Pith Number

pith:J2MVSCBQ

pith:2011:J2MVSCBQPVW35M6VLG6ERLA7ZI

not attested not anchored not stored refs pending

Entropy-driven cutoff phenomena

Benedetto Scoppola, Carlo Lancia, Francesca R. Nardi

arxiv:1102.4517 v7 · 2011-02-22 · 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{J2MVSCBQPVW35M6VLG6ERLA7ZI}

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	2026-05-18T02:03:06.516479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e995908307d6dbeb3d559bc48ac1fca125f2116bc4a64eced0eb52ecc79cbb6

Aliases

arxiv: 1102.4517 · arxiv_version: 1102.4517v7 · doi: 10.48550/arxiv.1102.4517 · pith_short_12: J2MVSCBQPVW3 · pith_short_16: J2MVSCBQPVW35M6V · pith_short_8: J2MVSCBQ

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/J2MVSCBQPVW35M6VLG6ERLA7ZI \
  | 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: 4e995908307d6dbeb3d559bc48ac1fca125f2116bc4a64eced0eb52ecc79cbb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d03ae01bf426403cafba6f3e5e8a360a15a37243189c6887197fbbb895f09da",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-22T14:20:56Z",
    "title_canon_sha256": "a21923eabf6b2eedfb88d34015660f8ee7f2a5a500defa52955d8540ba920b30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4517",
    "kind": "arxiv",
    "version": 7
  }
}