Pith Number

pith:5MAFQA3S

pith:2010:5MAFQA3SK4UNIB3HUC4WQL5FMY

not attested not anchored not stored refs pending

On the regularity of a class of generalized quasi-geostrophic equations

Changxing Miao, Liutang Xue

arxiv:1011.6214 v1 · 2010-11-29 · 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{5MAFQA3SK4UNIB3HUC4WQL5FMY}

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	2026-05-18T04:14:55.124583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb005803725728d40767a0b9682fa566398129cf086c4f5714975fc03202cd1f

Aliases

arxiv: 1011.6214 · arxiv_version: 1011.6214v1 · doi: 10.48550/arxiv.1011.6214 · pith_short_12: 5MAFQA3SK4UN · pith_short_16: 5MAFQA3SK4UNIB3H · pith_short_8: 5MAFQA3S

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/5MAFQA3SK4UNIB3HUC4WQL5FMY \
  | 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: eb005803725728d40767a0b9682fa566398129cf086c4f5714975fc03202cd1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96a8024d7023fac1cb536a278eeab1a9a63250f776bddb42bd309b09bff62e13",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-29T12:32:33Z",
    "title_canon_sha256": "f80ef2d18a3aeac637611f29fe52637ea3573392c3f9f41a0f9b2b6bb8d89d3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6214",
    "kind": "arxiv",
    "version": 1
  }
}