Pith Number

pith:72ODLPEZ

pith:2014:72ODLPEZZLMS65CM7NFODDNQ34

not attested not anchored not stored refs pending

On a class of quantum channels, open random walks and recurrence

Carlos F. Lardizabal, Rafael R. Souza

arxiv:1402.0483 v4 · 2014-02-03 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72ODLPEZZLMS65CM7NFODDNQ34}

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	2026-05-18T01:38:54.401050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9c35bc99cad92f744cfb4ae18db0df0ca8b6349ae88ee45e296b61dc49a66b

Aliases

arxiv: 1402.0483 · arxiv_version: 1402.0483v4 · doi: 10.48550/arxiv.1402.0483 · pith_short_12: 72ODLPEZZLMS · pith_short_16: 72ODLPEZZLMS65CM · pith_short_8: 72ODLPEZ

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/72ODLPEZZLMS65CM7NFODDNQ34 \
  | 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: fe9c35bc99cad92f744cfb4ae18db0df0ca8b6349ae88ee45e296b61dc49a66b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "271aee89994e5b66647c382e076ced38f4417630d1a32712b6acd0321544b27a",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-02-03T19:46:36Z",
    "title_canon_sha256": "33d0b9c8f2cd89b9e354a4d4979846396cf650dc776bba34229a9888839dbb0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0483",
    "kind": "arxiv",
    "version": 4
  }
}