Pith Number

pith:2Z5J6ZPC

pith:2012:2Z5J6ZPCW7PRXUDMC6MVF7WAMI

not attested not anchored not stored refs pending

A Few Ways to Destroy Entropic Chaoticity on Kac's Sphere

Amit Einav

arxiv:1208.6575 v1 · 2012-08-31 · 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{2Z5J6ZPCW7PRXUDMC6MVF7WAMI}

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	2026-05-18T03:46:32.538123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d67a9f65e2b7df1bd06c179952fec0622df7a592d90985eddad95c67d17639e8

Aliases

arxiv: 1208.6575 · arxiv_version: 1208.6575v1 · doi: 10.48550/arxiv.1208.6575 · pith_short_12: 2Z5J6ZPCW7PR · pith_short_16: 2Z5J6ZPCW7PRXUDM · pith_short_8: 2Z5J6ZPC

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/2Z5J6ZPCW7PRXUDMC6MVF7WAMI \
  | 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: d67a9f65e2b7df1bd06c179952fec0622df7a592d90985eddad95c67d17639e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab5b89c435e31bac20420bca6aa5c5d7ddedf238fe0a72ed2300fa1bd3cc0536",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-31T18:49:06Z",
    "title_canon_sha256": "60ebcc262d0e0f4f291b5483ac1f9d49b4471ab0fceb05fbd45a8884dd7f8438"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6575",
    "kind": "arxiv",
    "version": 1
  }
}