Pith Number

pith:C7QGUL2D

pith:2004:C7QGUL2D45VNG73EEII7K3ZJTD

not attested not anchored not stored refs pending

Uniform Markov Renewal Theory and Ruin Probabilities in Markov Random Walks

Cheng-Der Fuh

arxiv:math/0407140 v1 · 2004-07-08 · 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{C7QGUL2D45VNG73EEII7K3ZJTD}

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	2026-05-18T01:05:26.188697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17e06a2f43e76ad37f642211f56f2998f39cc7ae9e06b66ca18601d62712694b

Aliases

arxiv: math/0407140 · arxiv_version: math/0407140v1 · doi: 10.48550/arxiv.math/0407140 · pith_short_12: C7QGUL2D45VN · pith_short_16: C7QGUL2D45VNG73E · pith_short_8: C7QGUL2D

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/C7QGUL2D45VNG73EEII7K3ZJTD \
  | 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: 17e06a2f43e76ad37f642211f56f2998f39cc7ae9e06b66ca18601d62712694b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b00c4b4951fd3c9dc65b16087ffa6742b59ad1ff580efecb57fd645430593322",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-07-08T14:41:23Z",
    "title_canon_sha256": "b61ed3df0f571c34c6683b2a51ff31ff71718882dbfee032fab7bbb77d2c6117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407140",
    "kind": "arxiv",
    "version": 1
  }
}