Pith Number

pith:4BC2ZUCA

pith:2017:4BC2ZUCAFTMXSSLHJI725KKXWM

not attested not anchored not stored refs pending

Near-domination in graphs

Alex Scott, Bruce Reed, Paul Seymour

arxiv:1710.06680 v2 · 2017-10-18 · 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{4BC2ZUCAFTMXSSLHJI725KKXWM}

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	2026-05-17T23:52:29.400241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e045acd0402cd97949674a3faea957b32d29dd59641502a4ce7ac093996ed729

Aliases

arxiv: 1710.06680 · arxiv_version: 1710.06680v2 · doi: 10.48550/arxiv.1710.06680 · pith_short_12: 4BC2ZUCAFTMX · pith_short_16: 4BC2ZUCAFTMXSSLH · pith_short_8: 4BC2ZUCA

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/4BC2ZUCAFTMXSSLHJI725KKXWM \
  | 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: e045acd0402cd97949674a3faea957b32d29dd59641502a4ce7ac093996ed729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b93263e86406666b4c0a1dd3ae5c0677ce90924805d3b953375fe63c2480d016",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-18T11:22:38Z",
    "title_canon_sha256": "cff20bb62690fe882c6c17460b389111ae939198bfcdf3689916f1ade7225184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06680",
    "kind": "arxiv",
    "version": 2
  }
}