Pith Number

pith:HGZ7K5F2

pith:2025:HGZ7K5F2BKY4IKHOSWPOHX5XIC

not attested not anchored not stored refs pending

Non-Algebraic Decay for Solutions to the Navier-Stokes Equations

Cilon F. Perusato, Lorenzo Brandolese, Matthieu Pageard

arxiv:2512.21312 v2 · 2025-12-24 · 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{HGZ7K5F2BKY4IKHOSWPOHX5XIC}

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	2026-05-20T00:02:08.138288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39b3f574ba0ab1c428ee959ee3dfb740bf09697e030dfa7d9f21c261177347c1

Aliases

arxiv: 2512.21312 · arxiv_version: 2512.21312v2 · doi: 10.48550/arxiv.2512.21312 · pith_short_12: HGZ7K5F2BKY4 · pith_short_16: HGZ7K5F2BKY4IKHO · pith_short_8: HGZ7K5F2

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/HGZ7K5F2BKY4IKHOSWPOHX5XIC \
  | 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: 39b3f574ba0ab1c428ee959ee3dfb740bf09697e030dfa7d9f21c261177347c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5b4afca32dea522898885a1a10607b790c3991acbf7f97c575d66f834599149",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-12-24T18:15:35Z",
    "title_canon_sha256": "e22b8462dcc983d763378a6a03c70c09d2023122ff74b441ee937d7876948a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.21312",
    "kind": "arxiv",
    "version": 2
  }
}