Pith Number

pith:WEW2IMUW

pith:2017:WEW2IMUWP2WFP4RGHUAUB6RGUW

not attested not anchored not stored refs pending

A Local Faber-Krahn inequality and Applications to Schr\"odinger's Equation

Janna Lierl, Stefan Steinerberger

arxiv:1711.07541 v1 · 2017-11-20 · math.AP · 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{WEW2IMUWP2WFP4RGHUAUB6RGUW}

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	2026-05-18T00:29:58.751355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b12da432967eac57f2263d0140fa26a5a6e150e14e0d98c1fe28eaa5c5e66dea

Aliases

arxiv: 1711.07541 · arxiv_version: 1711.07541v1 · doi: 10.48550/arxiv.1711.07541 · pith_short_12: WEW2IMUWP2WF · pith_short_16: WEW2IMUWP2WFP4RG · pith_short_8: WEW2IMUW

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/WEW2IMUWP2WFP4RGHUAUB6RGUW \
  | 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: b12da432967eac57f2263d0140fa26a5a6e150e14e0d98c1fe28eaa5c5e66dea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "628f9f8b41deb806895a2e083d7922e2a1017cb980ca6b6ac05dca812b39fa3a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-20T21:01:17Z",
    "title_canon_sha256": "b838bc43669d76a67cff3beaf0e413a0793e1a2ad4a8ce181f397df9cb5cbe20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07541",
    "kind": "arxiv",
    "version": 1
  }
}