graphs
As of 8 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2506.07522.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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
Reference resolution
22 of 22 outbound references displayed
- verified exact0
- verified fuzzy15
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 366f6ada-344e-493b-bab0-d681f3ebeb85 · outbound
This paper cites Bollob´ as and O.
Introducing a vertex polynomial invariant for embedded graphs Bollob´ as and O
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.334437Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9253e7bd-480a-43c6-b812-ec916dcab3b0 · outbound
This paper cites Bouchet, Greedy algorithm and symmetric matroids,Math.
Introducing a vertex polynomial invariant for embedded graphs Bouchet, Greedy algorithm and symmetric matroids,Math
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.325137Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5e7bb2a4-e82f-41df-88a1-56b02f8e723e · outbound
This paper cites Brijdera and H.
Introducing a vertex polynomial invariant for embedded graphs Brijdera and H
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.315233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation af47d2a3-f851-4ca4-ad40-9e3708f25e17 · outbound
This paper cites Chmutov, Generalized duality for graphs on surfaces and the signed Bollob´ as- Riordan polynomial,J.
Introducing a vertex polynomial invariant for embedded graphs Chmutov, Generalized duality for graphs on surfaces and the signed Bollob´ as- Riordan polynomial,J
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.306121Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 51b45c6c-8b63-478a-bcc4-00c85f38a782 · outbound
This paper cites Chmutov and S.
Introducing a vertex polynomial invariant for embedded graphs Chmutov and S
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.297144Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b8fe74bc-9fc5-4e46-9e72-00386c00dcd8 · outbound
This paper cites Chmutov and F.
Introducing a vertex polynomial invariant for embedded graphs Chmutov and F
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.287171Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7e834ca1-4052-4bda-a9c3-a691918389ce · outbound
This paper cites an unresolved cited work.
Introducing a vertex polynomial invariant for embedded graphs Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:50:59.277537Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a1c41f83-4d92-4518-b1cb-dc226b0919ac · outbound
This paper cites an unresolved cited work.
Introducing a vertex polynomial invariant for embedded graphs Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:50:59.266716Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3bd21140-e79b-4a34-9f01-f4abdbf5cb85 · outbound
This paper cites an unresolved cited work.
Introducing a vertex polynomial invariant for embedded graphs Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:50:59.256723Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5222d547-1d89-417d-aed5-c8cdc9851f77 · outbound
This paper cites an unresolved cited work.
Introducing a vertex polynomial invariant for embedded graphs Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:50:59.247121Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bb09ea63-4255-4d25-8938-e9f1fb8b63b6 · outbound
This paper cites an unresolved cited work.
Introducing a vertex polynomial invariant for embedded graphs Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:50:59.235957Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5d8c0845-26fd-4abb-a4fe-5a20f82d62e8 · outbound
This paper cites an unresolved cited work.
Introducing a vertex polynomial invariant for embedded graphs Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:50:59.227345Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1577f887-e016-496e-8f26-20b699ad6026 · outbound
This paper cites an unresolved cited work.
Introducing a vertex polynomial invariant for embedded graphs Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:50:59.217130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a9008fe4-e24a-4b40-a2fa-79e1f4858653 · outbound
This paper cites Kodaneva and S.
Introducing a vertex polynomial invariant for embedded graphs Kodaneva and S
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.207628Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 92cb11ab-fd97-4635-97de-397e1fd02cf7 · outbound
This paper cites Krajewski, V.
Introducing a vertex polynomial invariant for embedded graphs Krajewski, V
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.198180Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5e33a190-8d1a-47bb-a3d3-ab0e741bfec0 · outbound
This paper cites Moffatt, Separability and the genus of a partial dual,European J.
Introducing a vertex polynomial invariant for embedded graphs Moffatt, Separability and the genus of a partial dual,European J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.187925Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 52495fa9-7086-4351-9c4f-6889a9cdd15a · outbound
This paper cites Wilson, Operators over regular maps,Pacific J.
Introducing a vertex polynomial invariant for embedded graphs Wilson, Operators over regular maps,Pacific J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.177454Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c4f2c1dd-55f1-41c6-8191-82802fe5c4de · outbound
This paper cites Yan and X.
Introducing a vertex polynomial invariant for embedded graphs Yan and X
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.165653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 24531642-4ff8-435d-81a0-54ca1d0177d6 · outbound
This paper cites Yan and X.
Introducing a vertex polynomial invariant for embedded graphs Yan and X
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.154953Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5bfda6f9-b556-46e9-9b3f-a7cc5b560e30 · outbound
This paper cites Yan and X.
Introducing a vertex polynomial invariant for embedded graphs Yan and X
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.145296Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 505f12a3-0cfe-4a19-97d1-f7ac7ffd4689 · outbound
This paper cites Yan and X.
Introducing a vertex polynomial invariant for embedded graphs Yan and X
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.135312Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 704a8759-5470-4066-8572-1e9166f336c1 · outbound
This paper cites Yuschak, Delta-matroids whose twist polynomials are monomials,European J.
Introducing a vertex polynomial invariant for embedded graphs Yuschak, Delta-matroids whose twist polynomials are monomials,European J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:50:59.123974Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
No inbound Pith citation observations are available.