Pith Number

pith:TXJ2RCPL

pith:2024:TXJ2RCPLGIFGYAX5QRJ45EDZOR

not attested not anchored not stored refs pending

On a Conjecture of Cusick on a sum of Cantor sets

Nikita Shulga

arxiv:2411.17379 v2 · 2024-11-26 · 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{TXJ2RCPLGIFGYAX5QRJ45EDZOR}

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

Every real number is a sum of two real numbers with diverging partial quotients

Receipt and verification

First computed	2026-07-05T11:16:52.813387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dd3a889eb320a6c02fd8453ce90797453933d8589ea4a639b4747708685701b

Aliases

arxiv: 2411.17379 · arxiv_version: 2411.17379v2 · doi: 10.48550/arxiv.2411.17379 · pith_short_12: TXJ2RCPLGIFG · pith_short_16: TXJ2RCPLGIFGYAX5 · pith_short_8: TXJ2RCPL

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/TXJ2RCPLGIFGYAX5QRJ45EDZOR \
  | 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: 9dd3a889eb320a6c02fd8453ce90797453933d8589ea4a639b4747708685701b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26593bb80e3bfe073c08dbd5e276a4b93b4cce337a59a78549835ef53df8583a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-26T12:39:28Z",
    "title_canon_sha256": "562f4adc2f2d6aa83c31c68e622a80a24a19dfa9e9273d1dce224affdf2e36d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17379",
    "kind": "arxiv",
    "version": 2
  }
}