Pith Number

pith:UXUEJ24B

pith:2026:UXUEJ24BSXYNIVY7JPVRF6PQD2

not attested not anchored not stored refs pending

Markov Renewal Theory for Transfer Operators and Point Processes on the Line

Markus Heydenreich, Sabine Jansen, Yoon Jun Chan

arxiv:2605.21638 v1 · 2026-05-20 · math.PR · 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{UXUEJ24BSXYNIVY7JPVRF6PQD2}

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	2026-05-22T01:03:26.428511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5e844eb8195f0d4571f4beb12f9f01e9f0d55846dd03f1e8adc5b5c2207ccd5

Aliases

arxiv: 2605.21638 · arxiv_version: 2605.21638v1 · doi: 10.48550/arxiv.2605.21638 · pith_short_12: UXUEJ24BSXYN · pith_short_16: UXUEJ24BSXYNIVY7 · pith_short_8: UXUEJ24B

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/UXUEJ24BSXYNIVY7JPVRF6PQD2 \
  | 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: a5e844eb8195f0d4571f4beb12f9f01e9f0d55846dd03f1e8adc5b5c2207ccd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd6205bfad4111855fda8520d4621c701ac7fd50d07f8715788b17c2c3e0575",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-20T18:50:05Z",
    "title_canon_sha256": "3521cae6b08cd563fef34445746e31d36431b6e7239d90877d7daafc19c8aadf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21638",
    "kind": "arxiv",
    "version": 1
  }
}