Pith Number

pith:KZA3YFTE

pith:2015:KZA3YFTEHCNZX3VZZMYOYXPIU2

not attested not anchored not stored refs pending

A remark on a priori estimate for the Navier-Stokes equations with the Coriolis force

Hiroki Ito, Jun Kato

arxiv:1512.01814 v1 · 2015-12-06 · 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{KZA3YFTEHCNZX3VZZMYOYXPIU2}

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	2026-05-18T01:25:10.275954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5641bc1664389b9beeb9cb30ec5de8a6b77c27ac99110982be83b78d4001b600

Aliases

arxiv: 1512.01814 · arxiv_version: 1512.01814v1 · doi: 10.48550/arxiv.1512.01814 · pith_short_12: KZA3YFTEHCNZ · pith_short_16: KZA3YFTEHCNZX3VZ · pith_short_8: KZA3YFTE

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/KZA3YFTEHCNZX3VZZMYOYXPIU2 \
  | 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: 5641bc1664389b9beeb9cb30ec5de8a6b77c27ac99110982be83b78d4001b600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad5ec0a91ead3d7f6d2e8527c920175020be6ce71b07b011b4ae55e2d174f252",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-06T18:19:32Z",
    "title_canon_sha256": "ee1da62db509ce730cc3057de58533caf79a2e35bd9d0d346ba58378d30dd7f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01814",
    "kind": "arxiv",
    "version": 1
  }
}