Pith Number

pith:BJYFPL2T

pith:2024:BJYFPL2TE6VHU6BJ5KBHKGAFTV

not attested not anchored not stored refs pending

Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity II: close to $H^1$ initial data

Chongsheng Cao, Dong Wang, Edriss S. Titi, Jinkai Li

arxiv:2408.06932 v1 · 2024-08-13 · 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{BJYFPL2TE6VHU6BJ5KBHKGAFTV}

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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	2026-07-05T08:55:03.843828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a7057af5327aa7a7829ea827518059d70e4edddb95786ce65c5b135fd8f14e9

Aliases

arxiv: 2408.06932 · arxiv_version: 2408.06932v1 · doi: 10.48550/arxiv.2408.06932 · pith_short_12: BJYFPL2TE6VH · pith_short_16: BJYFPL2TE6VHU6BJ · pith_short_8: BJYFPL2T

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/BJYFPL2TE6VHU6BJ5KBHKGAFTV \
  | 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: 0a7057af5327aa7a7829ea827518059d70e4edddb95786ce65c5b135fd8f14e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e09e55e32cf999d2c13f88fdb98dedfa634ca154e5177693f6c5bb8d8e7c211a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-08-13T14:37:14Z",
    "title_canon_sha256": "0166a4b2d14dc1f49b89156c9880f22720c5df056bba8eaf187a49b5df791f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.06932",
    "kind": "arxiv",
    "version": 1
  }
}