Pith Number

pith:MJ4S5FMP

pith:2018:MJ4S5FMPVVVDW4TUMDX2V3BTTU

not attested not anchored not stored refs pending

Smoothness of continuous state branching with immigration semigroups

Marie Chazal, Pierre Patie, Ronnie L. Loeffen

arxiv:1806.00507 v1 · 2018-06-01 · math.PR · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJ4S5FMPVVVDW4TUMDX2V3BTTU}

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	2026-05-17T23:45:04.655986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62792e958fad6a3b727460efaaec339d1cd62551a241c7a6abc0ab46573587c4

Aliases

arxiv: 1806.00507 · arxiv_version: 1806.00507v1 · doi: 10.48550/arxiv.1806.00507 · pith_short_12: MJ4S5FMPVVVD · pith_short_16: MJ4S5FMPVVVDW4TU · pith_short_8: MJ4S5FMP

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/MJ4S5FMPVVVDW4TUMDX2V3BTTU \
  | 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: 62792e958fad6a3b727460efaaec339d1cd62551a241c7a6abc0ab46573587c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "638ebdcafa3bc483cefe0518f0485d7b82c7b84cc644c161f05b3f8ec08a2653",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-01T18:51:51Z",
    "title_canon_sha256": "4a98279508de6409145b74532bcac0d09c6ea5f582a6e95f8742951f79489a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00507",
    "kind": "arxiv",
    "version": 1
  }
}