Pith Number

pith:UFXK4ABR

pith:2009:UFXK4ABRWZ3DCDHU7Z7COU3QVX

not attested not anchored not stored refs pending

Algebraic statistics for a directed random graph model with reciprocation

Alessandro Rinaldo, Sonja Petrovi\'c, Stephen E. Fienberg

arxiv:0909.0073 v2 · 2009-09-01 · 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{UFXK4ABRWZ3DCDHU7Z7COU3QVX}

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	2026-05-18T02:24:47.465048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a16eae0031b676310cf4fe7e275370adf90a7235c3a95596883c79bed6ad816b

Aliases

arxiv: 0909.0073 · arxiv_version: 0909.0073v2 · doi: 10.48550/arxiv.0909.0073 · pith_short_12: UFXK4ABRWZ3D · pith_short_16: UFXK4ABRWZ3DCDHU · pith_short_8: UFXK4ABR

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/UFXK4ABRWZ3DCDHU7Z7COU3QVX \
  | 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: a16eae0031b676310cf4fe7e275370adf90a7235c3a95596883c79bed6ad816b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e4bf54e6f0d561670a4a5cb7c64382891c6e5b5c99386daee0a3b8d1adbf392",
    "cross_cats_sorted": [
      "math.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2009-09-01T02:41:15Z",
    "title_canon_sha256": "669eeea870990ec632be3895551174d1521fdf743c1db6492f4c24c5a8c82aa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0073",
    "kind": "arxiv",
    "version": 2
  }
}