Pith Number

pith:5MKI7BRO

pith:2009:5MKI7BROEJL3EN6VBQ3OCKORTJ

not attested not anchored not stored refs pending

Global Regularity for the Critical Dispersive Dissipative Surface Quasi-Geostrophic Equation

Alexander Kiselev, Fedor Nazarov

arxiv:0908.0925 v1 · 2009-08-06 · 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{5MKI7BROEJL3EN6VBQ3OCKORTJ}

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	2026-05-18T02:12:36.967799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb148f862e2257b237d50c36e129d19a7993cdad519ebde0a0184aacbdbe3dde

Aliases

arxiv: 0908.0925 · arxiv_version: 0908.0925v1 · doi: 10.48550/arxiv.0908.0925 · pith_short_12: 5MKI7BROEJL3 · pith_short_16: 5MKI7BROEJL3EN6V · pith_short_8: 5MKI7BRO

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/5MKI7BROEJL3EN6VBQ3OCKORTJ \
  | 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: eb148f862e2257b237d50c36e129d19a7993cdad519ebde0a0184aacbdbe3dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b30ba2e634001a3f1c3f5f93081adf0504f3aa7836e6130eed05a66e85b1b622",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-08-06T18:13:01Z",
    "title_canon_sha256": "fd1e09ba44476a4c0fe2a37642b1ea6d56c48e933ae57212802a5ca4b95f13bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0925",
    "kind": "arxiv",
    "version": 1
  }
}