Pith Number

pith:LLMAVVRJ

pith:2007:LLMAVVRJ5LIT5JK725HE5FBVB6

not attested not anchored not stored refs pending

The L^p-continuity of the wave operators for the three dimensional Schroedinger operator

Luca Fanelli

arxiv:math/0701148 v2 · 2007-01-04 · 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{LLMAVVRJ5LIT5JK725HE5FBVB6}

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	2026-05-18T01:18:23.850445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ad80ad629ead13ea55fd74e4e94350f885c84486af2b1beee7a9edf6be649f8

Aliases

arxiv: math/0701148 · arxiv_version: math/0701148v2 · doi: 10.48550/arxiv.math/0701148 · pith_short_12: LLMAVVRJ5LIT · pith_short_16: LLMAVVRJ5LIT5JK7 · pith_short_8: LLMAVVRJ

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/LLMAVVRJ5LIT5JK725HE5FBVB6 \
  | 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: 5ad80ad629ead13ea55fd74e4e94350f885c84486af2b1beee7a9edf6be649f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9032e0032e84766130c6e12608d174acd6e8e046c24d13ebdc831f915cdd335a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-01-04T22:17:40Z",
    "title_canon_sha256": "f4d0d24f8e9582a434922aedf4779ae1ff4d5c61393a58991ed6908d9f60e767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701148",
    "kind": "arxiv",
    "version": 2
  }
}