Pith Number

pith:2JXF5UZZ

pith:2019:2JXF5UZZ5GVJYPMOKFFA2KOUXI

not attested not anchored not stored refs pending

On the absolute divergence of Fourier series in the infinite dimensional torus

E. Fern\'andez, L. Roncal

arxiv:1906.02300 v1 · 2019-06-05 · 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{2JXF5UZZ5GVJYPMOKFFA2KOUXI}

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	2026-05-17T23:44:01.635705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d26e5ed339e9aa9c3d8e514a0d29d4ba01870d529bc5b2b638984a896732461c

Aliases

arxiv: 1906.02300 · arxiv_version: 1906.02300v1 · doi: 10.48550/arxiv.1906.02300 · pith_short_12: 2JXF5UZZ5GVJ · pith_short_16: 2JXF5UZZ5GVJYPMO · pith_short_8: 2JXF5UZZ

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/2JXF5UZZ5GVJYPMOKFFA2KOUXI \
  | 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: d26e5ed339e9aa9c3d8e514a0d29d4ba01870d529bc5b2b638984a896732461c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9a5d11671ae5e95b32e54c720ad9d4d0175ab8c0407e8ac74f4bf7579a228a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-06-05T20:45:43Z",
    "title_canon_sha256": "06620d02e0640d0f2547b77d60b8bdf09a5e4bc6863935afa641a2209b9f1e6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02300",
    "kind": "arxiv",
    "version": 1
  }
}