Pith Number

pith:APLZWE3X

pith:2018:APLZWE3XKOTQTPLYO3QQZAGIPB

not attested not anchored not stored refs pending

Vector-valued Schr\"odinger operators on $L^p$-spaces

A. Maichine, A. Rhandi, M. Kunze

arxiv:1802.09771 v1 · 2018-02-27 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APLZWE3XKOTQTPLYO3QQZAGIPB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:22:22.269679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d79b137753a709bd7876e10c80c87847f5d8fddbbea0ccc044872aabfc942e

Aliases

arxiv: 1802.09771 · arxiv_version: 1802.09771v1 · doi: 10.48550/arxiv.1802.09771 · pith_short_12: APLZWE3XKOTQ · pith_short_16: APLZWE3XKOTQTPLY · pith_short_8: APLZWE3X

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/APLZWE3XKOTQTPLYO3QQZAGIPB \
  | 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: 03d79b137753a709bd7876e10c80c87847f5d8fddbbea0ccc044872aabfc942e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42ad105e5394e6ee9b5e65d9c8f1e273f0a3421f62f0d1b0f753948f3a0bfe5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-27T08:35:48Z",
    "title_canon_sha256": "037de53c957d6f5dd64fae60b7760244bb2c1dfc7192386471b9b9ad3b8d676c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09771",
    "kind": "arxiv",
    "version": 1
  }
}