Pith. sign in

Paper Citation Record · LEDGER

Triangles in graphs without the expansion of $4$-cycle

As of 23 July 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2605.17430.

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

pith.paper-citation-record.v1
2605.17430 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T22:56:44.133687Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-23T06:31:01.910684+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

11 of 11 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1f87cae9-62c5-48d1-95a3-339d6af43131 · outbound

This paper cites Alon and C.

Triangles in graphs without the expansion of $4$-cycle Alon and C

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T22:57:50.413222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

source=pdf_text observed=2026-05-19T22:56:44.133687Z digest=sha256:e8dfdc0f7fa0b9667b4b50bbcf0383edc4703b33283d563e6aecd7bb606f6b7d

Observation b860d0b8-a7dd-48c8-b9fe-aac15b04ebc8 · outbound

This paper cites an unresolved cited work.

Triangles in graphs without the expansion of $4$-cycle Unresolved cited work

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T22:57:50.420682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

source=pdf_text observed=2026-05-19T22:56:44.133687Z digest=sha256:02b16ace4d9891a7a62e5b07c12391596447ecf4dbc32088a07d9f4d8c99205e

Observation bee15f8a-70d5-461b-9ae2-5e8442ffaec1 · outbound

This paper cites Gerbner and B.

Triangles in graphs without the expansion of $4$-cycle Gerbner and B

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T22:57:50.426059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

source=pdf_text observed=2026-05-19T22:56:44.133687Z digest=sha256:1d41ff0b936a63d4765991aa6b0e76dc7c90ab20a64a77ea45343df4e22d5bd5

Observation 15f4cbc9-6a12-4a64-aeb5-cffdc9d2e6a1 · outbound

This paper cites Kostochka, D.

Triangles in graphs without the expansion of $4$-cycle Kostochka, D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T22:57:50.427859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

source=pdf_text observed=2026-05-19T22:56:44.133687Z digest=sha256:5eed20bfdb760fc35b020c2f9db3f563a73fd59cd00ef87121ace10c47857a02

Observation 30ffa8e1-17bc-4fd3-ab8a-841ed6e1b0de · outbound

This paper cites Kostochka, D.

Triangles in graphs without the expansion of $4$-cycle Kostochka, D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T22:57:50.429840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

source=pdf_text observed=2026-05-19T22:56:44.133687Z digest=sha256:b00eb921ba5c587a1b689a6a7485d122b59c86221148908fb6675dd2b93aff8a

Observation c9abe0fc-530d-4c8c-a3bf-6c766170c1ae · outbound

This paper cites an unresolved cited work.

Triangles in graphs without the expansion of $4$-cycle Unresolved cited work

Reference 6

Resolution
verified exact
doi, observed 2026-05-19T22:57:49.924243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

source=pdf_text observed=2026-05-19T22:56:44.133687Z digest=sha256:1ab91fa3061ca9036e05fc854eee87bee6359077776013d6e7dfa87cb0e539c0

Observation 2b6ef65e-008d-4400-8aec-f9951b1a05e2 · outbound

This paper cites an unresolved cited work.

Triangles in graphs without the expansion of $4$-cycle Unresolved cited work

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T22:57:50.418459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

source=pdf_text observed=2026-05-19T22:56:44.133687Z digest=sha256:32374c3ad2b1acea3f374325fb1a54b5472f6c971dbc901647c7150e5eaf5ea9

Observation 48ada302-5569-499c-8a5b-a32f458f9878 · outbound

This paper cites an unresolved cited work.

Triangles in graphs without the expansion of $4$-cycle Unresolved cited work

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T22:57:50.411340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

source=pdf_text observed=2026-05-19T22:56:44.133687Z digest=sha256:a358c26061f306fc9df3488fec1570b6027d444d302d7a8cfe7edfc157aa6532

Observation a2f42776-4ae9-4d4b-8c96-9f3a64e82bde · outbound

This paper cites Yuan and W.

Triangles in graphs without the expansion of $4$-cycle Yuan and W

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T22:57:50.424261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

source=pdf_text observed=2026-05-19T22:56:44.133687Z digest=sha256:4e3e55457304c313795b1ea0523b70c54ccf648a609040d3f1ae6304ed00a4bb

Observation 5dab06b3-21ed-489d-8109-e715444e7cad · outbound

This paper cites an unresolved cited work.

Triangles in graphs without the expansion of $4$-cycle Unresolved cited work

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T22:57:50.416557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

source=pdf_text observed=2026-05-19T22:56:44.133687Z digest=sha256:0428f1201db5575d092854be3b25ae4d58b04cce40f8a65f46583adb834fcf56

Observation a24b25dc-e670-4bf2-bf46-c481c0b053f3 · outbound

This paper cites an unresolved cited work.

Triangles in graphs without the expansion of $4$-cycle Unresolved cited work

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T22:57:50.422470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

source=pdf_text observed=2026-05-19T22:56:44.133687Z digest=sha256:8f6eaa6e4631f615eee83310f70c68b2bb8831536bc67aff96231f4ac31f7852

Pith citing papers

No inbound Pith citation observations are available.