Pith Number

pith:FA2OKTU3

pith:2026:FA2OKTU3B2M7LMDIJUME7AGKCK

not attested not anchored not stored refs pending

Convergence of a Critical Multitype Bellman--Harris Process with One Infinite-Mean Lifetime

Prates Machado Fabio, Ram\'irez-Gonz\'alez J.H.

arxiv:2606.11511 v1 · 2026-06-09 · 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{FA2OKTU3B2M7LMDIJUME7AGKCK}

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	2026-06-11T01:09:53.358895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2834e54e9b0e99f5b0684d184f80ca128a066f3c8dcf2b79fd1817786844544a

Aliases

arxiv: 2606.11511 · arxiv_version: 2606.11511v1 · doi: 10.48550/arxiv.2606.11511 · pith_short_12: FA2OKTU3B2M7 · pith_short_16: FA2OKTU3B2M7LMDI · pith_short_8: FA2OKTU3

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/FA2OKTU3B2M7LMDIJUME7AGKCK \
  | 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: 2834e54e9b0e99f5b0684d184f80ca128a066f3c8dcf2b79fd1817786844544a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "248275a1868bfba5e442fe5a5d9cbe67af703407cd55102977a01acb6db1f50a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-09T23:14:59Z",
    "title_canon_sha256": "71cfb5325b16729d7dd4b3e38f6707ad5d28e28b79cb3f2611859808cae4ac64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11511",
    "kind": "arxiv",
    "version": 1
  }
}