Pith Number

pith:XWW4N5QC

pith:2025:XWW4N5QCUHMI4CKCCLOXXFVLSA

not attested not anchored not stored refs pending

The Hajnal--Rothschild problem

Andrey Kupavskii, Peter Frankl

arxiv:2502.06699 v1 · 2025-02-10 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWW4N5QCUHMI4CKCCLOXXFVLSA}

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

3 papers in Pith

Forbidden Intersection Theorems for Matrix Spaces

A Complete Intersection Theorem for Large Permutation Groups

Matchings in permutations

Receipt and verification

First computed	2026-07-05T10:12:10.935841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdadc6f602a1d88e094212dd7b96ab902dece55829c716f57e4e7b6130f68edc

Aliases

arxiv: 2502.06699 · arxiv_version: 2502.06699v1 · doi: 10.48550/arxiv.2502.06699 · pith_short_12: XWW4N5QCUHMI · pith_short_16: XWW4N5QCUHMI4CKC · pith_short_8: XWW4N5QC

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/XWW4N5QCUHMI4CKCCLOXXFVLSA \
  | 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: bdadc6f602a1d88e094212dd7b96ab902dece55829c716f57e4e7b6130f68edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33af4a16701d8b9b850e20cc942b94afea123c041dbc2c605c55a9e918b3fc1e",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-10T17:24:56Z",
    "title_canon_sha256": "53a2c4991b406e34c2b10dda1689221979c105b461fa48760546b54ac55604f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06699",
    "kind": "arxiv",
    "version": 1
  }
}