Pith Number

pith:AWOPYLJZ

pith:2006:AWOPYLJZ3HAXN6ZXTVHVG4CPMS

not attested not anchored not stored refs pending

On Pinsker's Type Inequalities and Csiszar's f-divergences. Part I: Second and Fourth-Order Inequalities

Gustavo L. Gilardoni

arxiv:cs/0603097 v2 · 2006-03-24 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWOPYLJZ3HAXN6ZXTVHVG4CPMS}

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	2026-05-18T04:36:49.598489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

059cfc2d39d9c176fb379d4f53704f6499f88d0c8fd0189adc1059e6696b0e4a

Aliases

arxiv: cs/0603097 · arxiv_version: cs/0603097v2 · doi: 10.48550/arxiv.cs/0603097 · pith_short_12: AWOPYLJZ3HAX · pith_short_16: AWOPYLJZ3HAXN6ZX · pith_short_8: AWOPYLJZ

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/AWOPYLJZ3HAXN6ZXTVHVG4CPMS \
  | 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: 059cfc2d39d9c176fb379d4f53704f6499f88d0c8fd0189adc1059e6696b0e4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f01c6602786e86984800dc169365254e712af0ac2ce91fdc4251f6e01f1c4c46",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2006-03-24T11:47:59Z",
    "title_canon_sha256": "26f1d2ebfb6c475e055eab267a82f1f1709f3b73672443da73b6f2d7622ea0f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0603097",
    "kind": "arxiv",
    "version": 2
  }
}