Pith Number

pith:ECH3UBP5

pith:2026:ECH3UBP5DOSX62RASVDXVUMNIO

not attested not anchored not stored refs pending

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect

Christopher Atherfold

arxiv:2608.09906 v1 · 2026-08-10 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECH3UBP5DOSX62RASVDXVUMNIO}

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	2026-08-11T02:25:24.998797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

208fba05fd1ba57f6a2095477ad18d43819e827a1475c642826e601c8f73beb1

Aliases

arxiv: 2608.09906 · arxiv_version: 2608.09906v1 · doi: 10.48550/arxiv.2608.09906 · pith_short_12: ECH3UBP5DOSX · pith_short_16: ECH3UBP5DOSX62RA · pith_short_8: ECH3UBP5

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/ECH3UBP5DOSX62RASVDXVUMNIO \
  | 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: 208fba05fd1ba57f6a2095477ad18d43819e827a1475c642826e601c8f73beb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ae7daff174e4cdfb252e29d4a0890e9c91c6fe7edbce6dbfcb23603aa84819c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-10T17:52:05Z",
    "title_canon_sha256": "9a48a6bc8fee181f084e9df5c28a6cd1905c6aa2fc02b7e044d721a17bf89ff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09906",
    "kind": "arxiv",
    "version": 1
  }
}