Pith Number

pith:HSGE3GOR

pith:2011:HSGE3GORX3UT4EJ6AL2JLVKBG2

not attested not anchored not stored refs pending

The Physics of Communicability in Complex Networks

Ernesto Estrada (U. Strathclyde), Michele Benzi (Emory U.), Naomichi Hatano (U. Tokyo)

arxiv:1109.2950 v1 · 2011-09-13 · physics.soc-ph · cond-mat.stat-mech · cs.SI · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSGE3GORX3UT4EJ6AL2JLVKBG2}

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.

Cited by

2 papers in Pith

Unifying Dynamical Systems and Graph Theory to Mechanistically Understand Computation in Neural Networks

Receipt and verification

First computed	2026-05-18T02:19:34.439251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c8c4d99d1bee93e113e02f495d5413691bdc59333f4b664e501c3193565d387

Aliases

arxiv: 1109.2950 · arxiv_version: 1109.2950v1 · doi: 10.48550/arxiv.1109.2950 · pith_short_12: HSGE3GORX3UT · pith_short_16: HSGE3GORX3UT4EJ6 · pith_short_8: HSGE3GOR

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/HSGE3GORX3UT4EJ6AL2JLVKBG2 \
  | 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: 3c8c4d99d1bee93e113e02f495d5413691bdc59333f4b664e501c3193565d387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7b433537f5ec8b8e29e13189499f9f2cf8fa549e8316a430d7ab21ed92c140d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.SI",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-09-13T23:34:39Z",
    "title_canon_sha256": "3ff7f1926c917ef2c5ff5a525fb4816d0b48e784fa947105d5fd28485d04d30e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2950",
    "kind": "arxiv",
    "version": 1
  }
}