Pith Number

pith:VDVN3GEW

pith:2011:VDVN3GEW3JCTSOHM7R62PBTVEY

not attested not anchored not stored refs pending

Upper bound for the rainbow connection number of bridgeless graphs with diameter 3

Hengzhe Li, Xueliang Li, Yuefang Sun

arxiv:1109.2769 v2 · 2011-09-13 · 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{VDVN3GEW3JCTSOHM7R62PBTVEY}

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	2026-05-18T04:11:07.100759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8eadd9896da453938ecfc7da78675263940b4ef9aa25aa3ecc02d1eabfbb22b

Aliases

arxiv: 1109.2769 · arxiv_version: 1109.2769v2 · doi: 10.48550/arxiv.1109.2769 · pith_short_12: VDVN3GEW3JCT · pith_short_16: VDVN3GEW3JCTSOHM · pith_short_8: VDVN3GEW

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/VDVN3GEW3JCTSOHM7R62PBTVEY \
  | 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: a8eadd9896da453938ecfc7da78675263940b4ef9aa25aa3ecc02d1eabfbb22b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e6e624503cc3d756b97629e9abe5e3bf432577da4853205d70ab99e57eb1dd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-13T13:03:16Z",
    "title_canon_sha256": "a7dda8e13040be220d9062aab9c819be0b0491cf704c1e4d0c8f89b2d3d6d586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2769",
    "kind": "arxiv",
    "version": 2
  }
}