Pith Number

pith:PQDF6Z2F

pith:2014:PQDF6Z2FNYF3BQVDX2BN6HDRH4

not attested not anchored not stored refs pending

A blowup criteria along maximum points of the 3D-Navier-Stokes flow in terms of function spaces with variable growth condition

Eiichi Nakai, Tsuyoshi Yoneda

arxiv:1408.0159 v1 · 2014-08-01 · 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{PQDF6Z2FNYF3BQVDX2BN6HDRH4}

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	2026-05-18T02:46:03.732223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c065f67456e0bb0c2a3be82df1c713f366c8a832e85da929a5abf05cc0e58d8

Aliases

arxiv: 1408.0159 · arxiv_version: 1408.0159v1 · doi: 10.48550/arxiv.1408.0159 · pith_short_12: PQDF6Z2FNYF3 · pith_short_16: PQDF6Z2FNYF3BQVD · pith_short_8: PQDF6Z2F

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/PQDF6Z2FNYF3BQVDX2BN6HDRH4 \
  | 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: 7c065f67456e0bb0c2a3be82df1c713f366c8a832e85da929a5abf05cc0e58d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6865e00a53533f3d524234a742d7bdb6bf3278b391c61a76118f55a755d7f62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-01T12:56:55Z",
    "title_canon_sha256": "ec819b26c6a8cb9cc5b549674f39969669df6f06845abdd0ef8565564e61da6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0159",
    "kind": "arxiv",
    "version": 1
  }
}