Pith Number

pith:WIF663UV

pith:2012:WIF663UV56NL7VV6YA7DLB56QS

not attested not anchored not stored refs pending

Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces

Gerasim Kokarev, Iosif Polterovich, Mikhail Karpukhin

arxiv:1209.4869 v3 · 2012-09-21 · math.DG · 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{WIF663UV56NL7VV6YA7DLB56QS}

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	2026-05-18T03:06:22.497580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b20bef6e95ef9abfd6bec03e3587be84881055cc914d09c9b0e195e67437316a

Aliases

arxiv: 1209.4869 · arxiv_version: 1209.4869v3 · doi: 10.48550/arxiv.1209.4869 · pith_short_12: WIF663UV56NL · pith_short_16: WIF663UV56NL7VV6 · pith_short_8: WIF663UV

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/WIF663UV56NL7VV6YA7DLB56QS \
  | 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: b20bef6e95ef9abfd6bec03e3587be84881055cc914d09c9b0e195e67437316a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b19f3be91ee675ab5c33c188062e8e2c8cc95d4c3a86ce24039ccb52c48c586",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-21T17:35:52Z",
    "title_canon_sha256": "2d77c31891202a195438bc50b53e031f612f99d072edf4c6428e414805fc80ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4869",
    "kind": "arxiv",
    "version": 3
  }
}