Pith Number

pith:JSCBOJDL

pith:2024:JSCBOJDLSJR2CWA7RFMWEZACOS

not attested not anchored not stored refs pending

Strichartz estimates for the Schr\"odinger equation in high dimensional critical electromagnetic fields

Junyong Zhang, Qiuye Jia

arxiv:2412.02296 v2 · 2024-12-03 · math.AP · math-ph · math.MP

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\usepackage{pith}
\pithnumber{JSCBOJDLSJR2CWA7RFMWEZACOS}

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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

The effect of geometric focusing on dispersive estimates for Schr\"odinger and wave equations

Receipt and verification

First computed	2026-07-05T11:04:42.435683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c8417246b9263a1581f895962640274bacf498799d73db59df5a65c3538a147

Aliases

arxiv: 2412.02296 · arxiv_version: 2412.02296v2 · doi: 10.48550/arxiv.2412.02296 · pith_short_12: JSCBOJDLSJR2 · pith_short_16: JSCBOJDLSJR2CWA7 · pith_short_8: JSCBOJDL

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/JSCBOJDLSJR2CWA7RFMWEZACOS \
  | 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: 4c8417246b9263a1581f895962640274bacf498799d73db59df5a65c3538a147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6113afd113eecfe91da714371a90568676577ac298a2dbb5b06bfdb42674a030",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-03T09:10:05Z",
    "title_canon_sha256": "24f60451139889c103b61eb41ca5a831a53337f977535afe8bc57d48aca16dbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02296",
    "kind": "arxiv",
    "version": 2
  }
}