Pith Number

pith:W2IMT2RB

pith:2009:W2IMT2RBIYU7XDAEZVEZKMMTME

not attested not anchored not stored refs pending

The entropy of alpha-continued fractions: analytical results

Giulio Tiozzo

arxiv:0912.2379 v2 · 2009-12-13 · 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{W2IMT2RBIYU7XDAEZVEZKMMTME}

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	2026-05-18T04:09:54.694277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b690c9ea214629fb8c04cd49953193613bde28c22097983f2b94cf4788934210

Aliases

arxiv: 0912.2379 · arxiv_version: 0912.2379v2 · doi: 10.48550/arxiv.0912.2379 · pith_short_12: W2IMT2RBIYU7 · pith_short_16: W2IMT2RBIYU7XDAE · pith_short_8: W2IMT2RB

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/W2IMT2RBIYU7XDAEZVEZKMMTME \
  | 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: b690c9ea214629fb8c04cd49953193613bde28c22097983f2b94cf4788934210

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58d2aa1a0084022011f6a2f4fd3fde626ef6a79170f39d839b3174590e57c82a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-12-13T20:33:58Z",
    "title_canon_sha256": "514070e6abea250815def39127fec808063479844e189f744b3a62c7480c085d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2379",
    "kind": "arxiv",
    "version": 2
  }
}