Pith Number

pith:PDUQFWJM

pith:2019:PDUQFWJMWBNJ4677OTDRTCX62P

not attested not anchored not stored refs pending

Domains without dense Steklov nodal sets

Jeffrey Galkowski, Oscar Bruno

arxiv:1908.03307 v1 · 2019-08-09 · math.AP · 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{PDUQFWJMWBNJ4677OTDRTCX62P}

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	2026-07-04T23:52:38.722622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78e902d92cb05a9e7bff74c7198afed3e50e52b319f14cb0dd7b44aa473fb792

Aliases

arxiv: 1908.03307 · arxiv_version: 1908.03307v1 · doi: 10.48550/arxiv.1908.03307 · pith_short_12: PDUQFWJMWBNJ · pith_short_16: PDUQFWJMWBNJ4677 · pith_short_8: PDUQFWJM

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/PDUQFWJMWBNJ4677OTDRTCX62P \
  | 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: 78e902d92cb05a9e7bff74c7198afed3e50e52b319f14cb0dd7b44aa473fb792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08910eff7dd653ff94b6bf4e6e73f47ff2005f0f9b662c1798b84d65281ad2b7",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-09T04:30:05Z",
    "title_canon_sha256": "7eb8affee708046fb95908d8e8e0065b7c1854fb639d6a2ac2c73e4827d8f8a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03307",
    "kind": "arxiv",
    "version": 1
  }
}