Pith Number

pith:3OKZQWJO

pith:2018:3OKZQWJO2EEI4QGGHDRMYYZMVW

not attested not anchored not stored refs pending

The Hilbert transform and orthogonal martingales in Banach spaces

Adam Os\k{e}kowski, Ivan Yaroslavtsev

arxiv:1805.03948 v2 · 2018-05-10 · math.FA · math.CV · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OKZQWJO2EEI4QGGHDRMYYZMVW}

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	2026-05-17T23:41:46.600370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db9598592ed1088e40c638e2cc632cadb0634a8cf4dbc03904af505c6432ce6b

Aliases

arxiv: 1805.03948 · arxiv_version: 1805.03948v2 · doi: 10.48550/arxiv.1805.03948 · pith_short_12: 3OKZQWJO2EEI · pith_short_16: 3OKZQWJO2EEI4QGG · pith_short_8: 3OKZQWJO

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/3OKZQWJO2EEI4QGGHDRMYYZMVW \
  | 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: db9598592ed1088e40c638e2cc632cadb0634a8cf4dbc03904af505c6432ce6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa29a6563c3d5530a96e0ef4cc0bb5e16e9474a9f2ba3d9072df9593300e649",
    "cross_cats_sorted": [
      "math.CV",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-10T13:08:10Z",
    "title_canon_sha256": "0f12c6dc585b12a4dd5438b0eca477e1007f3c26672403c8b6e701dc90ae4a4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03948",
    "kind": "arxiv",
    "version": 2
  }
}