Pith Number

pith:IS23ZA7D

pith:2026:IS23ZA7DCWBZGSQOUETAHAPUUJ

not attested not anchored not stored refs pending

Global regularity of the 2D fractional Boussinesq equations with subcritical dissipation

Atanas Stefanov, Jiahong Wu, Xiaojing Xu, Zhuan Ye

arxiv:2606.03680 v1 · 2026-06-02 · 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{IS23ZA7DCWBZGSQOUETAHAPUUJ}

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	2026-06-03T01:06:04.386939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44b5bc83e31583934a0ea1260381f4a26932acb25fff13600f5ada5a755a07d4

Aliases

arxiv: 2606.03680 · arxiv_version: 2606.03680v1 · doi: 10.48550/arxiv.2606.03680 · pith_short_12: IS23ZA7DCWBZ · pith_short_16: IS23ZA7DCWBZGSQO · pith_short_8: IS23ZA7D

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/IS23ZA7DCWBZGSQOUETAHAPUUJ \
  | 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: 44b5bc83e31583934a0ea1260381f4a26932acb25fff13600f5ada5a755a07d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "212ec3c2ad09885d72a8b9ec3450064eddbbb7845aa4633a3800aa227013343b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-02T14:04:25Z",
    "title_canon_sha256": "5bc8de46dbb8b873af659ff4ac1ff54840efea6dcfbf352949b6c7d71b19d917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03680",
    "kind": "arxiv",
    "version": 1
  }
}