Pith Number

pith:6VOOPYZW

pith:2017:6VOOPYZW4A5CPJFUXL3TOFZQZM

not attested not anchored not stored refs pending

Optimality Of Community Structure In Complex Networks

Alexander Belyi, Carlo Ratti, Stanislav Sobolevsky

arxiv:1712.05110 v1 · 2017-12-14 · cs.SI · physics.data-an · 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{6VOOPYZW4A5CPJFUXL3TOFZQZM}

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	2026-05-18T00:28:00.996604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f55ce7e336e03a27a4b4baf7371730cb09a85cc61993587f30fc4868660f5eb6

Aliases

arxiv: 1712.05110 · arxiv_version: 1712.05110v1 · doi: 10.48550/arxiv.1712.05110 · pith_short_12: 6VOOPYZW4A5C · pith_short_16: 6VOOPYZW4A5CPJFU · pith_short_8: 6VOOPYZW

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/6VOOPYZW4A5CPJFUXL3TOFZQZM \
  | 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: f55ce7e336e03a27a4b4baf7371730cb09a85cc61993587f30fc4868660f5eb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c839dee88879a46ffaec5c1c499dc57bb42c2de53050f6d8a698cd6376b11843",
    "cross_cats_sorted": [
      "physics.data-an",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2017-12-14T07:24:19Z",
    "title_canon_sha256": "b061cafbd1bdb9644631c92d45d7ffb167e86f1255e6ccce8c5b29aa15f6b759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05110",
    "kind": "arxiv",
    "version": 1
  }
}