Pith Number

pith:YSSC2ZLN

pith:2022:YSSC2ZLNNFE76YQQR2VMFIPILF

not attested not anchored not stored refs pending

$L^p$-boundedness of wave operators for bi-Schr\"odinger operators on the line

Haruya Mizutani, Xiaohua Yao, Zijun Wan

arxiv:2201.04758 v3 · 2022-01-13 · math.AP · math-ph · math.CA · 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{YSSC2ZLNNFE76YQQR2VMFIPILF}

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	2026-07-05T08:33:25.248505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4a42d656d6949ff62108eaac2a1e8595cc08446bd6b07137801c64eb701f740

Aliases

arxiv: 2201.04758 · arxiv_version: 2201.04758v3 · doi: 10.48550/arxiv.2201.04758 · pith_short_12: YSSC2ZLNNFE7 · pith_short_16: YSSC2ZLNNFE76YQQ · pith_short_8: YSSC2ZLN

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/YSSC2ZLNNFE76YQQR2VMFIPILF \
  | 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: c4a42d656d6949ff62108eaac2a1e8595cc08446bd6b07137801c64eb701f740

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0c11618fd2c9f580cc97be1f3a12f33f65110bf8ad9a461797d9717b7d00b81",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-01-13T01:16:16Z",
    "title_canon_sha256": "accfcf874e4530535c2f444548f4ddcfecefcf6074d434f0bfb7c2d7374dfb1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.04758",
    "kind": "arxiv",
    "version": 3
  }
}