Pith Number

pith:O4SYPX7Q

pith:2026:O4SYPX7QOVJHRP7FAK3QEPWCOS

not attested not anchored not stored refs pending

Local existence of solutions and blow-up criteria for the Boussinesq equations in Lei-Lin-Gevrey Spaces

Patr\'icia L. Guidolin, Thyago S.R. Santos, Wilberclay G. Melo

arxiv:2605.31461 v1 · 2026-05-29 · 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{O4SYPX7QOVJHRP7FAK3QEPWCOS}

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	2026-06-01T02:04:07.135458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

772587dff0755278bfe502b7023ec274b5b49316167fd3b9c4348f808b75f412

Aliases

arxiv: 2605.31461 · arxiv_version: 2605.31461v1 · doi: 10.48550/arxiv.2605.31461 · pith_short_12: O4SYPX7QOVJH · pith_short_16: O4SYPX7QOVJHRP7F · pith_short_8: O4SYPX7Q

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/O4SYPX7QOVJHRP7FAK3QEPWCOS \
  | 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: 772587dff0755278bfe502b7023ec274b5b49316167fd3b9c4348f808b75f412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ae4e4642e54170a08f89e847fe10fcb30b16bc6ab472163f4e6a88767e9b376",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-29T15:52:01Z",
    "title_canon_sha256": "da90246a5417a60c32be70c68561ec6decead082307dfb8013be843d2ee5e76a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31461",
    "kind": "arxiv",
    "version": 1
  }
}