Pith Number

pith:NX4UDOKY

pith:2018:NX4UDOKYYIXSAZWLWL5GCFQZ7F

not attested not anchored not stored refs pending

Some inequalities for Ces\`aro Means of double Vilenkin-Fourier Series

Lars-Erik Persson, Tsitsino Tepnadze

arxiv:1901.01101 v1 · 2018-12-06 · 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{NX4UDOKYYIXSAZWLWL5GCFQZ7F}

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	2026-05-17T23:56:57.084666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6df941b958c22f2066cbb2fa611619f96ee5e1837f9e8ca5c5daf8267da79077

Aliases

arxiv: 1901.01101 · arxiv_version: 1901.01101v1 · doi: 10.48550/arxiv.1901.01101 · pith_short_12: NX4UDOKYYIXS · pith_short_16: NX4UDOKYYIXSAZWL · pith_short_8: NX4UDOKY

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/NX4UDOKYYIXSAZWLWL5GCFQZ7F \
  | 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: 6df941b958c22f2066cbb2fa611619f96ee5e1837f9e8ca5c5daf8267da79077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3391cf392f17dcded7a2c2877b3ba1db78bb277816ba15ca5edc28d74b8a08b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-06T15:20:08Z",
    "title_canon_sha256": "b35bc57ab1802ef9370c0a6658bc9b958ad9f5636e4d89e920591d86d8073077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01101",
    "kind": "arxiv",
    "version": 1
  }
}