Pith Number

pith:OX7WW74E

pith:2015:OX7WW74EOUCIPPWXZATQ23HPYN

not attested not anchored not stored refs pending

Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation

Xiaojing Xu, Zhuan Ye

arxiv:1506.00470 v3 · 2015-06-01 · 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{OX7WW74EOUCIPPWXZATQ23HPYN}

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	2026-05-18T01:22:01.491099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75ff6b7f84750487bed7c8270d6cefc34d622147826078612813e9267be4df2f

Aliases

arxiv: 1506.00470 · arxiv_version: 1506.00470v3 · doi: 10.48550/arxiv.1506.00470 · pith_short_12: OX7WW74EOUCI · pith_short_16: OX7WW74EOUCIPPWX · pith_short_8: OX7WW74E

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/OX7WW74EOUCIPPWXZATQ23HPYN \
  | 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: 75ff6b7f84750487bed7c8270d6cefc34d622147826078612813e9267be4df2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e11d61fb5cdea810673d22b643f4669bfeafedef0b42f52912e34cdbacb0ad91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-01T12:26:04Z",
    "title_canon_sha256": "f3a6976cedca984d4658fd533814285e8d634a0705ed8d3802e6cbb75e2f7e1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00470",
    "kind": "arxiv",
    "version": 3
  }
}