Pith Number

pith:63K3TGZU

pith:2017:63K3TGZUCEJNBGEHPTQBXHMRX5

not attested not anchored not stored refs pending

Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain

Nobu Kishimoto, Tsuyoshi Yoneda

arxiv:1702.07443 v3 · 2017-02-24 · 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{63K3TGZUCEJNBGEHPTQBXHMRX5}

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	2026-05-18T00:29:15.370917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6d5b99b341112d098877ce01b9d91bf5164148d4f2703fbb23df3090b8f86eb

Aliases

arxiv: 1702.07443 · arxiv_version: 1702.07443v3 · doi: 10.48550/arxiv.1702.07443 · pith_short_12: 63K3TGZUCEJN · pith_short_16: 63K3TGZUCEJNBGEH · pith_short_8: 63K3TGZU

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/63K3TGZUCEJNBGEHPTQBXHMRX5 \
  | 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: f6d5b99b341112d098877ce01b9d91bf5164148d4f2703fbb23df3090b8f86eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54c21e1918f1f95d9e5cdfeec71e0643833494e10d4d9347422981924de237f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-24T01:51:36Z",
    "title_canon_sha256": "d51e71f9350807bd3d9082829868f895c992eb089447afb5bea15191752892a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07443",
    "kind": "arxiv",
    "version": 3
  }
}