Pith Number

pith:BBYTDRZM

pith:2018:BBYTDRZMMJ6B64CX5P3UOKGVRG

not attested not anchored not stored refs pending

An Operator theoretic approach to the convergence of rearranged Fourier series

Armenak Petrosyan, Ben Hayes, Keaton Hamm

arxiv:1809.08217 v2 · 2018-09-21 · math.CA · 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{BBYTDRZMMJ6B64CX5P3UOKGVRG}

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	2026-05-17T23:43:56.507403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

087131c72c627c1f7057ebf74728d58989284ebccb6947937d60706462c09572

Aliases

arxiv: 1809.08217 · arxiv_version: 1809.08217v2 · doi: 10.48550/arxiv.1809.08217 · pith_short_12: BBYTDRZMMJ6B · pith_short_16: BBYTDRZMMJ6B64CX · pith_short_8: BBYTDRZM

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/BBYTDRZMMJ6B64CX5P3UOKGVRG \
  | 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: 087131c72c627c1f7057ebf74728d58989284ebccb6947937d60706462c09572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fc6183b43a3597e2b99d1a186fd59551f6a351f282507f766c81607b0056789",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-09-21T17:18:41Z",
    "title_canon_sha256": "084c35d396f68879474928f87ccea011b4bb6ccca550f13606d00c0951d2126b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08217",
    "kind": "arxiv",
    "version": 2
  }
}