Pith Number

pith:IUVIP4RE

pith:2019:IUVIP4REVDS72BJW3YJBUTK4HV

not attested not anchored not stored refs pending

Isoperimetric relations between Dirichlet and Neumann eigenvalues

Graham Cox, Luke Steeves, Scott Scott MacLachlan

arxiv:1906.10061 v1 · 2019-06-24 · math.AP · math-ph · math.DG · 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{IUVIP4REVDS72BJW3YJBUTK4HV}

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	2026-05-17T23:42:35.582737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

452a87f224a8e5fd0536de121a4d5c3d4fa2c84c73a12c4533ea6fab871645e7

Aliases

arxiv: 1906.10061 · arxiv_version: 1906.10061v1 · doi: 10.48550/arxiv.1906.10061 · pith_short_12: IUVIP4REVDS7 · pith_short_16: IUVIP4REVDS72BJW · pith_short_8: IUVIP4RE

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/IUVIP4REVDS72BJW3YJBUTK4HV \
  | 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: 452a87f224a8e5fd0536de121a4d5c3d4fa2c84c73a12c4533ea6fab871645e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d401b9436f7c413ada7ce4bc5b2fc9b2bbc6bea5342bea1e46f2b42aec65272b",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-24T16:29:24Z",
    "title_canon_sha256": "3c5fd016a61c28df025a66980584ad274a1a48a3cf05ba3038e822979d7824cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10061",
    "kind": "arxiv",
    "version": 1
  }
}