Pith Number

pith:JBOFZYOB

pith:2010:JBOFZYOBVRE27WHIDBXR4AOH25

not attested not anchored not stored refs pending

On the Existence of the MLE for a Directed Random Graph Network Model with Reciprocation

A. Rinaldo, S. E. Fienberg, S. Petrovi\'c

arxiv:1010.0745 v1 · 2010-10-05 · math.ST · 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{JBOFZYOBVRE27WHIDBXR4AOH25}

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	2026-05-18T04:39:50.955563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

485c5ce1c1ac49afd8e8186f1e01c7d768bf171282f065b9866f70ec66f4f070

Aliases

arxiv: 1010.0745 · arxiv_version: 1010.0745v1 · doi: 10.48550/arxiv.1010.0745 · pith_short_12: JBOFZYOBVRE2 · pith_short_16: JBOFZYOBVRE27WHI · pith_short_8: JBOFZYOB

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/JBOFZYOBVRE27WHIDBXR4AOH25 \
  | 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: 485c5ce1c1ac49afd8e8186f1e01c7d768bf171282f065b9866f70ec66f4f070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c42b8382ea7ec6cbad18838828ed160a093f226740767e5dc54aea7608c3edaf",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-10-05T01:11:02Z",
    "title_canon_sha256": "ff993e56f67e263641ac39795b660545b526eeab9298dbd4b2c66ef756cb4e53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0745",
    "kind": "arxiv",
    "version": 1
  }
}