Pith Number

pith:4OZOIXZT

pith:2019:4OZOIXZT7LDA5PPEW4UU2OXBX4

not attested not anchored not stored refs pending

On the Descriptive Complexity of Color Coding

Max Bannach, Till Tantau

arxiv:1901.03364 v1 · 2019-01-10 · cs.CC · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OZOIXZT7LDA5PPEW4UU2OXBX4}

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	2026-05-17T23:56:31.446667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b2e45f33fac60ebde4b7294d3ae1bf3ef5b79d89564f9407ebe27cd310e113

Aliases

arxiv: 1901.03364 · arxiv_version: 1901.03364v1 · doi: 10.48550/arxiv.1901.03364 · pith_short_12: 4OZOIXZT7LDA · pith_short_16: 4OZOIXZT7LDA5PPE · pith_short_8: 4OZOIXZT

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/4OZOIXZT7LDA5PPEW4UU2OXBX4 \
  | 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: e3b2e45f33fac60ebde4b7294d3ae1bf3ef5b79d89564f9407ebe27cd310e113

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa7c47754656ee249dd404062295c166d85e0db9b15db349247589ae63b90c1a",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-01-10T20:04:39Z",
    "title_canon_sha256": "d22d066734cdd48b86f29ecde6f2bf79d0afc5b1690bd95385cc06d0bd67b58e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03364",
    "kind": "arxiv",
    "version": 1
  }
}