Pith Number

pith:SCOQ6AJE

pith:2012:SCOQ6AJEVNRRO2CPJISPNCACR5

not attested not anchored not stored refs pending

A short proof of some recent results related to Ces{\`a}ro function spaces

Lech Maligranda, Sergey V. Astashkin

arxiv:1212.0346 v1 · 2012-12-03 · 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{SCOQ6AJEVNRRO2CPJISPNCACR5}

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	2026-05-18T03:39:17.793813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

909d0f0124ab6317684f4a24f688028f71dc76dd96d3ef32e087a1957bd1ffd8

Aliases

arxiv: 1212.0346 · arxiv_version: 1212.0346v1 · doi: 10.48550/arxiv.1212.0346 · pith_short_12: SCOQ6AJEVNRR · pith_short_16: SCOQ6AJEVNRRO2CP · pith_short_8: SCOQ6AJE

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/SCOQ6AJEVNRRO2CPJISPNCACR5 \
  | 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: 909d0f0124ab6317684f4a24f688028f71dc76dd96d3ef32e087a1957bd1ffd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92706c824c0fbd857a0bbd735d7f612c9079d01f49d96e08aaca9c3ad6c15979",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-03T10:38:24Z",
    "title_canon_sha256": "6ab6323e859a42525fc310d49afc4d01ede2a4ecfc23c91cdbf5338f86c33dc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0346",
    "kind": "arxiv",
    "version": 1
  }
}