Pith Number

pith:UJEXJPAA

pith:2024:UJEXJPAA6NITLIZCTHCFEGAGOG

not attested not anchored not stored refs pending

Functions of continuous Ces\'aro operators

Adolf Mirotin

arxiv:2411.15578 v1 · 2024-11-23 · 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{UJEXJPAA6NITLIZCTHCFEGAGOG}

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	2026-07-05T09:39:37.348923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24974bc00f35135a32299c452180671afe867bb6b043b70ca8b147269a1831e

Aliases

arxiv: 2411.15578 · arxiv_version: 2411.15578v1 · doi: 10.48550/arxiv.2411.15578 · pith_short_12: UJEXJPAA6NIT · pith_short_16: UJEXJPAA6NITLIZC · pith_short_8: UJEXJPAA

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/UJEXJPAA6NITLIZCTHCFEGAGOG \
  | 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: a24974bc00f35135a32299c452180671afe867bb6b043b70ca8b147269a1831e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86df84aadec80d3cb0471d65ae5e56442d4e1d8025c781dc3888bc36e8a13f45",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-11-23T14:50:30Z",
    "title_canon_sha256": "9362bcd4380c252d2d1249c86d76563a8236fa15c7a3706177fb700af94987c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15578",
    "kind": "arxiv",
    "version": 1
  }
}