Pith Number

pith:LY5ULIBS

pith:2014:LY5ULIBSA4SQZZNIBSF3FBVHQT

not attested not anchored not stored refs pending

A note on the Fourier coefficients and partial sums of Vilenkin-Fourier series

George Tephnadze

arxiv:1410.6102 v1 · 2014-10-05 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LY5ULIBSA4SQZZNIBSF3FBVHQT}

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	2026-05-18T02:39:32.578860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e3b45a03207250ce5a80c8bb286a784de8b9de636e52bc87d70ed9cd5ec08f8

Aliases

arxiv: 1410.6102 · arxiv_version: 1410.6102v1 · doi: 10.48550/arxiv.1410.6102 · pith_short_12: LY5ULIBSA4SQ · pith_short_16: LY5ULIBSA4SQZZNI · pith_short_8: LY5ULIBS

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/LY5ULIBSA4SQZZNIBSF3FBVHQT \
  | 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: 5e3b45a03207250ce5a80c8bb286a784de8b9de636e52bc87d70ed9cd5ec08f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c830352a01611389b933fa1387f83df9bdb39ddc016fbbf4111cd809fafb0ed",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-10-05T02:22:08Z",
    "title_canon_sha256": "b8f1e9707306be5750dc1411e74ae783c097ce5f3b24f06563a119a595ebd73d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6102",
    "kind": "arxiv",
    "version": 1
  }
}