Pith Number

pith:THIHTFR5

pith:2009:THIHTFR5BSYVUX6CHAK3Y52W7C

not attested not anchored not stored refs pending

The entropy of alpha-continued fractions: numerical results

Alessandro Profeti, Carlo Carminati, Giulio Tiozzo, Stefano Marmi

arxiv:0912.2329 v1 · 2009-12-11 · math.DS · 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{THIHTFR5BSYVUX6CHAK3Y52W7C}

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	2026-05-18T02:10:24.358960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99d079963d0cb15a5fc23815bc7756f884589a2d2880f78ec6416159775f4f41

Aliases

arxiv: 0912.2329 · arxiv_version: 0912.2329v1 · doi: 10.48550/arxiv.0912.2329 · pith_short_12: THIHTFR5BSYV · pith_short_16: THIHTFR5BSYVUX6C · pith_short_8: THIHTFR5

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/THIHTFR5BSYVUX6CHAK3Y52W7C \
  | 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: 99d079963d0cb15a5fc23815bc7756f884589a2d2880f78ec6416159775f4f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b6a7e859b8ea8aed6ed12cd6929271793871c9c4eb8a2a4909a61ade1d14707",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-12-11T20:03:18Z",
    "title_canon_sha256": "e5496c71d226d6607c3c488fab509d050b9263d9fd71143ada01ddf71041dbf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2329",
    "kind": "arxiv",
    "version": 1
  }
}