Pith Number

pith:CZDID25K

pith:2014:CZDID25KSRZGAYFLPM7AMWL4ZK

not attested not anchored not stored refs pending

Borel chromatic number of closed graphs

Dominique Lecomte (IMJ), Miroslav Zeleny

arxiv:1406.7544 v2 · 2014-06-29 · math.LO · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZDID25KSRZGAYFLPM7AMWL4ZK}

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	2026-05-18T02:31:20.978482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

164681ebaa94726060ab7b3e06597cca9c57f233cd711c860f9015e5dcf0839b

Aliases

arxiv: 1406.7544 · arxiv_version: 1406.7544v2 · doi: 10.48550/arxiv.1406.7544 · pith_short_12: CZDID25KSRZG · pith_short_16: CZDID25KSRZGAYFL · pith_short_8: CZDID25K

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/CZDID25KSRZGAYFLPM7AMWL4ZK \
  | 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: 164681ebaa94726060ab7b3e06597cca9c57f233cd711c860f9015e5dcf0839b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "776e9072bb4102ecd6aab2aa800a78ad4e1099ebca0b67ec99904d6d2a379ae9",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-06-29T19:41:04Z",
    "title_canon_sha256": "42180d5f360217db863a1d8d477cc4a79573b3294622a62daa4b4e495e49eb1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7544",
    "kind": "arxiv",
    "version": 2
  }
}