Pith Number

pith:BZKGZTYK

pith:2019:BZKGZTYKCITMGLB675VY42VU7L

not attested not anchored not stored refs pending

Well-posedness for the Cauchy problem of the modified Zakharov-Kuznetsov equation

Shinya Kinoshita

arxiv:1911.13265 v1 · 2019-11-29 · 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{BZKGZTYKCITMGLB675VY42VU7L}

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

On the minimal Blow-up rate for the 2D generalized Zakharov- Kuznetsov model

Receipt and verification

First computed	2026-07-05T00:22:53.526252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e546ccf0a1226c32c3eff6b8e6ab4fae786cc1cabccd00762319028ce28ffdb

Aliases

arxiv: 1911.13265 · arxiv_version: 1911.13265v1 · doi: 10.48550/arxiv.1911.13265 · pith_short_12: BZKGZTYKCITM · pith_short_16: BZKGZTYKCITMGLB6 · pith_short_8: BZKGZTYK

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/BZKGZTYKCITMGLB675VY42VU7L \
  | 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: 0e546ccf0a1226c32c3eff6b8e6ab4fae786cc1cabccd00762319028ce28ffdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5cefb999478dbd5a412162f9c4b3b40218b8c30352a006139c12bbb84808d72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-11-29T17:54:49Z",
    "title_canon_sha256": "1f458e56d973fd39508489bd83df0a5c98b6e5284f80dc1acc722482d8d77bb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.13265",
    "kind": "arxiv",
    "version": 1
  }
}