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Paper Citation Record · LEDGER

On the edge-vertex ratio of maximal thrackles

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1908.08857.

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

pith.paper-citation-record.v1
1908.08857 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:41:34.047395Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

21 of 21 outbound references displayed

  • verified exact2
  • verified fuzzy14
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f44f81d4-52cb-4e84-b741-a09062fe7722 · outbound

This paper cites Discrete Mathe- matics 338(12), 2507–2513 (2015).

On the edge-vertex ratio of maximal thrackles Discrete Mathe- matics 338(12), 2507–2513 (2015)

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:41:34.722635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:33.849459Z digest=sha256:1f95119f4355dc08f210ed6f06849d4340910429cd5aed8258cf708835a25a30

Observation a14de11f-d0fa-4fc3-b1b5-671572fd80f6 · outbound

This paper cites Discrete & Computational Geometry 23(2), 191–206 (2000).

On the edge-vertex ratio of maximal thrackles Discrete & Computational Geometry 23(2), 191–206 (2000)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:41:34.696621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:33.859598Z digest=sha256:5f46499929adca21ed3732bd1ca1b1bce23d6cc6eb04f188a6ddd8b25317823a

Observation 120f8993-7e78-4d08-9c58-bc1f52c71586 · outbound

This paper cites Discrete & Computational Geometry 41(1), 119–134 (2009).

On the edge-vertex ratio of maximal thrackles Discrete & Computational Geometry 41(1), 119–134 (2009)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:41:34.664316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:33.870109Z digest=sha256:0b7a393300056a46830f81bcf349fc425baadddd1ad2e80ee38305de5bfe7f47

Observation be74b721-2e13-40a5-8885-3bcff9fc5a68 · outbound

This paper cites Graphs and Combinatorics 28(1), 85–96 (2012).

On the edge-vertex ratio of maximal thrackles Graphs and Combinatorics 28(1), 85–96 (2012)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:41:34.628496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:33.879939Z digest=sha256:700c14da76ede0c4a971ccef1d1317e3bf35f0693891b42f9c3804efada7b6a4

Observation 296b6326-2d53-472e-8d26-19d7235a5b02 · outbound

This paper cites an unresolved cited work.

On the edge-vertex ratio of maximal thrackles Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:41:34.594877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:33.886130Z digest=sha256:316b814e9f8cff37d8ef41ce4b45fd3bb9fd30034de42591d2c9484abdc324c1

Observation 223545fa-68f9-41d5-b5c0-dce91ba516c4 · outbound

This paper cites an unresolved cited work.

On the edge-vertex ratio of maximal thrackles Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:41:34.565149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:33.892271Z digest=sha256:038c8fb54d815112ac7f8ac4ae7fa101306564a3ffe6561f16a5257447d1e506

Observation b527f2ed-ac2d-467d-a1f3-e65b5246dd99 · outbound

This paper cites Computa- tional Geometry: Theory and Applications 44(6–7), 345–355 (2011).

On the edge-vertex ratio of maximal thrackles Computa- tional Geometry: Theory and Applications 44(6–7), 345–355 (2011)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:41:34.532524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:33.899895Z digest=sha256:baf1514b0638a4b1b1f24142746f4bc5de866f9d2fb612052bdda75d165eeb22

Observation f5cbe80f-2048-43a5-9df8-9b9d901343c5 · outbound

This paper cites Discrete Applied Mathematics 259, 226–231 (2019).

On the edge-vertex ratio of maximal thrackles Discrete Applied Mathematics 259, 226–231 (2019)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:41:34.501776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:33.908701Z digest=sha256:d8301c4cad00d0b645fc9bdd50c68af44a584e1e14ee1ecb754c57c34ec34f45

Observation 3dfd686d-fef2-46c6-b927-695d488fc750 · outbound

This paper cites Discrete & Computational Ge- ometry 58(2), 410–416 (2017).

On the edge-vertex ratio of maximal thrackles Discrete & Computational Ge- ometry 58(2), 410–416 (2017)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:41:34.474508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:33.917465Z digest=sha256:2fb43b039f5fc3df37a508c29aa794e839348745691d676f6c9e4b8914dcacad

Observation b1f1ddad-e716-43ef-a6a8-532684c5768d · outbound

This paper cites Journal of Graph Algorithms and Applications 22(1), 117–138 (2018).

On the edge-vertex ratio of maximal thrackles Journal of Graph Algorithms and Applications 22(1), 117–138 (2018)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:41:34.439762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:33.924356Z digest=sha256:bdedbb7a5d05f0e2b37beb99b8dc0266c12791a3be75b45ceb437a2e638110ca

Observation c1042446-b2ea-4395-827c-d7fafe49ee6a · outbound

This paper cites Discrete & Computational Geometry 50(3), 727–770 (2013).

