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Paper Citation Record · LEDGER

Tangle-tree duality: in graphs, matroids and beyond

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1701.02651.

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

pith.paper-citation-record.v1
1701.02651 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:22:49.485194Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-24T20:39:53.898670Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 9068a29d-2dec-4d09-9326-17306b5a2506 · inbound

Tangles in the social sciences cites this paper.

Tangles in the social sciences Tangle-tree duality: in graphs, matroids and beyond

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-24T20:39:53.902501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-24T20:36:40.802427Z digest=sha256:aceaad152e0d1b074b55e083c10dd276fe738295a131485e94a7a290203018bd

Observation f1bf4a8a-77cb-4878-a616-1ac967fa2969 · inbound

Optimal trees of tangles: refining the essential parts cites this paper.

Optimal trees of tangles: refining the essential parts Tangle-tree duality: in graphs, matroids and beyond

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-24T09:14:16.656179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-24T09:10:28.062831Z digest=sha256:958b4d45f2d892eeef15772032a0ba1dcb8d527661c6974d81890885f54ebea4

Observation a45dee95-0040-449f-8c80-383f62306ca8 · inbound

On vertex sets inducing tangles cites this paper.

On vertex sets inducing tangles Tangle-tree duality: in graphs, matroids and beyond

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-12T16:22:49.485194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:22:49.485194Z digest=sha256:21e3c6652304f9282afb77e5796a017aea8d919920d687c8b27b9c3e1dcc8733