Pith Number

pith:YQEXGD4Y

pith:2011:YQEXGD4YFSLTEQO2IQ72XC6LBF

not attested not anchored not stored refs pending

Modularity functions maximization with nonnegative relaxation facilitates community detection in networks

Jonathan Q. Jiang, Lisa J. McQuay

arxiv:1103.4072 v2 · 2011-03-21 · physics.soc-ph · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQEXGD4YFSLTEQO2IQ72XC6LBF}

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	2026-05-18T02:02:48.710726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c409730f982c973241da443fab8bcb0957d4d64f3f8f5a3dfcade2c7fd8f5b08

Aliases

arxiv: 1103.4072 · arxiv_version: 1103.4072v2 · doi: 10.48550/arxiv.1103.4072 · pith_short_12: YQEXGD4YFSLT · pith_short_16: YQEXGD4YFSLTEQO2 · pith_short_8: YQEXGD4Y

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/YQEXGD4YFSLTEQO2IQ72XC6LBF \
  | 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: c409730f982c973241da443fab8bcb0957d4d64f3f8f5a3dfcade2c7fd8f5b08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9946c7e204db91e48705d21a366fd1465eab6af7ad656614ea8b7d910cae461",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-03-21T16:43:50Z",
    "title_canon_sha256": "1e8811532c6d91025591f97709d0f115ec0c3fa8960a4e632403492e243c91a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4072",
    "kind": "arxiv",
    "version": 2
  }
}