Pith Number

pith:2C6O52U4

pith:2013:2C6O52U4RCKXIHI4JD7B6LNZE6

not attested not anchored not stored refs pending

Spectral properties of the Laplacian of multiplex networks

Albert Diaz-Guilera, Albert Sole-Ribalta, Alex Arenas, Manlio De Domenico, Nikos E. Kouvaris, Sergio Gomez

arxiv:1307.2090 v1 · 2013-07-08 · 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{2C6O52U4RCKXIHI4JD7B6LNZE6}

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	2026-05-18T03:13:09.765232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0bceeea9c8895741d1c48fe1f2db9279edf6ce30003d7eddb6a9eb65b6842eb

Aliases

arxiv: 1307.2090 · arxiv_version: 1307.2090v1 · doi: 10.48550/arxiv.1307.2090 · pith_short_12: 2C6O52U4RCKX · pith_short_16: 2C6O52U4RCKXIHI4 · pith_short_8: 2C6O52U4

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/2C6O52U4RCKXIHI4JD7B6LNZE6 \
  | 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: d0bceeea9c8895741d1c48fe1f2db9279edf6ce30003d7eddb6a9eb65b6842eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a994cdb8ae3b519a4c3979691a229540b486fd824d382e5bdfce1343b7184d2",
    "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": "2013-07-08T13:42:14Z",
    "title_canon_sha256": "4d7fe88e653e9c2805db4f3b11595f1b728a7d0e4c2602e07cbc45f25f6d3a88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2090",
    "kind": "arxiv",
    "version": 1
  }
}