Pith Number

pith:ZZMTFR5F

pith:2016:ZZMTFR5FXALI6YXVPDG2YUITDJ

not attested not anchored not stored refs pending

A Faber--Krahn inequality for indented and cut membranes

Nikolay Kuznetsov

arxiv:1602.07447 v1 · 2016-02-24 · 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{ZZMTFR5FXALI6YXVPDG2YUITDJ}

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	2026-05-18T01:20:03.007085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce5932c7a5b8168f62f578cdac51131a56323e11bbe823af0011e4f96c3d7519

Aliases

arxiv: 1602.07447 · arxiv_version: 1602.07447v1 · doi: 10.48550/arxiv.1602.07447 · pith_short_12: ZZMTFR5FXALI · pith_short_16: ZZMTFR5FXALI6YXV · pith_short_8: ZZMTFR5F

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/ZZMTFR5FXALI6YXVPDG2YUITDJ \
  | 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: ce5932c7a5b8168f62f578cdac51131a56323e11bbe823af0011e4f96c3d7519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64ea6196f9e663569660dab7072610127694ecaa1d699a5abc91d5634d7d8c86",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-24T09:46:57Z",
    "title_canon_sha256": "ce6d1b63b919a88ecbccedff374bb7d16568da38c958c074519b4334530bfe64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07447",
    "kind": "arxiv",
    "version": 1
  }
}