Pith Number

pith:MKWMFWDG

pith:2012:MKWMFWDGQPG5J4PH7OUQLG2LUJ

not attested not anchored not stored refs pending

Reversibility of a quantum channel: general conditions and their applications to Bosonic linear channels

M.E. Shirokov

arxiv:1212.2354 v6 · 2012-12-11 · quant-ph · math-ph · math.FA · 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{MKWMFWDGQPG5J4PH7OUQLG2LUJ}

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	2026-05-18T03:07:34.555259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62acc2d86683cdd4f1e7fba9059b4ba254586473affa118a5a04ca03418c5b6e

Aliases

arxiv: 1212.2354 · arxiv_version: 1212.2354v6 · doi: 10.48550/arxiv.1212.2354 · pith_short_12: MKWMFWDGQPG5 · pith_short_16: MKWMFWDGQPG5J4PH · pith_short_8: MKWMFWDG

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/MKWMFWDGQPG5J4PH7OUQLG2LUJ \
  | 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: 62acc2d86683cdd4f1e7fba9059b4ba254586473affa118a5a04ca03418c5b6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa8fcfff5185108cb3b1671403a3f7680ab2d44a0cedbe1aa302c035b541657b",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-12-11T09:43:02Z",
    "title_canon_sha256": "6517ffa173d265b63e1de326d7a35c9aeb2e8f761a3ad6a7823cc360870adfd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2354",
    "kind": "arxiv",
    "version": 6
  }
}