Pith Number

pith:LYDXGXFT

pith:2016:LYDXGXFTYCVKVZWPBDPJJ2PKQH

not attested not anchored not stored refs pending

Global regularity of two dimensional inhomogeneous incompressible Navier-Stokes Equations with large data

Ning Jiang, Yilong Luo

arxiv:1608.08432 v3 · 2016-08-30 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYDXGXFTYCVKVZWPBDPJJ2PKQH}

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	2026-05-18T01:02:51.805848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e07735cb3c0aaaae6cf08de94e9ea81f17e5e1e02b7417a025cabc1c7e58a70

Aliases

arxiv: 1608.08432 · arxiv_version: 1608.08432v3 · doi: 10.48550/arxiv.1608.08432 · pith_short_12: LYDXGXFTYCVK · pith_short_16: LYDXGXFTYCVKVZWP · pith_short_8: LYDXGXFT

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/LYDXGXFTYCVKVZWPBDPJJ2PKQH \
  | 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: 5e07735cb3c0aaaae6cf08de94e9ea81f17e5e1e02b7417a025cabc1c7e58a70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20249be62416cfde3a451c228bbde390019c0553e91b770f9999c9cd79a06ed3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-30T12:59:31Z",
    "title_canon_sha256": "d8cc21be443da7d95faa4f7f9fb6aeb269a0abe709ae130fd93ca161d228271d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08432",
    "kind": "arxiv",
    "version": 3
  }
}