pith. sign in
Pith Number

pith:BAEXVZSY

pith:2016:BAEXVZSYBDPPTYXDF6SYGQDK3D
not attested not anchored not stored refs pending

Global Strong $L^p$ Well-Posedness of the 3D Primitive Equations with Heat and Salinity Diffusion

Amru Hussein, Matthias Hieber, Takahito Kashiwabara

arxiv:1605.02614 v1 · 2016-05-09 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BAEXVZSYBDPPTYXDF6SYGQDK3D}

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 2026-07-05T02:26:25.022300Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

08097ae65808def9e2e32fa583406ad8f3dd6ec5fea0e940b66e3d22e32c2d61

Aliases

arxiv: 1605.02614 · arxiv_version: 1605.02614v1 · doi: 10.48550/arxiv.1605.02614 · pith_short_12: BAEXVZSYBDPP · pith_short_16: BAEXVZSYBDPPTYXD · pith_short_8: BAEXVZSY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BAEXVZSYBDPPTYXDF6SYGQDK3D \
  | 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: 08097ae65808def9e2e32fa583406ad8f3dd6ec5fea0e940b66e3d22e32c2d61
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f5d86102ea1c0145647c7e35b09f1c2f45987c1cd7fd33e2109a1169d7c68c32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-09T15:00:01Z",
    "title_canon_sha256": "027162bcea4995c5b9345ee8171626c7b1020bdb357ef486b7f98bc5d635dc32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02614",
    "kind": "arxiv",
    "version": 1
  }
}