Pith Number

pith:2NLOG2PP

pith:2018:2NLOG2PPPEGYD6RIFVTGMRVFUX

not attested not anchored not stored refs pending

Faber-Krahn type inequalities and uniqueness of positive solutions on metric measure spaces

Anup Biswas, Janna Lierl

arxiv:1810.11577 v1 · 2018-10-27 · math.PR · math.AP · 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{2NLOG2PPPEGYD6RIFVTGMRVFUX}

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	2026-05-18T00:02:08.205572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d356e369ef790d81fa282d666646a5a5c1598409be6832ad4b5b4b143c43dbb4

Aliases

arxiv: 1810.11577 · arxiv_version: 1810.11577v1 · doi: 10.48550/arxiv.1810.11577 · pith_short_12: 2NLOG2PPPEGY · pith_short_16: 2NLOG2PPPEGYD6RI · pith_short_8: 2NLOG2PP

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/2NLOG2PPPEGYD6RIFVTGMRVFUX \
  | 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: d356e369ef790d81fa282d666646a5a5c1598409be6832ad4b5b4b143c43dbb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c066749925a37853b45ca19a572c8d32c9a1997331c5ddcfc1e02f3bc7bf441",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-27T02:23:38Z",
    "title_canon_sha256": "f77223b28ef37a2f5fa6ec6584e73b9472c9baf330d30db9a3598914a935a1ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11577",
    "kind": "arxiv",
    "version": 1
  }
}