Pith Number

pith:4JHTRJUX

pith:2016:4JHTRJUX2EKEU6MNEYSMPUCJHR

not attested not anchored not stored refs pending

Extinction properties of multi-type continuous-state branching processes

Andreas Kyprianou, Sandra Palau

arxiv:1604.04129 v3 · 2016-04-14 · 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{4JHTRJUX2EKEU6MNEYSMPUCJHR}

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	2026-05-18T00:25:21.451382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e24f38a697d1144a798d2624c7d0493c4610aa1d70d48b5de755c27db614cbf0

Aliases

arxiv: 1604.04129 · arxiv_version: 1604.04129v3 · doi: 10.48550/arxiv.1604.04129 · pith_short_12: 4JHTRJUX2EKE · pith_short_16: 4JHTRJUX2EKEU6MN · pith_short_8: 4JHTRJUX

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/4JHTRJUX2EKEU6MNEYSMPUCJHR \
  | 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: e24f38a697d1144a798d2624c7d0493c4610aa1d70d48b5de755c27db614cbf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce71b3f56bf3df50479dcaf082b31013307cfabb171b356dfe2c3219417ca9f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-14T12:18:49Z",
    "title_canon_sha256": "41f544fffd2fcca78a51bc016fd1f7e4982496cd3745fb7fddabc1bb1bab8c98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04129",
    "kind": "arxiv",
    "version": 3
  }
}