Pith Number

pith:5WDPQQ3Z

pith:2011:5WDPQQ3Z7AVPSMOA7JTPSMHPFR

not attested not anchored not stored refs pending

Von Neumann Entropy-Preserving Quantum Operations

Junde Wu, Lin Zhang

arxiv:1104.2992 v4 · 2011-04-15 · quant-ph · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WDPQQ3Z7AVPSMOA7JTPSMHPFR}

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	2026-05-18T04:10:10.431717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed86f84379f82af931c0fa66f930ef2c61969fb845bfa8061e88fd98214f489f

Aliases

arxiv: 1104.2992 · arxiv_version: 1104.2992v4 · doi: 10.48550/arxiv.1104.2992 · pith_short_12: 5WDPQQ3Z7AVP · pith_short_16: 5WDPQQ3Z7AVPSMOA · pith_short_8: 5WDPQQ3Z

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/5WDPQQ3Z7AVPSMOA7JTPSMHPFR \
  | 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: ed86f84379f82af931c0fa66f930ef2c61969fb845bfa8061e88fd98214f489f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9176d5f6db99a3620af334d8bc729111dbb385203e8b2029d81571992390e95f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-15T09:04:35Z",
    "title_canon_sha256": "28fdd1741a30a8068af80a7a2b901817d9173e72909c59af9b02afbcfe9cbf9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2992",
    "kind": "arxiv",
    "version": 4
  }
}