Pith Number

pith:3GGFSL3Y

pith:2011:3GGFSL3YQCKEUJMML3SJU5DU2C

not attested not anchored not stored refs pending

Averaging for a Fully-Coupled Piecewise Deterministic Markov Process in Infinite Dimension

Alexandre Genadot, Mich\`ele Thieullen

arxiv:1109.6581 v2 · 2011-09-29 · 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{3GGFSL3YQCKEUJMML3SJU5DU2C}

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	2026-05-18T03:52:12.221245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d98c592f7880944a258c5ee49a7474d0b1c9a6d6573be9bf082168a7272b4940

Aliases

arxiv: 1109.6581 · arxiv_version: 1109.6581v2 · doi: 10.48550/arxiv.1109.6581 · pith_short_12: 3GGFSL3YQCKE · pith_short_16: 3GGFSL3YQCKEUJMM · pith_short_8: 3GGFSL3Y

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/3GGFSL3YQCKEUJMML3SJU5DU2C \
  | 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: d98c592f7880944a258c5ee49a7474d0b1c9a6d6573be9bf082168a7272b4940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18dda61be48d6f5f889db1bb29cf0d7d5d4800c75a9088784f5d0cf05aa74040",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-29T16:32:26Z",
    "title_canon_sha256": "ba52be7e24ef19971bd3a215ad9a660baf96e53a7b4679c618c317c6027253b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6581",
    "kind": "arxiv",
    "version": 2
  }
}