Pith Number

pith:7UBMSA5U

pith:2014:7UBMSA5UZAHKZBOVHKFHJ73DQ6

not attested not anchored not stored refs pending

On the maximal operators of Riesz logarithmic means of Vilenkin-Fourier series

George Tephnadze

arxiv:1410.7975 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{7UBMSA5UZAHKZBOVHKFHJ73DQ6}

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	2026-05-18T02:39:07.693569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd02c903b4c80eac85d53a8a74ff638795588fbfac39976e7503b3bded6edb59

Aliases

arxiv: 1410.7975 · arxiv_version: 1410.7975v1 · doi: 10.48550/arxiv.1410.7975 · pith_short_12: 7UBMSA5UZAHK · pith_short_16: 7UBMSA5UZAHKZBOV · pith_short_8: 7UBMSA5U

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/7UBMSA5UZAHKZBOVHKFHJ73DQ6 \
  | 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: fd02c903b4c80eac85d53a8a74ff638795588fbfac39976e7503b3bded6edb59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "693851ef619894e5f18cf30d180699923af51e443a7aa260504048850321c271",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-10-05T03:49:36Z",
    "title_canon_sha256": "3cae5d2f599d3d0b767bf0954997237af47d62f3756ae2fff3a9be049fb134a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7975",
    "kind": "arxiv",
    "version": 1
  }
}