Pith Number

pith:YDW3YUH5

pith:2025:YDW3YUH5MXFSUILRSG3XXQ4Z5I

not attested not anchored not stored refs pending

Point counts, automorphisms, and gonalities of Shimura curves

Claudio Stirpe, Frederick Saia, Oana Padurariu, Pietro Mercuri

arxiv:2507.15992 v2 · 2025-07-21 · 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{YDW3YUH5MXFSUILRSG3XXQ4Z5I}

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	2026-06-04T01:09:37.835089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0edbc50fd65cb2a217191b77bc399ea1ffe08e18cc5d15a459255830e780a65

Aliases

arxiv: 2507.15992 · arxiv_version: 2507.15992v2 · doi: 10.48550/arxiv.2507.15992 · pith_short_12: YDW3YUH5MXFS · pith_short_16: YDW3YUH5MXFSUILR · pith_short_8: YDW3YUH5

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/YDW3YUH5MXFSUILRSG3XXQ4Z5I \
  | 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: c0edbc50fd65cb2a217191b77bc399ea1ffe08e18cc5d15a459255830e780a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0ae159b1e57eb648e826ef65036f42c39a1fd5adac1e5e746368c84b6e384c5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-21T18:30:21Z",
    "title_canon_sha256": "ae014a25c8d1528da4ebbe1ada7a784f2f8e6ec3a2d3fd1c149ef400aac7dbc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15992",
    "kind": "arxiv",
    "version": 2
  }
}