Pith Number

pith:IP36XULH

pith:2015:IP36XULHUYQI3PFJ7O5U2IPKXQ

not attested not anchored not stored refs pending

On parametric Thue-Morse Sequences and Lacunary Trigonometric Products

Christoph Aistleitner, Gerhard Larcher, Roswitha Hofer

arxiv:1502.06738 v2 · 2015-02-24 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IP36XULHUYQI3PFJ7O5U2IPKXQ}

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	2026-05-18T02:26:12.247870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43f7ebd167a6208dbca9fbbb4d21eabc1224088077d0813b6892663b9a17ca7d

Aliases

arxiv: 1502.06738 · arxiv_version: 1502.06738v2 · doi: 10.48550/arxiv.1502.06738 · pith_short_12: IP36XULHUYQI · pith_short_16: IP36XULHUYQI3PFJ · pith_short_8: IP36XULH

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/IP36XULHUYQI3PFJ7O5U2IPKXQ \
  | 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: 43f7ebd167a6208dbca9fbbb4d21eabc1224088077d0813b6892663b9a17ca7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e4118196c730da3e53c3eb9ad5c3d64d039b0be80cf0a53d8bd6b7f52719b14",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-24T10:00:51Z",
    "title_canon_sha256": "f2478aa73af569e8ff758cb93955ad486992cf23c323f82254428ae64e9533e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06738",
    "kind": "arxiv",
    "version": 2
  }
}