Pith Number

pith:HJLTWSJE

pith:2012:HJLTWSJEQOGXAEPBA4EDSI4P7V

not attested not anchored not stored refs pending

On the finite-time splash and splat singularities for the 3-D free-surface Euler equations

Daniel Coutand, Steve Shkoller

arxiv:1201.4919 v5 · 2012-01-24 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJLTWSJEQOGXAEPBA4EDSI4P7V}

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	2026-05-18T01:58:42.982567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a573b4924838d7011e1070839238ffd7d4fe4bfd9487fcf1d29fd175fbc0b3f

Aliases

arxiv: 1201.4919 · arxiv_version: 1201.4919v5 · doi: 10.48550/arxiv.1201.4919 · pith_short_12: HJLTWSJEQOGX · pith_short_16: HJLTWSJEQOGXAEPB · pith_short_8: HJLTWSJE

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/HJLTWSJEQOGXAEPBA4EDSI4P7V \
  | 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: 3a573b4924838d7011e1070839238ffd7d4fe4bfd9487fcf1d29fd175fbc0b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a24a33d6130ff0ebc57e715f15067a31c0543b2dd2fd574f7469958f5032cbf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-24T07:44:48Z",
    "title_canon_sha256": "1c13b7d84542031aa985dc4d529a7afe1169924f200fc7d2c32327d5ca081917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4919",
    "kind": "arxiv",
    "version": 5
  }
}