Pith Number

pith:WKHNO7QN

pith:2016:WKHNO7QNWMPDN4XHZ5F2JF6LOF

not attested not anchored not stored refs pending

Gowers norms for the Thue-Morse and Rudin-Shapiro sequences

Jakub Konieczny

arxiv:1611.09985 v2 · 2016-11-30 · math.NT · cs.FL · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKHNO7QNWMPDN4XHZ5F2JF6LOF}

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	2026-05-18T00:48:00.854945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28ed77e0db31e36f2e7cf4ba497cb715fb4ecb489ebc2468423e03c27963670

Aliases

arxiv: 1611.09985 · arxiv_version: 1611.09985v2 · doi: 10.48550/arxiv.1611.09985 · pith_short_12: WKHNO7QNWMPD · pith_short_16: WKHNO7QNWMPDN4XH · pith_short_8: WKHNO7QN

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/WKHNO7QNWMPDN4XHZ5F2JF6LOF \
  | 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: b28ed77e0db31e36f2e7cf4ba497cb715fb4ecb489ebc2468423e03c27963670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "063a464faad464c6feb0d23773e0b348c8fc0e220cd6bfb45db779f8dd6cded9",
    "cross_cats_sorted": [
      "cs.FL",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-30T03:24:17Z",
    "title_canon_sha256": "0e650d87faba71b02f836e5659b2a01b2bcc12519c7a909bcccb68cef8b59f85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09985",
    "kind": "arxiv",
    "version": 2
  }
}