Pith Number

pith:GU5KUGLO

pith:2020:GU5KUGLOXNQZNSS6K5RA5WRYTV

not attested not anchored not stored refs pending

Schoenberg's Theory of Totally Positive Functions and the Riemann Zeta Function

Karlheinz Gr\"ochenig

arxiv:2007.12889 v1 · 2020-07-25 · math.NT · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GU5KUGLOXNQZNSS6K5RA5WRYTV}

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.

Cited by

1 paper in Pith

Hard edge asymptotics of correlation functions between singular values and eigenvalues

Receipt and verification

First computed	2026-07-05T08:20:48.497396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

353aaa196ebb6196ca5e57620eda389d54486a1a72c73884888dd4bdfdcf4131

Aliases

arxiv: 2007.12889 · arxiv_version: 2007.12889v1 · doi: 10.48550/arxiv.2007.12889 · pith_short_12: GU5KUGLOXNQZ · pith_short_16: GU5KUGLOXNQZNSS6 · pith_short_8: GU5KUGLO

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/GU5KUGLOXNQZNSS6K5RA5WRYTV \
  | 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: 353aaa196ebb6196ca5e57620eda389d54486a1a72c73884888dd4bdfdcf4131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d01770ab45fb5be4e073af2297d391c02a190263f8cee3335d7772bbcc51bbb",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-07-25T09:18:20Z",
    "title_canon_sha256": "bb5375176dbc846e454b72ce43fc2e29fdc504ba91b259e3dd63e1fe7d4127a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.12889",
    "kind": "arxiv",
    "version": 1
  }
}