Pith Number

pith:7NJAW4LU

pith:2009:7NJAW4LU4QATDYWBF5YXDEHKMB

not attested not anchored not stored refs pending

Nonlinear Instability for the Critically Dissipative Quasi-Geostrophic Equation

Nata\v{s}a Pavlovi\'c, Susan Friedlander, Vlad Vicol

arxiv:0903.1391 v2 · 2009-03-08 · 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{7NJAW4LU4QATDYWBF5YXDEHKMB}

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	2026-05-18T02:14:36.656305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb520b7174e40131e2c12f717190ea60665ccb6cd1d6ce534db917969f44d8c8

Aliases

arxiv: 0903.1391 · arxiv_version: 0903.1391v2 · doi: 10.48550/arxiv.0903.1391 · pith_short_12: 7NJAW4LU4QAT · pith_short_16: 7NJAW4LU4QATDYWB · pith_short_8: 7NJAW4LU

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/7NJAW4LU4QATDYWBF5YXDEHKMB \
  | 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: fb520b7174e40131e2c12f717190ea60665ccb6cd1d6ce534db917969f44d8c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62d1e9c1def47e340bac5c04f3edb612759d71924cbc77ffd450779e420867c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-03-08T06:18:03Z",
    "title_canon_sha256": "7bfe59d3268d891ea3e880504385b78739ce41615e22cb106f354557cabc4ef6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1391",
    "kind": "arxiv",
    "version": 2
  }
}