Pith Number

pith:EC6JTCAR

pith:2015:EC6JTCARMGPRISTCBWSSSHMLIQ

not attested not anchored not stored refs pending

A blow-up criteria and the existence of 2d gravity water waves with angled crests

Sijue Wu

arxiv:1502.05342 v1 · 2015-02-18 · math.AP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EC6JTCARMGPRISTCBWSSSHMLIQ}

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	2026-05-18T02:26:51.951274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20bc998811619f144a620da5291d8b440281c3abf5213d9766307f107eaa35c1

Aliases

arxiv: 1502.05342 · arxiv_version: 1502.05342v1 · doi: 10.48550/arxiv.1502.05342 · pith_short_12: EC6JTCARMGPR · pith_short_16: EC6JTCARMGPRISTC · pith_short_8: EC6JTCAR

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/EC6JTCARMGPRISTCBWSSSHMLIQ \
  | 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: 20bc998811619f144a620da5291d8b440281c3abf5213d9766307f107eaa35c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b8a2d616a8be1f01c09532a9d0d5d554639b39fadd464495a23c0fef06ce308",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-18T19:07:05Z",
    "title_canon_sha256": "636c14d59ff241776e1d70fb22e8a9e462231eb9ae315c989905ef018c7c0a1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05342",
    "kind": "arxiv",
    "version": 1
  }
}