Pith Number

pith:SKC474LT

pith:2025:SKC474LTJGEH4OTZEYUU2XMPLV

not attested not anchored not stored refs pending

More regular formal moduli spaces and arithmetic transfer conjectures: the ramified quadratic case

Michael Rapoport, Wei Zhang, Yu Luo

arxiv:2507.01395 v1 · 2025-07-02 · math.NT · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SKC474LTJGEH4OTZEYUU2XMPLV}

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	2026-07-05T11:30:47.982988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9285cff17349887e3a7926294d5d8f5d40553f8a1e81fb06f17a56c1d1e3e051

Aliases

arxiv: 2507.01395 · arxiv_version: 2507.01395v1 · doi: 10.48550/arxiv.2507.01395 · pith_short_12: SKC474LTJGEH · pith_short_16: SKC474LTJGEH4OTZ · pith_short_8: SKC474LT

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/SKC474LTJGEH4OTZEYUU2XMPLV \
  | 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: 9285cff17349887e3a7926294d5d8f5d40553f8a1e81fb06f17a56c1d1e3e051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d25462a9b72544154b54b87d4d71115021765e2dbaff9c66cf4ed6ffe1259831",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-02T06:17:39Z",
    "title_canon_sha256": "117528307b78884ac3037a729c7873df00f10f9c534e0b8b1b6efd737a49f610"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01395",
    "kind": "arxiv",
    "version": 1
  }
}