Pith Number

pith:RWAD4IVY

pith:2024:RWAD4IVYGYTYFE6FZM7QHQGTGX

not attested not anchored not stored refs pending

Uniqueness of mild solutions to the Navier-Stokes equations in weak-type $L^d$ space

Zhirun Zhan

arxiv:2402.01174 v2 · 2024-02-02 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWAD4IVYGYTYFE6FZM7QHQGTGX}

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	2026-07-05T08:54:06.927296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d803e22b836278293c5cb3f03c0d335d89b7fff838495ce78bcafecc16cc977

Aliases

arxiv: 2402.01174 · arxiv_version: 2402.01174v2 · doi: 10.48550/arxiv.2402.01174 · pith_short_12: RWAD4IVYGYTY · pith_short_16: RWAD4IVYGYTYFE6F · pith_short_8: RWAD4IVY

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/RWAD4IVYGYTYFE6FZM7QHQGTGX \
  | 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: 8d803e22b836278293c5cb3f03c0d335d89b7fff838495ce78bcafecc16cc977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cb93abdb1b1192629da7b3ab232e7f21db531b40e7d46a5cdf86dbdfc9e9217",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-02-02T06:34:51Z",
    "title_canon_sha256": "38c7c74085c9e7772b0355b415d4dac8d3e708481e900edc39387395a10b8a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.01174",
    "kind": "arxiv",
    "version": 2
  }
}