Pith Number

pith:KYDA6AO4

pith:2017:KYDA6AO463NTDDFV5CWXHHZSSX

not attested not anchored not stored refs pending

Normality of the Thue--Morse sequence along Piatetski-Shapiro sequences

Lukas Spiegelhofer

arxiv:1707.05112 v1 · 2017-07-17 · 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{KYDA6AO463NTDDFV5CWXHHZSSX}

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	2026-05-18T00:40:11.352682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56060f01dcf6db318cb5e8ad739f3295ffb6c74d60c6a208861b86c619a3f661

Aliases

arxiv: 1707.05112 · arxiv_version: 1707.05112v1 · doi: 10.48550/arxiv.1707.05112 · pith_short_12: KYDA6AO463NT · pith_short_16: KYDA6AO463NTDDFV · pith_short_8: KYDA6AO4

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/KYDA6AO463NTDDFV5CWXHHZSSX \
  | 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: 56060f01dcf6db318cb5e8ad739f3295ffb6c74d60c6a208861b86c619a3f661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7039453c799290466cc91820dab32361ac11e1f145e96af5e00911b18a4ca49f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-17T11:49:24Z",
    "title_canon_sha256": "4fe29edca8516114b58059411800b2d1e48205641fa27722db0f0410725b882c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05112",
    "kind": "arxiv",
    "version": 1
  }
}