Pith Number

pith:TITJGZPR

pith:2017:TITJGZPRRMSJ5R6UI6ITUHJNZA

not attested not anchored not stored refs pending

The $L^p$ boundedness of wave operators for the three-dimensional multi-centre point interaction

Alessandro Michelangeli, Gianfausto Dell'Antonio, Kenji Yajima, Raffaele Scandone

arxiv:1704.04263 v3 · 2017-04-13 · math-ph · math.FA · 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{TITJGZPRRMSJ5R6UI6ITUHJNZA}

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	2026-05-18T00:20:07.021510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a269365f18b249ec7d447913a1d2dc82a7872c9991e69695dda8d6021aeb862

Aliases

arxiv: 1704.04263 · arxiv_version: 1704.04263v3 · doi: 10.48550/arxiv.1704.04263 · pith_short_12: TITJGZPRRMSJ · pith_short_16: TITJGZPRRMSJ5R6U · pith_short_8: TITJGZPR

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/TITJGZPRRMSJ5R6UI6ITUHJNZA \
  | 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: 9a269365f18b249ec7d447913a1d2dc82a7872c9991e69695dda8d6021aeb862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23580c8e80236c41b969d5406f778167cf98bef3e46b6a99ff8cd38de666294b",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-04-13T19:26:56Z",
    "title_canon_sha256": "1e94eac6c2fc41a739da7e3fa0002d668e94317d20d9006016fbab5ab41e4a7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04263",
    "kind": "arxiv",
    "version": 3
  }
}