Pith Number

pith:OHNJ5KFA

pith:2021:OHNJ5KFAKN54GISF34PAULPQDM

not attested not anchored not stored refs pending

Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces

Daniel Stern, Iosif Polterovich, Micka\"el Nahon, Mikhail Karpukhin

arxiv:2106.15043 v1 · 2021-06-29 · math.DG · 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{OHNJ5KFAKN54GISF34PAULPQDM}

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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.

Cited by

1 paper in Pith

Eigenvalue optimization via a first-variation formula

Receipt and verification

First computed	2026-07-05T02:53:04.580239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71da9ea8a0537bc32245df1e0a2df01b34420233131d56693936fce4c8f59001

Aliases

arxiv: 2106.15043 · arxiv_version: 2106.15043v1 · doi: 10.48550/arxiv.2106.15043 · pith_short_12: OHNJ5KFAKN54 · pith_short_16: OHNJ5KFAKN54GISF · pith_short_8: OHNJ5KFA

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/OHNJ5KFAKN54GISF34PAULPQDM \
  | 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: 71da9ea8a0537bc32245df1e0a2df01b34420233131d56693936fce4c8f59001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dc09c5060c482b65481dd452558b8cbbdeed0c16feac83b5db84c93b7a38164",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-06-29T00:52:44Z",
    "title_canon_sha256": "d3e0858df2589c4022ff36cb52eb1fd5db83c96362a457d734e91d10a35e5669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.15043",
    "kind": "arxiv",
    "version": 1
  }
}