Pith Number

pith:Z2KZBSOI

pith:2011:Z2KZBSOIDEWYKRG5IICZMFUF4C

not attested not anchored not stored refs pending

Almost sure convergence of numerical approximations for Piecewise Deterministic Markov Processes

Martin G. Riedler

arxiv:1112.1190 v1 · 2011-12-06 · math.NA · 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{Z2KZBSOIDEWYKRG5IICZMFUF4C}

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	2026-05-18T04:06:56.048385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce9590c9c8192d8544dd4205961685e093a257da5bbb4f345c60768f2b4915b9

Aliases

arxiv: 1112.1190 · arxiv_version: 1112.1190v1 · doi: 10.48550/arxiv.1112.1190 · pith_short_12: Z2KZBSOIDEWY · pith_short_16: Z2KZBSOIDEWYKRG5 · pith_short_8: Z2KZBSOI

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/Z2KZBSOIDEWYKRG5IICZMFUF4C \
  | 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: ce9590c9c8192d8544dd4205961685e093a257da5bbb4f345c60768f2b4915b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc13ed5845dbca32ef9467373288153d2c60890a6cc15a1d3938dcbc55133c21",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-12-06T08:28:08Z",
    "title_canon_sha256": "daef1f642bd2d194ca9298700bcd8e913fda50a0d5127e5cc5d694eddfbc433b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1190",
    "kind": "arxiv",
    "version": 1
  }
}