Pith Number

pith:WO542CP2

pith:2021:WO542CP2JERRI3N6L5MFZKBXUL

not attested not anchored not stored refs pending

High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem

Euan A. Spence, Jeffrey Galkowski, Pierre Marchand

arxiv:2109.06017 v2 · 2021-09-13 · 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{WO542CP2JERRI3N6L5MFZKBXUL}

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	2026-07-05T04:58:52.689391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3bbcd09fa4923146dbe5f585ca837a2dafef74c1059b93fb1bcd97e8c85c7c5

Aliases

arxiv: 2109.06017 · arxiv_version: 2109.06017v2 · doi: 10.48550/arxiv.2109.06017 · pith_short_12: WO542CP2JERR · pith_short_16: WO542CP2JERRI3N6 · pith_short_8: WO542CP2

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/WO542CP2JERRI3N6L5MFZKBXUL \
  | 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: b3bbcd09fa4923146dbe5f585ca837a2dafef74c1059b93fb1bcd97e8c85c7c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59c929ff6e2593175f5de0065be4555ef311fe03ebcd95293ea013b70b3d7f72",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-09-13T14:51:04Z",
    "title_canon_sha256": "b8fa409c5fa4e8d7315933e0ca91a828472b280ef6891b808a375d4f63e214c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.06017",
    "kind": "arxiv",
    "version": 2
  }
}