Pith Number

pith:JPK7WFDV

pith:2009:JPK7WFDVXC5PPRSTYUX7ORBK2F

not attested not anchored not stored refs pending

Global Wellposedness for a Modified Critical Dissipative Quasi-Geostrophic Equation

Changxing Miao, Liutang Xue

arxiv:0901.1368 v6 · 2009-01-10 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPK7WFDVXC5PPRSTYUX7ORBK2F}

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	2026-05-18T04:11:06.221834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd5fb1475b8baf7c653c52ff7442ad14911183a41100e0912b06db26c72d82f

Aliases

arxiv: 0901.1368 · arxiv_version: 0901.1368v6 · doi: 10.48550/arxiv.0901.1368 · pith_short_12: JPK7WFDVXC5P · pith_short_16: JPK7WFDVXC5PPRST · pith_short_8: JPK7WFDV

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/JPK7WFDVXC5PPRSTYUX7ORBK2F \
  | 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: 4bd5fb1475b8baf7c653c52ff7442ad14911183a41100e0912b06db26c72d82f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2228dc66ac9b783248587c4cf55846bfd158538a2aa5fb7d270bfe2d04ef564b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-01-10T10:34:56Z",
    "title_canon_sha256": "9b3578feaed151efb87dd7bb0444c6eda9ca28ce1cd49366219617281fc44b8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1368",
    "kind": "arxiv",
    "version": 6
  }
}