Pith Number

pith:QR7WBIWS

pith:2002:QR7WBIWSNZZAA7PCRKMUWFTTU3

not attested not anchored not stored refs pending

On nodal lines of Neumann eigenfunctions

Krzysztof Burdzy

arxiv:math/0203017 v1 · 2002-03-02 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QR7WBIWSNZZAA7PCRKMUWFTTU3}

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	2026-07-04T14:35:57.247168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

847f60a2d26e72007de28a994b1673a6c90d5467d5e95c42f1766f601eef26bc

Aliases

arxiv: math/0203017 · arxiv_version: math/0203017v1 · doi: 10.48550/arxiv.math/0203017 · pith_short_12: QR7WBIWSNZZA · pith_short_16: QR7WBIWSNZZAA7PC · pith_short_8: QR7WBIWS

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/QR7WBIWSNZZAA7PCRKMUWFTTU3 \
  | 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: 847f60a2d26e72007de28a994b1673a6c90d5467d5e95c42f1766f601eef26bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9327525980d7839b6263f01e2e96070117d8c62b3214b139a33cdaa7580ba9e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2002-03-02T17:13:29Z",
    "title_canon_sha256": "1a13aca5ba5580ef107f79564f37bcb2ce9a07547baad4916d8331d4546a22ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203017",
    "kind": "arxiv",
    "version": 1
  }
}