Pith Number

pith:3IM36K6X

pith:2013:3IM36K6XWBOF4B24JFPSHIZ2MZ

not attested not anchored not stored refs pending

Characterize graphs with rainbow connection number $m-2$ and $m-3$

Xueliang Li, Yan Zhao, Yuefang Sun

arxiv:1312.3068 v1 · 2013-12-11 · 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{3IM36K6XWBOF4B24JFPSHIZ2MZ}

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	2026-05-18T03:05:00.566057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da19bf2bd7b05c5e075c495f23a33a66516706e8cf96b7cbe4b34938c6ee37c0

Aliases

arxiv: 1312.3068 · arxiv_version: 1312.3068v1 · doi: 10.48550/arxiv.1312.3068 · pith_short_12: 3IM36K6XWBOF · pith_short_16: 3IM36K6XWBOF4B24 · pith_short_8: 3IM36K6X

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/3IM36K6XWBOF4B24JFPSHIZ2MZ \
  | 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: da19bf2bd7b05c5e075c495f23a33a66516706e8cf96b7cbe4b34938c6ee37c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f799c5dbe2f518b3dd359fe25ee6f581ee73223b333543ca4f3e1dd664b568f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-11T08:13:18Z",
    "title_canon_sha256": "ce53c8e1a21ccabb5f0d9c1da552969afd3bb12c03a7d0c4ca6bd16bf554ccda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3068",
    "kind": "arxiv",
    "version": 1
  }
}