Pith Number

pith:Z2NOFVLA

pith:2013:Z2NOFVLAH4PUPTWRL6XE5WADXC

not attested not anchored not stored refs pending

On the convergence of output sets of quantum channels

Benoit Collins, Ion Nechita, Motohisa Fukuda

arxiv:1311.7571 v1 · 2013-11-29 · math-ph · math.MP · math.OA · math.PR · 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{Z2NOFVLAH4PUPTWRL6XE5WADXC}

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	2026-05-18T01:30:15.699139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce9ae2d5603f1f47ced15fae4ed803b8bca1169655167a4eade008d5c42102ad

Aliases

arxiv: 1311.7571 · arxiv_version: 1311.7571v1 · doi: 10.48550/arxiv.1311.7571 · pith_short_12: Z2NOFVLAH4PU · pith_short_16: Z2NOFVLAH4PUPTWR · pith_short_8: Z2NOFVLA

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/Z2NOFVLAH4PUPTWRL6XE5WADXC \
  | 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: ce9ae2d5603f1f47ced15fae4ed803b8bca1169655167a4eade008d5c42102ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84f598f95ab4ec01a87d0661fab47775a2f509e162f56089df9a6351e11f2dd3",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-29T14:09:21Z",
    "title_canon_sha256": "3fda62eb35b30990ff3e20665e99ce34f108d91609be67e0fe158bf2207e3872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7571",
    "kind": "arxiv",
    "version": 1
  }
}