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Paper Citation Record · LEDGER

Intersecting families with covering number three II

As of 5 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2605.08603.

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

pith.paper-citation-record.v1
2605.08603 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-12T00:54:45.537121Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+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 exact0
  • verified fuzzy21
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f73ea6ab-6ad3-406a-b4be-529e3f6dd6bf · outbound

This paper cites Erd˝ os, C.

Intersecting families with covering number three II Erd˝ os, C

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.448111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:09f617661a467a04b0a4485bf880fcf8686a32c532e8e91887adda7adbfe5ae4

Observation 726bc1f0-8e21-4a66-98e2-5da5b6a817db · outbound

This paper cites Infinite and Finite Sets.

Intersecting families with covering number three II Infinite and Finite Sets

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.452098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:bca0d0a3c655141406f3f607092af798a98e6ee098b3818b77892d326b900e13

Observation 3455c3a7-4baa-464f-bc15-f82fa5b90b13 · outbound

This paper cites Frankl, On intersecting families of finite sets, Bull.

Intersecting families with covering number three II Frankl, On intersecting families of finite sets, Bull

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.385553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:9ee76fe5d8d8b573b2cae3fd80cb9e17390623078578ea7f4cb08cec44841dbb

Observation 65d37da0-493a-422d-8e71-a2a4a215e547 · outbound

This paper cites Frankl, Erd˝ os-Ko-Rado theorem with conditions on the maximal degree, J.

Intersecting families with covering number three II Frankl, Erd˝ os-Ko-Rado theorem with conditions on the maximal degree, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.431545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:9b266438db0ddd76246ed790100be659b9746bd947034524e2b06c665c057ccb

Observation cfaa18b0-1bbf-4c2d-a5d8-68876421c056 · outbound

This paper cites Frankl, A near-exponential improvement of a bound of Erd˝ os and Lov´ asz on max- imal intersecting families, Combinatorics, Probability & Computing 28(5) (2019), 733–739.

Intersecting families with covering number three II Frankl, A near-exponential improvement of a bound of Erd˝ os and Lov´ asz on max- imal intersecting families, Combinatorics, Probability & Computing 28(5) (2019), 733–739

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.435925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:a5f955c0eb926a0615c808ab2d73d5ac8220ece01eaadb93ce3249df422c905e

Observation 49aca883-1332-4372-9bec-8ca82950b89c · outbound

This paper cites Frankl, On the maximum of the sum of the sizes of non-trivial cross-intersecting families, Combinatorica 44 (2024), 15–35.

Intersecting families with covering number three II Frankl, On the maximum of the sum of the sizes of non-trivial cross-intersecting families, Combinatorica 44 (2024), 15–35

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.439986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:5808557f17cbf52cc0f0a446ec23a7bda5b083559f4fc57275a8e4e4bb9d9adc

Observation 3dc01718-c129-411c-ae8f-40121da53314 · outbound

This paper cites Frankl, K.

Intersecting families with covering number three II Frankl, K

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.419545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:df7c7d71c3c236ef17ad7beb060c96c81955ddef095ba461935de0a9789c611d

Observation e5a87013-e604-4e97-9a8d-2eca922cdcec · outbound

This paper cites Frankl, N.

Intersecting families with covering number three II Frankl, N

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.415836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:bff5a1ba9d00112b1d49780d4dd2d135fb84688ab1b0cff84f8039130d9ff969

Observation a84229b4-db1f-4407-8900-41c0b4287b4d · outbound

This paper cites Frankl, J.

Intersecting families with covering number three II Frankl, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.427582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:fd549d5bca34159f7e1f7c3e60685eecded6bcff6512476a8c4fc34040cc6c5f

Observation 2e16a451-f1d1-443d-88e1-6050e0b635d9 · outbound

This paper cites Frankl, J.

Intersecting families with covering number three II Frankl, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.404438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:7a31d86f0f81fe71fc9355b32cf02aa974bc8284b3636310510c8bd084869337

Observation 9543ce28-1c19-4f5d-adf6-1b8ba54fdfbd · outbound

This paper cites Frankl, J.

