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Paper Citation Record · LEDGER

A grid generalisation of the Kruskal-Katona theorem

As of 20 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:1908.02253.

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

pith.paper-citation-record.v1
1908.02253 v2

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:06:10.714173Z

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

6 of 6 outbound references displayed

  • verified exact0
  • verified fuzzy3
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4201bb53-3344-4a73-b926-c27e545f483b · outbound

This paper cites Bollob´ as, I.

A grid generalisation of the Kruskal-Katona theorem Bollob´ as, I

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:06:10.821348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:06:10.692293Z digest=sha256:fe341304a939c7eddb5d294934f56a0328d613eb7941f61490d7aa3c2bc3f9fa

Observation f2bbe45b-5034-49b3-a596-f7e383100ef6 · outbound

This paper cites an unresolved cited work.

A grid generalisation of the Kruskal-Katona theorem Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:06:10.801987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:06:10.697454Z digest=sha256:7af6cc2038ab33b5a6d2bd643c3916d02b088a50a85b1ca045eefcc0a47469b4

Observation 52f1d434-08ca-41e9-9bf0-d7abf72d415d · outbound

This paper cites an unresolved cited work.

A grid generalisation of the Kruskal-Katona theorem Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:06:10.789864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:06:10.701918Z digest=sha256:333a2fea1aec9c22161baae5d461f39300f4830eef2989f8dd761e6a928a38ed

Observation f9cbdf6e-94db-4a9e-b93a-07c3ece0fc52 · outbound

This paper cites Katona, A theorem of finite sets, Theory of Graphs , Akademiai Kiado (1968), 187-207.

A grid generalisation of the Kruskal-Katona theorem Katona, A theorem of finite sets, Theory of Graphs , Akademiai Kiado (1968), 187-207

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:06:10.778272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:06:10.706264Z digest=sha256:2eee990d78dc9d29380ac3167008b8d82a586c78226e55610f5b025a28e9709a

Observation 7ec3170f-7245-4a14-a121-68c1b8a3c591 · outbound

This paper cites Kleitman, Extremal hypergraph problems.

A grid generalisation of the Kruskal-Katona theorem Kleitman, Extremal hypergraph problems

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:06:10.766508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:06:10.710407Z digest=sha256:c35f751a3ec334df76e8d0742d66805c257248e980eb559dd7cddd92d856363a

Observation 5947762b-4e1a-4caf-9552-6ee8a76a5e31 · outbound

This paper cites an unresolved cited work.

A grid generalisation of the Kruskal-Katona theorem Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:06:10.751227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:06:10.714173Z digest=sha256:2b26b889602d325af168859c94fbd74f88cfff417235e0a8400e6a32f955c7e9

Pith citing papers

No inbound Pith citation observations are available.