Pith Number

pith:XTRUL3LD

pith:2025:XTRUL3LD5E2YF6MZ5JAUP2QS5S

not attested not anchored not stored refs pending

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions

Jun-ichi Segata

arxiv:2507.01288 v1 · 2025-07-02 · 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{XTRUL3LD5E2YF6MZ5JAUP2QS5S}

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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

Global well-posedness and scattering for the 2D modified Zakharov-Kuznetsov equation

Receipt and verification

First computed	2026-07-05T11:30:28.301392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce345ed63e93582f999ea4147ea12ecbb74de814e203c8937e7cbda03ced1cd

Aliases

arxiv: 2507.01288 · arxiv_version: 2507.01288v1 · doi: 10.48550/arxiv.2507.01288 · pith_short_12: XTRUL3LD5E2Y · pith_short_16: XTRUL3LD5E2YF6MZ · pith_short_8: XTRUL3LD

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/XTRUL3LD5E2YF6MZ5JAUP2QS5S \
  | 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: bce345ed63e93582f999ea4147ea12ecbb74de814e203c8937e7cbda03ced1cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5c807fce86edfbf73cbf4e68ce420e0e0507ac122309d37dc158a2feefc0b49",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-02T02:02:01Z",
    "title_canon_sha256": "5721bf5a1843aff411d1da0740c9f60d226fd41a5369d7946b3d6e36fe6d710c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01288",
    "kind": "arxiv",
    "version": 1
  }
}