Pith Number

pith:GMPSUUCR

pith:2014:GMPSUUCR7VMLGKKU3BYIH65HY7

not attested not anchored not stored refs pending

The chromatic number of a signed graph

Andr\'e Raspaud, Edita M\'a\v{c}ajov\'a, Martin \v{S}koviera

arxiv:1412.6349 v2 · 2014-12-19 · 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{GMPSUUCR7VMLGKKU3BYIH65HY7}

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	2026-05-18T01:19:42.465524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

331f2a5051fd58b32954d87083fba7c7f3efdd93ae58a0a5e35d824792a9e35f

Aliases

arxiv: 1412.6349 · arxiv_version: 1412.6349v2 · doi: 10.48550/arxiv.1412.6349 · pith_short_12: GMPSUUCR7VML · pith_short_16: GMPSUUCR7VMLGKKU · pith_short_8: GMPSUUCR

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/GMPSUUCR7VMLGKKU3BYIH65HY7 \
  | 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: 331f2a5051fd58b32954d87083fba7c7f3efdd93ae58a0a5e35d824792a9e35f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d11eb19691ea941db0fae4a763e21278d76b2c970593435d9b10975fec9e4772",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-19T14:06:51Z",
    "title_canon_sha256": "96d3e48c9e8e516a6706f5bf42be895078842af04ad6083885c79c75cf6197dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6349",
    "kind": "arxiv",
    "version": 2
  }
}