Intersecting families with covering number three II Frankl, J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.408278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:f714ea1bcf2d1ed9441a3966155805555ac6a4847f5961c4973145b8a5b78738

Observation 441a2f7c-38db-497b-9019-913736820ac5 · outbound

This paper cites Frankl, J.

Intersecting families with covering number three II Frankl, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.401011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:82366c81732c9a3494cbec61a3151fb15883d6770ce3e0bc9634c2397ce07843

Observation 2f170cc2-7168-4764-b14f-18a141c82e86 · outbound

This paper cites Furuya, M.

Intersecting families with covering number three II Furuya, M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.412103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:feb9a709fbb90bc26189a88994539971deda2ee3946ddc7f89aa9ab12ae99eaa

Observation f228ba35-beba-48dc-b974-1aa489cc23da · outbound

This paper cites Hilton, The Erd˝ os-Ko-Rado Theorem with valency conditions, unpublished manuscript.

Intersecting families with covering number three II Hilton, The Erd˝ os-Ko-Rado Theorem with valency conditions, unpublished manuscript

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.424010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:7b6d73bc8a0c30dafae2b1485d6062fef9a0574cb989ff8d7565b363f44e6f6d

Observation dbc1e1e3-a726-4434-8078-4953e3f24c6d · outbound

This paper cites Hilton, E.C.

Intersecting families with covering number three II Hilton, E.C

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.443866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:07dc815e23d9ebffc62d61387c0ccca79b5bfb302d2b7cf275211ee5ab9ea5d6

Observation 1e191179-e2f3-40fa-acdb-a73cb4bfbd9d · outbound

This paper cites Katona, A theorem of finite sets, Theory of Graphs.

Intersecting families with covering number three II Katona, A theorem of finite sets, Theory of Graphs

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.464096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:0f40b756c69e30d86aee59e449a24c41eb646a6fa172ce32461babd803c1bd7c

Observation c5351e72-d225-4cb5-b855-3d6b938ea0d5 · outbound

This paper cites Kruskal, The number of simplices in a complex, Mathematical Optimization Techniques 251 (1963), 251–278.

Intersecting families with covering number three II Kruskal, The number of simplices in a complex, Mathematical Optimization Techniques 251 (1963), 251–278

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.397655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:2fa64c930c6383ce2047ebcb83458e970febfd6205dcf1ce040b585db16e5c7c

Observation 96cd1ec1-ef04-470f-9af1-e3448c23b402 · outbound

This paper cites Kupavskii, Intersecting families with covering number 3, J.

Intersecting families with covering number three II Kupavskii, Intersecting families with covering number 3, J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.460395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:474ab60a04bb4b631e0eeb9a1b4a277170b12925284bba99c672c2495b295435

Observation 2b69fce9-29a6-48f2-ad73-5b5311e41053 · outbound

This paper cites Lov´ asz, On minimax theorems of combinatorics, Math.

Intersecting families with covering number three II Lov´ asz, On minimax theorems of combinatorics, Math

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.456014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:4a34773b342ac4b7e034f7a1f40b6b65b2b00fa69b62009b03a173dc8efe81f8

Observation 0e18f5f9-f2ec-4cb7-87d0-c998e76edd6b · outbound

This paper cites Sperner, Ein Satz ¨ uber Untermengen einer endlichen Menge, Math.

Intersecting families with covering number three II Sperner, Ein Satz ¨ uber Untermengen einer endlichen Menge, Math

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.389782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:0d79d26307320a602103cd5c854f4cf00fe30809539461b752c34ed79d3ba842

Observation fc91f8e6-36c8-4fa6-b4dc-85d31745dd88 · outbound

This paper cites Zakharov, On the size of maximal intersecting families, Combinatorics, Probability & Computing 33 (2024), 32–49.

Intersecting families with covering number three II Zakharov, On the size of maximal intersecting families, Combinatorics, Probability & Computing 33 (2024), 32–49

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T09:28:26.393701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-12T00:54:45.537121Z digest=sha256:eae6f21d797bc3e7b59eae14443f892bce65e1cef594d2ce585efc041025c433

Pith citing papers

No inbound Pith citation observations are available.