Pith Number

pith:XMF4DJXF

pith:2015:XMF4DJXFDL4JSJ4NCCJO6QF2PR

not attested not anchored not stored refs pending

The regularized 3D Boussinesq equations with fractional Laplacian and no diffusion

Benedetta Ferrario, Hakima Bessaih

arxiv:1504.05067 v2 · 2015-04-20 · 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{XMF4DJXFDL4JSJ4NCCJO6QF2PR}

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	2026-05-18T01:00:10.329469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0bc1a6e51af899278d1092ef40ba7c73b09560b2b0065fb5f8bd6e432c6a8f

Aliases

arxiv: 1504.05067 · arxiv_version: 1504.05067v2 · doi: 10.48550/arxiv.1504.05067 · pith_short_12: XMF4DJXFDL4J · pith_short_16: XMF4DJXFDL4JSJ4N · pith_short_8: XMF4DJXF

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/XMF4DJXFDL4JSJ4NCCJO6QF2PR \
  | 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: bb0bc1a6e51af899278d1092ef40ba7c73b09560b2b0065fb5f8bd6e432c6a8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e6bc055b85bd30916a8ad00475a56a5be82ace575e0f53d9836ecbb4209f2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-20T14:15:21Z",
    "title_canon_sha256": "8c20cecb054b9322f9937de8e0b47c850b7e39a4a58a70356f7cda8ebae5da43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05067",
    "kind": "arxiv",
    "version": 2
  }
}