Pith Number

pith:FYTAZXP7

pith:2013:FYTAZXP77EDGMKBKMUMIYP7CPI

not attested not anchored not stored refs pending

Quantum Skew Divergence

Koenraad M.R. Audenaert

arxiv:1304.5935 v2 · 2013-04-22 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYTAZXP77EDGMKBKMUMIYP7CPI}

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.

Cited by

1 paper in Pith

Upper bounds on the Holevo quantity arising from the fundamental entropic inequality

Receipt and verification

First computed	2026-05-18T01:50:23.652884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e260cddfff90666282a65188c3fe27a19f7b591f5107e750470b628fc0f58cd

Aliases

arxiv: 1304.5935 · arxiv_version: 1304.5935v2 · doi: 10.48550/arxiv.1304.5935 · pith_short_12: FYTAZXP77EDG · pith_short_16: FYTAZXP77EDGMKBK · pith_short_8: FYTAZXP7

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/FYTAZXP77EDGMKBKMUMIYP7CPI \
  | 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: 2e260cddfff90666282a65188c3fe27a19f7b591f5107e750470b628fc0f58cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c6bf01267a8a578082e8f6a4ded4fa71a17ff44edb10c30a91d458926fe9b1b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-22T13:00:59Z",
    "title_canon_sha256": "ef1740cea96ab9e7635e382017cb419398f83ed9f0f86c8c453dd840ea0a8767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5935",
    "kind": "arxiv",
    "version": 2
  }
}