Pith Number

pith:Q7EF562I

pith:2011:Q7EF562IZ7ELL3O7WWG26SOTIB

not attested not anchored not stored refs pending

Numerical method for expectations of piecewise-determistic Markov processes

Adrien Brandejsky, Beno\^ite de Saporta, Fran\c{c}ois Dufour

arxiv:1105.0839 v2 · 2011-05-04 · 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{Q7EF562IZ7ELL3O7WWG26SOTIB}

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	2026-05-18T04:03:43.200800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87c85efb48cfc8b5eddfb58daf49d34064069c3761edfd2d740b98de52260f0b

Aliases

arxiv: 1105.0839 · arxiv_version: 1105.0839v2 · doi: 10.48550/arxiv.1105.0839 · pith_short_12: Q7EF562IZ7EL · pith_short_16: Q7EF562IZ7ELL3O7 · pith_short_8: Q7EF562I

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/Q7EF562IZ7ELL3O7WWG26SOTIB \
  | 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: 87c85efb48cfc8b5eddfb58daf49d34064069c3761edfd2d740b98de52260f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b13bdefe1a4464a26a161011ad1e62a4c9060bd18b525f2813f90e7d3a03cdc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-04T14:34:12Z",
    "title_canon_sha256": "eeeec92cc6ac255a42e5a19cbe65dccd7a39aebd27c5297ca847a8ec8ea2a10f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0839",
    "kind": "arxiv",
    "version": 2
  }
}