Pith Number

pith:7GNEADKX

pith:2017:7GNEADKXYRAJKBSBSX54YOG7H7

not attested not anchored not stored refs pending

Remark on the strong solvability of the Navier-Stokes equations in the weak $L^n$ space

Takahiro Okabe, Yohei Tsutsui

arxiv:1711.08741 v2 · 2017-11-23 · 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{7GNEADKXYRAJKBSBSX54YOG7H7}

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	2026-05-18T00:19:41.497472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f99a400d57c44095064195fbcc38df3fedb9374e95e59cd57cab034a04d56dfd

Aliases

arxiv: 1711.08741 · arxiv_version: 1711.08741v2 · doi: 10.48550/arxiv.1711.08741 · pith_short_12: 7GNEADKXYRAJ · pith_short_16: 7GNEADKXYRAJKBSB · pith_short_8: 7GNEADKX

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/7GNEADKXYRAJKBSBSX54YOG7H7 \
  | 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: f99a400d57c44095064195fbcc38df3fedb9374e95e59cd57cab034a04d56dfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9663f78b5001b8231cc3cee649e8936d90488b45da5b0b2c93d51471d4f5bfe7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-23T15:37:22Z",
    "title_canon_sha256": "864d204896f23eb7ac44be78efa9452344d1cfcd09cfd2e57dda568ec2fc7aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08741",
    "kind": "arxiv",
    "version": 2
  }
}