Pith Number

pith:QQRTULQG

pith:2024:QQRTULQGOGJZEWWZFY7QKFURBV

not attested not anchored not stored refs pending

A note on finding large transversals efficiently

Michael Anastos, Patrick Morris

arxiv:2412.05891 v2 · 2024-12-08 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQRTULQGOGJZEWWZFY7QKFURBV}

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.

Receipt and verification

First computed	2026-06-23T03:13:44.162907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84233a2e067193925ad92e3f0516910d79d8f722e0368c529bde3ba575e6d54f

Aliases

arxiv: 2412.05891 · arxiv_version: 2412.05891v2 · doi: 10.48550/arxiv.2412.05891 · pith_short_12: QQRTULQGOGJZ · pith_short_16: QQRTULQGOGJZEWWZ · pith_short_8: QQRTULQG

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/QQRTULQGOGJZEWWZFY7QKFURBV \
  | 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: 84233a2e067193925ad92e3f0516910d79d8f722e0368c529bde3ba575e6d54f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ab25666c520e6f84918694b5f807dc9080118e451db0c682b3a44dca90c85ba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-08T11:08:28Z",
    "title_canon_sha256": "4012cc367c1de818eba49ede53b4594fb8d34f7f14f44f5ab8b4b0df4acda77c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05891",
    "kind": "arxiv",
    "version": 2
  }
}