Pith Number

pith:CQ7RJ24A

pith:2014:CQ7RJ24AT6Z3QXK2CCMVGQZZJL

not attested not anchored not stored refs pending

Generalised L\"uroth expansions and a family of Minkowski's Question-Mark functions

Aubin Arroyo

arxiv:1407.0354 v1 · 2014-07-01 · 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{CQ7RJ24AT6Z3QXK2CCMVGQZZJL}

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	2026-05-18T02:48:34.217849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143f14eb809fb3b85d5a10995343394aca6296038c0cb3c7b013339295987e89

Aliases

arxiv: 1407.0354 · arxiv_version: 1407.0354v1 · doi: 10.48550/arxiv.1407.0354 · pith_short_12: CQ7RJ24AT6Z3 · pith_short_16: CQ7RJ24AT6Z3QXK2 · pith_short_8: CQ7RJ24A

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/CQ7RJ24AT6Z3QXK2CCMVGQZZJL \
  | 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: 143f14eb809fb3b85d5a10995343394aca6296038c0cb3c7b013339295987e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f7918ee7bdee1b95e84cbef9e79665a4f766fe8cd49d4da5887a7ac81fb8fe1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-07-01T18:46:24Z",
    "title_canon_sha256": "dac316242a3343d26fbad3571007bc35419d8a4251093c1dbce72f3c61e8e691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0354",
    "kind": "arxiv",
    "version": 1
  }
}