Pith Number

pith:ENQ7SE3X

pith:2023:ENQ7SE3XSQFHWLDA2OCJ4Y5PUK

not attested not anchored not stored refs pending

Global regular axially-symmetric solutions to the Navier-Stokes equations with small swirl

Bernard Nowakowski, Wojciech M. Zaj\k{a}czkowski

arxiv:2302.00730 v1 · 2023-02-01 · 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{ENQ7SE3XSQFHWLDA2OCJ4Y5PUK}

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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.

Cited by

1 paper in Pith

Global Regularity for Axisymmetric Navier--Stokes Flows with Swirl

Receipt and verification

First computed	2026-07-05T05:38:11.608831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2361f91377940a7b2c60d3849e63afa2acf9c8cdeac000a280a59dcb116637f2

Aliases

arxiv: 2302.00730 · arxiv_version: 2302.00730v1 · doi: 10.48550/arxiv.2302.00730 · pith_short_12: ENQ7SE3XSQFH · pith_short_16: ENQ7SE3XSQFHWLDA · pith_short_8: ENQ7SE3X

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/ENQ7SE3XSQFHWLDA2OCJ4Y5PUK \
  | 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: 2361f91377940a7b2c60d3849e63afa2acf9c8cdeac000a280a59dcb116637f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30f21a29d6d4c33a87cf7185307aef7feeacf27d43e85f143ac7ae3b13fb3894",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-02-01T19:49:41Z",
    "title_canon_sha256": "2cb702982ccbecde618808ef3cbcb154034a4d03172a9e57d0062c7979f97404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.00730",
    "kind": "arxiv",
    "version": 1
  }
}