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Paper Citation Record · LEDGER

Short proofs of three combinatorial results in the Johnson scheme

As of 7 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2605.30092.

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

pith.paper-citation-record.v1
2605.30092 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T06:22:32.038890Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

19 of 19 outbound references displayed

  • verified exact5
  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f55aa28e-06fe-4352-a523-d07edb97cfa0 · outbound

This paper cites Khachatrian.

Short proofs of three combinatorial results in the Johnson scheme Khachatrian

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-29T06:22:32.038890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:be964a4b6a1de51e5ff9d05e99b49723e4f8d42bd4417cee3ab59fe3c738714d

Observation a91f96e9-bab6-4b6a-9ed8-364e6d5ce559 · outbound

This paper cites Aljohani, J.

Short proofs of three combinatorial results in the Johnson scheme Aljohani, J

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-29T06:22:32.038890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:123ba4af247a0b762906794cc21eb8581501f8bb4a613450fa7893d1dfe5b986

Observation 5f4d9441-5c21-4be7-ae09-597ef97cb203 · outbound

This paper cites an unresolved cited work.

Short proofs of three combinatorial results in the Johnson scheme Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-29T06:22:32.038890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:4cc41b37e78f64a3cd7b9803ca2163bec032fdd8caf2b8a802d115a2ade92ac3

Observation 6f7d8222-7970-42d0-a543-eafc5a785ce9 · outbound

This paper cites On set systems without singleton intersections.Discrete Mathematics Letters, 14:85–88, 2024.

Short proofs of three combinatorial results in the Johnson scheme On set systems without singleton intersections.Discrete Mathematics Letters, 14:85–88, 2024

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-29T06:22:32.038890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:5049f3d8275c35d9f9ef37536573904f4b6563e147c9e85c032c786122602af0

Observation 949a8624-9bc9-4db1-b52f-2ae307713d3a · outbound

This paper cites an unresolved cited work.

Short proofs of three combinatorial results in the Johnson scheme Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-29T06:22:32.038890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:dfc74f01195c0179c6718366f069f336a78b2359534197ea929957c81ccdda78

Observation 39fddbb0-db03-4e64-94bd-47255791b21b · outbound

This paper cites an unresolved cited work.

Short proofs of three combinatorial results in the Johnson scheme Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-29T06:22:32.038890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:aaf908c9c98fdfe492122b0185ac327b890008c35b7eaf08a1781e301fa4fa76

Observation 3d692d15-5786-45f6-a2b2-0c6b0db6e84b · outbound

This paper cites Stability for the complete intersection theorem, and the forbidden intersection problem of Erd˝ os and S´ os.Journal of the European Mathematical Society, 26(5):1611–1654, 2024.

Short proofs of three combinatorial results in the Johnson scheme Stability for the complete intersection theorem, and the forbidden intersection problem of Erd˝ os and S´ os.Journal of the European Mathematical Society, 26(5):1611–1654, 2024

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-29T06:22:32.038890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:71f4e82eecd4908757138d06444e6604db42f18582dc18b7a313d794180210bb

Observation d90aed1a-7639-4f7b-bec3-368d8394edb1 · outbound

This paper cites Glock, D.

Short proofs of three combinatorial results in the Johnson scheme Glock, D

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-29T06:22:32.038890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:e7c56616a583e002de3e832faf9a63c6e6050af129da8e1dce888eb94b4b7747

Observation 04d99c20-cffb-4401-9355-38539a4afc16 · outbound

This paper cites Godsil and K.

Short proofs of three combinatorial results in the Johnson scheme Godsil and K

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-29T06:22:32.038890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:06334b2d5507cb2f7ceb8edf914096dc50a4cd5fcb23917d24b7a9620aee2d57

Observation 3f5cbef9-9a3e-4b13-a29a-88c4a0c1ae8d · outbound

This paper cites The existence of designs.

