Pith Number

pith:2255URK7

pith:2010:2255URK7MQIOAV6DMQRFRV22K6

not attested not anchored not stored refs pending

Intertwining and commutation relations for birth-death processes

Ald\'eric Joulin, Djalil Chafa\"i

arxiv:1011.2331 v4 · 2010-11-10 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2255URK7MQIOAV6DMQRFRV22K6}

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	2026-05-18T03:05:07.884456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6bbda455f6410e057c3642258d75a57b5a97b9f99f47bf8bfc7c858585e2bbb

Aliases

arxiv: 1011.2331 · arxiv_version: 1011.2331v4 · doi: 10.48550/arxiv.1011.2331 · pith_short_12: 2255URK7MQIO · pith_short_16: 2255URK7MQIOAV6D · pith_short_8: 2255URK7

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/2255URK7MQIOAV6DMQRFRV22K6 \
  | 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: d6bbda455f6410e057c3642258d75a57b5a97b9f99f47bf8bfc7c858585e2bbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3da30833a1345ac7b83a9cbf8501946130e664faeca5e38262244153457d3e00",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-10T10:06:46Z",
    "title_canon_sha256": "bb7e09f6609862909d553ddd5931d44f43d396b351718bead345fbdb3a67c84b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2331",
    "kind": "arxiv",
    "version": 4
  }
}