Pith Number

pith:XO7X4U5A

pith:2015:XO7X4U5AQGSODJX4UAGRFLNHHV

not attested not anchored not stored refs pending

Random networks with preferential growth and vertex death

Maria Deijfen

arxiv:1509.07033 v1 · 2015-09-23 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XO7X4U5AQGSODJX4UAGRFLNHHV}

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	2026-05-18T01:32:17.139801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbbf7e53a081a4e1a6fca00d12ada73d686fcb551b5fd767e34a39c366607292

Aliases

arxiv: 1509.07033 · arxiv_version: 1509.07033v1 · doi: 10.48550/arxiv.1509.07033 · pith_short_12: XO7X4U5AQGSO · pith_short_16: XO7X4U5AQGSODJX4 · pith_short_8: XO7X4U5A

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/XO7X4U5AQGSODJX4UAGRFLNHHV \
  | 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: bbbf7e53a081a4e1a6fca00d12ada73d686fcb551b5fd767e34a39c366607292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d740614055a96a4cee158935a340906607dbd0310e2fcc3e1a1c79b79caa1f08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-23T15:35:25Z",
    "title_canon_sha256": "6761739f40406a5bd0482222d698694bdec5d4ec2f69049e51152eb5aa31f92e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07033",
    "kind": "arxiv",
    "version": 1
  }
}