Pith Number

pith:CDMWEDCD

pith:2011:CDMWEDCDL5UV4PWCN25SYMBS7K

not attested not anchored not stored refs pending

Towards a state minimizing the output entropy of a tensor product of random quantum channels

Benoit Collins, Ion Nechita, Motohisa Fukuda

arxiv:1111.6269 v1 · 2011-11-27 · math-ph · math.MP · 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{CDMWEDCDL5UV4PWCN25SYMBS7K}

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	2026-05-17T23:52:44.941282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10d9620c435f695e3ec26ebb2c3032fa8962e69b8654fc7b04ccff7e6fc2dd65

Aliases

arxiv: 1111.6269 · arxiv_version: 1111.6269v1 · doi: 10.48550/arxiv.1111.6269 · pith_short_12: CDMWEDCDL5UV · pith_short_16: CDMWEDCDL5UV4PWC · pith_short_8: CDMWEDCD

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/CDMWEDCDL5UV4PWCN25SYMBS7K \
  | 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: 10d9620c435f695e3ec26ebb2c3032fa8962e69b8654fc7b04ccff7e6fc2dd65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "130cbb799c368124fe51c18a99c79d66bed7b6b8a03cb6d688d9a1b5e211b706",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-27T16:00:54Z",
    "title_canon_sha256": "ea1de37d80c16d0709b3a4ef303165d06e9feba217d7af273b20b29fbff0f972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6269",
    "kind": "arxiv",
    "version": 1
  }
}