Pith Number

pith:NADAQ6IB

pith:2011:NADAQ6IB6UNRKJSXORIX5W4CRI

not attested not anchored not stored refs pending

Graver basis for an undirected graph and its application to testing the beta model of random graphs

Akimichi Takemura, Hisayuki Hara, Mitsunori Ogawa

arxiv:1102.2583 v3 · 2011-02-13 · math.ST · math.CO · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NADAQ6IB6UNRKJSXORIX5W4CRI}

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	2026-05-18T03:36:48.356219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6806087901f51b15265774517edb828a16cbdf81a5c5a2d1131357e5ef41c81b

Aliases

arxiv: 1102.2583 · arxiv_version: 1102.2583v3 · doi: 10.48550/arxiv.1102.2583 · pith_short_12: NADAQ6IB6UNR · pith_short_16: NADAQ6IB6UNRKJSX · pith_short_8: NADAQ6IB

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/NADAQ6IB6UNRKJSXORIX5W4CRI \
  | 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: 6806087901f51b15265774517edb828a16cbdf81a5c5a2d1131357e5ef41c81b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d2890a6597d2f338d0aefa657c85c4807928ebadfcd5d02b81581736010492f",
    "cross_cats_sorted": [
      "math.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-02-13T12:03:04Z",
    "title_canon_sha256": "ca0445a0acf7dd1536b3e20c0d68f2e90fc180ed7b470de2ddc6ae790e9dffab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2583",
    "kind": "arxiv",
    "version": 3
  }
}