Pith Number

pith:3UXJE53A

pith:2015:3UXJE53AL4WYYNALQVBZIE7NVL

not attested not anchored not stored refs pending

Random Walks, Markov Processes and the Multiscale Modular Organization of Complex Networks

Jean-Charles Delvenne, Mauricio Barahona, Renaud Lambiotte

arxiv:1502.04381 v1 · 2015-02-15 · physics.soc-ph · cond-mat.stat-mech · 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{3UXJE53AL4WYYNALQVBZIE7NVL}

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	2026-05-18T02:26:59.867086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd2e9277605f2d8c340b85439413edaaf826592ca007071e12379e577f95be8f

Aliases

arxiv: 1502.04381 · arxiv_version: 1502.04381v1 · doi: 10.48550/arxiv.1502.04381 · pith_short_12: 3UXJE53AL4WY · pith_short_16: 3UXJE53AL4WYYNAL · pith_short_8: 3UXJE53A

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/3UXJE53AL4WYYNALQVBZIE7NVL \
  | 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: dd2e9277605f2d8c340b85439413edaaf826592ca007071e12379e577f95be8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fee5b1698e61b34843710e25816c7a9f9881820049800954900513ef498623a2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-02-15T23:19:58Z",
    "title_canon_sha256": "8f5e643a16aceee86450cd4b05924c8d47004e0d809baf6c3254b3a55a486083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04381",
    "kind": "arxiv",
    "version": 1
  }
}