Pith Number

pith:4XLGM274

pith:2014:4XLGM274Y7IN57ZCQNUFC5OOZ2

not attested not anchored not stored refs pending

Beyond clustering: Mean-field dynamics on networks with arbitrary subgraph composition

Istvan Z. Kiss, Luc Berthouze, Martin Ritchie

arxiv:1405.6234 v2 · 2014-05-23 · math.DS · math.PR · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XLGM274Y7IN57ZCQNUFC5OOZ2}

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	2026-05-18T01:23:19.210825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d6666bfcc7d0deff2283685175cecebd06355433a88c4769489a6bbd865daa

Aliases

arxiv: 1405.6234 · arxiv_version: 1405.6234v2 · doi: 10.48550/arxiv.1405.6234 · pith_short_12: 4XLGM274Y7IN · pith_short_16: 4XLGM274Y7IN57ZC · pith_short_8: 4XLGM274

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/4XLGM274Y7IN57ZCQNUFC5OOZ2 \
  | 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: e5d6666bfcc7d0deff2283685175cecebd06355433a88c4769489a6bbd865daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30c6ea0976abb6c8703e4bd182e8cf041410561361d786c0279bed80154dab1e",
    "cross_cats_sorted": [
      "math.PR",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-23T21:07:56Z",
    "title_canon_sha256": "8a9fee086e9c1172ef68a7feda48b4811b257d51ec298216b6fc4a93fe34f08d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6234",
    "kind": "arxiv",
    "version": 2
  }
}