Pith Number

pith:GZUWHJG2

pith:2018:GZUWHJG2YSD4OWF5IAXDKPRUSA

not attested not anchored not stored refs pending

Weak and strong solutions of the $3D$ Navier-Stokes equations and their relation to a chessboard of convergent inverse length scales

John D. Gibbon

arxiv:1803.11518 v2 · 2018-03-30 · nlin.CD · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZUWHJG2YSD4OWF5IAXDKPRUSA}

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	2026-05-18T00:09:15.148396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

366963a4dac487c758bd402e353e34903cbb13f1840819e1f4e5421e4ac50adb

Aliases

arxiv: 1803.11518 · arxiv_version: 1803.11518v2 · doi: 10.48550/arxiv.1803.11518 · pith_short_12: GZUWHJG2YSD4 · pith_short_16: GZUWHJG2YSD4OWF5 · pith_short_8: GZUWHJG2

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/GZUWHJG2YSD4OWF5IAXDKPRUSA \
  | 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: 366963a4dac487c758bd402e353e34903cbb13f1840819e1f4e5421e4ac50adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c01516563e96a9b1edfc7a7aca8231eca644c7e7dbb5e59b8c7fb982720aa498",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2018-03-30T15:38:18Z",
    "title_canon_sha256": "76484db42526a9a92c210aaa84a17587cc117f05fadd6ba0b1e0912d01e7f1b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11518",
    "kind": "arxiv",
    "version": 2
  }
}