Pith Number

pith:ZYVVPJWU

pith:2011:ZYVVPJWUK2R6534VEIDR7SMDTV

not attested not anchored not stored refs pending

The Dynamical Additivity And The Strong Dynamical Additivity Of Quantum Operations

Junde Wu, Lin Zhang

arxiv:1104.2193 v3 · 2011-04-12 · 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{ZYVVPJWUK2R6534VEIDR7SMDTV}

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	2026-05-18T04:10:08.794303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce2b57a6d456a3eeef9522071fc9839d5c2d280b65952741059086a17dc92232

Aliases

arxiv: 1104.2193 · arxiv_version: 1104.2193v3 · doi: 10.48550/arxiv.1104.2193 · pith_short_12: ZYVVPJWUK2R6 · pith_short_16: ZYVVPJWUK2R6534V · pith_short_8: ZYVVPJWU

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/ZYVVPJWUK2R6534VEIDR7SMDTV \
  | 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: ce2b57a6d456a3eeef9522071fc9839d5c2d280b65952741059086a17dc92232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "740745b153937f779f6e303f8f2e6cda8b7734fb0087b1d249833064c922cd9d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-12T12:40:01Z",
    "title_canon_sha256": "08b1f9e286234de21cf55c761b6b9d2224716db9ad6b1e4d0f76b705c0f9d2c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2193",
    "kind": "arxiv",
    "version": 3
  }
}