Pith Number

pith:C44S6CMC

pith:2015:C44S6CMCLMMYOZQXXB2RKLNFTQ

not attested not anchored not stored refs pending

Eigenvalue inequalities for Schr\"odinger operators on unbounded Lipschitz domains

Jonathan Rohleder, Jussi Behrndt, Simon Stadler

arxiv:1511.07828 v4 · 2015-11-24 · math.SP · math-ph · math.AP · 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{C44S6CMCLMMYOZQXXB2RKLNFTQ}

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	2026-05-18T01:22:53.742569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17392f09825b19876617b875152da59c25b7ee513285565377c19ecfb60e6fb2

Aliases

arxiv: 1511.07828 · arxiv_version: 1511.07828v4 · doi: 10.48550/arxiv.1511.07828 · pith_short_12: C44S6CMCLMMY · pith_short_16: C44S6CMCLMMYOZQX · pith_short_8: C44S6CMC

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/C44S6CMCLMMYOZQXXB2RKLNFTQ \
  | 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: 17392f09825b19876617b875152da59c25b7ee513285565377c19ecfb60e6fb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a785856ef607e4a2e2a72f51fc7daf06ca9847b00ea6f69a57271ccd7632046f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-11-24T18:59:23Z",
    "title_canon_sha256": "79be791299e74a280375abf125b3fb52fb0f871605b175b79784be3b38eb4261"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07828",
    "kind": "arxiv",
    "version": 4
  }
}