Pith Number

pith:6AAB5S2A

pith:2003:6AAB5S2AEDBYAQUB72IJMLATZI

not attested not anchored not stored refs pending

The $L^{p}-L^{\acute{p}}$ Estimate for the Schr\"{o}dinger Equation on the Half-Line

Ricardo Weder

arxiv:math-ph/0301012 v1 · 2003-01-10 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6AAB5S2AEDBYAQUB72IJMLATZI}

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	2026-07-04T14:48:37.344094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0001ecb4020c3804281fe90962c13ca0fc78a1d7a70441fa030da785fc8f972

Aliases

arxiv: math-ph/0301012 · arxiv_version: math-ph/0301012v1 · doi: 10.48550/arxiv.math-ph/0301012 · pith_short_12: 6AAB5S2AEDBY · pith_short_16: 6AAB5S2AEDBYAQUB · pith_short_8: 6AAB5S2A

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/6AAB5S2AEDBYAQUB72IJMLATZI \
  | 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: f0001ecb4020c3804281fe90962c13ca0fc78a1d7a70441fa030da785fc8f972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f98d31239a73bd5faaf33208f841480479e89af8b02f32a46689999b33e95f63",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-01-10T17:27:10Z",
    "title_canon_sha256": "58382044891d036919fad2ed13ca12463862090b89cd0cbbe8bfe07749d55be1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0301012",
    "kind": "arxiv",
    "version": 1
  }
}