Pith Number

pith:2VXD7XCH

pith:2016:2VXD7XCH7RVPAATGWMGURW4FV2

not attested not anchored not stored refs pending

Volume of the space of qubit channels and some new results about the distribution of the quantum Dobrushin coefficient

Attila Andai, Attila Lovas

arxiv:1607.01215 v1 · 2016-07-05 · math-ph · math.MP · 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{2VXD7XCH7RVPAATGWMGURW4FV2}

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	2026-05-18T01:11:29.986295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d56e3fdc47fc6af00266b30d48db85aea3c809180b0ddc06d9bdf329582addfc

Aliases

arxiv: 1607.01215 · arxiv_version: 1607.01215v1 · doi: 10.48550/arxiv.1607.01215 · pith_short_12: 2VXD7XCH7RVP · pith_short_16: 2VXD7XCH7RVPAATG · pith_short_8: 2VXD7XCH

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/2VXD7XCH7RVPAATGWMGURW4FV2 \
  | 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: d56e3fdc47fc6af00266b30d48db85aea3c809180b0ddc06d9bdf329582addfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f22c94b905f162803af9f9782336c0e43835344e20a9a3171d08bb35df5d4fc9",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-07-05T12:14:56Z",
    "title_canon_sha256": "9beac533494352ceffeee8bd1802541b4a4d097edc89b8ecfd5bed687600e9af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01215",
    "kind": "arxiv",
    "version": 1
  }
}