Pith Number

pith:J6LUQOLO

pith:2026:J6LUQOLOIVRDJMTTSBGQH7GLN4

not attested not anchored not stored refs pending

Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations

Antonio Agresti, Eliseo Luongo, Federico Butori

arxiv:2606.28575 v1 · 2026-06-26 · math.PR · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J6LUQOLOIVRDJMTTSBGQH7GLN4}

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	2026-06-30T00:15:19.607773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f9748396e456234b273904d03fccb6f07058dadb4aa6b9b69ec21e5ee196235

Aliases

arxiv: 2606.28575 · arxiv_version: 2606.28575v1 · doi: 10.48550/arxiv.2606.28575 · pith_short_12: J6LUQOLOIVRD · pith_short_16: J6LUQOLOIVRDJMTT · pith_short_8: J6LUQOLO

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/J6LUQOLOIVRDJMTTSBGQH7GLN4 \
  | 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: 4f9748396e456234b273904d03fccb6f07058dadb4aa6b9b69ec21e5ee196235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf778f76ac2e9ee1b717fe8577072ba03deab5726d614b63fce25c2591841c93",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-26T20:00:43Z",
    "title_canon_sha256": "de3d6fa0bd08356b4dfcc811afcf61e1862d43f318ee5d8247a1aff3cf3a9e27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28575",
    "kind": "arxiv",
    "version": 1
  }
}