Pith Number

pith:URPZWFIM

pith:2009:URPZWFIMCYYVA6CMV664VMIXFE

not attested not anchored not stored refs pending

Construction of normal numbers with respect to the $Q$-Cantor series expansion for certain $Q$

Bill Mance

arxiv:0911.1485 v2 · 2009-11-08 · 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{URPZWFIMCYYVA6CMV664VMIXFE}

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	2026-05-18T04:14:29.660805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a45f9b150c163150784cafbdcab1172900822a651391223ec418fb8e99d49c48

Aliases

arxiv: 0911.1485 · arxiv_version: 0911.1485v2 · doi: 10.48550/arxiv.0911.1485 · pith_short_12: URPZWFIMCYYV · pith_short_16: URPZWFIMCYYVA6CM · pith_short_8: URPZWFIM

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/URPZWFIMCYYVA6CMV664VMIXFE \
  | 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: a45f9b150c163150784cafbdcab1172900822a651391223ec418fb8e99d49c48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "951a4e3d2cfb4a7beff66c426750d817b2b885ba56a5f3ed6f679f4f7997c03b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-11-08T03:16:59Z",
    "title_canon_sha256": "31eb3242b4e765740a3b7ef8356ad5add5ff60f0b754db185029b16f57582ccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1485",
    "kind": "arxiv",
    "version": 2
  }
}