Pith Number

pith:NV2DHOFS

pith:2013:NV2DHOFSEFB5AEHQ5GS4QT5FZW

not attested not anchored not stored refs pending

Local and Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity

Chongsheng Cao, Edriss S. Titi, Jinkai Li

arxiv:1312.6035 v1 · 2013-12-20 · 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{NV2DHOFSEFB5AEHQ5GS4QT5FZW}

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	2026-05-18T01:45:43.229973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d7433b8b22143d010f0e9a5c84fa5cdba824af7be14bf44927dff296e5068fb

Aliases

arxiv: 1312.6035 · arxiv_version: 1312.6035v1 · doi: 10.48550/arxiv.1312.6035 · pith_short_12: NV2DHOFSEFB5 · pith_short_16: NV2DHOFSEFB5AEHQ · pith_short_8: NV2DHOFS

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/NV2DHOFSEFB5AEHQ5GS4QT5FZW \
  | 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: 6d7433b8b22143d010f0e9a5c84fa5cdba824af7be14bf44927dff296e5068fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73a3ca7c5dd3d1a7a9f840a3440967153ca0fed315504df0f147081d46c5e1ff",
    "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": "2013-12-20T16:47:05Z",
    "title_canon_sha256": "8769526f58591efddcca2aa670648ff27b53b70d9dd313133a4443b7b44e98f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6035",
    "kind": "arxiv",
    "version": 1
  }
}