Pith Number

pith:CCZCFX6P

pith:2012:CCZCFX6PJWGVSE4JCXZ5C4COIW

not attested not anchored not stored refs pending

WYD-like skew information measures

Frank Hansen

arxiv:1207.4332 v1 · 2012-07-18 · math-ph · math.FA · 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{CCZCFX6PJWGVSE4JCXZ5C4COIW}

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	2026-05-18T02:56:19.381885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10b222dfcf4d8d59138915f3d1704e45be784e1ae3725eeb9d48c083e6ee1c30

Aliases

arxiv: 1207.4332 · arxiv_version: 1207.4332v1 · doi: 10.48550/arxiv.1207.4332 · pith_short_12: CCZCFX6PJWGV · pith_short_16: CCZCFX6PJWGVSE4J · pith_short_8: CCZCFX6P

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/CCZCFX6PJWGVSE4JCXZ5C4COIW \
  | 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: 10b222dfcf4d8d59138915f3d1704e45be784e1ae3725eeb9d48c083e6ee1c30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c585800ac7699d019b7103cc863da36331aadebe37d7830a7eb1e15cff9a5422",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-18T10:46:56Z",
    "title_canon_sha256": "547c33d4c8b63c147024ab965263a6922e2ca4426549755f1509eb9ce27dd2d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4332",
    "kind": "arxiv",
    "version": 1
  }
}