Pith Number

pith:H5RZWB5L

pith:2019:H5RZWB5LRPGYAXOB7ZKELO4IXY

not attested not anchored not stored refs pending

Optimal eigenvalue estimates for the Robin Laplacian on Riemannian manifolds

Alessandro Savo

arxiv:1904.07525 v1 · 2019-04-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5RZWB5LRPGYAXOB7ZKELO4IXY}

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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

New eigenvalue estimates involving Bessel functions

Receipt and verification

First computed	2026-05-17T23:48:24.975648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f639b07ab8bcd805dc1fe5445bb88be186fbdecf1f5a655c9c7bd7b271ed516

Aliases

arxiv: 1904.07525 · arxiv_version: 1904.07525v1 · doi: 10.48550/arxiv.1904.07525 · pith_short_12: H5RZWB5LRPGY · pith_short_16: H5RZWB5LRPGYAXOB · pith_short_8: H5RZWB5L

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/H5RZWB5LRPGYAXOB7ZKELO4IXY \
  | 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: 3f639b07ab8bcd805dc1fe5445bb88be186fbdecf1f5a655c9c7bd7b271ed516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "769d2a39c472ce5554026184a925d6e7eed8abf4586f59b1f4fb99a6a42cb9ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-16T08:09:50Z",
    "title_canon_sha256": "3b7d3a2d18a7574f47f76993a151ee6e63e987a7bdbb00f19016ae0760285db5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07525",
    "kind": "arxiv",
    "version": 1
  }
}