Pith Number

pith:7XDZSJM7

pith:2025:7XDZSJM7LWVXV76RC5J54GAOIP

not attested not anchored not stored refs pending

Normalized solutions for the nonlinear Schr\"odinger equation with potential: the purely Sobolev critical case

Gianmaria Verzini, Junwei Yu

arxiv:2505.05357 v1 · 2025-05-08 · 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{7XDZSJM7LWVXV76RC5J54GAOIP}

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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

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case

Receipt and verification

First computed	2026-07-05T11:00:23.088328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdc799259f5dab7affd11753de180e43f2438b27de5e2986bacb2e8a3d19c753

Aliases

arxiv: 2505.05357 · arxiv_version: 2505.05357v1 · doi: 10.48550/arxiv.2505.05357 · pith_short_12: 7XDZSJM7LWVX · pith_short_16: 7XDZSJM7LWVXV76R · pith_short_8: 7XDZSJM7

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/7XDZSJM7LWVXV76RC5J54GAOIP \
  | 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: fdc799259f5dab7affd11753de180e43f2438b27de5e2986bacb2e8a3d19c753

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e31253f437c735cea77a08b212561ab199b86cba987d74068bf4fbcca5fe5ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-08T15:49:21Z",
    "title_canon_sha256": "55b18c46c66207bdc2d27d02dd74c5f874ab0bc80c69ae4486cb5f57e2b552a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.05357",
    "kind": "arxiv",
    "version": 1
  }
}