Pith Number

pith:BXX7FALY

pith:2015:BXX7FALYZBZJI7OFNAKAVPNJNW

not attested not anchored not stored refs pending

Induced subgraphs of graphs with large chromatic number. III. Long holes

Alex Scott, Maria Chudnovsky, Paul Seymour

arxiv:1506.02232 v2 · 2015-06-07 · 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{BXX7FALYZBZJI7OFNAKAVPNJNW}

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	2026-05-18T01:19:12.141175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0deff28178c872947dc568140abda96dbec3c2675da7aec3eb751245f5b9fe92

Aliases

arxiv: 1506.02232 · arxiv_version: 1506.02232v2 · doi: 10.48550/arxiv.1506.02232 · pith_short_12: BXX7FALYZBZJ · pith_short_16: BXX7FALYZBZJI7OF · pith_short_8: BXX7FALY

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/BXX7FALYZBZJI7OFNAKAVPNJNW \
  | 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: 0deff28178c872947dc568140abda96dbec3c2675da7aec3eb751245f5b9fe92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f000f46a2c1f7140e8efd49ffc06cd462902a02ef3d65ac13e029ca8b1c7bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-07T07:52:16Z",
    "title_canon_sha256": "23b7f1adec957d60e646b39b72f04e53088365a51c0f44a3d51a290e9679bc13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02232",
    "kind": "arxiv",
    "version": 2
  }
}