Pith Number

pith:EIIDPI5L

pith:2012:EIIDPI5LW5GPLFOKCXEC35MCPM

not attested not anchored not stored refs pending

On a conjectured property of the von Neumann entropy valid in the commutative case

M. E. Shirokov

arxiv:1201.1093 v1 · 2012-01-05 · 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{EIIDPI5LW5GPLFOKCXEC35MCPM}

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	2026-05-18T04:05:06.200955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

221037a3abb74cf595ca15c82df5827b0367d7b5fc21b9ad9dfa4ec469b0082f

Aliases

arxiv: 1201.1093 · arxiv_version: 1201.1093v1 · doi: 10.48550/arxiv.1201.1093 · pith_short_12: EIIDPI5LW5GP · pith_short_16: EIIDPI5LW5GPLFOK · pith_short_8: EIIDPI5L

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/EIIDPI5LW5GPLFOKCXEC35MCPM \
  | 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: 221037a3abb74cf595ca15c82df5827b0367d7b5fc21b9ad9dfa4ec469b0082f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e5c40ecc18e68a6721e57c511334479d56618e0c31b23786dfdaa86196dec7a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-01-05T09:39:58Z",
    "title_canon_sha256": "3ad323a4a26877b05c8b23583d1fb9cf028974af7ce547361a924bb9663ab84d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1093",
    "kind": "arxiv",
    "version": 1
  }
}