Pith Number

pith:C52CXYFM

pith:2014:C52CXYFMSBA3J5356VJL7WATRW

not attested not anchored not stored refs pending

Anisotropic regularity conditions for the suitable weak solutions to the 3d Navier-Stokes equations

Gang Wu, Yanqing Wang

arxiv:1410.2991 v1 · 2014-10-11 · 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{C52CXYFMSBA3J5356VJL7WATRW}

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	2026-05-18T02:40:17.303100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17742be0ac9041b4f77df552bfd8138d9bf561fe61b28aad142c11a256fd89fb

Aliases

arxiv: 1410.2991 · arxiv_version: 1410.2991v1 · doi: 10.48550/arxiv.1410.2991 · pith_short_12: C52CXYFMSBA3 · pith_short_16: C52CXYFMSBA3J535 · pith_short_8: C52CXYFM

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/C52CXYFMSBA3J5356VJL7WATRW \
  | 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: 17742be0ac9041b4f77df552bfd8138d9bf561fe61b28aad142c11a256fd89fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d75045dafe69ad83ec9ddee8af15d3246af177bab5b6caaae5563256f4075ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-11T12:26:55Z",
    "title_canon_sha256": "c375eb00cdc5b197de9b4a9816b20a7cf8d823f52555748d3df6ddb519c0d4d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2991",
    "kind": "arxiv",
    "version": 1
  }
}