Pith Number

pith:TOKZLFWQ

pith:2011:TOKZLFWQJMD3FK6CR3GIM3KE3O

not attested not anchored not stored refs pending

Random matrices ensembles and the extensivity of the Sq entropy

A. C. Bertuola, M. P. Pato

arxiv:1110.2948 v1 · 2011-10-13 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOKZLFWQJMD3FK6CR3GIM3KE3O}

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	2026-05-18T04:11:06.590752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b959596d04b07b2abc28ecc866d44dbb2a7c352b71bbaf3a25f835c79722c71

Aliases

arxiv: 1110.2948 · arxiv_version: 1110.2948v1 · doi: 10.48550/arxiv.1110.2948 · pith_short_12: TOKZLFWQJMD3 · pith_short_16: TOKZLFWQJMD3FK6C · pith_short_8: TOKZLFWQ

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/TOKZLFWQJMD3FK6CR3GIM3KE3O \
  | 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: 9b959596d04b07b2abc28ecc866d44dbb2a7c352b71bbaf3a25f835c79722c71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c05090429ef64bf6385f9f748231fd0d0b8ffd6f81b50234c1aec6cb43190db3",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-10-13T14:02:16Z",
    "title_canon_sha256": "4862dca7cf07e3da25f6c16abf7bb332c7d42078d27fe1507e6b48f668ad06b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2948",
    "kind": "arxiv",
    "version": 1
  }
}