Pith Number

pith:HSON3Y4V

pith:2016:HSON3Y4VBUWYEAGEZO6ZJBSBAR

not attested not anchored not stored refs pending

Entropies in General Probabilistic Theories and its Application to Holevo Bound

Gen Kimura, Junji Ishiguro, Makoto Fukui

arxiv:1604.08009 v1 · 2016-04-27 · quant-ph · 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{HSON3Y4VBUWYEAGEZO6ZJBSBAR}

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	2026-05-18T01:01:24.101725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c9cdde3950d2d8200c4cbbd948641047c2735500f955bbef58536e6303e9bbc

Aliases

arxiv: 1604.08009 · arxiv_version: 1604.08009v1 · doi: 10.48550/arxiv.1604.08009 · pith_short_12: HSON3Y4VBUWY · pith_short_16: HSON3Y4VBUWYEAGE · pith_short_8: HSON3Y4V

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/HSON3Y4VBUWYEAGEZO6ZJBSBAR \
  | 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: 3c9cdde3950d2d8200c4cbbd948641047c2735500f955bbef58536e6303e9bbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "710672a4d40af60c054ee53cebc3d3f9eff9bda6eda5910f356ddcf42d27591e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-04-27T10:23:47Z",
    "title_canon_sha256": "0beee3ebaf45cf7e06f4d34c2b2db7f5fd25d8da3934ac6ce45131921ea2b2f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08009",
    "kind": "arxiv",
    "version": 1
  }
}