Pith Number

pith:B5TSCNIO

pith:2008:B5TSCNIOT3LOTEFEIHQ4ILMPUS

not attested not anchored not stored refs pending

On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues

Alexandre Girouard, Iosif Polterovich

arxiv:0808.2968 v2 · 2008-08-21 · math.SP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5TSCNIOT3LOTEFEIHQ4ILMPUS}

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	2026-05-18T04:01:39.877876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f6721350e9ed6e990a441e1c42d8fa4a0c080fb23a0bd3bcef24db34d46dd90

Aliases

arxiv: 0808.2968 · arxiv_version: 0808.2968v2 · doi: 10.48550/arxiv.0808.2968 · pith_short_12: B5TSCNIOT3LO · pith_short_16: B5TSCNIOT3LOTEFE · pith_short_8: B5TSCNIO

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/B5TSCNIOT3LOTEFEIHQ4ILMPUS \
  | 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: 0f6721350e9ed6e990a441e1c42d8fa4a0c080fb23a0bd3bcef24db34d46dd90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75e23008e5fc78d26bfaa9bb4ef7208b5a46b4dfa85de715126e54dccd6a62e2",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2008-08-21T18:00:54Z",
    "title_canon_sha256": "848f6a735333ea4737bf8f2a600b6a72fddf7fafb9bd71aadc66b6911b017856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2968",
    "kind": "arxiv",
    "version": 2
  }
}