Pith Number

pith:FNA7W5IE

pith:2018:FNA7W5IEUIER2HIWUECUXZ2HMI

not attested not anchored not stored refs pending

On some regularity criteria for axisymmetric Navier-Stokes equations

Joanna Renc{\l}awowicz, Wojciech M. Zaj\k{a}czkowski

arxiv:1806.07145 v1 · 2018-06-19 · 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{FNA7W5IEUIER2HIWUECUXZ2HMI}

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	2026-07-05T00:08:52.311265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b41fb7504a2091d1d16a1054be7476229fb725a9f90ad3556f9e60b1c1e1b8f

Aliases

arxiv: 1806.07145 · arxiv_version: 1806.07145v1 · doi: 10.48550/arxiv.1806.07145 · pith_short_12: FNA7W5IEUIER · pith_short_16: FNA7W5IEUIER2HIW · pith_short_8: FNA7W5IE

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/FNA7W5IEUIER2HIWUECUXZ2HMI \
  | 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: 2b41fb7504a2091d1d16a1054be7476229fb725a9f90ad3556f9e60b1c1e1b8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48da192ad4380a8959a8e0a5dc8431595f061217dc22250d53c770d122b45e9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-19T10:18:02Z",
    "title_canon_sha256": "e95d277b0778613e88f33ea7bcb5eaef90f26190d34d5dcae98178875cfcc5ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07145",
    "kind": "arxiv",
    "version": 1
  }
}