Pith Number

pith:GLX3NVWZ

pith:2012:GLX3NVWZXOPGO3FORWO6BSH7HV

not attested not anchored not stored refs pending

Reversibility conditions for quantum channels and their applications

M.E. Shirokov

arxiv:1203.0262 v3 · 2012-03-01 · 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{GLX3NVWZXOPGO3FORWO6BSH7HV}

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	2026-05-18T01:58:16.060161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32efb6d6d9bb9e676cae8d9de0c8ff3d6d6ec004dd1cbdf5bbdabe028bc0d0a6

Aliases

arxiv: 1203.0262 · arxiv_version: 1203.0262v3 · doi: 10.48550/arxiv.1203.0262 · pith_short_12: GLX3NVWZXOPG · pith_short_16: GLX3NVWZXOPGO3FO · pith_short_8: GLX3NVWZ

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/GLX3NVWZXOPGO3FORWO6BSH7HV \
  | 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: 32efb6d6d9bb9e676cae8d9de0c8ff3d6d6ec004dd1cbdf5bbdabe028bc0d0a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "505771a188c3cb4596c2b817e9ddcd12f5a8a44152554c3a2ce1d82c8909e594",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-03-01T18:29:58Z",
    "title_canon_sha256": "78912902461173154b3dbe2e91db0317f0d7948cc08ce52a69d45cdf85888271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0262",
    "kind": "arxiv",
    "version": 3
  }
}