Pith Number

pith:GSW3E24R

pith:2015:GSW3E24RFQZILU7UDUYO3LELEZ

not attested not anchored not stored refs pending

Weak product spaces of Dirichlet series

Karl-Mikael Perfekt, Ole Fredrik Brevig

arxiv:1510.02019 v3 · 2015-10-07 · 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{GSW3E24RFQZILU7UDUYO3LELEZ}

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	2026-05-18T00:10:14.206840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34adb26b912c3285d3f41d30edac8b26539ec9ba81133417e886f51d1b72dc8d

Aliases

arxiv: 1510.02019 · arxiv_version: 1510.02019v3 · doi: 10.48550/arxiv.1510.02019 · pith_short_12: GSW3E24RFQZI · pith_short_16: GSW3E24RFQZILU7U · pith_short_8: GSW3E24R

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/GSW3E24RFQZILU7UDUYO3LELEZ \
  | 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: 34adb26b912c3285d3f41d30edac8b26539ec9ba81133417e886f51d1b72dc8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dc98d154da8cebe071b2e6c430b8993643ba49a9ceba95b8526693d17fc8806",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-07T16:37:52Z",
    "title_canon_sha256": "e5665a0dbd6138ea328098f98b4bb13a59c184d66bf62b2d45d101bf2d44118d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02019",
    "kind": "arxiv",
    "version": 3
  }
}