Pith Number

pith:CC46BPCL

pith:2005:CC46BPCLWKWFOQKOXHY75JEZXT

not attested not anchored not stored refs pending

Some results concerning maximum Renyi entropy distributions

Christophe Vignat, Oliver Johnson

arxiv:math/0507400 v2 · 2005-07-19 · 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{CC46BPCLWKWFOQKOXHY75JEZXT}

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	2026-05-18T04:42:12.658688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10b9e0bc4bb2ac57414eb9f1fea499bcc5d609476a00d1b03ff6dbe2ecd5273e

Aliases

arxiv: math/0507400 · arxiv_version: math/0507400v2 · doi: 10.48550/arxiv.math/0507400 · pith_short_12: CC46BPCLWKWF · pith_short_16: CC46BPCLWKWFOQKO · pith_short_8: CC46BPCL

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/CC46BPCLWKWFOQKOXHY75JEZXT \
  | 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: 10b9e0bc4bb2ac57414eb9f1fea499bcc5d609476a00d1b03ff6dbe2ecd5273e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51dc415e796ea20a38967f30f6e13e4ae9f2792723ca149a02adf26edbf24fe0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-07-19T21:05:48Z",
    "title_canon_sha256": "7c9e373fdc4e2c18bc1b7d8c288eeabb02021e39cc7eb6243833de3347d7857a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507400",
    "kind": "arxiv",
    "version": 2
  }
}