Pith Number

pith:SU64V7CM

pith:2019:SU64V7CM5ULLLSBC57PVOBJNG4

not attested not anchored not stored refs pending

$\varepsilon$-regularity criteria in anisotropic Lebesgue spaces and Leray's self-similar solutions to the 3D Navier-Stokes equations

Daoguo Zhou, Gang Wu, Yanqing Wang

arxiv:1901.01510 v3 · 2019-01-06 · 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{SU64V7CM5ULLLSBC57PVOBJNG4}

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	2026-05-17T23:47:58.597195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

953dcafc4ced16b5c822efdf57052d37195459cdf3eebc1f9c323b6f5cf3b9f1

Aliases

arxiv: 1901.01510 · arxiv_version: 1901.01510v3 · doi: 10.48550/arxiv.1901.01510 · pith_short_12: SU64V7CM5ULL · pith_short_16: SU64V7CM5ULLLSBC · pith_short_8: SU64V7CM

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/SU64V7CM5ULLLSBC57PVOBJNG4 \
  | 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: 953dcafc4ced16b5c822efdf57052d37195459cdf3eebc1f9c323b6f5cf3b9f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a8aa84aefe1fcfa1eff12ddd5be7ead7ae042ccb78766c9d12abeeb20da2aa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-06T07:11:19Z",
    "title_canon_sha256": "b84fb3856323d1b35f3e9b608a73d1c164b42e985f9b81dae1586782a5d46f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01510",
    "kind": "arxiv",
    "version": 3
  }
}