Pith Number

pith:LVAK7BG2

pith:2026:LVAK7BG2PBL5AD4PMGKGKNDW5J

not attested not anchored not stored refs pending

Riesz Means of Quadratic Class Numbers

Olivia Beckwith, Tushar Karmakar

arxiv:2606.28657 v1 · 2026-06-27 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVAK7BG2PBL5AD4PMGKGKNDW5J}

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	2026-06-30T01:16:46.181584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d40af84da7857d00f8f6194653476ea76700c6a11b0f2879e3d2d51c1c5b554

Aliases

arxiv: 2606.28657 · arxiv_version: 2606.28657v1 · doi: 10.48550/arxiv.2606.28657 · pith_short_12: LVAK7BG2PBL5 · pith_short_16: LVAK7BG2PBL5AD4P · pith_short_8: LVAK7BG2

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/LVAK7BG2PBL5AD4PMGKGKNDW5J \
  | 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: 5d40af84da7857d00f8f6194653476ea76700c6a11b0f2879e3d2d51c1c5b554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a5810b1b9386a11a2f6edfb9d1f9fd2c91c57eafd6c8bb1b2f1e8ea70620ba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-27T00:23:53Z",
    "title_canon_sha256": "511364903e68fa30b31c4043ecf9061b013ddd3a4d62f74d46e21b481877eb03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28657",
    "kind": "arxiv",
    "version": 1
  }
}