pith. sign in
Pith Number

pith:YIWF3XAX

pith:2019:YIWF3XAXEC5X2EEQQH4TEHT7IA
not attested not anchored not stored refs pending

Hardy spaces of general Dirichlet series - a survey

Andreas Defant, Ingo Schoolmann

arxiv:1902.02073 v1 · 2019-02-06 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YIWF3XAXEC5X2EEQQH4TEHT7IA}

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 2026-05-17T23:54:37.962750Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c22c5ddc1720bb7d109081f9321e7f40286efdb4584fa50d8e0ca337b2ab30fb

Aliases

arxiv: 1902.02073 · arxiv_version: 1902.02073v1 · doi: 10.48550/arxiv.1902.02073 · pith_short_12: YIWF3XAXEC5X · pith_short_16: YIWF3XAXEC5X2EEQ · pith_short_8: YIWF3XAX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YIWF3XAXEC5X2EEQQH4TEHT7IA \
  | 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: c22c5ddc1720bb7d109081f9321e7f40286efdb4584fa50d8e0ca337b2ab30fb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c94d324240b2f5eff8e3f31e4eef80c8b227b17d12c4adcdb841051b9e319650",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-02-06T09:07:20Z",
    "title_canon_sha256": "2c3bb59b0c58cc24c4a36db301cedd056f47ad3264bbfac8f901df7a49348ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02073",
    "kind": "arxiv",
    "version": 1
  }
}