Pith Number

pith:RWF5LGRI

pith:2026:RWF5LGRIOQ6XPZPXLNHIYH7X7Y

not attested not anchored not stored refs pending

Strichartz estimates for Schr\"odinger equations with the multipole Aharonov--Bohm Hamiltonian

Junyong Zhang, Mengxuan Yang

arxiv:2605.24361 v1 · 2026-05-23 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWF5LGRIOQ6XPZPXLNHIYH7X7Y}

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.

Receipt and verification

First computed	2026-05-26T01:03:01.842334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d8bd59a28743d77e5f75b4e8c1ff7fe134fc282862ba0f0a27a02e67f3dda6a

Aliases

arxiv: 2605.24361 · arxiv_version: 2605.24361v1 · doi: 10.48550/arxiv.2605.24361 · pith_short_12: RWF5LGRIOQ6X · pith_short_16: RWF5LGRIOQ6XPZPX · pith_short_8: RWF5LGRI

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/RWF5LGRIOQ6XPZPXLNHIYH7X7Y \
  | 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: 8d8bd59a28743d77e5f75b4e8c1ff7fe134fc282862ba0f0a27a02e67f3dda6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4093085cde552bf68b57a5b39a2813e38c35cdb83a603f78b36cd0f78a3eb0f7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-23T02:52:31Z",
    "title_canon_sha256": "f3be22f97c60e713b6dd2d95c41c1843f930cb5d3e96d4b4f66dd51bbd2a3bd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24361",
    "kind": "arxiv",
    "version": 1
  }
}