Pith Number

pith:GALRPLO6

pith:2018:GALRPLO664ZNN2GUWMOCIQ2GCY

not attested not anchored not stored refs pending

Zeros of certain weakly holomorphic modular forms for the Fricke group $\Gamma_0^+(3)$

Seiichi Hanamoto, Seiji Kuga

arxiv:1811.10011 v1 · 2018-11-25 · 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{GALRPLO664ZNN2GUWMOCIQ2GCY}

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	2026-05-17T23:59:58.878443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

301717addef732d6e8d4b31c244346162d0895383c2247c09139451346638429

Aliases

arxiv: 1811.10011 · arxiv_version: 1811.10011v1 · doi: 10.48550/arxiv.1811.10011 · pith_short_12: GALRPLO664ZN · pith_short_16: GALRPLO664ZNN2GU · pith_short_8: GALRPLO6

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/GALRPLO664ZNN2GUWMOCIQ2GCY \
  | 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: 301717addef732d6e8d4b31c244346162d0895383c2247c09139451346638429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66c935416a5d2bf1687136f31e3662ccea9a4787b8d188d45a5360d29a6da983",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-25T13:48:20Z",
    "title_canon_sha256": "67c850b00f48d4e6a5c14e84e691342bc7dcbb37ce309a7cb903854928ff44ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10011",
    "kind": "arxiv",
    "version": 1
  }
}