Pith Number

pith:LKPYGHMP

pith:2015:LKPYGHMP4RQLLAJZBDZ6CAWAV5

not attested not anchored not stored refs pending

Applications of Bourgain-Brezis inequalities to Fluid Mechanics and Magnetism

Jean Van Schaftingen, Po-Lam Yung, Sagun Chanillo

arxiv:1509.01472 v2 · 2015-09-04 · 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{LKPYGHMP4RQLLAJZBDZ6CAWAV5}

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	2026-05-18T00:07:51.290082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a9f831d8fe460b5813908f3e102c0af78fe2ed3f9f5630bc83b451035cbcaf6

Aliases

arxiv: 1509.01472 · arxiv_version: 1509.01472v2 · doi: 10.48550/arxiv.1509.01472 · pith_short_12: LKPYGHMP4RQL · pith_short_16: LKPYGHMP4RQLLAJZ · pith_short_8: LKPYGHMP

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/LKPYGHMP4RQLLAJZBDZ6CAWAV5 \
  | 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: 5a9f831d8fe460b5813908f3e102c0af78fe2ed3f9f5630bc83b451035cbcaf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed5f0a1a89d043a503ca2fa1e7819bdc1705bdda983f174c759db50c4355d4f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-04T14:45:54Z",
    "title_canon_sha256": "1850ca0a078b56110dad63083b023a2e548932b090200efef05121a5df9b9036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01472",
    "kind": "arxiv",
    "version": 2
  }
}