Pith Number

pith:KD4M7CBD

pith:2015:KD4M7CBDGJ3EOQJPSZ2J3XIDAQ

not attested not anchored not stored refs pending

On the number of nodal domains of toral eigenfunctions

Igor Wigman, Jeremiah Buckley

arxiv:1511.04382 v3 · 2015-11-13 · math.CA · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KD4M7CBDGJ3EOQJPSZ2J3XIDAQ}

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	2026-05-18T01:00:40.172748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f8cf8823327647412f96749ddd030412f945c37cc93bfcf991da1730981e81

Aliases

arxiv: 1511.04382 · arxiv_version: 1511.04382v3 · doi: 10.48550/arxiv.1511.04382 · pith_short_12: KD4M7CBDGJ3E · pith_short_16: KD4M7CBDGJ3EOQJP · pith_short_8: KD4M7CBD

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/KD4M7CBDGJ3EOQJPSZ2J3XIDAQ \
  | 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: 50f8cf8823327647412f96749ddd030412f945c37cc93bfcf991da1730981e81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfceb4cfc4895c05664c1ae28645362e9f818b3b519dd7d86667815b0289b860",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-13T18:04:16Z",
    "title_canon_sha256": "735188674f14ee89d30e8716753cba500bee1840653f21f4f77e4f960127fcbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04382",
    "kind": "arxiv",
    "version": 3
  }
}