Pith Number

pith:GY6CTZAO

pith:2011:GY6CTZAOV5H6JI4GGJGUPXDPE6

not attested not anchored not stored refs pending

Global Existence and Regularity for the 3D Stochastic Primitive Equations of the Ocean and Atmosphere with Multiplicative White Noise

Arnaud Debussche, Mohammed Ziane, Nathan Glatt-Holtz, Roger Temam

arxiv:1104.4754 v2 · 2011-04-25 · math.AP · 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{GY6CTZAOV5H6JI4GGJGUPXDPE6}

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	2026-05-18T02:02:15.392451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

363c29e40eaf4fe4a386324d47dc6f27818cf131b5bf8f76490af36242235b3e

Aliases

arxiv: 1104.4754 · arxiv_version: 1104.4754v2 · doi: 10.48550/arxiv.1104.4754 · pith_short_12: GY6CTZAOV5H6 · pith_short_16: GY6CTZAOV5H6JI4G · pith_short_8: GY6CTZAO

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/GY6CTZAOV5H6JI4GGJGUPXDPE6 \
  | 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: 363c29e40eaf4fe4a386324d47dc6f27818cf131b5bf8f76490af36242235b3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97e81d3fb5a7d99377c569dca58edb3fb460201d87d4bd0283035c0ccfc97ca5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-25T17:32:24Z",
    "title_canon_sha256": "23fc23cccb424a4e007e08606034ab0e2d9de215271a43cb640ac57273eb8593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4754",
    "kind": "arxiv",
    "version": 2
  }
}