Pith Number

pith:FXV22NLC

pith:2025:FXV22NLCZRA3KUELQ5DK75L7JH

not attested not anchored not stored refs pending

On the Local Converse Theorem for Depth $\frac{1}{N}$ Supercuspidal Representations of $\text{GL}(2N, F)$

David C. Luo, Shaun Stevens

arxiv:2505.22357 v1 · 2025-05-28 · math.RT · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXV22NLCZRA3KUELQ5DK75L7JH}

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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

On sharpness in Local Converse Theorems for classical groups and $G_2$

Receipt and verification

First computed	2026-07-05T11:11:13.845165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2debad3562cc41b5508b8746aff57f49dea04f3c9ac72a7d4d3885927292bdb4

Aliases

arxiv: 2505.22357 · arxiv_version: 2505.22357v1 · doi: 10.48550/arxiv.2505.22357 · pith_short_12: FXV22NLCZRA3 · pith_short_16: FXV22NLCZRA3KUEL · pith_short_8: FXV22NLC

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/FXV22NLCZRA3KUELQ5DK75L7JH \
  | 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: 2debad3562cc41b5508b8746aff57f49dea04f3c9ac72a7d4d3885927292bdb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5d9a6e5dd4e83f0f96d486dd2e172bd22d1f45d8da157664e1333816aa6d3e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-05-28T13:37:56Z",
    "title_canon_sha256": "43c8fae66b3aefc087f3f4c0b62f8a96ac33cde16f1d4093963136f0b0769911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22357",
    "kind": "arxiv",
    "version": 1
  }
}