Pith Number

pith:V7DE2HAW

pith:2015:V7DE2HAWYZOSQG7PKJIFN4MX3D

not attested not anchored not stored refs pending

A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers

Dong Han Kim, Yann Bugeaud

arxiv:1510.00279 v3 · 2015-10-01 · 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{V7DE2HAWYZOSQG7PKJIFN4MX3D}

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	2026-05-18T00:36:51.753962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afc64d1c16c65d281bef525056f197d8d0dc8f6ac740be6689fa13d4501a93b3

Aliases

arxiv: 1510.00279 · arxiv_version: 1510.00279v3 · doi: 10.48550/arxiv.1510.00279 · pith_short_12: V7DE2HAWYZOS · pith_short_16: V7DE2HAWYZOSQG7P · pith_short_8: V7DE2HAW

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/V7DE2HAWYZOSQG7PKJIFN4MX3D \
  | 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: afc64d1c16c65d281bef525056f197d8d0dc8f6ac740be6689fa13d4501a93b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d56f5df10c44da63b7dd783b2901d74c1ac7860d564d23821c67473adaf8f5f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-01T15:15:26Z",
    "title_canon_sha256": "03bb98b07b3d7df708fabb31d18081648c72345f975db010707b15d20f76136d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00279",
    "kind": "arxiv",
    "version": 3
  }
}