Pith Number

pith:R4R4BHU4

pith:2022:R4R4BHU4CDEBYD6WS2PNQRIIJO

not attested not anchored not stored refs pending

Multifractal Analysis of generalized Thue-Morse trigonometric polynomials

Aihua Fan, J\"org Schmeling, Weixiao Shen

arxiv:2212.13234 v1 · 2022-12-26 · 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{R4R4BHU4CDEBYD6WS2PNQRIIJO}

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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.

Cited by

1 paper in Pith

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing

Receipt and verification

First computed	2026-07-05T05:28:18.307279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f23c09e9c10c81c0fd6969ed845084bb44db4d149524c87b1b71057587a453a

Aliases

arxiv: 2212.13234 · arxiv_version: 2212.13234v1 · doi: 10.48550/arxiv.2212.13234 · pith_short_12: R4R4BHU4CDEB · pith_short_16: R4R4BHU4CDEBYD6W · pith_short_8: R4R4BHU4

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/R4R4BHU4CDEBYD6WS2PNQRIIJO \
  | 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: 8f23c09e9c10c81c0fd6969ed845084bb44db4d149524c87b1b71057587a453a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a1efdaa4bbf878e10e03fc18ae1fcf72754a8b00eb760d3663afeadf2642e7d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-12-26T17:42:13Z",
    "title_canon_sha256": "29e0cdd2893237bf39a3718d00aba8e085e5f8f7482b63d62d9d084bfbbaf090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.13234",
    "kind": "arxiv",
    "version": 1
  }
}