Short proofs of three combinatorial results in the Johnson scheme The existence of designs

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-06-29T06:23:08.723277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:ea58400752b5d0657a719a0000db68e2c36068ebb81a70c5a280c320c4fff5b8

Observation c6320eae-27f2-47a3-9a4d-edfaa3ffdb02 · outbound

This paper cites The existence of designs II.

Short proofs of three combinatorial results in the Johnson scheme The existence of designs II

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-06-29T06:23:08.716505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:7aa2e50227b6ca1871b8469073838931e6e28619cd90c32d148631afb90f00fc

Observation 76813125-24be-4b08-9c4c-c0054264cf65 · outbound

This paper cites A short proof of the existence of designs.

Short proofs of three combinatorial results in the Johnson scheme A short proof of the existence of designs

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-06-29T06:23:08.723447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:bf86b42a81214548703baac86b45f0d4c68ebb1f39b552f049e11389f538c549

Observation 77c2be87-357a-4e84-9694-386b19f9dea4 · outbound

This paper cites The junta method for hypergraphs and the Erd˝ os– Chv´ atal simplex conjecture.Advances in Mathematics, 392:107991, 2021.

Short proofs of three combinatorial results in the Johnson scheme The junta method for hypergraphs and the Erd˝ os– Chv´ atal simplex conjecture.Advances in Mathematics, 392:107991, 2021

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-29T06:22:32.038890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:ff7e41bdf3f2aa853bf00080a453b5b0990ccb871c16f53ee9de760cbcbfad71

Observation 7cdf8431-6e3b-48c8-9997-6e5a3c51a726 · outbound

This paper cites Delta-system method: a survey.

Short proofs of three combinatorial results in the Johnson scheme Delta-system method: a survey

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-06-29T06:23:08.713092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:8fbf8a93961c768f9d8cfc9227794b4cece4c76aa8750d32fc94e0d0f296d74f

Observation 4551bf0b-3f35-4133-9d68-96cfb7e9d2f4 · outbound

This paper cites On supersaturation in the Erd˝ os–S´ os problem.arXiv preprint arXiv:2602.10292, 2026.

Short proofs of three combinatorial results in the Johnson scheme On supersaturation in the Erd˝ os–S´ os problem.arXiv preprint arXiv:2602.10292, 2026

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-06-29T06:23:08.709797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:166506e5bc317b9ac45484b3062353861f2175aa5fe84be91b735fee26ce4c38

Observation 2c36ace3-cddb-496a-80af-92dac3284109 · outbound

This paper cites Spread approximations for forbidden intersec- tions problems.Advances in Mathematics, 445:109653, 2024.

Short proofs of three combinatorial results in the Johnson scheme Spread approximations for forbidden intersec- tions problems.Advances in Mathematics, 445:109653, 2024

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-29T06:22:32.038890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:105718f10bf74861587479bbab542686b612815a5ebf314ea95ecde9ed78eb18

Observation 3a556264-52b6-498b-bc41-0db57a33c172 · outbound

This paper cites Set systems containing no singleton intersection and the Delsarte number.

Short proofs of three combinatorial results in the Johnson scheme Set systems containing no singleton intersection and the Delsarte number

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-29T06:22:32.038890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:b55a8aac218e3c441d3c39760141d8bde0f51b9144c7d0498c4e7529417446ea

Observation d1917f03-6b35-49f6-b3a2-3a6fe54b48ff · outbound

This paper cites an unresolved cited work.

Short proofs of three combinatorial results in the Johnson scheme Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-29T06:22:32.038890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:6611a91c138457f5959c7ec3a1dfc49d0889bb2e56cc0287113130eae59fdfb9

Observation 43f1b176-2c6d-432d-8c2e-78d78ddaa837 · outbound

This paper cites an unresolved cited work.

Short proofs of three combinatorial results in the Johnson scheme Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-29T06:22:32.038890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:22:32.038890Z digest=sha256:eeb56f8b9ab3668827ce86e0c23063ee5a40e6ee8cb6651f9013c471f0014f1c

Pith citing papers

No inbound Pith citation observations are available.