Pith Number

pith:MAYKBK2X

pith:2012:MAYKBK2X7DFQBZORUVDJHVDJ6Z

not attested not anchored not stored refs pending

Completely positive maps on modules, instruments, extremality problems, and applications to physics

Juha-Pekka Pellonp\"a\"a

arxiv:1202.5905 v1 · 2012-02-27 · 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{MAYKBK2X7DFQBZORUVDJHVDJ6Z}

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	2026-05-18T02:57:15.170931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6030a0ab57f8cb00e5d1a54693d469f643d029f0d438f5ba5193cc30762486cf

Aliases

arxiv: 1202.5905 · arxiv_version: 1202.5905v1 · doi: 10.48550/arxiv.1202.5905 · pith_short_12: MAYKBK2X7DFQ · pith_short_16: MAYKBK2X7DFQBZOR · pith_short_8: MAYKBK2X

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/MAYKBK2X7DFQBZORUVDJHVDJ6Z \
  | 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: 6030a0ab57f8cb00e5d1a54693d469f643d029f0d438f5ba5193cc30762486cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f422137d41caf35ddb0d6c0f5b20dd843428cea4b7075a3086136295032f0b1",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-02-27T12:17:37Z",
    "title_canon_sha256": "12bb5536c8a06e46febfcbea30b0d0da90fbdd82ceefcb731c7b0105b41606bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5905",
    "kind": "arxiv",
    "version": 1
  }
}