Pith Number

pith:AYQKRNY6

pith:2026:AYQKRNY6RIRUMALKGJ2GOLWVE2

not attested not anchored not stored refs pending

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions

Brian Conrey, Caroline L. Turnage-Butterbaugh, Chung-Hang Kwan, Yongxiao Lin

arxiv:2607.00282 v1 · 2026-07-01 · 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{AYQKRNY6RIRUMALKGJ2GOLWVE2}

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	2026-07-02T00:18:42.662303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0620a8b71e8a2346016a3274672ed526ae402c68a584c773b9a6f864b56e2b1d

Aliases

arxiv: 2607.00282 · arxiv_version: 2607.00282v1 · doi: 10.48550/arxiv.2607.00282 · pith_short_12: AYQKRNY6RIRU · pith_short_16: AYQKRNY6RIRUMALK · pith_short_8: AYQKRNY6

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/AYQKRNY6RIRUMALKGJ2GOLWVE2 \
  | 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: 0620a8b71e8a2346016a3274672ed526ae402c68a584c773b9a6f864b56e2b1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "275967ef43886d3e96e8e16c0a212ae21a5561d59e8a709a39877a1bdd7e895e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-01T00:13:25Z",
    "title_canon_sha256": "0c543038a8a9c5c1ae4fc79e758c4971e2f636567a52e577bc89f026fbf4ac6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00282",
    "kind": "arxiv",
    "version": 1
  }
}