Pith Number

pith:VG6INHD3

pith:2015:VG6INHD3AJIBITRAB7WVNI3OPQ

not attested not anchored not stored refs pending

Bounds between Laplace and Steklov eigenvalues on nonnegatively curved manifolds

Mikhail A. Karpukhin

arxiv:1512.09038 v2 · 2015-12-30 · math.DG · math.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VG6INHD3AJIBITRAB7WVNI3OPQ}

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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

Dephasing Effects on the Dynamical Evolution of Quantum Correlations and Coherence in Neutrino Oscillations

Receipt and verification

First computed	2026-05-18T00:43:43.715418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9bc869c7b0250144e200fed56a36e7c3fb258e25ca22171c054fea216cd3525

Aliases

arxiv: 1512.09038 · arxiv_version: 1512.09038v2 · doi: 10.48550/arxiv.1512.09038 · pith_short_12: VG6INHD3AJIB · pith_short_16: VG6INHD3AJIBITRA · pith_short_8: VG6INHD3

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/VG6INHD3AJIBITRAB7WVNI3OPQ \
  | 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: a9bc869c7b0250144e200fed56a36e7c3fb258e25ca22171c054fea216cd3525

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08bb116763eea5ee2285740d0f7146f5a2ce9fd1660eaa4c81f75014efc52eae",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-30T17:59:46Z",
    "title_canon_sha256": "e4d19143050715f4a8ca46cdbc7a09d8281e5553d82c075b452d02daeaae531d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09038",
    "kind": "arxiv",
    "version": 2
  }
}