Pith Number

pith:VMRDWOJS

pith:2011:VMRDWOJS2YQHQP35RLZO4Q6KX7

not attested not anchored not stored refs pending

Remark on Entropic Characterization of Quantum Operations

Lin Zhang

arxiv:1103.3557 v3 · 2011-03-18 · quant-ph · 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{VMRDWOJS2YQHQP35RLZO4Q6KX7}

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	2026-05-18T04:10:08.837218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab223b3932d620783f7d8af2ee43cabfe9ce28e6a412bf9890b045256280d9d2

Aliases

arxiv: 1103.3557 · arxiv_version: 1103.3557v3 · doi: 10.48550/arxiv.1103.3557 · pith_short_12: VMRDWOJS2YQH · pith_short_16: VMRDWOJS2YQHQP35 · pith_short_8: VMRDWOJS

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/VMRDWOJS2YQHQP35RLZO4Q6KX7 \
  | 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: ab223b3932d620783f7d8af2ee43cabfe9ce28e6a412bf9890b045256280d9d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a86d1618400fbd146bc5dc3884035ddf3b3a85154dae13862ff7a98279b01181",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-03-18T05:51:55Z",
    "title_canon_sha256": "11ed6d2ce8db350a5687839eeb11f599ff9bc60c0b153e3b89307c31250ad079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3557",
    "kind": "arxiv",
    "version": 3
  }
}