Pith Number

pith:QOOWMEFT

pith:2018:QOOWMEFTACRYXBSMVKFLD4VV3Q

not attested not anchored not stored refs pending

$L_p$-spectrum and Lieb-Thirring inequalities for Schr\"odinger operators on the hyperbolic plane

Marcel Hansmann

arxiv:1810.00733 v1 · 2018-10-01 · math.SP · 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{QOOWMEFTACRYXBSMVKFLD4VV3Q}

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	2026-05-17T23:39:58.140082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

839d6610b300a38b864caa8ab1f2b5dc12a60682f13d80087cc78b847cb13ec8

Aliases

arxiv: 1810.00733 · arxiv_version: 1810.00733v1 · doi: 10.48550/arxiv.1810.00733 · pith_short_12: QOOWMEFTACRY · pith_short_16: QOOWMEFTACRYXBSM · pith_short_8: QOOWMEFT

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/QOOWMEFTACRYXBSMVKFLD4VV3Q \
  | 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: 839d6610b300a38b864caa8ab1f2b5dc12a60682f13d80087cc78b847cb13ec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38bfdc2b58daccdfb9cbe0bba6aefabae102d7d2691f8f6ae43f7f96bb0c7af9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-10-01T14:46:49Z",
    "title_canon_sha256": "3b56d34c384ba6e430f3ac972bb61d79b6e3ee2e432baf6066301a624e5b73cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00733",
    "kind": "arxiv",
    "version": 1
  }
}