Pith Number

pith:YH5YXBQP

pith:2009:YH5YXBQPSTCIPJNSPBQSFJJYFO

not attested not anchored not stored refs pending

From f-divergence to quantum quasi-entropies and their use

Denes Petz

arxiv:0909.3647 v1 · 2009-09-20 · cs.IT · math.IT · math.ST · quant-ph · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YH5YXBQPSTCIPJNSPBQSFJJYFO}

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	2026-05-18T02:11:46.008601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1fb8b860f94c487a5b2786122a5382b8b413e1e4a0873a83f2697e08d427c8d

Aliases

arxiv: 0909.3647 · arxiv_version: 0909.3647v1 · doi: 10.48550/arxiv.0909.3647 · pith_short_12: YH5YXBQPSTCI · pith_short_16: YH5YXBQPSTCIPJNS · pith_short_8: YH5YXBQP

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/YH5YXBQPSTCIPJNSPBQSFJJYFO \
  | 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: c1fb8b860f94c487a5b2786122a5382b8b413e1e4a0873a83f2697e08d427c8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f06d24eeb8277d4e38fc58f68a935d3d831b6e42cb8a3292b90302cc1192f2ce",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "quant-ph",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-09-20T18:10:11Z",
    "title_canon_sha256": "1b84818c324f54d2fc9fb3e52c7b53363af2867f5f6645c6b26c46d7176e86a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3647",
    "kind": "arxiv",
    "version": 1
  }
}