Pith Number

pith:3UZKXBEP

pith:2019:3UZKXBEPRYLYLEXKJQO5XPC2YD

not attested not anchored not stored refs pending

Global Well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D

Shinya Kinoshita

arxiv:1905.01490 v2 · 2019-05-04 · 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{3UZKXBEPRYLYLEXKJQO5XPC2YD}

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	2026-07-05T01:45:01.185450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd32ab848f8e178592ea4c1ddbbc5ac0c1ebb9765203d6764b686fd4096c2e93

Aliases

arxiv: 1905.01490 · arxiv_version: 1905.01490v2 · doi: 10.48550/arxiv.1905.01490 · pith_short_12: 3UZKXBEPRYLY · pith_short_16: 3UZKXBEPRYLYLEXK · pith_short_8: 3UZKXBEP

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/3UZKXBEPRYLYLEXKJQO5XPC2YD \
  | 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: dd32ab848f8e178592ea4c1ddbbc5ac0c1ebb9765203d6764b686fd4096c2e93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0853c403478b240ec7cb5144b8b832d72e2b8e5291023652f813bf22c9347bb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-04T13:16:47Z",
    "title_canon_sha256": "d4ffa0fa8a6743d14416ea6bf8c537ad539de54549138ce12168ffb13e2ee1ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01490",
    "kind": "arxiv",
    "version": 2
  }
}