Pith Number

pith:THOOXTTC

pith:2011:THOOXTTCRSNBIE2YNEDMDWVMOR

not attested not anchored not stored refs pending

Tuning and plateaux for the entropy of $\alpha$-continued fractions

Carlo Carminati, Giulio Tiozzo

arxiv:1111.2554 v2 · 2011-11-10 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THOOXTTCRSNBIE2YNEDMDWVMOR}

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	2026-05-18T01:59:42.470660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99dcebce628c9a1413586906c1daac74795b60594b6af2038784775cafe3bb56

Aliases

arxiv: 1111.2554 · arxiv_version: 1111.2554v2 · doi: 10.48550/arxiv.1111.2554 · pith_short_12: THOOXTTCRSNB · pith_short_16: THOOXTTCRSNBIE2Y · pith_short_8: THOOXTTC

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/THOOXTTCRSNBIE2YNEDMDWVMOR \
  | 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: 99dcebce628c9a1413586906c1daac74795b60594b6af2038784775cafe3bb56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a58ee3acffdb1730d4129ccd6df5464ea3da9d7b9d2120c628f4f2ade0d9b54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-10T18:44:30Z",
    "title_canon_sha256": "8cbe76aafb732e224c325533429a0ddcb2c0acb8a3193e686533df70f2347cd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2554",
    "kind": "arxiv",
    "version": 2
  }
}