Pith Number

pith:LXXXRYLA

pith:2013:LXXXRYLANHNZIL5S6Q6RJC2PHL

not attested not anchored not stored refs pending

Decomposition into two trees with orientation constraints

Olivier Durand de Gevigney

arxiv:1304.3613 v1 · 2013-04-12 · 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{LXXXRYLANHNZIL5S6Q6RJC2PHL}

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	2026-05-18T03:28:07.061011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5def78e16069db942fb2f43d148b4f3af0a9e9e0165f8974fa18f682e2bafd49

Aliases

arxiv: 1304.3613 · arxiv_version: 1304.3613v1 · doi: 10.48550/arxiv.1304.3613 · pith_short_12: LXXXRYLANHNZ · pith_short_16: LXXXRYLANHNZIL5S · pith_short_8: LXXXRYLA

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/LXXXRYLANHNZIL5S6Q6RJC2PHL \
  | 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: 5def78e16069db942fb2f43d148b4f3af0a9e9e0165f8974fa18f682e2bafd49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a61f8003243a44f5e80b52662c754029dcecd18c190b6311aed1d566381bb154",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-12T12:08:29Z",
    "title_canon_sha256": "81a45617462b1f18124bc48db0803cb3321a5aa44c5af9f7e079be6393ea4ec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3613",
    "kind": "arxiv",
    "version": 1
  }
}