Pith Number

pith:W4XGCNVJ

pith:2011:W4XGCNVJNXJIGJPM5XIGOJUNBQ

not attested not anchored not stored refs pending

Dimensional behaviour of entropy and information

Mokshay Madiman, Sergey Bobkov

arxiv:1101.3352 v1 · 2011-01-17 · math.FA · cs.IT · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4XGCNVJNXJIGJPM5XIGOJUNBQ}

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	2026-05-18T04:25:27.808070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b72e6136a96dd28325ecedd067268d0c3b8c14f145d995599b618eda3c9b0a06

Aliases

arxiv: 1101.3352 · arxiv_version: 1101.3352v1 · doi: 10.48550/arxiv.1101.3352 · pith_short_12: W4XGCNVJNXJI · pith_short_16: W4XGCNVJNXJIGJPM · pith_short_8: W4XGCNVJ

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/W4XGCNVJNXJIGJPM5XIGOJUNBQ \
  | 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: b72e6136a96dd28325ecedd067268d0c3b8c14f145d995599b618eda3c9b0a06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b36ddad8748ea36b1142028e340854ac9f2e180d0c6116ff3ea3dc4ba3ec302a",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-17T23:24:16Z",
    "title_canon_sha256": "657bced96c3f80475351fd45c607862ead1e427ba38f17cf0cf8bac87924ee88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3352",
    "kind": "arxiv",
    "version": 1
  }
}