Pith Number

pith:3WA4DFWR

pith:2024:3WA4DFWRD4FY2ORTJ7FSSMTSN5

not attested not anchored not stored refs pending

Norm inflation for a higher-order nonlinear Schr\"odinger equation with a derivative on the circle

Mamoru Okamoto, Toshiki Kondo

arxiv:2407.17782 v1 · 2024-07-25 · 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{3WA4DFWRD4FY2ORTJ7FSSMTSN5}

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

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus

Receipt and verification

First computed	2026-07-05T11:55:36.001825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd81c196d11f0b8d3a334fcb2932726f59986b7baa130a0ee77194f64e30067e

Aliases

arxiv: 2407.17782 · arxiv_version: 2407.17782v1 · doi: 10.48550/arxiv.2407.17782 · pith_short_12: 3WA4DFWRD4FY · pith_short_16: 3WA4DFWRD4FY2ORT · pith_short_8: 3WA4DFWR

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/3WA4DFWRD4FY2ORTJ7FSSMTSN5 \
  | 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: dd81c196d11f0b8d3a334fcb2932726f59986b7baa130a0ee77194f64e30067e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b771b0a2f8b464e2d8e2880457643cd4373803adfb5e058bfbddd5c9f02e41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-07-25T05:22:12Z",
    "title_canon_sha256": "b4bea3d47b4e81af58776de15957b41e51beef11c4498c45f105485ede12491c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.17782",
    "kind": "arxiv",
    "version": 1
  }
}