Pith Number

pith:5BYXKVHY

pith:2012:5BYXKVHYQDH4Z6WYYSR44KKWOE

not attested not anchored not stored refs pending

Fourier multipliers for Hardy spaces of Dirichlet series

Alexandru Aleman, Eero Saksman, Jan-Fredrik Olsen

arxiv:1210.4292 v1 · 2012-10-16 · math.CV · 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{5BYXKVHYQDH4Z6WYYSR44KKWOE}

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	2026-05-18T03:43:06.405479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8717554f880cfccfad8c4a3ce295671144a8d78aa31ed786162a7c7a0a161bd

Aliases

arxiv: 1210.4292 · arxiv_version: 1210.4292v1 · doi: 10.48550/arxiv.1210.4292 · pith_short_12: 5BYXKVHYQDH4 · pith_short_16: 5BYXKVHYQDH4Z6WY · pith_short_8: 5BYXKVHY

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/5BYXKVHYQDH4Z6WYYSR44KKWOE \
  | 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: e8717554f880cfccfad8c4a3ce295671144a8d78aa31ed786162a7c7a0a161bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a35ae2d72dfe76dd7e6d2e4cb6aef3aeff730b6b76506916a845b660a51ea6db",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-10-16T08:20:34Z",
    "title_canon_sha256": "c6d99f32926c609a16f66605f31a67d2fafbe9f665d016e87ba1bb8a27286ae5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4292",
    "kind": "arxiv",
    "version": 1
  }
}