Pith Number

pith:L2LIZK4E

pith:2026:L2LIZK4EPCAIT5XWB2XAFMF4AL

not attested not anchored not stored refs pending

Continuous-state branching processes with L\'evy-Khintchine drift-interaction: Laplace duality and Fellerian extensions

Cl\'ement Foucart, F\'elix Rebotier

Lévy-Khintchine drift in continuous-state branching processes induces a Laplace duality that exchanges branching and interaction mechanisms.

arxiv:2605.06488 v2 · 2026-05-07 · 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{L2LIZK4EPCAIT5XWB2XAFMF4AL}

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.

Claims

C1strongest claim

The Lévy-Khintchine form of the drift induces a Laplace duality expressing the Laplace transform of a CBDI process in terms of that of another CBDI process in which the branching and drift-interaction mechanisms are exchanged. The process stopped upon hitting 0 or ∞ is uniquely characterized in law by these mechanisms.

C2weakest assumption

That the interaction is of Lévy-Khintchine type drift, allowing the duality to hold, and that the process can be extended Fellerianly when drift is non-Lipschitz and sufficiently strong at boundaries.

C3one line summary

CBDI processes admit Laplace duality swapping branching and drift-interaction, enabling unique characterization and Fellerian extensions that determine entrance, exit, or regular boundary behaviors at 0 and infinity.

Receipt and verification

First computed	2026-05-21T02:05:04.343631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e968cab84788089f6f60eae02b0bc02cd75b6f48996353d567844f94da612cc

Aliases

arxiv: 2605.06488 · arxiv_version: 2605.06488v2 · doi: 10.48550/arxiv.2605.06488 · pith_short_12: L2LIZK4EPCAI · pith_short_16: L2LIZK4EPCAIT5XW · pith_short_8: L2LIZK4E

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/L2LIZK4EPCAIT5XWB2XAFMF4AL \
  | 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: 5e968cab84788089f6f60eae02b0bc02cd75b6f48996353d567844f94da612cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "220af496959bcefd144fbc479fa24af94540c2c78f8f3ec2f6d691bb9d68268e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-07T16:09:14Z",
    "title_canon_sha256": "47f24faa55a17db480e5d36c9aadca16956b9ef34cf36d07a8407e10727e0f3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.06488",
    "kind": "arxiv",
    "version": 2
  }
}