Pith Number

pith:KPLPF6SX

pith:2013:KPLPF6SX2Q4BDCNEH5L4PNWJ52

not attested not anchored not stored refs pending

Global regularity for the critical 2-D dissipative quasi-geostrophic equation with force

Sari Ghanem

arxiv:1312.7398 v1 · 2013-12-28 · 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{KPLPF6SX2Q4BDCNEH5L4PNWJ52}

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	2026-05-18T03:03:43.609188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53d6f2fa57d4381189a43f57c7b6c9ee8df2e6e685b15592889b9e895e17f2d6

Aliases

arxiv: 1312.7398 · arxiv_version: 1312.7398v1 · doi: 10.48550/arxiv.1312.7398 · pith_short_12: KPLPF6SX2Q4B · pith_short_16: KPLPF6SX2Q4BDCNE · pith_short_8: KPLPF6SX

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/KPLPF6SX2Q4BDCNEH5L4PNWJ52 \
  | 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: 53d6f2fa57d4381189a43f57c7b6c9ee8df2e6e685b15592889b9e895e17f2d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ada47c032b4d000bb7a111740357859dc6f888de78b64bb3eba629e9480e08a7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-28T07:08:04Z",
    "title_canon_sha256": "2159c3742d790aa6ad8283cd9cff03c378aea9ef6a18d608fe5aa40b937f471f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7398",
    "kind": "arxiv",
    "version": 1
  }
}