Pith Number

pith:CXLFTKQY

pith:2013:CXLFTKQYY4WUAUW5BZLKTIOMI5

not attested not anchored not stored refs pending

Chaos and Entropic Chaos in Kac's Model Without High Moments

Amit Einav, Kleber Carrapatoso

arxiv:1303.4042 v1 · 2013-03-17 · math.PR · 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{CXLFTKQYY4WUAUW5BZLKTIOMI5}

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	2026-05-18T03:30:40.059298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d659aa18c72d4052dd0e56a9a1cc476f4d7facb9fea4d70d3586ee5d586185

Aliases

arxiv: 1303.4042 · arxiv_version: 1303.4042v1 · doi: 10.48550/arxiv.1303.4042 · pith_short_12: CXLFTKQYY4WU · pith_short_16: CXLFTKQYY4WUAUW5 · pith_short_8: CXLFTKQY

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/CXLFTKQYY4WUAUW5BZLKTIOMI5 \
  | 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: 15d659aa18c72d4052dd0e56a9a1cc476f4d7facb9fea4d70d3586ee5d586185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f27847286a7db02815fd6726409868dd9d13c1a626785cef72f62ce7ee8f3e17",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-17T08:11:46Z",
    "title_canon_sha256": "83a8ea35acbaf1c1a7323b076352716d2b7f66d1ad5ce20873ce9f800c0d08a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4042",
    "kind": "arxiv",
    "version": 1
  }
}