Pith Number

pith:YIXCWGYI

pith:2013:YIXCWGYIGMNO2TPPNU7YVOMSZQ

not attested not anchored not stored refs pending

Ergodic Properties of Quantum Birth and Death Chains

Andreas G\"artner, Burkhard K\"ummerer, David B\"ucher, Kay Schwieger, Nadiem Sissouno, Walter Reu{\ss}wig

arxiv:1306.3776 v1 · 2013-06-17 · math.OA · 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{YIXCWGYIGMNO2TPPNU7YVOMSZQ}

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	2026-05-18T03:20:46.478640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c22e2b1b08331aed4def6d3f8ab992cc239124b59560c54d41c9335d4792b6ab

Aliases

arxiv: 1306.3776 · arxiv_version: 1306.3776v1 · doi: 10.48550/arxiv.1306.3776 · pith_short_12: YIXCWGYIGMNO · pith_short_16: YIXCWGYIGMNO2TPP · pith_short_8: YIXCWGYI

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/YIXCWGYIGMNO2TPPNU7YVOMSZQ \
  | 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: c22e2b1b08331aed4def6d3f8ab992cc239124b59560c54d41c9335d4792b6ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20bc4e93ccfc1dba1e02df5ac53f565f5749409f704bcf145130f03f089b68b2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-06-17T08:58:51Z",
    "title_canon_sha256": "eed89806359d0edc323d41d10ad148a783ef793d84d7612443d7176419b94665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3776",
    "kind": "arxiv",
    "version": 1
  }
}