Pith Number

pith:NFUUSVZT

pith:2010:NFUUSVZTCUXLT3ZZAUBH3WL6O5

not attested not anchored not stored refs pending

On some ergodicity properties for time inhomogeneous Markov processes with $T$-periodic semigroup

Eva Loecherbach, Reinhard Hoepfner

arxiv:1012.4916 v3 · 2010-12-22 · 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{NFUUSVZTCUXLT3ZZAUBH3WL6O5}

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	2026-05-18T04:27:16.072803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6969495733152eb9ef3905027dd97e7743a221e76d5ab3a559ad8745e2fd922e

Aliases

arxiv: 1012.4916 · arxiv_version: 1012.4916v3 · doi: 10.48550/arxiv.1012.4916 · pith_short_12: NFUUSVZTCUXL · pith_short_16: NFUUSVZTCUXLT3ZZ · pith_short_8: NFUUSVZT

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/NFUUSVZTCUXLT3ZZAUBH3WL6O5 \
  | 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: 6969495733152eb9ef3905027dd97e7743a221e76d5ab3a559ad8745e2fd922e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d418c14343a53c8d8d7606eda1f79c3a6c58ddb14c77ab6e72835e61019ab35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-22T09:35:39Z",
    "title_canon_sha256": "4a0d694139ed8470efb25e7d2474bdf6e90ee25ad7cbe7d2ce1569cf306cc610"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4916",
    "kind": "arxiv",
    "version": 3
  }
}