Pith Number

pith:VU2CAOZH

pith:2025:VU2CAOZHVBMIJFW5PSZFHZAKIJ

not attested not anchored not stored refs pending

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus

Mamoru Okamoto, Takamori Kato, Toshiki Kondo

arxiv:2508.11866 v1 · 2025-08-16 · 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{VU2CAOZHVBMIJFW5PSZFHZAKIJ}

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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

2 papers in Pith

Unconditional Well-posedness for the MMT Equation on the Torus

Norm inflation for quadratic derivative fractional nonlinear Schr\"odinger equations

Receipt and verification

First computed	2026-07-05T11:54:55.898029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad34203b27a8588496dd7cb253e40a42407f16f7360fb1a3ae486aec205e08c2

Aliases

arxiv: 2508.11866 · arxiv_version: 2508.11866v1 · doi: 10.48550/arxiv.2508.11866 · pith_short_12: VU2CAOZHVBMI · pith_short_16: VU2CAOZHVBMIJFW5 · pith_short_8: VU2CAOZH

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/VU2CAOZHVBMIJFW5PSZFHZAKIJ \
  | 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: ad34203b27a8588496dd7cb253e40a42407f16f7360fb1a3ae486aec205e08c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6eb1e5f2bcda7a77197fb19abb2a147d55acd310166ac658a75bad617761c64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-16T01:50:33Z",
    "title_canon_sha256": "34b3248fae3890424b70938a11fafdba78e5f9003fc109e49502827d4c10e622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.11866",
    "kind": "arxiv",
    "version": 1
  }
}