Pith Number

pith:ATY6MTAN

pith:2017:ATY6MTANETFSRYCLDJPLMBAWCZ

not attested not anchored not stored refs pending

Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity

Chongsheng Cao, Edriss S. Titi, Jinkai Li

arxiv:1703.02512 v1 · 2017-03-07 · 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{ATY6MTANETFSRYCLDJPLMBAWCZ}

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	2026-05-18T00:49:19.780657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04f1e64c0d24cb28e04b1a5eb60416166779e59559d564b7a0caa99f21a53367

Aliases

arxiv: 1703.02512 · arxiv_version: 1703.02512v1 · doi: 10.48550/arxiv.1703.02512 · pith_short_12: ATY6MTANETFS · pith_short_16: ATY6MTANETFSRYCL · pith_short_8: ATY6MTAN

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/ATY6MTANETFSRYCLDJPLMBAWCZ \
  | 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: 04f1e64c0d24cb28e04b1a5eb60416166779e59559d564b7a0caa99f21a53367

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7852c108d9b84afffb40e78e9ce32fd3f75def5c5140aec5af4b3dddb0f3d51",
    "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": "2017-03-07T18:29:13Z",
    "title_canon_sha256": "7be5e3e9b475fa2739228e0e0d5fe2dd8bc58bf30fbc0c9daa5de04a30562cd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02512",
    "kind": "arxiv",
    "version": 1
  }
}