Pith Number

pith:CBV5F27Z

pith:2026:CBV5F27Z6UYZGBMWXYWUTFNWCW

not attested not anchored not stored refs pending

On product estimates in Besov-Morrey spaces and stationary solutions for the Hall-MHD and Navier-Stokes systems

Lucas C. F. Ferreira, Rafael P. da Silva

arxiv:2606.08877 v1 · 2026-06-07 · 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{CBV5F27Z6UYZGBMWXYWUTFNWCW}

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	2026-06-09T02:07:44.847086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

106bd2ebf9f531930596be2d4995b6158b3ce515898fd710dd10679353824264

Aliases

arxiv: 2606.08877 · arxiv_version: 2606.08877v1 · doi: 10.48550/arxiv.2606.08877 · pith_short_12: CBV5F27Z6UYZ · pith_short_16: CBV5F27Z6UYZGBMW · pith_short_8: CBV5F27Z

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/CBV5F27Z6UYZGBMWXYWUTFNWCW \
  | 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: 106bd2ebf9f531930596be2d4995b6158b3ce515898fd710dd10679353824264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f217143915cb1126cc747ba01a2926fce7a742acbacc3889f651004abd2f3cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-07T23:17:05Z",
    "title_canon_sha256": "bf7fb9f4a4d7e85010a87e7fad3498776297056dbaa43e81bcfb7402a96b1d51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08877",
    "kind": "arxiv",
    "version": 1
  }
}