Pith Number

pith:R5FI5GHQ

pith:2019:R5FI5GHQYBXSURNEQRKUKLP7KL

not attested not anchored not stored refs pending

Composition operators on spaces of double Dirichlet series

Domingo Garc\'ia, Fr\'ed\'eric Bayart, Jaime Castillo-Medina, Manuel Maestre, Pablo Sevilla-Peris

arxiv:1903.08429 v1 · 2019-03-20 · 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{R5FI5GHQYBXSURNEQRKUKLP7KL}

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	2026-05-17T23:50:48.139467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f4a8e98f0c06f2a45a48455452dff52cd7bca26e788fce439ab261135065fb2

Aliases

arxiv: 1903.08429 · arxiv_version: 1903.08429v1 · doi: 10.48550/arxiv.1903.08429 · pith_short_12: R5FI5GHQYBXS · pith_short_16: R5FI5GHQYBXSURNE · pith_short_8: R5FI5GHQ

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/R5FI5GHQYBXSURNEQRKUKLP7KL \
  | 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: 8f4a8e98f0c06f2a45a48455452dff52cd7bca26e788fce439ab261135065fb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7338afc3a3714d5fd05ed688c493b41124ad6055fadf79dadd755779b97d7491",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-03-20T10:46:04Z",
    "title_canon_sha256": "a038b14dbc4c6cd5569b79f9ee49e3aed119b98825eac79932d9b77c301a5fd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08429",
    "kind": "arxiv",
    "version": 1
  }
}