Pith Number

pith:WUHSKXLP

pith:2010:WUHSKXLPBK2LIQJ3C4AGL4E4Z7

not attested not anchored not stored refs pending

A Remark on the Global Well-posedness of a Modified Critical Quasi-geostrophic Equation

Kazuo Yamazaki

arxiv:1006.0253 v3 · 2010-06-01 · 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{WUHSKXLPBK2LIQJ3C4AGL4E4Z7}

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	2026-05-18T04:15:04.505534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b50f255d6f0ab4b4413b170065f09ccfc152f86e2ad26e3c887ec4d073c46d15

Aliases

arxiv: 1006.0253 · arxiv_version: 1006.0253v3 · doi: 10.48550/arxiv.1006.0253 · pith_short_12: WUHSKXLPBK2L · pith_short_16: WUHSKXLPBK2LIQJ3 · pith_short_8: WUHSKXLP

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/WUHSKXLPBK2LIQJ3C4AGL4E4Z7 \
  | 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: b50f255d6f0ab4b4413b170065f09ccfc152f86e2ad26e3c887ec4d073c46d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d6eb650fa8b95e2fe3d96af9ae3b5d9f772266c5ec41aeb0d0eba0e5538c8c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-01T21:04:13Z",
    "title_canon_sha256": "12f4c133cc4196a158f10bb2d96e42494a0a562aa94fd7b7a9af411082dc39e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0253",
    "kind": "arxiv",
    "version": 3
  }
}