Pith Number

pith:C2O7ZETH

pith:2018:C2O7ZETHKNEU7HKMK7O5BZCANO

not attested not anchored not stored refs pending

Properties of Noncommutative Renyi and Augustin Information

Hao-Chung Cheng, Li Gao, Min-Hsiu Hsieh

arxiv:1811.04218 v2 · 2018-11-10 · quant-ph · 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{C2O7ZETHKNEU7HKMK7O5BZCANO}

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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.

Cited by

1 paper in Pith

A Linearly Convergent Algorithm for Computing the Petz-Augustin Mean

Receipt and verification

First computed	2026-07-05T04:27:02.568396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

169dfc926753494f9d4c57ddd0e4406b88e247e4495ef062c2a4d9adf4c0e2d7

Aliases

arxiv: 1811.04218 · arxiv_version: 1811.04218v2 · doi: 10.48550/arxiv.1811.04218 · pith_short_12: C2O7ZETHKNEU · pith_short_16: C2O7ZETHKNEU7HKM · pith_short_8: C2O7ZETH

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/C2O7ZETHKNEU7HKMK7O5BZCANO \
  | 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: 169dfc926753494f9d4c57ddd0e4406b88e247e4495ef062c2a4d9adf4c0e2d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04a2ee6f0016a9a1e22004bd7d494caf477497232749e3735e48b3bac7dc7c5e",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-11-10T09:07:42Z",
    "title_canon_sha256": "62a4a72c41fca662b6a938c9ab5e3ec5234b3cc59f8888bad64da2b44e4acf11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04218",
    "kind": "arxiv",
    "version": 2
  }
}