Pith Number

pith:62YA7BTK

pith:2010:62YA7BTKVKNQSFZCLULPX237GY

not attested not anchored not stored refs pending

Quantum conditional entropy for infinite-dimensional systems

A. A. Kuznetsova

arxiv:1004.4519 v2 · 2010-04-26 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62YA7BTKVKNQSFZCLULPX237GY}

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	2026-07-05T03:34:03.694923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b00f866aaa9b0917225d16fbeb7f36182d3dba0c667c41a42e4266f1bf4ede

Aliases

arxiv: 1004.4519 · arxiv_version: 1004.4519v2 · doi: 10.48550/arxiv.1004.4519 · pith_short_12: 62YA7BTKVKNQ · pith_short_16: 62YA7BTKVKNQSFZC · pith_short_8: 62YA7BTK

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/62YA7BTKVKNQSFZCLULPX237GY \
  | 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: f6b00f866aaa9b0917225d16fbeb7f36182d3dba0c667c41a42e4266f1bf4ede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cab6e61380802171a8cb80d55e45c66d5bcf34c08ee30534afc602993f57104",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-26T13:23:57Z",
    "title_canon_sha256": "65b0007895da033468f96cd996777ce93eeef9906a76a35703878246f3fbb413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4519",
    "kind": "arxiv",
    "version": 2
  }
}