Pith Number

pith:I67X6XB6

pith:2019:I67X6XB64RG65KB6MDCRZIL7ES

not attested not anchored not stored refs pending

On the maximum order complexity of the Thue-Morse and Rudin-Shapiro sequence

Arne Winterhof, Zhimin Sun

arxiv:1910.13723 v1 · 2019-10-30 · 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{I67X6XB64RG65KB6MDCRZIL7ES}

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	2026-07-05T00:15:55.394562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47bf7f5c3ee44deea83e60c51ca17f24ae2d38aa8782afb4f2c300d648057175

Aliases

arxiv: 1910.13723 · arxiv_version: 1910.13723v1 · doi: 10.48550/arxiv.1910.13723 · pith_short_12: I67X6XB64RG6 · pith_short_16: I67X6XB64RG65KB6 · pith_short_8: I67X6XB6

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/I67X6XB64RG65KB6MDCRZIL7ES \
  | 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: 47bf7f5c3ee44deea83e60c51ca17f24ae2d38aa8782afb4f2c300d648057175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eed74a6c51afc93df8ba9bfa668cd2cda181656d6bdf9ace5501d171cb9e81d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-10-30T08:54:05Z",
    "title_canon_sha256": "c0002ce789e79d66e331a20f0d075be01b0da145d19518d1ab0913f1ce0e88d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.13723",
    "kind": "arxiv",
    "version": 1
  }
}