Pith Number

pith:Z4CWQJX4

pith:2025:Z4CWQJX4BINI6ZAPLDKBMTGA3E

not attested not anchored not stored refs pending

Sharp unconditional well-posedness of the 2-$d$ periodic cubic hyperbolic nonlinear Schr\"odinger equation

Engin Ba\c{s}ako\u{g}lu, Tadahiro Oh, Yuzhao Wang

arxiv:2509.01650 v1 · 2025-09-01 · 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{Z4CWQJX4BINI6ZAPLDKBMTGA3E}

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

Unconditional well-posedness of the stochastic Korteweg-de Vries equation on the real line

Receipt and verification

First computed	2026-07-05T12:03:05.238727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf056826fc0a1a8f640f58d4164cc0d91c56d17bb3871a1b402f01746ca2a69a

Aliases

arxiv: 2509.01650 · arxiv_version: 2509.01650v1 · doi: 10.48550/arxiv.2509.01650 · pith_short_12: Z4CWQJX4BINI · pith_short_16: Z4CWQJX4BINI6ZAP · pith_short_8: Z4CWQJX4

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/Z4CWQJX4BINI6ZAPLDKBMTGA3E \
  | 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: cf056826fc0a1a8f640f58d4164cc0d91c56d17bb3871a1b402f01746ca2a69a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b30fa4a5bb2804bd0460f0fbbe5c8e63a7a34492d5634b66bb615aec3f739d8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-09-01T17:52:10Z",
    "title_canon_sha256": "99fa228e4f29645ebf9ec7d0d4ef54714b3f83866aa331c003a4ab31567dd764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01650",
    "kind": "arxiv",
    "version": 1
  }
}