Pith Number

pith:JCIDBH5C

pith:2022:JCIDBH5CVYVBAXDSTLTY2VPY6T

not attested not anchored not stored refs pending

Local well-posedness for the Zakharov-Kuznetsov equation in Sobolev spaces

Satoshi Osawa

arxiv:2207.04657 v1 · 2022-07-11 · 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{JCIDBH5CVYVBAXDSTLTY2VPY6T}

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.

Cited by

1 paper in Pith

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$

Receipt and verification

First computed	2026-07-05T04:39:01.814129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4890309fa2ae2a105c729ae78d55f8f4f74e3940929ad61f4776156070ab543c

Aliases

arxiv: 2207.04657 · arxiv_version: 2207.04657v1 · doi: 10.48550/arxiv.2207.04657 · pith_short_12: JCIDBH5CVYVB · pith_short_16: JCIDBH5CVYVBAXDS · pith_short_8: JCIDBH5C

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/JCIDBH5CVYVBAXDSTLTY2VPY6T \
  | 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: 4890309fa2ae2a105c729ae78d55f8f4f74e3940929ad61f4776156070ab543c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "400c95464dc0b85d34ef5c7cc46e0497ae75ad3efa7f71366e1fcd6baf083254",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-07-11T06:32:16Z",
    "title_canon_sha256": "39145da57a6e36a5c3b0833d967daa5816f03e661a42259ba2da5f9b4b0f7d95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.04657",
    "kind": "arxiv",
    "version": 1
  }
}