Pith Number

pith:ZXRVBUOH

pith:2019:ZXRVBUOHU64T62I7IQU2MBZC7A

not attested not anchored not stored refs pending

On the Partial Sums and Marcinkiewicz and Fej\'er Means on the One- and Two-dimensional One-parameter Martingale Hardy Spaces

George Tephnadze

arxiv:1902.06696 v1 · 2019-02-09 · 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{ZXRVBUOHU64T62I7IQU2MBZC7A}

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	2026-05-17T23:53:44.768360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cde350d1c7a7b93f691f4429a60722f82b5f58fd812a744daddec964c0b4de56

Aliases

arxiv: 1902.06696 · arxiv_version: 1902.06696v1 · doi: 10.48550/arxiv.1902.06696 · pith_short_12: ZXRVBUOHU64T · pith_short_16: ZXRVBUOHU64T62I7 · pith_short_8: ZXRVBUOH

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/ZXRVBUOHU64T62I7IQU2MBZC7A \
  | 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: cde350d1c7a7b93f691f4429a60722f82b5f58fd812a744daddec964c0b4de56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8173cc8b15b0f6a6947208160cfdabd312820f351c663ea5290b3182ecdec9d3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-02-09T22:20:29Z",
    "title_canon_sha256": "513aa7780136446a8a7761dc87aa43a265a30e71fc99ee00f6bb7ab42fdb939f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06696",
    "kind": "arxiv",
    "version": 1
  }
}