Pith Number

pith:XPWXISRH

pith:2012:XPWXISRHSEGZ4BLW2KTBTHWHHG

not attested not anchored not stored refs pending

Simultaneous generic approximation by the iterates of the Cesaro operator

Theodosios Douvropoulos

arxiv:1211.0783 v1 · 2012-11-05 · 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{XPWXISRHSEGZ4BLW2KTBTHWHHG}

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	2026-05-18T03:41:31.587268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbed744a27910d9e0576d2a6199ec739a3cc29e1349a1c760dede9fc431c4362

Aliases

arxiv: 1211.0783 · arxiv_version: 1211.0783v1 · doi: 10.48550/arxiv.1211.0783 · pith_short_12: XPWXISRHSEGZ · pith_short_16: XPWXISRHSEGZ4BLW · pith_short_8: XPWXISRH

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/XPWXISRHSEGZ4BLW2KTBTHWHHG \
  | 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: bbed744a27910d9e0576d2a6199ec739a3cc29e1349a1c760dede9fc431c4362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35e9168a86d6ae0570beeb6be37158000e497859435b27821a5d242000851280",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-05T08:05:58Z",
    "title_canon_sha256": "6375ab7a604cea46e27f1e43f5247a12268d4456a758c0e6d9b9b205c2bbcf6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0783",
    "kind": "arxiv",
    "version": 1
  }
}