Pith Number

pith:P3KJXCE7

pith:2012:P3KJXCE7EUAB4TBNTDSXIRKIIB

not attested not anchored not stored refs pending

Finite-time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics

Chongsheng Cao, Edriss S. Titi, Kenji Nakanishi, Slim Ibrahim

arxiv:1210.7337 v1 · 2012-10-27 · math.AP · physics.ao-ph · physics.flu-dyn · physics.geo-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3KJXCE7EUAB4TBNTDSXIRKIIB}

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	2026-05-18T03:42:10.451012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ed49b889f25001e4c2d98e5744548406e3092157a584377966c4821cfe87d4f

Aliases

arxiv: 1210.7337 · arxiv_version: 1210.7337v1 · doi: 10.48550/arxiv.1210.7337 · pith_short_12: P3KJXCE7EUAB · pith_short_16: P3KJXCE7EUAB4TBN · pith_short_8: P3KJXCE7

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/P3KJXCE7EUAB4TBNTDSXIRKIIB \
  | 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: 7ed49b889f25001e4c2d98e5744548406e3092157a584377966c4821cfe87d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf4a62d17ced53bbda88f73460d20d7c26088f855cba1f41736884b2ae549f0e",
    "cross_cats_sorted": [
      "physics.ao-ph",
      "physics.flu-dyn",
      "physics.geo-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-27T15:39:35Z",
    "title_canon_sha256": "7882a49052b6056bb0b2898c1d1bf83bfc80b38348abc5efc1e8cdeae9f59d3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7337",
    "kind": "arxiv",
    "version": 1
  }
}