Pith Number

pith:UH46ZDSK

pith:2013:UH46ZDSKLHFCKUDNG7MZWXQLVO

not attested not anchored not stored refs pending

Mathematical Formulation of Multi-Layer Networks

Albert Sol\`e-Ribalta, Alex Arenas, Emanuele Cozzo, Manlio De Domenico, Mason A. Porter, Mikko Kivel\"a, Sergio G\`omez, Yamir Moreno

arxiv:1307.4977 v2 · 2013-07-18 · physics.soc-ph · cond-mat.dis-nn · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UH46ZDSKLHFCKUDNG7MZWXQLVO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:05:01.316353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1f9ec8e4a59ca25506d37d99b5e0bab8ca0c34377110bf043e87e7074a1f301

Aliases

arxiv: 1307.4977 · arxiv_version: 1307.4977v2 · doi: 10.48550/arxiv.1307.4977 · pith_short_12: UH46ZDSKLHFC · pith_short_16: UH46ZDSKLHFCKUDN · pith_short_8: UH46ZDSK

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/UH46ZDSKLHFCKUDNG7MZWXQLVO \
  | 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: a1f9ec8e4a59ca25506d37d99b5e0bab8ca0c34377110bf043e87e7074a1f301

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ca0e1ee09a41f568f72d60ef179b724f690bc8f827cb001157558e1b2d204b",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-07-18T15:25:53Z",
    "title_canon_sha256": "2a46aa6f67825f1e7601676a3179960b5d11bd220ed09be8448b026f5aeb407e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4977",
    "kind": "arxiv",
    "version": 2
  }
}