Pith Number

pith:2LYRAQLI

pith:2025:2LYRAQLIRNUPP4KQFYBUGSV7VY

not attested not anchored not stored refs pending

Spectral moduli problems for level structures and an integral Jacquet-Langlands dual of Morava E-theory

Xuecai Ma, Yifei Zhu

arxiv:2509.00690 v1 · 2025-08-31 · math.AT · math.AG · math.NT · 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{2LYRAQLIRNUPP4KQFYBUGSV7VY}

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	2026-07-05T12:02:21.219766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2f11041688b68f7f1502e03434abfae292b9585cafac1ff0aa518f29dc065e6

Aliases

arxiv: 2509.00690 · arxiv_version: 2509.00690v1 · doi: 10.48550/arxiv.2509.00690 · pith_short_12: 2LYRAQLIRNUP · pith_short_16: 2LYRAQLIRNUPP4KQ · pith_short_8: 2LYRAQLI

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/2LYRAQLIRNUPP4KQFYBUGSV7VY \
  | 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: d2f11041688b68f7f1502e03434abfae292b9585cafac1ff0aa518f29dc065e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "087650249597bd8988a176062167b3cf97291d6ce54d99ae1f4fb7af529d78e9",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-08-31T04:14:39Z",
    "title_canon_sha256": "f3c32ba4665a41884267f2fadbde8de5cdd8c38088cdb9fc828c494a06a2ba4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00690",
    "kind": "arxiv",
    "version": 1
  }
}