Pith Number

pith:JDLDPYAL

pith:2012:JDLDPYALWBMGHM34RBGGZHMA46

not attested not anchored not stored refs pending

Large deviation principles for the stochastic quasi-geostrophic equation

Michael R\"ockner, Wei Liu, Xiangchan Zhu

arxiv:1204.6417 v3 · 2012-04-28 · 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{JDLDPYALWBMGHM34RBGGZHMA46}

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	2026-05-18T03:25:16.287993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48d637e00bb05863b37c884c6c9d80e78fad6f3391cc601010efff06eb425149

Aliases

arxiv: 1204.6417 · arxiv_version: 1204.6417v3 · doi: 10.48550/arxiv.1204.6417 · pith_short_12: JDLDPYALWBMG · pith_short_16: JDLDPYALWBMGHM34 · pith_short_8: JDLDPYAL

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/JDLDPYALWBMGHM34RBGGZHMA46 \
  | 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: 48d637e00bb05863b37c884c6c9d80e78fad6f3391cc601010efff06eb425149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c10f7470955334cf63252bb6e513ffbd9811da7285df89a45f81520c37c0bdbf",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-28T16:36:37Z",
    "title_canon_sha256": "a551a7aaf5904798c679c3d7b3c816b0d396d5aa23d43d75c201242ae4d1e879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6417",
    "kind": "arxiv",
    "version": 3
  }
}