Pith Number

pith:4QNZYJHO

pith:2021:4QNZYJHOQAMOYG42AQHJ5GC534

not attested not anchored not stored refs pending

Sharp convex generalizations of stochastic Gronwall inequalities

Sarah Geiss

arxiv:2112.05047 v4 · 2021-12-09 · 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{4QNZYJHOQAMOYG42AQHJ5GC534}

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

The fluctuation behaviour of the stochastic point vortex model with common noise

Receipt and verification

First computed	2026-07-05T06:03:22.372830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e41b9c24ee8018ec1b9a040e9e985ddf1752414d09ec4b6fd71999fb5c0836f2

Aliases

arxiv: 2112.05047 · arxiv_version: 2112.05047v4 · doi: 10.48550/arxiv.2112.05047 · pith_short_12: 4QNZYJHOQAMO · pith_short_16: 4QNZYJHOQAMOYG42 · pith_short_8: 4QNZYJHO

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/4QNZYJHOQAMOYG42AQHJ5GC534 \
  | 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: e41b9c24ee8018ec1b9a040e9e985ddf1752414d09ec4b6fd71999fb5c0836f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c91be137ca060739034a7683945f42ad1e28ceb515b8c03ab952f555dd47d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-12-09T17:20:55Z",
    "title_canon_sha256": "704945a440ca8c8f62f7d2d2dcf8a33b5b19d8589c54ca4589825112d4276c53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05047",
    "kind": "arxiv",
    "version": 4
  }
}