Pith Number

pith:MPZVNIXX

pith:2025:MPZVNIXXJYEYLDZLK4PJ5BG4TE

not attested not anchored not stored refs pending

Dirichlet-to-Neumann operator for the Helmholtz problem with general wavenumbers on the $n$-sphere

Benedikt Gr\"a{\ss}le, Stefan A. Sauter

arxiv:2503.18837 v3 · 2025-03-24 · math.AP · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPZVNIXXJYEYLDZLK4PJ5BG4TE}

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.

Cited by

2 papers in Pith

Limiting Absorption Principle for the Helmholtz Equation with Sign-Changing Coefficients in Multilayer Spheres

BEM for variable coefficient second-order problems

Receipt and verification

First computed	2026-06-23T01:12:45.317442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f356a2f74e09858f2b571e9e84dc990a5273e76cda81f08dcf17f7cbf2bcfb

Aliases

arxiv: 2503.18837 · arxiv_version: 2503.18837v3 · doi: 10.48550/arxiv.2503.18837 · pith_short_12: MPZVNIXXJYEY · pith_short_16: MPZVNIXXJYEYLDZL · pith_short_8: MPZVNIXX

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/MPZVNIXXJYEYLDZLK4PJ5BG4TE \
  | 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: 63f356a2f74e09858f2b571e9e84dc990a5273e76cda81f08dcf17f7cbf2bcfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "889d0f8fce7c19994d2f7443d1f8d2c31311d5aa44272f983199323b58c1ba27",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-03-24T16:11:03Z",
    "title_canon_sha256": "91ab46c1165bc309d3cc5074f35e4a9859a86ecabe85a052daa48372fe26c9c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.18837",
    "kind": "arxiv",
    "version": 3
  }
}