Pith Number

pith:R6KTQEXF

pith:2015:R6KTQEXFSFOG7Z7C6RH7HQHMF6

not attested not anchored not stored refs pending

Continued fraction normality is not preserved along arithmetic progressions

Byron Heersink, Joseph Vandehey

arxiv:1509.05501 v1 · 2015-09-18 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6KTQEXFSFOG7Z7C6RH7HQHMF6}

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	2026-05-18T01:32:43.022970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f953812e5915c6fe7e2f44ff3c0ec2fbf35efd6289848e09d27a3f12f9d726f

Aliases

arxiv: 1509.05501 · arxiv_version: 1509.05501v1 · doi: 10.48550/arxiv.1509.05501 · pith_short_12: R6KTQEXFSFOG · pith_short_16: R6KTQEXFSFOG7Z7C · pith_short_8: R6KTQEXF

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/R6KTQEXFSFOG7Z7C6RH7HQHMF6 \
  | 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: 8f953812e5915c6fe7e2f44ff3c0ec2fbf35efd6289848e09d27a3f12f9d726f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef98c23f710af0a126f2242c86c15c41b9f5d59c5b07de4539b4541e4069c5ff",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-18T04:00:46Z",
    "title_canon_sha256": "9e1b4474738af7b05f52fae13e2508e42c74339f6d385a2d0f45876f4a08b6bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05501",
    "kind": "arxiv",
    "version": 1
  }
}