Pith Number

pith:3QPTIXSS

pith:2022:3QPTIXSSCZRRMCNTYGYBMLUSYY

not attested not anchored not stored refs pending

Strengthening a theorem of Meyniel

Carl Feghali, Cl\'ement Legrand-Duchesne, Franti\v{s}ek Kardo\v{s}, Quentin Deschamps, Th\'eo Pierron

arxiv:2201.07595 v1 · 2022-01-19 · 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{3QPTIXSSCZRRMCNTYGYBMLUSYY}

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	2026-07-05T03:49:48.491918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc1f345e5216631609b3c1b0162e92c61a44a7a629999a6b3af84b441821ac83

Aliases

arxiv: 2201.07595 · arxiv_version: 2201.07595v1 · doi: 10.48550/arxiv.2201.07595 · pith_short_12: 3QPTIXSSCZRR · pith_short_16: 3QPTIXSSCZRRMCNT · pith_short_8: 3QPTIXSS

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/3QPTIXSSCZRRMCNTYGYBMLUSYY \
  | 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: dc1f345e5216631609b3c1b0162e92c61a44a7a629999a6b3af84b441821ac83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96a76a775b5dd109c4a7374aae86526824b7f1d2c9b10f6b69d6396b85c04a5d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-01-19T13:45:08Z",
    "title_canon_sha256": "37d640e624d561fb70650cef7241ad14460e4c5b1fe89e026521842c64547c61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.07595",
    "kind": "arxiv",
    "version": 1
  }
}