Pith Number

pith:4HBWWATS

pith:2014:4HBWWATSLIDGF2GIT3FAN3VSKQ

not attested not anchored not stored refs pending

Strichartz estimates and the Cauchy problem for the gravity water waves equations

Claude Zuily, Nicolas Burq, Thomas Alazard

arxiv:1404.4276 v1 · 2014-04-16 · 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{4HBWWATSLIDGF2GIT3FAN3VSKQ}

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	2026-05-18T02:54:05.780888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c36b02725a0662e8c89eca06eeb25420f8b863bca08e93d1ab085a58db4d7b

Aliases

arxiv: 1404.4276 · arxiv_version: 1404.4276v1 · doi: 10.48550/arxiv.1404.4276 · pith_short_12: 4HBWWATSLIDG · pith_short_16: 4HBWWATSLIDGF2GI · pith_short_8: 4HBWWATS

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/4HBWWATSLIDGF2GIT3FAN3VSKQ \
  | 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: e1c36b02725a0662e8c89eca06eeb25420f8b863bca08e93d1ab085a58db4d7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9689d5837a75ce65150eead95e874cb05da0334894b74612ae713b1e9930dc2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-16T15:00:18Z",
    "title_canon_sha256": "1ea1b09c7ac707f9bcfbc4d81ad7b0802e9e219c4dedcac259f9d72c77b1ad40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4276",
    "kind": "arxiv",
    "version": 1
  }
}