Pith Number

pith:GHBVKRPG

pith:2016:GHBVKRPGSAKS6IHLKBN66FTDXM

not attested not anchored not stored refs pending

The chromatic number of finite type-graphs

Bill Kay, Christian Avart, Christian Reiher, Vojt\v{e}ch R\"odl

arxiv:1603.05134 v2 · 2016-03-16 · 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{GHBVKRPGSAKS6IHLKBN66FTDXM}

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	2026-05-18T00:35:44.327795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c35545e690152f20eb505bef1663bb1a4e3919a821ee99c6fdad04a39d5848

Aliases

arxiv: 1603.05134 · arxiv_version: 1603.05134v2 · doi: 10.48550/arxiv.1603.05134 · pith_short_12: GHBVKRPGSAKS · pith_short_16: GHBVKRPGSAKS6IHL · pith_short_8: GHBVKRPG

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/GHBVKRPGSAKS6IHLKBN66FTDXM \
  | 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: 31c35545e690152f20eb505bef1663bb1a4e3919a821ee99c6fdad04a39d5848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4b10351837960d50e6cad987737d059d6e82452f87963753cf832f3cb9f45fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-16T14:56:41Z",
    "title_canon_sha256": "bb960a39638f617b21b3487aa83d0d901246c542f836da7bd1798a3d20dc1492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05134",
    "kind": "arxiv",
    "version": 2
  }
}