Pith Number

pith:VIEB4LOH

pith:2012:VIEB4LOHC4PQDKHSK3G744WPSR

not attested not anchored not stored refs pending

Extending quantum operations

David Reeb, Maria A. Jivulescu, Michael M. Wolf, Teiko Heinosaari

arxiv:1205.0641 v3 · 2012-05-03 · 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{VIEB4LOHC4PQDKHSK3G744WPSR}

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.

Cited by

1 paper in Pith

Sufficiency and Petz recovery for positive maps

Receipt and verification

First computed	2026-05-18T03:42:33.846307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa081e2dc7171f01a8f256cdfe72cf945fa2661fa7ced5aaf83861d9d18f4f59

Aliases

arxiv: 1205.0641 · arxiv_version: 1205.0641v3 · doi: 10.48550/arxiv.1205.0641 · pith_short_12: VIEB4LOHC4PQ · pith_short_16: VIEB4LOHC4PQDKHS · pith_short_8: VIEB4LOH

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/VIEB4LOHC4PQDKHSK3G744WPSR \
  | 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: aa081e2dc7171f01a8f256cdfe72cf945fa2661fa7ced5aaf83861d9d18f4f59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e13bcb203e0e56131fb7f6534cc034ede0e9beb117081361a9dbf0e8f00b27",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-03T07:45:00Z",
    "title_canon_sha256": "084ba5593a4fe80cd1a8f2eab89df6b45dddf7500823886d08ec514ddb844254"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0641",
    "kind": "arxiv",
    "version": 3
  }
}