Pith Number

pith:5HVXH6VI

pith:2025:5HVXH6VI4P4XXDC6DYKAB6ML6I

not attested not anchored not stored refs pending

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data

Fanhui Xu, Igor Kukavica, Mustafa Sencer Ayd{\i}n

arxiv:2501.10331 v1 · 2025-01-17 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HVXH6VI4P4XXDC6DYKAB6ML6I}

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 Euler equations with variable coefficients

Receipt and verification

First computed	2026-07-05T10:02:20.321576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9eb73faa8e3f97b8c5e1e1400f98bf204791198384ad1dafe99c30acf94f0d8

Aliases

arxiv: 2501.10331 · arxiv_version: 2501.10331v1 · doi: 10.48550/arxiv.2501.10331 · pith_short_12: 5HVXH6VI4P4X · pith_short_16: 5HVXH6VI4P4XXDC6 · pith_short_8: 5HVXH6VI

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/5HVXH6VI4P4XXDC6DYKAB6ML6I \
  | 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: e9eb73faa8e3f97b8c5e1e1400f98bf204791198384ad1dafe99c30acf94f0d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "678d284f0a5425b6b3d2b9d4c0aff93d2b15bfe581db0ab28b1af94825cb921c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-17T18:00:11Z",
    "title_canon_sha256": "cbbf4da273fc40a47b07f45eff7665d5301220da7c5514ccc9fea8dea62f6cee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10331",
    "kind": "arxiv",
    "version": 1
  }
}