Pith Number

pith:P7QJVOY2

pith:2013:P7QJVOY2677GJI7Q7AMNFFN7MK

not attested not anchored not stored refs pending

Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations

Igor Kukavica, Mohammed Ziane, Nathan Glatt-Holtz, Vlad Vicol

arxiv:1311.4204 v1 · 2013-11-17 · 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{P7QJVOY2677GJI7Q7AMNFFN7MK}

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	2026-05-18T01:46:23.961275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fe09abb1af7fe64a3f0f818d295bf62bdacb33b13a21772eccda701ae152b91

Aliases

arxiv: 1311.4204 · arxiv_version: 1311.4204v1 · doi: 10.48550/arxiv.1311.4204 · pith_short_12: P7QJVOY2677G · pith_short_16: P7QJVOY2677GJI7Q · pith_short_8: P7QJVOY2

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/P7QJVOY2677GJI7Q7AMNFFN7MK \
  | 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: 7fe09abb1af7fe64a3f0f818d295bf62bdacb33b13a21772eccda701ae152b91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea050a80cd60e8636422eee90a2908b74da9035c1723afc1c7f1e501c19632cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-17T19:22:02Z",
    "title_canon_sha256": "1c721fa8b160a415e12b0e07fe0c2f21b4448b4d5c550beaa5e70b0c4b5890df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4204",
    "kind": "arxiv",
    "version": 1
  }
}