Pith Number

pith:BV6J2IQN

pith:2013:BV6J2IQNQ3ECFH5THG2IC3INIT

not attested not anchored not stored refs pending

Some upper bounds for 3-rainbow index of graphs

Tingting Liu, Yumei Hu

arxiv:1310.2355 v1 · 2013-10-09 · 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{BV6J2IQNQ3ECFH5THG2IC3INIT}

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	2026-05-18T03:10:57.150900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d7c9d220d86c8229fb339b4816d0d44eff92cfde8d66425a4a6208c037fec43

Aliases

arxiv: 1310.2355 · arxiv_version: 1310.2355v1 · doi: 10.48550/arxiv.1310.2355 · pith_short_12: BV6J2IQNQ3EC · pith_short_16: BV6J2IQNQ3ECFH5T · pith_short_8: BV6J2IQN

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/BV6J2IQNQ3ECFH5THG2IC3INIT \
  | 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: 0d7c9d220d86c8229fb339b4816d0d44eff92cfde8d66425a4a6208c037fec43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67dc85526e9a81e749811729568950c1c680eb8d5a989603a4ff1cd354b08822",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-09T05:32:54Z",
    "title_canon_sha256": "3bc0abdbe983e28be5306754d0b25f7e5ba055614f1a6ce8e9f697ff2e5daf80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2355",
    "kind": "arxiv",
    "version": 1
  }
}