Pith Number

pith:CRGQIW44

pith:2014:CRGQIW44ZBJPVZE2DPE6VXP374

not attested not anchored not stored refs pending

Regularity criterion of the 4D Navier-Stokes equations involving two velocity field components

Kazuo Yamazaki

arxiv:1407.7329 v2 · 2014-07-28 · 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{CRGQIW44ZBJPVZE2DPE6VXP374}

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	2026-05-18T02:19:16.724507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

144d045b9cc852fae49a1bc9eaddfbff38e10eccb0f3dec3cc9da0916a01345a

Aliases

arxiv: 1407.7329 · arxiv_version: 1407.7329v2 · doi: 10.48550/arxiv.1407.7329 · pith_short_12: CRGQIW44ZBJP · pith_short_16: CRGQIW44ZBJPVZE2 · pith_short_8: CRGQIW44

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/CRGQIW44ZBJPVZE2DPE6VXP374 \
  | 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: 144d045b9cc852fae49a1bc9eaddfbff38e10eccb0f3dec3cc9da0916a01345a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14684b3a5f4e51c3639b69f23ffbb1d7a6940df534e8a20c8b193144a88f8299",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-28T05:54:49Z",
    "title_canon_sha256": "e8ed36183c79835ca5e64730968efdfef2746cc77370a3fa73ca84e4a181b59d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7329",
    "kind": "arxiv",
    "version": 2
  }
}