Pith Number

pith:2AP55EZB

pith:2012:2AP55EZBI7FD3VONYSZE5GRK5M

not attested not anchored not stored refs pending

Qualitative properties of certain piecewise deterministic Markov processes

Florent Malrieu (IRMAR, LAMA), LMPT), Michel Bena\"im (UNINE), Pierre-Andr\'e Zitt (IMB, St\'ephane Le Borgne (IRMAR)

arxiv:1204.4143 v4 · 2012-04-18 · math.PR · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AP55EZBI7FD3VONYSZE5GRK5M}

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	2026-05-18T02:54:47.331378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d01fde932147ca3dd5cdc4b24e9a2aeb35fa15e70550c9536487bbbb14013b40

Aliases

arxiv: 1204.4143 · arxiv_version: 1204.4143v4 · doi: 10.48550/arxiv.1204.4143 · pith_short_12: 2AP55EZBI7FD · pith_short_16: 2AP55EZBI7FD3VON · pith_short_8: 2AP55EZB

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/2AP55EZBI7FD3VONYSZE5GRK5M \
  | 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: d01fde932147ca3dd5cdc4b24e9a2aeb35fa15e70550c9536487bbbb14013b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ee1fdc1c7bcd2b5d8f324999c4c2bddfe117e6778eed85a760abe89bb025965",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-18T17:13:19Z",
    "title_canon_sha256": "7ddd05e4be55eef4fc3694d9741630f9a17f38da5ad6632f083273042c6102a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4143",
    "kind": "arxiv",
    "version": 4
  }
}