Pith Number

pith:MLWWYDOZ

pith:2026:MLWWYDOZ6BDHEGZOATZY56N7IF

not attested not anchored not stored refs pending

Global Mild solutions for the fractional Navier-Stokes-Boussinesq equations in critical Fourier-Herz-Lorentz spaces

Diego Chamorro (LaMME), Maxence Mansais

arxiv:2606.09185 v1 · 2026-06-08 · 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{MLWWYDOZ6BDHEGZOATZY56N7IF}

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	2026-06-09T02:08:05.835500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62ed6c0dd9f046721b2e04f38ef9bf4176a75d3ab917e91c61c3dfa2e077d4ed

Aliases

arxiv: 2606.09185 · arxiv_version: 2606.09185v1 · doi: 10.48550/arxiv.2606.09185 · pith_short_12: MLWWYDOZ6BDH · pith_short_16: MLWWYDOZ6BDHEGZO · pith_short_8: MLWWYDOZ

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/MLWWYDOZ6BDHEGZOATZY56N7IF \
  | 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: 62ed6c0dd9f046721b2e04f38ef9bf4176a75d3ab917e91c61c3dfa2e077d4ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ec7c89ffb52bc723a662ccb7cca505649bc83ef6c2e8e344a4e76930abc58d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-08T08:21:36Z",
    "title_canon_sha256": "40c544af1ee87658c315bf3ec99c3bb23d3119f16f485d600b81c8a8ec4cdaeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09185",
    "kind": "arxiv",
    "version": 1
  }
}