On the edge-vertex ratio of maximal thrackles Discrete & Computational Geometry 50(3), 727–770 (2013)

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T11:41:33.931237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:41:33.931237Z digest=sha256:5568eec17c7653fcfa1cefe5dde2d9cf643a51fb9d4d5e456b69c4c14f0d95e9

Observation 5b76a4f5-1113-4edf-83c1-46c63bb00ef4 · outbound

This paper cites an unresolved cited work.

On the edge-vertex ratio of maximal thrackles Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-14T11:41:33.939984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:41:33.939984Z digest=sha256:4d0d159f4ee3b3a0916a60768acde6711f293eac7d2a58f1e7a3995cc76727ce

Observation b0dcc2e5-e8a2-44f6-9e07-07401305e085 · outbound

This paper cites Vertex 2(4), 1 (2006).

On the edge-vertex ratio of maximal thrackles Vertex 2(4), 1 (2006)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:41:34.411880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:33.953291Z digest=sha256:8ac9f7c98c91170ac9adca783189def9e0f23c4328733c206c9fe1a1859d47f8

Observation ee2c1aa2-8b68-484a-9968-3f8900eb46b1 · outbound

This paper cites Discrete & Computa- tional Geometry 18(4), 369–376 (1997).

On the edge-vertex ratio of maximal thrackles Discrete & Computa- tional Geometry 18(4), 369–376 (1997)

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:41:34.378525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:33.963599Z digest=sha256:63b530581ef35bd7de6ed2d56d46e19c9f303e62794077ce840c7020e5aca2b1

Observation 052751ab-f2b9-484d-a205-0632b7a520d9 · outbound

This paper cites Discrete Mathematics & Theo- retical Computer Science V ol.

On the edge-vertex ratio of maximal thrackles Discrete Mathematics & Theo- retical Computer Science V ol

Reference 15

Resolution
verified exact
doi, observed 2026-08-14T11:41:34.145225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:33.973642Z digest=sha256:2fb82c4a1e9bb4743035fd861e4a47eea0b3649c4a0e2d83b5bffd7c6ebc5dc2

Observation 3a4baff4-73f3-46d9-9041-7be8d05f8722 · outbound

This paper cites In: M´ arquez, A., Ramos, P., Urru- tia, J.

On the edge-vertex ratio of maximal thrackles In: M´ arquez, A., Ramos, P., Urru- tia, J

Reference 16

Resolution
verified exact
doi, observed 2026-08-14T11:41:34.117787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:33.990276Z digest=sha256:5008d080ded8983333fc89d91d88a655390c60900de14926ca335e25e9613cc3

Observation a8e53c75-a9b2-4bbb-b688-8f838f41c363 · outbound

This paper cites The American Mathe- matical Monthly 118(6), 544–548 (2011).

On the edge-vertex ratio of maximal thrackles The American Mathe- matical Monthly 118(6), 544–548 (2011)

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:41:34.351318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:34.002987Z digest=sha256:aacaf601ec998fb0b23e7924012ac726f7ab20349e2fc231258b284b265bc3b4

Observation c20c9473-010e-48e5-8c1a-270c9a880e69 · outbound

This paper cites an unresolved cited work.

On the edge-vertex ratio of maximal thrackles Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:41:34.311232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:34.011658Z digest=sha256:c2f7773bc38b75ec055e5ea916694a2b39e8e89ad19fd0892e1629af3a2ec568

Observation acbca528-eb3b-499f-81a8-ae642168e6c5 · outbound

This paper cites European Journal of Combinatorics 51, 398–406 (2016).

On the edge-vertex ratio of maximal thrackles European Journal of Combinatorics 51, 398–406 (2016)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:41:34.278362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:34.028477Z digest=sha256:a685eed3af98796519fb638111bbe6a9dd889d3fae4134c7e11a23a6ef54c45b

Observation 236b3511-ebba-4c88-af74-d3f1a0a2497f · outbound

This paper cites http://www.thrackle.org/thrackle.html (2013).

On the edge-vertex ratio of maximal thrackles http://www.thrackle.org/thrackle.html (2013)

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:41:34.243796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:34.038239Z digest=sha256:b68981d79129005a9b69d685f483f6f3f422294928b5b65777f0f141269ab726

Observation 000570da-3eab-4ade-8a3e-69b8d5eca55d · outbound

This paper cites Combinatorial Mathematics and its Applications pp.

On the edge-vertex ratio of maximal thrackles Combinatorial Mathematics and its Applications pp

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:41:34.217276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:41:34.047395Z digest=sha256:fc3dd0dd2e73e35339b36f08fab5c224c33d8e26b28bcd1bb964d9ead3aa7bab

Pith citing papers

No inbound Pith citation observations are available.