Pith Number

pith:H46AUMLV

pith:2010:H46AUMLVJAVZUSLZ3KDRWZODYH

not attested not anchored not stored refs pending

Rainbow connection numbers of complementary graphs

Xueliang Li, Yuefang Sun

arxiv:1011.4572 v3 · 2010-11-20 · 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{H46AUMLVJAVZUSLZ3KDRWZODYH}

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	2026-05-18T04:32:35.870603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f3c0a3175482b9a4979da871b65c3c1cebadefe0f335e39b32cb7a658461f99

Aliases

arxiv: 1011.4572 · arxiv_version: 1011.4572v3 · doi: 10.48550/arxiv.1011.4572 · pith_short_12: H46AUMLVJAVZ · pith_short_16: H46AUMLVJAVZUSLZ · pith_short_8: H46AUMLV

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/H46AUMLVJAVZUSLZ3KDRWZODYH \
  | 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: 3f3c0a3175482b9a4979da871b65c3c1cebadefe0f335e39b32cb7a658461f99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "685a16211b6941ba6554df549962edc2b134df7190992bd6c804586a09c857f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-20T09:45:13Z",
    "title_canon_sha256": "0f9ee84af7c84ae97c342a870364d1b2070b0be78d758a56b4c1941b71f1add8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4572",
    "kind": "arxiv",
    "version": 3
  }
}