Pith Number

pith:BCHJJGYY

pith:2013:BCHJJGYY3IRG24TXBJPA5P2PGA

not attested not anchored not stored refs pending

Precoloring extension involving pairs of vertices of small distance

Akira Saito, Chihoko Ojima, Kazuki Sano

arxiv:1308.3037 v1 · 2013-08-14 · 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{BCHJJGYY3IRG24TXBJPA5P2PGA}

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	2026-05-18T03:15:56.804248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

088e949b18da226d72770a5e0ebf4f300f3d6025d7222950c75eeefef1b1d2a4

Aliases

arxiv: 1308.3037 · arxiv_version: 1308.3037v1 · doi: 10.48550/arxiv.1308.3037 · pith_short_12: BCHJJGYY3IRG · pith_short_16: BCHJJGYY3IRG24TX · pith_short_8: BCHJJGYY

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/BCHJJGYY3IRG24TXBJPA5P2PGA \
  | 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: 088e949b18da226d72770a5e0ebf4f300f3d6025d7222950c75eeefef1b1d2a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beabb79aa0a27bc9fa9cead11f39c3a1e9ff4040692140d866c43227233f23a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-14T05:42:57Z",
    "title_canon_sha256": "928ee1d5549b30444412e4334abe2395e89126fbee4586047c69f737f651f158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3037",
    "kind": "arxiv",
    "version": 1
  }
}