Pith Number

pith:2I4IT3G3

pith:2018:2I4IT3G3QFN4V6HYYW76WTZSE3

not attested not anchored not stored refs pending

Selberg-type integrals and the variance conjecture for the operator norm

Beatrice-Helen Vritsiou

arxiv:1805.03129 v1 · 2018-05-08 · 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{2I4IT3G3QFN4V6HYYW76WTZSE3}

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	2026-05-18T00:16:34.529557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d23889ecdb815bcaf8f8c5bfeb4f3226fb40bc17853c3c02fae2f4fba0f9133d

Aliases

arxiv: 1805.03129 · arxiv_version: 1805.03129v1 · doi: 10.48550/arxiv.1805.03129 · pith_short_12: 2I4IT3G3QFN4 · pith_short_16: 2I4IT3G3QFN4V6HY · pith_short_8: 2I4IT3G3

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/2I4IT3G3QFN4V6HYYW76WTZSE3 \
  | 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: d23889ecdb815bcaf8f8c5bfeb4f3226fb40bc17853c3c02fae2f4fba0f9133d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9f8bf7fe2399093f7a9369cf4c995640071d56996e781917786a3ef67290ec3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-08T16:05:54Z",
    "title_canon_sha256": "d861083617585484d0a80d68aed7fb8a07daabee52f0078ca17e34f757acfb2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03129",
    "kind": "arxiv",
    "version": 1
  }
}