Pith Number

pith:OY4LCWNK

pith:2023:OY4LCWNK7MVJJCLRK6I7SRVVZ4

not attested not anchored not stored refs pending

Limit theorems for supercritical remaining-lifetime age-structured branching processes

Ziling Cheng

arxiv:2401.00140 v2 · 2023-12-30 · 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{OY4LCWNK7MVJJCLRK6I7SRVVZ4}

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	2026-07-05T07:57:48.182879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7638b159aafb2a9489715791f946b5cf2778cf78730ce01e9a6951237f3b8021

Aliases

arxiv: 2401.00140 · arxiv_version: 2401.00140v2 · doi: 10.48550/arxiv.2401.00140 · pith_short_12: OY4LCWNK7MVJ · pith_short_16: OY4LCWNK7MVJJCLR · pith_short_8: OY4LCWNK

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/OY4LCWNK7MVJJCLRK6I7SRVVZ4 \
  | 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: 7638b159aafb2a9489715791f946b5cf2778cf78730ce01e9a6951237f3b8021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14de89595a1fee9e8c6e29663f84c569d36834438c77fc18db617c28fbfae64b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-12-30T04:55:41Z",
    "title_canon_sha256": "42768010e862a1c06336c2d6487f51329733172d1314b6d1ed18daa28597eed5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.00140",
    "kind": "arxiv",
    "version": 2
  }
}