Pith Number

pith:NQIPSHXA

pith:2025:NQIPSHXA7CGGCXQKCE63XOLNPG

not attested not anchored not stored refs pending

$C_4$-free subgraphs of high degree with geometric applications

Aleksa Milojevi\'c, Benny Sudakov, Istvan Tomon, Zach Hunter

arxiv:2506.23942 v1 · 2025-06-30 · math.CO · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQIPSHXA7CGGCXQKCE63XOLNPG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

4 papers in Pith

Nearly tight bounds for induced subdivisions

A parity Erd\H{o}s-Hajnal theorem for $t$-intersecting curves

Ramsey-type $\chi$-bounds for $\chi$-bounded graph classes

A dichotomy for hypergraph Zarankiewicz problems on axis-parallel boxes

Receipt and verification

First computed	2026-07-05T11:29:30.499857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c10f91ee0f88c615e0a113dbbb96d798c5efacde9a2a37936cfcb6785ff48ed

Aliases

arxiv: 2506.23942 · arxiv_version: 2506.23942v1 · doi: 10.48550/arxiv.2506.23942 · pith_short_12: NQIPSHXA7CGG · pith_short_16: NQIPSHXA7CGGCXQK · pith_short_8: NQIPSHXA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NQIPSHXA7CGGCXQKCE63XOLNPG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6c10f91ee0f88c615e0a113dbbb96d798c5efacde9a2a37936cfcb6785ff48ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9222fa54f025167b5c9249efe1c268cf9a9e87d4471da1b63285ed19a4c331a",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-30T15:09:00Z",
    "title_canon_sha256": "2ad6f1412e102fc414b2aa8fffb16502a7466a9a7548eaad1985e28abc4aae45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23942",
    "kind": "arxiv",
    "version": 1
  }
}