pith. sign in
Pith Number

pith:E7TEZ3AZ

pith:2016:E7TEZ3AZ3WP2UTOYPOPIBBAZNN
not attested not anchored not stored refs pending

Existence and stability of spatial plane waves for the incompressible Navier-Stokes in $\mathbb{R}^3$

M\'ario Figueira, Sim\~ao Correia

arxiv:1611.10232 v1 · 2016-11-30 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{E7TEZ3AZ3WP2UTOYPOPIBBAZNN}

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 2026-05-18T00:49:11.241688Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

27e64cec19dd9faa4dd87b9e8084196b76b8a40cc5e7f08b299a83c105fe8ef3

Aliases

arxiv: 1611.10232 · arxiv_version: 1611.10232v1 · doi: 10.48550/arxiv.1611.10232 · pith_short_12: E7TEZ3AZ3WP2 · pith_short_16: E7TEZ3AZ3WP2UTOY · pith_short_8: E7TEZ3AZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/E7TEZ3AZ3WP2UTOYPOPIBBAZNN \
  | 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: 27e64cec19dd9faa4dd87b9e8084196b76b8a40cc5e7f08b299a83c105fe8ef3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ade00b0aeb0357849fc61d93b3757d03a1c3510b6cc0c86237b3ad565b3d9491",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-30T15:46:20Z",
    "title_canon_sha256": "c64ccb2971d89d39a920e1b1a541ca62c142c4643bd48a3c1b63d8eac92ca332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10232",
    "kind": "arxiv",
    "version": 1
  }
}