Pith Number

pith:J3MGZVVC

pith:2026:J3MGZVVCZ7ZNN7QMA6MCKBPERF

not attested not anchored not stored refs pending

Counting zeros of Artin $L$-functions

Chiara Bellotti, Peng-Jie Wong

arxiv:2606.31441 v1 · 2026-06-30 · 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{J3MGZVVCZ7ZNN7QMA6MCKBPERF}

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	2026-07-01T01:18:03.414872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed86cd6a2cff2d6fe0c07982505e489765cd5091338a36e8838deef4471af6d

Aliases

arxiv: 2606.31441 · arxiv_version: 2606.31441v1 · doi: 10.48550/arxiv.2606.31441 · pith_short_12: J3MGZVVCZ7ZN · pith_short_16: J3MGZVVCZ7ZNN7QM · pith_short_8: J3MGZVVC

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/J3MGZVVCZ7ZNN7QMA6MCKBPERF \
  | 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: 4ed86cd6a2cff2d6fe0c07982505e489765cd5091338a36e8838deef4471af6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c0147d0a3baa5101b53ce5b84c3e7b8c50115d9794faf5194aced36c7f71843",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-30T10:13:32Z",
    "title_canon_sha256": "94c3b976c9e341aab1d74865f821602f725c4c9fa226547970a7356c09ea82d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31441",
    "kind": "arxiv",
    "version": 1
  }
}