Pith Number

pith:P5DNS6MC

pith:2011:P5DNS6MCIACEG74M6VNHDHZ2UZ

not attested not anchored not stored refs pending

Small-world spectra in mean field theory

Carsten Grabow, Marc Timme, Stefan Grosskinsky

arxiv:1112.1728 v1 · 2011-12-07 · physics.soc-ph · cond-mat.dis-nn · 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{P5DNS6MCIACEG74M6VNHDHZ2UZ}

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	2026-05-18T01:37:45.042794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f46d979824004437f8cf55a719f3aa658fe3c8195b486458659728408426b40

Aliases

arxiv: 1112.1728 · arxiv_version: 1112.1728v1 · doi: 10.48550/arxiv.1112.1728 · pith_short_12: P5DNS6MCIACE · pith_short_16: P5DNS6MCIACEG74M · pith_short_8: P5DNS6MC

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/P5DNS6MCIACEG74M6VNHDHZ2UZ \
  | 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: 7f46d979824004437f8cf55a719f3aa658fe3c8195b486458659728408426b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc7c957e81a6fe1b14838ac74d0aec3e6236bdb833216c75128f27295d69853e",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.SI",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-12-07T23:11:10Z",
    "title_canon_sha256": "0142e909575bd94a2617c5190d1446b36cf820138a32bcb62251f91d39cac13b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1728",
    "kind": "arxiv",
    "version": 1
  }
}