Pith Number

pith:JPG7QRGT

pith:2000:JPG7QRGTQGA2JFMRWTUZIUYFXU

not attested not anchored not stored refs pending

Model sets: a survey

Robert V. Moody

arxiv:math/0002020 v1 · 2000-02-02 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPG7QRGTQGA2JFMRWTUZIUYFXU}

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

1 paper in Pith

Pure point measures with sparse support and sparse Fourier--Bohr support

Receipt and verification

First computed	2026-07-04T14:34:15.186508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bcdf844d38181a49591b4e9945305bd1da8acf36a8e12bc9868bd8b1092ba59

Aliases

arxiv: math/0002020 · arxiv_version: math/0002020v1 · doi: 10.48550/arxiv.math/0002020 · pith_short_12: JPG7QRGTQGA2 · pith_short_16: JPG7QRGTQGA2JFMR · pith_short_8: JPG7QRGT

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/JPG7QRGTQGA2JFMRWTUZIUYFXU \
  | 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: 4bcdf844d38181a49591b4e9945305bd1da8acf36a8e12bc9868bd8b1092ba59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ce77bac698fe27853ff3ede0ffb35fbcf7c2c7182106e37add74b3f5416461f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2000-02-02T22:31:09Z",
    "title_canon_sha256": "ed93fc0c18b44b6df3ce222a8b904391ae9a489d3d83466fa25d3a61fdebfa82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0002020",
    "kind": "arxiv",
    "version": 1
  }
}