Pith Number

pith:JRS4SBDW

pith:2013:JRS4SBDWBH3SMGMEANN2WQUZBX

not attested not anchored not stored refs pending

On the extinction of Continuous State Branching Processes with catastrophes

Cermics), Charline Smadi (CMAP, Juan Carlos Pardo Millan (CIMAT), Vincent Bansaye (CMAP)

arxiv:1301.6093 v3 · 2013-01-25 · 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{JRS4SBDWBH3SMGMEANN2WQUZBX}

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	2026-05-18T03:04:34.253334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c65c9047609f7261984035bab42990dc519928ab2ced868c88fa292d2570499

Aliases

arxiv: 1301.6093 · arxiv_version: 1301.6093v3 · doi: 10.48550/arxiv.1301.6093 · pith_short_12: JRS4SBDWBH3S · pith_short_16: JRS4SBDWBH3SMGME · pith_short_8: JRS4SBDW

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/JRS4SBDWBH3SMGMEANN2WQUZBX \
  | 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: 4c65c9047609f7261984035bab42990dc519928ab2ced868c88fa292d2570499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38380df45c250d5cf374e0d2a51ce40d9af91a562bb5c301ebf529e1e890d7e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-25T17:06:59Z",
    "title_canon_sha256": "a191ebce143d775a8e8f9a57f5f9b2374e8826c15ea66232eb178d6355203d30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6093",
    "kind": "arxiv",
    "version": 3
  }
}