Pith Number

pith:6L4MHCVI

pith:2024:6L4MHCVIANC73XNYSMHFMNYYJK

not attested not anchored not stored refs pending

Stability of (sub)critical non-local spatial branching processes with and without immigration

Andreas E. Kyprianou, Ellen Powell, Emma Horton, Pedro Mart\'in-Ch\'avez, Victor Rivero

arxiv:2407.05472 v1 · 2024-07-07 · math.PR

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\usepackage{pith}
\pithnumber{6L4MHCVIANC73XNYSMHFMNYYJK}

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Record completeness

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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.

Cited by

1 paper in Pith

More on the asymptotic behaviour of moments of branching Markov processes

Receipt and verification

First computed	2026-07-05T08:41:13.870532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f8c38aa80345fdddb8930e5637184ab28c7b3bf74f3190e3ac14b5142280f7

Aliases

arxiv: 2407.05472 · arxiv_version: 2407.05472v1 · doi: 10.48550/arxiv.2407.05472 · pith_short_12: 6L4MHCVIANC7 · pith_short_16: 6L4MHCVIANC73XNY · pith_short_8: 6L4MHCVI

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/6L4MHCVIANC73XNYSMHFMNYYJK \
  | 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: f2f8c38aa80345fdddb8930e5637184ab28c7b3bf74f3190e3ac14b5142280f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb75495d2e81ef537129c5510fa764940cae0413f9c9810bc94a2e859f0698ce",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-07T19:07:27Z",
    "title_canon_sha256": "b46771ab5e79de8e39e0fafd3d8ef0dfeefca93c0ccc5114de7a1e78a4d628f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.05472",
    "kind": "arxiv",
    "version": 1
  }
}