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Paper Citation Record · LEDGER

On vertex sets inducing tangles

As of 13 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2411.13656.

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

pith.paper-citation-record.v1
2411.13656 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:22:49.514331Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

17 of 17 outbound references displayed

  • verified exact5
  • verified fuzzy4
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9a63ca60-36f0-499a-b6c1-00d955b51869 · outbound

This paper cites Birkhoff,Lattice theory, revised edition, Colloquium publications, American Mathematical Society, 1948.

On vertex sets inducing tangles Birkhoff,Lattice theory, revised edition, Colloquium publications, American Mathematical Society, 1948

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:22:49.781735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:22:49.457892Z digest=sha256:090814e6cecc1d4232827c888a0eed7c5e109f4a375bf3dcec87f221de82d7bb

Observation 958edc78-2b91-41b3-997f-8f5d5d46e06c · outbound

This paper cites Characterising 4-tangles through a connectivity property.

On vertex sets inducing tangles Characterising 4-tangles through a connectivity property

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-12T16:22:49.737814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:22:49.461631Z digest=sha256:696104c79cc5dd90a0a318b925643d4bb344a305b24826d687f4dd5771d6f1e1

Observation 11e4d0d2-d73b-4ef7-adec-caaef498979d · outbound

This paper cites Diestel,Graph Theory, 5th ed., Springer, 2017.

On vertex sets inducing tangles Diestel,Graph Theory, 5th ed., Springer, 2017

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-12T16:22:49.465743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:22:49.465743Z digest=sha256:2db6200444aafc69276b3c54b4c3384915c089e972718ccd382ef65fa44fd01d

Observation 00ccff7c-3436-49d1-b518-66542fb3c939 · outbound

This paper cites Abstract Separation Systems.

On vertex sets inducing tangles Abstract Separation Systems

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-12T16:22:49.469481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:22:49.469481Z digest=sha256:75b104f9b631ceb2d4895a202c069abeff79aee49f84cddb8d45b9ded443a935

Observation 4b473a43-b12d-4945-ae67-7975544a9574 · outbound

This paper cites Tree sets.

On vertex sets inducing tangles Tree sets

Reference 5

Resolution
metadata mismatch
local_arxiv, observed 2026-08-12T16:22:49.717648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:22:49.473277Z digest=sha256:188845ef8fdc020e6ebf7879f05aa87ed7a39679313f8c7a6f13ff6efae77d77

Observation e33cb722-f6c0-4df6-9c10-a0a186268326 · outbound

This paper cites Point sets and functions inducing tangles of set separations.

On vertex sets inducing tangles Point sets and functions inducing tangles of set separations

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-12T16:22:49.477098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:22:49.477098Z digest=sha256:ffe2b1d9312a5aa39d16631e20dea657ec5097c3a8bf04596ba1a0a01362449e

Observation 383fc80e-c2da-451b-8732-085523c840b3 · outbound

This paper cites Profiles of separations: in graphs, matroids and beyond.

On vertex sets inducing tangles Profiles of separations: in graphs, matroids and beyond

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-12T16:22:49.481133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:22:49.481133Z digest=sha256:56fcace3946133809de2dafc5294abf4eb4321c59e232aa4476d3c44c8b5db92

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

This paper cites Tangle-tree duality: in graphs, matroids and beyond.

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=sha256:5f90ace5759f741c29e55f40eca5589f4bb7ad36b71e54236275832da00811f3

Observation 38bcf052-71e5-4f1c-b813-f9ce82fb68c3 · outbound

This paper cites Elbracht,Tangles determined by majority vote, Master’s Thesis, 2015.

On vertex sets inducing tangles Elbracht,Tangles determined by majority vote, Master’s Thesis, 2015

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:22:49.765332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:22:49.489427Z digest=sha256:ee61a1b9fa2641d1239c87b62a05b4cf74e1bd66d96c3c52b831cad1a3969f05

Observation da04bdb9-7643-42aa-ae95-939825980ebd · outbound

This paper cites Tangles are Decided by Weighted Vertex Sets.

On vertex sets inducing tangles Tangles are Decided by Weighted Vertex Sets

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-12T16:22:49.492368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:22:49.492368Z digest=sha256:df60e3234638ad99850656dcf443fdd78c0594a7c55876bdff9b64fc79530084

Observation 36db4cbf-443a-4826-a708-6bd4f94033bc · outbound

This paper cites Trees of tangles in abstract separation systems.

On vertex sets inducing tangles Trees of tangles in abstract separation systems

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-12T16:22:49.671882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:22:49.495620Z digest=sha256:9142876e774345be57cc47594b83b28c6b973383bf0fa731320c50b62990a621

Observation e1c63d5c-cd30-49f2-84c2-05a9dc5db1a0 · outbound

This paper cites Trees of tangles in infinite separation systems.

On vertex sets inducing tangles Trees of tangles in infinite separation systems

Reference 12

Resolution
metadata mismatch
local_arxiv, observed 2026-08-12T16:22:49.656036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:22:49.498814Z digest=sha256:02f190c1b46e83ea2f22a377642ad29dfb93c5fa9d5cb30146504088e6350503

Observation 30afd3ba-81ba-4f7e-a0ee-5e8c1ee6283d · outbound

This paper cites Tangles and Connectivity in Graphs.

On vertex sets inducing tangles Tangles and Connectivity in Graphs

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-12T16:22:49.567145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:22:49.502413Z digest=sha256:34848d74983f08d1a30229734a6bc4a81d36c074e3996576cf94bc6ceccbb9b9

Observation 4117d8d8-b56f-4489-bf74-be8d21a42219 · outbound

This paper cites Isomorphism Testing for Graphs of Bounded Rank Width.

On vertex sets inducing tangles Isomorphism Testing for Graphs of Bounded Rank Width

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-12T16:22:49.553854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:22:49.505573Z digest=sha256:a0b47e6dd35c384defb48bf02ae3fe083ed471dfb53f03227c7e3b90895932db

Observation 3daed016-1f6f-4d3f-a008-140c99b0922f · outbound

This paper cites K_6 minors in 6-connected graphs of bounded tree-width.

On vertex sets inducing tangles K_6 minors in 6-connected graphs of bounded tree-width

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-12T16:22:49.540634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:22:49.508650Z digest=sha256:8722231c56fbd2edff3d10af9b347dbd7ec0cb865429e5ccc56a607986255449

Observation 6a889625-7640-4b75-8dde-043d60de4eb1 · outbound

This paper cites Robertson and P.

On vertex sets inducing tangles Robertson and P

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:22:49.755656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:22:49.511538Z digest=sha256:4082ee3b73d7009dcd891344fb149c36704ba08b46b2eeea095569f764c05a65

Observation b2dc44da-d3ed-446c-b6cf-f8338c0b649b · outbound

This paper cites La Sapienza.

On vertex sets inducing tangles La Sapienza

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:22:49.746981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:22:49.514331Z digest=sha256:7e4ced458e2a3ba48956b1a3c00eb175b9dcb994214183b1e14ff4cb35b781cc

Pith citing papers

No inbound Pith citation observations are available.