Pith Number

pith:K5C6M57R

pith:2011:K5C6M57RPPEJCWL4GQROTGYLO4

not attested not anchored not stored refs pending

Oriented diameter and rainbow connection number of a graph

Hengzhe Li, Xiaolong Huang, Xueliang Li, Yuefang Sun

arxiv:1111.3480 v2 · 2011-11-15 · 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{K5C6M57RPPEJCWL4GQROTGYLO4}

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	2026-05-18T04:07:05.045651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5745e677f17bc891597c3422e99b0b773212bd85f16b152c05b2fe45b6c44f54

Aliases

arxiv: 1111.3480 · arxiv_version: 1111.3480v2 · doi: 10.48550/arxiv.1111.3480 · pith_short_12: K5C6M57RPPEJ · pith_short_16: K5C6M57RPPEJCWL4 · pith_short_8: K5C6M57R

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/K5C6M57RPPEJCWL4GQROTGYLO4 \
  | 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: 5745e677f17bc891597c3422e99b0b773212bd85f16b152c05b2fe45b6c44f54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abd5f5fb95ff8ca7db5637b11cf96f8e6d1a239fad9b2bb6d4589ac6a301ada9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-15T10:00:55Z",
    "title_canon_sha256": "19476d2d768b7b7a72dba13e7af52644306fdbe1a7ad0be533afa0c6f9a14f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3480",
    "kind": "arxiv",
    "version": 2
  }
}