Pith Number

pith:66WGGRRR

pith:2009:66WGGRRRGHQFLVFWNJP3FRD2YZ

not attested not anchored not stored refs pending

Modularity measure of networks with overlapping communities

Anna L\'az\'ar, D\'aniel \'Abel, Tam\'as Vicsek

arxiv:0910.5072 v1 · 2009-10-27 · 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{66WGGRRRGHQFLVFWNJP3FRD2YZ}

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	2026-05-18T02:11:11.009361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7ac63463131e055d4b66a5fb2c47ac64cbcd72eacc281ae5e59b528cebdcb5c

Aliases

arxiv: 0910.5072 · arxiv_version: 0910.5072v1 · doi: 10.48550/arxiv.0910.5072 · pith_short_12: 66WGGRRRGHQF · pith_short_16: 66WGGRRRGHQFLVFW · pith_short_8: 66WGGRRR

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/66WGGRRRGHQFLVFWNJP3FRD2YZ \
  | 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: f7ac63463131e055d4b66a5fb2c47ac64cbcd72eacc281ae5e59b528cebdcb5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1357a014467f9b1f5f98b843a6e68f34f401d340939b11d6623017dead552f3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2009-10-27T09:28:54Z",
    "title_canon_sha256": "c05e2ef3fb0c7ac753d28ccf6256064248e7420b9ddff38e3da1d3ac17a8d9e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5072",
    "kind": "arxiv",
    "version": 1
  }
}