Pith Number

pith:ASPV5AM7

pith:2015:ASPV5AM7MDJB3UYIWQ76HB4QLI

not attested not anchored not stored refs pending

A class of bistochastic positive optimal maps in $M_d(\mathbb{C})$

Adam Rutkowski, Dariusz Chru\'sci\'nski, Gniewomir Sarbicki

arxiv:1505.07854 v2 · 2015-05-28 · 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{ASPV5AM7MDJB3UYIWQ76HB4QLI}

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	2026-05-18T01:23:12.238073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

049f5e819f60d21dd308b43fe387905a295af80ab58d4978d8539f12caa98134

Aliases

arxiv: 1505.07854 · arxiv_version: 1505.07854v2 · doi: 10.48550/arxiv.1505.07854 · pith_short_12: ASPV5AM7MDJB · pith_short_16: ASPV5AM7MDJB3UYI · pith_short_8: ASPV5AM7

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/ASPV5AM7MDJB3UYIWQ76HB4QLI \
  | 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: 049f5e819f60d21dd308b43fe387905a295af80ab58d4978d8539f12caa98134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a5498cfc4874a6e83c6901034035e541195e6a7d66c4a3e9d5d8d081665ad5b",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-05-28T20:39:13Z",
    "title_canon_sha256": "4b6966f15d3cd266e132c08ee8d50ccd9f213d4679214fdcc6712c1746d5172c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07854",
    "kind": "arxiv",
    "version": 2
  }
}