Pith Number

pith:M7ZDYUNU

pith:2011:M7ZDYUNUIP3EUOW6HJ2WG47ZWG

not attested not anchored not stored refs pending

Entropic characterization of quantum operations

Karol Zyczkowski, Mark Fannes, Wojciech Roga

arxiv:1101.4105 v1 · 2011-01-21 · 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{M7ZDYUNUIP3EUOW6HJ2WG47ZWG}

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	2026-05-18T04:15:04.115000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67f23c51b443f64a3ade3a756373f9b1b27b2fd8d5f96cddca69900a4dfe97c6

Aliases

arxiv: 1101.4105 · arxiv_version: 1101.4105v1 · doi: 10.48550/arxiv.1101.4105 · pith_short_12: M7ZDYUNUIP3E · pith_short_16: M7ZDYUNUIP3EUOW6 · pith_short_8: M7ZDYUNU

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/M7ZDYUNUIP3EUOW6HJ2WG47ZWG \
  | 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: 67f23c51b443f64a3ade3a756373f9b1b27b2fd8d5f96cddca69900a4dfe97c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c334fd6747335ea00f0c6708e46d6ce832969848416e8fe5d8b0c662e6b34a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-01-21T10:23:14Z",
    "title_canon_sha256": "7ceac5ec2eed39d68f390e8bdde7b147b78c146ebcb0f40d4befd99c0a9056af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4105",
    "kind": "arxiv",
    "version": 1
  }
}