Pith Number

pith:AFOYRYG2

pith:2023:AFOYRYG2VVXHCJ5PCMGZBGGZ73

not attested not anchored not stored refs pending

Chromatic number is not tournament-local

Ant\'onio Gir\~ao, Florian Lehner, Freddie Illingworth, Kevin Hendrey, Lukas Michel, Michael Savery, Raphael Steiner

arxiv:2305.15585 v2 · 2023-05-24 · 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{AFOYRYG2VVXHCJ5PCMGZBGGZ73}

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	2026-07-05T07:19:45.357880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

015d88e0daad6e7127af130d9098d9feeb7e45e266014cceeda60406b02add5d

Aliases

arxiv: 2305.15585 · arxiv_version: 2305.15585v2 · doi: 10.48550/arxiv.2305.15585 · pith_short_12: AFOYRYG2VVXH · pith_short_16: AFOYRYG2VVXHCJ5P · pith_short_8: AFOYRYG2

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/AFOYRYG2VVXHCJ5PCMGZBGGZ73 \
  | 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: 015d88e0daad6e7127af130d9098d9feeb7e45e266014cceeda60406b02add5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf3bd21add1b23e88f1c9b9ffd16d11fc76798e113032172b81e4628933e393c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-24T21:41:18Z",
    "title_canon_sha256": "d57432d30e99174bd914515871ccf79d7e9161c6b63d26e03b50eb05bdd9f017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.15585",
    "kind": "arxiv",
    "version": 2
  }
}