Pith Number

pith:2D44P3N2

pith:2012:2D44P3N2IRYKV5KBI5K4HJABGE

not attested not anchored not stored refs pending

Finite time singularities for water waves with surface tension

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

arxiv:1204.6633 v2 · 2012-04-30 · 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{2D44P3N2IRYKV5KBI5K4HJABGE}

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	2026-05-18T01:57:42.392821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0f9c7edba4470aaf5414755c3a4013103cd82f9ab7978893801f6cf5438e5cf

Aliases

arxiv: 1204.6633 · arxiv_version: 1204.6633v2 · doi: 10.48550/arxiv.1204.6633 · pith_short_12: 2D44P3N2IRYK · pith_short_16: 2D44P3N2IRYKV5KB · pith_short_8: 2D44P3N2

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/2D44P3N2IRYKV5KBI5K4HJABGE \
  | 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: d0f9c7edba4470aaf5414755c3a4013103cd82f9ab7978893801f6cf5438e5cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c516e36f31e09753678704b45021a56184f347bc85599c4c12e31f87f268313b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-30T13:50:39Z",
    "title_canon_sha256": "fdc22abe2af42408fadb68f768b96282fc6d1bb06442fc9d9d94fef0ed92bd3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6633",
    "kind": "arxiv",
    "version": 2
  }
}