Pith Number

pith:CQYJ4BBA

pith:2026:CQYJ4BBAAU5WG7CAZKRSRLDD4T

not attested not anchored not stored refs pending

The Frog Model on $\mathbb Z$ with Random Discrete Weibull Lifetimes and Biased Nearest-Neighbour Random Walks

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

arxiv:2606.11068 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{CQYJ4BBAAU5WG7CAZKRSRLDD4T}

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	2026-06-10T01:11:08.047545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14309e0420053b637c40caa328ac63e4fe7ad11269edd828c42c6c189c6eca2f

Aliases

arxiv: 2606.11068 · arxiv_version: 2606.11068v1 · doi: 10.48550/arxiv.2606.11068 · pith_short_12: CQYJ4BBAAU5W · pith_short_16: CQYJ4BBAAU5WG7CA · pith_short_8: CQYJ4BBA

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/CQYJ4BBAAU5WG7CAZKRSRLDD4T \
  | 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: 14309e0420053b637c40caa328ac63e4fe7ad11269edd828c42c6c189c6eca2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc84c59c7027470028fd2846e9f62f1742c2920711a94d7c14bc80f52a5c0363",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-09T16:30:27Z",
    "title_canon_sha256": "b9ffea929ef8816cc4bd177250a09204e5416f7e4c073717f6ce8c38c0b9a877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11068",
    "kind": "arxiv",
    "version": 1
  }
}