Pith Number

pith:XGOWAKZX

pith:1999:XGOWAKZXY5ATY5ZPLI67HUCYN4

not attested not anchored not stored refs pending

A note on Farey sequences and Hausdorff dimension

Wellington da Cruz

arxiv:math-ph/9902018 v1 · 1999-02-15 · math-ph · cs.NA · math.MP · math.NA · 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{XGOWAKZXY5ATY5ZPLI67HUCYN4}

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	2026-06-03T22:06:15.007292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b99d602b37c7413c772f5a3df3d0586f15ab667932107364a9947c1bc17980f6

Aliases

arxiv: math-ph/9902018 · arxiv_version: math-ph/9902018v1 · doi: 10.48550/arxiv.math-ph/9902018 · pith_short_12: XGOWAKZXY5AT · pith_short_16: XGOWAKZXY5ATY5ZP · pith_short_8: XGOWAKZX

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/XGOWAKZXY5ATY5ZPLI67HUCYN4 \
  | 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: b99d602b37c7413c772f5a3df3d0586f15ab667932107364a9947c1bc17980f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "925a2618fff5b13783bec4ed4a1f7eba0ce9e89e96b6935d4f5a599ea2e24fad",
    "cross_cats_sorted": [
      "cs.NA",
      "math.MP",
      "math.NA",
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-02-15T13:11:06Z",
    "title_canon_sha256": "c61cb7326c1c3e34e27a44de412d43af49419d019934c66c21ed107f013f7ffa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9902018",
    "kind": "arxiv",
    "version": 1
  }
}