Pith Number

pith:MPVEVMWD

pith:2025:MPVEVMWDTXXVOLF7VGGFNXZN5X

not attested not anchored not stored refs pending

Effective Brauer-Siegel theorems for Artin $L$-functions

Asif Zaman, Peter J. Cho, Robert J. Lemke Oliver

arxiv:2510.02309 v2 · 2025-10-02 · 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{MPVEVMWDTXXVOLF7VGGFNXZN5X}

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	2026-06-29T01:14:24.558600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ea4ab2c39def572cbfa98c56df2dedc1a642a7d0e4ccf4e8681e8ab7f1f333

Aliases

arxiv: 2510.02309 · arxiv_version: 2510.02309v2 · doi: 10.48550/arxiv.2510.02309 · pith_short_12: MPVEVMWDTXXV · pith_short_16: MPVEVMWDTXXVOLF7 · pith_short_8: MPVEVMWD

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/MPVEVMWDTXXVOLF7VGGFNXZN5X \
  | 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: 63ea4ab2c39def572cbfa98c56df2dedc1a642a7d0e4ccf4e8681e8ab7f1f333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0846b4e25194aac50e79ba6faaf6bbd931bb1595d43009447e88264385419185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-10-02T17:59:45Z",
    "title_canon_sha256": "f5dc043471551d5199878d8070ec4acdc6ceb15a0a1e2e0491ce62c7dec75597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.02309",
    "kind": "arxiv",
    "version": 2
  }
}