Pith Number

pith:ES3VAVPT

pith:2026:ES3VAVPTJFAXAPRGFJXHNDTAXC

not attested not anchored not stored refs pending

Lacunary Series, Nonlinear Functionals and Banach Space Structure

Eduard Stefanescu, Istvan Berkes, Robert Tichy

arxiv:2606.07055 v1 · 2026-06-05 · 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{ES3VAVPTJFAXAPRGFJXHNDTAXC}

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	2026-06-08T01:04:43.653957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b75055f34941703e262a6e768e60b8ac54fd4869dd98bd07f9da941d17af56

Aliases

arxiv: 2606.07055 · arxiv_version: 2606.07055v1 · doi: 10.48550/arxiv.2606.07055 · pith_short_12: ES3VAVPTJFAX · pith_short_16: ES3VAVPTJFAXAPRG · pith_short_8: ES3VAVPT

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/ES3VAVPTJFAXAPRGFJXHNDTAXC \
  | 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: 24b75055f34941703e262a6e768e60b8ac54fd4869dd98bd07f9da941d17af56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bad8fb11856b5a1d8f4e184ebf532a5e9d02ef98902063dc8618003e4000629",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-05T08:55:24Z",
    "title_canon_sha256": "b46526c3588cfb5905bf930d70ccea0fd0100d113f3315bb397679aafd756fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07055",
    "kind": "arxiv",
    "version": 1
  }
}