Pith Number

pith:MG3MOWD2

pith:2016:MG3MOWD2RY4I5MNB7AV4FPDO67

not attested not anchored not stored refs pending

$\chi$-bounded families of oriented graphs

Fr\'ed\'eric Havet, Fr\'ed\'eric Maffray, J{\o}rgen Bang-Jensen, Jose Zamora, Nicolas Bousquet, Pierre Aboulker, Pierre Charbit

arxiv:1605.07411 v1 · 2016-05-24 · 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{MG3MOWD2RY4I5MNB7AV4FPDO67}

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	2026-05-18T01:13:46.142729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b6c7587a8e388eb1a1f82bc2bc6ef7c83d16c0af66c34f28e87c04559c96d1

Aliases

arxiv: 1605.07411 · arxiv_version: 1605.07411v1 · doi: 10.48550/arxiv.1605.07411 · pith_short_12: MG3MOWD2RY4I · pith_short_16: MG3MOWD2RY4I5MNB · pith_short_8: MG3MOWD2

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/MG3MOWD2RY4I5MNB7AV4FPDO67 \
  | 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: 61b6c7587a8e388eb1a1f82bc2bc6ef7c83d16c0af66c34f28e87c04559c96d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "684f6474b486c41137416be17231e454f26eb95aafa41c5fd8d647dc9056f227",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-05-24T12:28:54Z",
    "title_canon_sha256": "7fe8b1b8eef87c1feb4a89eab561c14c5eba5b32e73cbb3b82bdc4364495958d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07411",
    "kind": "arxiv",
    "version": 1
  }
}