Pith Number

pith:CJNP3LB3

pith:2026:CJNP3LB3ME6JU7LYZXKA5OQMIK

not attested not anchored not stored refs pending

A Pathwise Approach to the Strong Feller Property and Irreducibility of Nonlinear Branching Processes

Pei-Sen Li, Xiangqi Zheng, Xiaowen Zhou

arxiv:2606.24821 v1 · 2026-06-23 · 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{CJNP3LB3ME6JU7LYZXKA5OQMIK}

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	2026-06-24T01:15:43.256482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

125afdac3b613c9a7d78cdd40eba0c429469027de5687f764f7440fb9432fbec

Aliases

arxiv: 2606.24821 · arxiv_version: 2606.24821v1 · doi: 10.48550/arxiv.2606.24821 · pith_short_12: CJNP3LB3ME6J · pith_short_16: CJNP3LB3ME6JU7LY · pith_short_8: CJNP3LB3

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/CJNP3LB3ME6JU7LYZXKA5OQMIK \
  | 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: 125afdac3b613c9a7d78cdd40eba0c429469027de5687f764f7440fb9432fbec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eaccec5ed51dc427ce30461c2d18adf9d5a206fc5d6b33aefbf4c389778b991",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-23T17:05:57Z",
    "title_canon_sha256": "ce3d87643a94edbc0c54225067c38f45380587cf9253024352d5809f75c9e879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24821",
    "kind": "arxiv",
    "version": 1
  }
}