Pith Number

pith:OJL45QKP

pith:2012:OJL45QKPD5GWHYMUNYUOGMJDLI

not attested not anchored not stored refs pending

A class of exposed indecomposable positive maps

Dariusz Chru\'sci\'nski, Gniewomir Sarbicki

arxiv:1201.5995 v3 · 2012-01-28 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OJL45QKPD5GWHYMUNYUOGMJDLI}

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	2026-05-18T03:38:56.141025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7257cec14f1f4d63e1946e28e331235a01b28707fa413befd3e69245bb37a2cd

Aliases

arxiv: 1201.5995 · arxiv_version: 1201.5995v3 · doi: 10.48550/arxiv.1201.5995 · pith_short_12: OJL45QKPD5GW · pith_short_16: OJL45QKPD5GWHYMU · pith_short_8: OJL45QKP

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/OJL45QKPD5GWHYMUNYUOGMJDLI \
  | 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: 7257cec14f1f4d63e1946e28e331235a01b28707fa413befd3e69245bb37a2cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8877c88181f8fc01bd42e4c27d1c35d8cf568e1e171965cde9cbbfcc8a72e2f1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-01-28T20:46:11Z",
    "title_canon_sha256": "5cea69da0f04909190d6a59e453bb40109f0ba010315ae0fb609def240646e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5995",
    "kind": "arxiv",
    "version": 3
  }
}