Pith Number

pith:VMTLC7QZ

pith:2010:VMTLC7QZJ6JQPJMMTWBTRO55AS

not attested not anchored not stored refs pending

Random graphs containing arbitrary distributions of subgraphs

Brian Karrer, M. E. J. Newman

arxiv:1005.1659 v1 · 2010-05-10 · cond-mat.stat-mech · cs.DM · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMTLC7QZJ6JQPJMMTWBTRO55AS}

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	2026-05-18T04:27:45.383188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab26b17e194f9307a58c9d8338bbbd04a8ca5fa9ad23e042d1fb8f72ac8546b3

Aliases

arxiv: 1005.1659 · arxiv_version: 1005.1659v1 · doi: 10.48550/arxiv.1005.1659 · pith_short_12: VMTLC7QZJ6JQ · pith_short_16: VMTLC7QZJ6JQPJMM · pith_short_8: VMTLC7QZ

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/VMTLC7QZJ6JQPJMMTWBTRO55AS \
  | 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: ab26b17e194f9307a58c9d8338bbbd04a8ca5fa9ad23e042d1fb8f72ac8546b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "706b581b10d6578f32fca1975cb03888777df2cbb913316068121841e1e06199",
    "cross_cats_sorted": [
      "cs.DM",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-05-10T20:12:54Z",
    "title_canon_sha256": "6e5fc7014004fa17acfe6fabd0ec91b66b3041f6e048cf22d06c767d74d495af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1659",
    "kind": "arxiv",
    "version": 1
  }
}