Pith Number

pith:WJJOBSRQ

pith:2011:WJJOBSRQAPBKBQSOXKVIYVWQJS

not attested not anchored not stored refs pending

On the equivalence of stochastic completeness, Liouville and Khas'minskii condition in linear and nonlinear setting

Daniele Valtorta, Luciano Mari

arxiv:1106.1352 v5 · 2011-06-07 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJJOBSRQAPBKBQSOXKVIYVWQJS}

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	2026-05-18T02:58:30.935645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b252e0ca3003c2a0c24ebaaa8c56d04ca719f2c4cff9de6c5bccda7a5be82015

Aliases

arxiv: 1106.1352 · arxiv_version: 1106.1352v5 · doi: 10.48550/arxiv.1106.1352 · pith_short_12: WJJOBSRQAPBK · pith_short_16: WJJOBSRQAPBKBQSO · pith_short_8: WJJOBSRQ

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/WJJOBSRQAPBKBQSOXKVIYVWQJS \
  | 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: b252e0ca3003c2a0c24ebaaa8c56d04ca719f2c4cff9de6c5bccda7a5be82015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8756ddcad5f425524a283577a1a87ac8f176e7edb9be1584076ff8dcec00f06",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-07T14:00:38Z",
    "title_canon_sha256": "99b44bd8dfd756959fb05693821ab506c69e95fad097e0961f99f28198d698f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1352",
    "kind": "arxiv",
    "version": 5
  }
}