Pith Number

pith:OSTJXTKE

pith:2012:OSTJXTKEUF4NGGDEAGCQGCT2XS

not attested not anchored not stored refs pending

Fractional stochastic active scalar equations generalizing the multi-D-Quasi-Geostrophic & 2D-Navier-Stokes equations. -Short note-

Latifa Debbi

arxiv:1208.2932 v2 · 2012-08-14 · 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{OSTJXTKEUF4NGGDEAGCQGCT2XS}

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	2026-05-18T03:46:16.370200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74a69bcd44a178d318640185030a7abcb027cd43adf84d686011179a1c053c04

Aliases

arxiv: 1208.2932 · arxiv_version: 1208.2932v2 · doi: 10.48550/arxiv.1208.2932 · pith_short_12: OSTJXTKEUF4N · pith_short_16: OSTJXTKEUF4NGGDE · pith_short_8: OSTJXTKE

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/OSTJXTKEUF4NGGDEAGCQGCT2XS \
  | 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: 74a69bcd44a178d318640185030a7abcb027cd43adf84d686011179a1c053c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4df9425ed07459e7daf60a9df7c2078a78ca9d24e29a18cb4b0620a333ee93ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-14T17:49:05Z",
    "title_canon_sha256": "00fb49d443a6d740f0fc44036d130d7d335e7fdcc09c5777338f924ac762eb86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2932",
    "kind": "arxiv",
    "version": 2
  }
}