Pith Number

pith:CPMUP6WV

pith:2012:CPMUP6WVTMYAR3E53BVZKIDKL7

not attested not anchored not stored refs pending

Fat-tailed distribution derived from first eigenvector of symmetric random sparse matrix

Hisanao Takahashi

arxiv:1212.4381 v1 · 2012-12-18 · 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{CPMUP6WVTMYAR3E53BVZKIDKL7}

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	2026-05-18T02:41:10.335103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13d947fad59b3008ec9dd86b95206a5ff3490db97ea4dc90cd4e77ada5655623

Aliases

arxiv: 1212.4381 · arxiv_version: 1212.4381v1 · doi: 10.48550/arxiv.1212.4381 · pith_short_12: CPMUP6WVTMYA · pith_short_16: CPMUP6WVTMYAR3E5 · pith_short_8: CPMUP6WV

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/CPMUP6WVTMYAR3E53BVZKIDKL7 \
  | 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: 13d947fad59b3008ec9dd86b95206a5ff3490db97ea4dc90cd4e77ada5655623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c4d4d95470e643c47cffdaf9bcbe9b2d215a5451a98dc9d75665e5d588ea188",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-18T15:25:15Z",
    "title_canon_sha256": "42bb8cdd170586c8596a0d5dbd3046df689918616238fcdde1a11395fcc93612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4381",
    "kind": "arxiv",
    "version": 1
  }
}