Pith. sign in

Paper Citation Record · LEDGER

On the minimum degree required for a triangle decomposition

As of 15 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:1908.11076.

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

pith.paper-citation-record.v1
1908.11076 v2

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:30:55.448403Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

8 of 8 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 91a886b3-a605-485b-907b-e44c4c4880fc · outbound

This paper cites Barber, D.

On the minimum degree required for a triangle decomposition Barber, D

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T10:30:55.414271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:30:55.414271Z digest=sha256:72e262280291eafe83bfdf54ced3b35ab60f039fd3af864dc96fe84b957eb791

Observation c4a400e9-7bf6-4f70-875a-4cc1cc844d93 · outbound

This paper cites Progress towards Nash-Williams' Conjecture on Triangle Decompositions.

On the minimum degree required for a triangle decomposition Progress towards Nash-Williams' Conjecture on Triangle Decompositions

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:30:55.489057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:30:55.419496Z digest=sha256:46b8d4c8660c9bfddfd803910029c1755d1eb8ad5c22c4e12fd0ac0a279cc2ed

Observation 9dbdb2af-f34b-4a90-9608-afb5fe3588a1 · outbound

This paper cites Dross, Fractional Triangle Decompositions in Graphs with Larg e Minimum Degree, SIAM J.

On the minimum degree required for a triangle decomposition Dross, Fractional Triangle Decompositions in Graphs with Larg e Minimum Degree, SIAM J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:30:55.577404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:30:55.424505Z digest=sha256:343ff20d909fb27c8973a79f051ae4a8af023cb3c9ccc438ed5e0f38a573411a

Observation 7da43ceb-e56d-4320-ad13-de8a0e46d683 · outbound

This paper cites Garaschuk, Linear methods for rational triangle decomposit ions.

On the minimum degree required for a triangle decomposition Garaschuk, Linear methods for rational triangle decomposit ions

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:30:55.561486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:30:55.428901Z digest=sha256:44d80f6f77d125d76f544a6c734b3222b572457d7a919863fb8d4894e0987439

Observation c40714ef-6ec7-4149-ac18-d9d00ab020cf · outbound

This paper cites Gustavsson, Decompositions of large graphs and digraphs wit h high minimum degree, PhD thesis, Univ.

On the minimum degree required for a triangle decomposition Gustavsson, Decompositions of large graphs and digraphs wit h high minimum degree, PhD thesis, Univ

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:30:55.547500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:30:55.433290Z digest=sha256:a14e0df8e7e3ed17d5e394b426f7b576318d08afd4874126db5f5761494473bc

Observation 950e03ad-9296-447f-9ee8-6f3d548cbe44 · outbound

This paper cites Kirkman, On a problem in combinatorics, Cambridge Dublin Mathe matical Journal, 2 (1847), 191–204.

On the minimum degree required for a triangle decomposition Kirkman, On a problem in combinatorics, Cambridge Dublin Mathe matical Journal, 2 (1847), 191–204

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:30:55.533374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:30:55.439495Z digest=sha256:acb5d4aca2871873f93cd9a31dfe2b1b6eff3929437c0369ef3cf2976d7265b4

Observation 91d4067d-37ac-4ab9-8bdf-25d116449c2c · outbound

This paper cites Nash-Williams, An unsolved problem concerning decomposit ion of graphs into triangles, Combinatorial Theory and its Applications III, North Holla nd (1970), 1179–1182.

On the minimum degree required for a triangle decomposition Nash-Williams, An unsolved problem concerning decomposit ion of graphs into triangles, Combinatorial Theory and its Applications III, North Holla nd (1970), 1179–1182

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:30:55.518342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:30:55.443827Z digest=sha256:62cc0b9d58bf1cb80493301063489dd16502205d24042d84d2cbc89e41e9504d

Observation 0acdac2f-e4b4-4842-8621-d386d2a6633a · outbound

This paper cites Yuster, Asymptotically optimal Kk-packings of dense graphs via fractional Kk- decompositions.

On the minimum degree required for a triangle decomposition Yuster, Asymptotically optimal Kk-packings of dense graphs via fractional Kk- decompositions

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:30:55.504022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:30:55.448403Z digest=sha256:28ff34f0ec1ebbf08b5c09271c831bae946bfc29c6584879046608d629c11f55

Pith citing papers

No inbound Pith citation observations are available.