Pith Number

pith:WFPV5MUB

pith:2016:WFPV5MUBXEG4HB6Z7YVGVFOKL6

not attested not anchored not stored refs pending

Necessary and Sufficient Conditions for Convergence of First-Rare-Event Times for Perturbed Semi-Markov Processes

Dmitrii Silvestrov

arxiv:1603.04344 v1 · 2016-03-14 · 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{WFPV5MUBXEG4HB6Z7YVGVFOKL6}

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	2026-05-18T01:19:06.960424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b15f5eb281b90dc387d9fe2a6a95ca5f889c040065507e0b543b94ca3505da85

Aliases

arxiv: 1603.04344 · arxiv_version: 1603.04344v1 · doi: 10.48550/arxiv.1603.04344 · pith_short_12: WFPV5MUBXEG4 · pith_short_16: WFPV5MUBXEG4HB6Z · pith_short_8: WFPV5MUB

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/WFPV5MUBXEG4HB6Z7YVGVFOKL6 \
  | 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: b15f5eb281b90dc387d9fe2a6a95ca5f889c040065507e0b543b94ca3505da85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53c2e1f86d19500e5300da997d8d949ecac02e388aeb3b0842e388627d4fa7fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-14T16:56:58Z",
    "title_canon_sha256": "54f76d69a146d0e7bf0e906ff47402140960b2646b457c024bbf64da57dc4eb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04344",
    "kind": "arxiv",
    "version": 1
  }
}