Pith Number

pith:6F6I7HN3

pith:2017:6F6I7HN3EQICHSGRBQP3CD25LH

not attested not anchored not stored refs pending

Arithmetical properties of real numbers related to beta-expansions

Hajime Kaneko

arxiv:1708.03093 v1 · 2017-08-10 · 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{6F6I7HN3EQICHSGRBQP3CD25LH}

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	2026-05-18T00:38:14.805571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f17c8f9dbb241023c8d10c1fb10f5d59d283a7e7cbaf973b0818e3709292a2f4

Aliases

arxiv: 1708.03093 · arxiv_version: 1708.03093v1 · doi: 10.48550/arxiv.1708.03093 · pith_short_12: 6F6I7HN3EQIC · pith_short_16: 6F6I7HN3EQICHSGR · pith_short_8: 6F6I7HN3

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/6F6I7HN3EQICHSGRBQP3CD25LH \
  | 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: f17c8f9dbb241023c8d10c1fb10f5d59d283a7e7cbaf973b0818e3709292a2f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c850630aa624f14f407f0fe1d781f6c2f9375c17049cb29d4b0b47c6aa1281ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-10T06:43:54Z",
    "title_canon_sha256": "81917d743c2ea098be8feca7409c121615d21681189b10ccc632d88706519a60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03093",
    "kind": "arxiv",
    "version": 1
  }
}