Pith Number

pith:BTX4Y5GY

pith:2016:BTX4Y5GY6RWJ56GRITYER2WR2D

not attested not anchored not stored refs pending

Well-quasi-ordering H-contraction-free graphs

Jean-Florent Raymond, Marcin Kami\'nski, Th\'eophile Trunck

arxiv:1602.00733 v2 · 2016-02-01 · 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{BTX4Y5GY6RWJ56GRITYER2WR2D}

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	2026-05-18T00:54:42.773378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cefcc74d8f46c9ef8d144f048ead1d0f51e2a765050023ad5791610630521ec

Aliases

arxiv: 1602.00733 · arxiv_version: 1602.00733v2 · doi: 10.48550/arxiv.1602.00733 · pith_short_12: BTX4Y5GY6RWJ · pith_short_16: BTX4Y5GY6RWJ56GR · pith_short_8: BTX4Y5GY

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/BTX4Y5GY6RWJ56GRITYER2WR2D \
  | 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: 0cefcc74d8f46c9ef8d144f048ead1d0f51e2a765050023ad5791610630521ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1758b08252de232704d20bc1d49bfb7f6ddf3985eb4e81c82af381a74ca102f1",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-01T22:30:00Z",
    "title_canon_sha256": "d350d29597f87dc11b8e94882fbc1e003147892ae6de9a880bb7b7c79d233c7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00733",
    "kind": "arxiv",
    "version": 2
  }
}