Pith Number

pith:66CVLSO5

pith:2016:66CVLSO52JJXQDYSRHMAF7IQE7

not attested not anchored not stored refs pending

Subdivisions in digraphs of large out-degree or large dichromatic number

Fr\'ederic Havet, Nathann Cohen, Phablo F. S. Moura, Pierre Aboulker, St\'ephan Thomass\'e, William Lochet

arxiv:1610.00876 v1 · 2016-10-04 · 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{66CVLSO52JJXQDYSRHMAF7IQE7}

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	2026-05-18T01:03:13.017099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f78555c9ddd253780f1289d802fd1027d318656c9d35696cde1ff5eceb60c453

Aliases

arxiv: 1610.00876 · arxiv_version: 1610.00876v1 · doi: 10.48550/arxiv.1610.00876 · pith_short_12: 66CVLSO52JJX · pith_short_16: 66CVLSO52JJXQDYS · pith_short_8: 66CVLSO5

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/66CVLSO52JJXQDYSRHMAF7IQE7 \
  | 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: f78555c9ddd253780f1289d802fd1027d318656c9d35696cde1ff5eceb60c453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "902fc4d6ecc01725d665b2cb4827ac12693497c76d04566b68f03124b0480053",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-04T07:25:24Z",
    "title_canon_sha256": "20464e7482dc051ad8c0c7e13efc2f7b934583c491b7229383743bbff31d91c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00876",
    "kind": "arxiv",
    "version": 1
  }
}