Pith Number

pith:7DHJ6C36

pith:2012:7DHJ6C36TJKMJYJQALQBOF6JVQ

not attested not anchored not stored refs pending

Exposed positive maps in M_4(C)

Dariusz Chru\'sci\'nski, Gniewomir Sarbicki

arxiv:1204.3109 v1 · 2012-04-13 · 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{7DHJ6C36TJKMJYJQALQBOF6JVQ}

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	2026-05-18T03:34:35.597584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ce9f0b7e9a54c4e13002e01717c9ac18ac5ace2c5d6f5ae224d10d6060c34e

Aliases

arxiv: 1204.3109 · arxiv_version: 1204.3109v1 · doi: 10.48550/arxiv.1204.3109 · pith_short_12: 7DHJ6C36TJKM · pith_short_16: 7DHJ6C36TJKMJYJQ · pith_short_8: 7DHJ6C36

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/7DHJ6C36TJKMJYJQALQBOF6JVQ \
  | 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: f8ce9f0b7e9a54c4e13002e01717c9ac18ac5ace2c5d6f5ae224d10d6060c34e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eb952e6bdeb228e07de79c72166b5d35abe12d5a8633f62c356cdd842faa1aa",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-13T21:20:17Z",
    "title_canon_sha256": "6c4c8c45dbaf2d4d24f94f2a2c23d66227ee4b4e353ff4f0edd080a9e2f0883a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3109",
    "kind": "arxiv",
    "version": 1
  }
}