Pith Number

pith:APVGPMHX

pith:2015:APVGPMHXKBBWPVR6K62XUF5APO

not attested not anchored not stored refs pending

Large Communities in a scale-free network

Caio Alves, Remy Sanchis, Rodrigo Ribeiro

arxiv:1509.04650 v2 · 2015-09-15 · 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{APVGPMHXKBBWPVR6K62XUF5APO}

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	2026-05-18T00:54:41.383466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03ea67b0f7504367d63e57b57a17a07bbcac85470fc3f4e19d859bf9a1d192ec

Aliases

arxiv: 1509.04650 · arxiv_version: 1509.04650v2 · doi: 10.48550/arxiv.1509.04650 · pith_short_12: APVGPMHXKBBW · pith_short_16: APVGPMHXKBBWPVR6 · pith_short_8: APVGPMHX

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/APVGPMHXKBBWPVR6K62XUF5APO \
  | 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: 03ea67b0f7504367d63e57b57a17a07bbcac85470fc3f4e19d859bf9a1d192ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "086e38b380393e596c2aa1043e6822fc43b9d8760e3f52225ed4f3720333680f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-15T17:18:55Z",
    "title_canon_sha256": "7f6edfc8b9c153cfbb172b368c0645ac2a5a1ef2f2a92d9d11f7898cbad6a6a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04650",
    "kind": "arxiv",
    "version": 2
  }
}