Pith Number

pith:MODWTPAX

pith:2024:MODWTPAXUQTPEKJNMLDRJD6XT7

not attested not anchored not stored refs pending

Stochastic Extinction, An Average Lyapunov Function Approach

Declan Stacy, Juraj Foldes

arxiv:2407.19606 v1 · 2024-07-28 · math.PR · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MODWTPAXUQTPEKJNMLDRJD6XT7}

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.

Cited by

1 paper in Pith

Stochastic Extinction with Relaxed Boundedness Conditions

Receipt and verification

First computed	2026-07-05T08:49:42.107631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

638769bc17a426f2292d62c7148fd79fdc2a317c0c31c92c8c4d8d107d2df073

Aliases

arxiv: 2407.19606 · arxiv_version: 2407.19606v1 · doi: 10.48550/arxiv.2407.19606 · pith_short_12: MODWTPAXUQTP · pith_short_16: MODWTPAXUQTPEKJN · pith_short_8: MODWTPAX

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/MODWTPAXUQTPEKJNMLDRJD6XT7 \
  | 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: 638769bc17a426f2292d62c7148fd79fdc2a317c0c31c92c8c4d8d107d2df073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef2439c2b218b128dd93832f045e87e2cf746c05644b67443e13c1db16df7e8",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-28T22:35:36Z",
    "title_canon_sha256": "93d4233d4d9abd5fef5a42448228907135fca39c59c627d569ddeb3f7a770bba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.19606",
    "kind": "arxiv",
    "version": 1
  }
}