Pith Number

pith:W4GLIVA3

pith:2015:W4GLIVA37E7NFZ6J3IWAEMJYH3

not attested not anchored not stored refs pending

Splash singularities for the free boundary Navier-Stokes equations

Angel Castro, Charles Fefferman, Diego C\'ordoba, Francisco Gancedo, Javier G\'omez-Serrano

arxiv:1504.02775 v2 · 2015-04-10 · 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{W4GLIVA37E7NFZ6J3IWAEMJYH3}

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	2026-05-17T23:46:31.412493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b70cb4541bf93ed2e7c9da2c0231383ecdf7fbda910817df782cb395c3166ef2

Aliases

arxiv: 1504.02775 · arxiv_version: 1504.02775v2 · doi: 10.48550/arxiv.1504.02775 · pith_short_12: W4GLIVA37E7N · pith_short_16: W4GLIVA37E7NFZ6J · pith_short_8: W4GLIVA3

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/W4GLIVA37E7NFZ6J3IWAEMJYH3 \
  | 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: b70cb4541bf93ed2e7c9da2c0231383ecdf7fbda910817df782cb395c3166ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abcae548e212bc359c22494a57c5fcad40f056c987a7c5dcafa1629cfa206227",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-10T19:48:40Z",
    "title_canon_sha256": "09e23046314c924d9ea547a43d1e3683d2ae4d2be9062a88de70422ecccd8b6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02775",
    "kind": "arxiv",
    "version": 2
  }
}