Pith Number

pith:IDDJIPLP

pith:2025:IDDJIPLPETYBTTZMG6DNH73HLK

not attested not anchored not stored refs pending

Modularity theorems for abelian surfaces

Frank Calegari, George Boxer, Toby Gee, Vincent Pilloni

arxiv:2502.20645 v1 · 2025-02-28 · 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{IDDJIPLPETYBTTZMG6DNH73HLK}

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.

Cited by

1 paper in Pith

Abelian surfaces of small conductor from genus 3 double covers

Receipt and verification

First computed	2026-07-05T10:21:36.773070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40c6943d6f24f019cf2c3786d3ff675aa8506f52d6cb11941bdbec1794cdeccd

Aliases

arxiv: 2502.20645 · arxiv_version: 2502.20645v1 · doi: 10.48550/arxiv.2502.20645 · pith_short_12: IDDJIPLPETYB · pith_short_16: IDDJIPLPETYBTTZM · pith_short_8: IDDJIPLP

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/IDDJIPLPETYBTTZMG6DNH73HLK \
  | 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: 40c6943d6f24f019cf2c3786d3ff675aa8506f52d6cb11941bdbec1794cdeccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca64123f48b6dd5471ff9d4fa9c8dd6cec1a08c7fb6dd23e2a8648ffdc30cf1e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-28T01:54:00Z",
    "title_canon_sha256": "cba5af6d60263bc96f73f949d30d8736643b74f668dfb1a32b5e11d73630d471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.20645",
    "kind": "arxiv",
    "version": 1
  }
}