Pith Number

pith:UV67RK32

pith:2011:UV67RK32VJFSRP6LZ54DOB4NB3

not attested not anchored not stored refs pending

Splash singularity for water waves

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

arxiv:1106.2120 v2 · 2011-06-10 · 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{UV67RK32VJFSRP6LZ54DOB4NB3}

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	2026-05-18T02:01:39.931925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a57df8ab7aaa4b28bfcbcf7837078d0ede9a6272a64c42b12e02594c0082052a

Aliases

arxiv: 1106.2120 · arxiv_version: 1106.2120v2 · doi: 10.48550/arxiv.1106.2120 · pith_short_12: UV67RK32VJFS · pith_short_16: UV67RK32VJFSRP6L · pith_short_8: UV67RK32

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/UV67RK32VJFSRP6LZ54DOB4NB3 \
  | 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: a57df8ab7aaa4b28bfcbcf7837078d0ede9a6272a64c42b12e02594c0082052a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2acff882c6290d14fae991c73b54d76d068ec964f57c389830431a32c04dab3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-10T17:00:14Z",
    "title_canon_sha256": "15d7cbb814c393890a01a9a5c7702a38399f4b6e1e0bbafd40dc9af7fccd56c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2120",
    "kind": "arxiv",
    "version": 2
  }
}