Pith Number

pith:YXPUINW4

pith:2013:YXPUINW4AS6GBBHFWDO6HAH6OP

not attested not anchored not stored refs pending

Continued fractions with SL(2, Z)-branches: combinatorics and entropy

Carlo Carminati, Giulio Tiozzo, Stefano Isola

arxiv:1312.6845 v1 · 2013-12-24 · 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{YXPUINW4AS6GBBHFWDO6HAH6OP}

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	2026-05-18T03:03:55.852681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5df4436dc04bc6084e5b0dde380fe73d1774a08317ee30edb6dfc45d08a0404

Aliases

arxiv: 1312.6845 · arxiv_version: 1312.6845v1 · doi: 10.48550/arxiv.1312.6845 · pith_short_12: YXPUINW4AS6G · pith_short_16: YXPUINW4AS6GBBHF · pith_short_8: YXPUINW4

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/YXPUINW4AS6GBBHFWDO6HAH6OP \
  | 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: c5df4436dc04bc6084e5b0dde380fe73d1774a08317ee30edb6dfc45d08a0404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c872655c8dc3e43e31983b40926247b2e21dc73ccf97dc988057f76a1f6a9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-24T16:04:31Z",
    "title_canon_sha256": "71d52de2252a75366ba49a96505342f0a70dc71074304489be9f231543702588"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6845",
    "kind": "arxiv",
    "version": 1
  }
}