Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-10T04:54:55.152892Z
Paper Citation Record · LEDGER
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs
As of 12 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2604.17775.
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 2026-08-11T06:34:44.6726+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 exact1
- verified fuzzy15
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 05c896a0-12a3-46c2-9204-79ca616932cf · outbound
This paper cites an unresolved cited work.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-05-22T01:25:53.126854Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 971f43b0-b57e-47bc-850c-4bd3300e02f7 · outbound
This paper cites an unresolved cited work.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-05-22T01:25:53.137198Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5ea33f15-90c8-48de-b434-7c80f8371218 · outbound
This paper cites Eckmann, Comment.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Eckmann, Comment
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.133392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 75fb3f06-3440-4f85-89d3-bc0be8bdf2fc · outbound
This paper cites Dodziuk and V.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Dodziuk and V
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.177097Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0b0730d9-bda4-48e1-9e7a-2723b5baf1ad · outbound
This paper cites Dodziuk, Amer.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Dodziuk, Amer
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.163238Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 466e5a56-8c70-47b3-a662-72bdc158e7f1 · outbound
This paper cites Friedman, Algorithmica21, 331 (1998).
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Friedman, Algorithmica21, 331 (1998)
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.130042Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 28d30101-2981-4a92-8713-1dfefaa5817f · outbound
This paper cites an unresolved cited work.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-05-22T01:25:53.197150Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 37301eb7-b0d4-4d0f-a981-c522f3f5ba1c · outbound
This paper cites Horak and J.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Horak and J
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.169878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1a0f261d-984a-405f-b57b-6719333d67b0 · outbound
This paper cites an unresolved cited work.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-05-22T01:25:53.190016Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4750f688-d1c6-469e-87f8-e4f594c0a9e4 · outbound
This paper cites Kozlov,Combinatorial Algebraic Topology, Algorithms and Computation in Mathematics, Vol.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Kozlov,Combinatorial Algebraic Topology, Algorithms and Computation in Mathematics, Vol
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.156798Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b6327d1b-2672-47ea-8357-2b5a43d54aa4 · outbound
This paper cites Lim, SIAM Rev.62, 685 (2020).
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Lim, SIAM Rev.62, 685 (2020)
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.160019Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fac53686-b836-44af-a6f2-1db0734c0c02 · outbound
This paper cites Jiang, L.-H.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Jiang, L.-H
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.148154Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 864d2d82-ec8f-4317-90b3-1a473c262b19 · outbound
This paper cites an unresolved cited work.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-05-22T01:25:53.180602Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7d57c602-4ac2-4fb9-aafa-d093a64ce22e · outbound
This paper cites Washburn and M.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Washburn and M
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.144689Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cc550533-284a-4f48-a51f-d8a458f98007 · outbound
This paper cites Coherent Comparison as Information Cost: A Cost-First Ledger Framework for Discrete Dynamics.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Coherent Comparison as Information Cost: A Cost-First Ledger Framework for Discrete Dynamics
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T11:10:09.746919Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b1f23ca6-c326-4c0c-ad1d-66dcab84ded2 · outbound
This paper cites Husimi, J.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Husimi, J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.183658Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 05ded03c-fa49-4e1e-9fcc-8c242edf0773 · outbound
This paper cites Harary and G.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Harary and G
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.140764Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7cfb20f2-9d19-4912-ba21-86ab973b8b92 · outbound
This paper cites Diestel,Graph Theory, 5th ed., Graduate Texts in Mathematics, Vol.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Diestel,Graph Theory, 5th ed., Graduate Texts in Mathematics, Vol
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.152647Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 02ad0f03-41a0-43c5-924a-a4afb7317c8e · outbound
This paper cites Nesterov and A.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Nesterov and A
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.186736Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f965054d-5bb4-469e-b2d9-55f2f88506a3 · outbound
This paper cites Nesterov,Lectures on Convex Optimization, 2nd ed., Springer Optimization and Its Applications, Vol.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Nesterov,Lectures on Convex Optimization, 2nd ed., Springer Optimization and Its Applications, Vol
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.166746Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bb0cc449-e005-4808-a3f7-ebc371053fa9 · outbound
This paper cites Boyd and L.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Boyd and L
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T01:25:53.193561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2e8bfb71-8374-40a3-b8b4-dd6bd8f10429 · outbound
This paper cites an unresolved cited work.
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-05-22T01:25:53.173086Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
No inbound Pith citation observations are available.