Pith Number

pith:4J76TQNH

pith:2022:4J76TQNHPLEHPVE4OPM7JQHRYY

not attested not anchored not stored refs pending

Laplacian paths in complex networks: information core emerges from entropic transitions

Andrea Gabrielli, Francesca Santucci, Guido Caldarelli, Pablo Villegas, Tommaso Gili

arxiv:2202.06669 v3 · 2022-02-14 · physics.soc-ph · cond-mat.dis-nn · nlin.AO · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4J76TQNHPLEHPVE4OPM7JQHRYY}

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	2026-07-05T04:57:44.920425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27fe9c1a77ac877d49c73d9f4c0f1c60efbee6df8f70c5e8f0743599f24b631

Aliases

arxiv: 2202.06669 · arxiv_version: 2202.06669v3 · doi: 10.48550/arxiv.2202.06669 · pith_short_12: 4J76TQNHPLEH · pith_short_16: 4J76TQNHPLEHPVE4 · pith_short_8: 4J76TQNH

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/4J76TQNHPLEHPVE4OPM7JQHRYY \
  | 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: e27fe9c1a77ac877d49c73d9f4c0f1c60efbee6df8f70c5e8f0743599f24b631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21c8c7c5569b7e61870c9441327c5d6c6219bb0298328936cd80869adc169cb1",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "nlin.AO",
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2022-02-14T12:55:55Z",
    "title_canon_sha256": "3b01d858cba6f26ed5f183932cdf403bae2ff50259a657b32e0a15704215a83c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.06669",
    "kind": "arxiv",
    "version": 3
  }
}