Pith Number

pith:R7CC4XXA

pith:2025:R7CC4XXAOZHR5FW2SA2K7WAJP2

not attested not anchored not stored refs pending

Counting points on some genus zero Shimura curves

Fredderick Saia, John Yin, Tim Santens, Tristan Phillips, Tyler Genao

arxiv:2504.09400 v2 · 2025-04-13 · 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{R7CC4XXAOZHR5FW2SA2K7WAJP2}

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	2026-07-05T11:44:47.718123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fc42e5ee0764f1e96da9034afd8097e838ad46fbc8942f15f7d8c023cb60b72

Aliases

arxiv: 2504.09400 · arxiv_version: 2504.09400v2 · doi: 10.48550/arxiv.2504.09400 · pith_short_12: R7CC4XXAOZHR · pith_short_16: R7CC4XXAOZHR5FW2 · pith_short_8: R7CC4XXA

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/R7CC4XXAOZHR5FW2SA2K7WAJP2 \
  | 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: 8fc42e5ee0764f1e96da9034afd8097e838ad46fbc8942f15f7d8c023cb60b72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de57d59b103b2335f55c393a85818b76d219de1315684ad13cf9079f0271bd08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-13T01:54:34Z",
    "title_canon_sha256": "8c0ed4b0984c2ac83ee1f31f19483014bce63fc212e386701b3ca979707c85d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.09400",
    "kind": "arxiv",
    "version": 2
  }
}