Pith Number

pith:EKP3YHPB

pith:2018:EKP3YHPBWCQFDCJQUDLGU6DJHP

not attested not anchored not stored refs pending

On some nonadmissible smooth irreducible representations of $\mathrm{GL}_2$

Daniel Le

arxiv:1809.10247 v3 · 2018-09-26 · math.RT · 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{EKP3YHPBWCQFDCJQUDLGU6DJHP}

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	2026-05-17T23:42:42.992772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

229fbc1de1b0a0518930a0d66a78693bf2dd3c877f07a06fe06ac932069026f1

Aliases

arxiv: 1809.10247 · arxiv_version: 1809.10247v3 · doi: 10.48550/arxiv.1809.10247 · pith_short_12: EKP3YHPBWCQF · pith_short_16: EKP3YHPBWCQFDCJQ · pith_short_8: EKP3YHPB

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/EKP3YHPBWCQFDCJQUDLGU6DJHP \
  | 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: 229fbc1de1b0a0518930a0d66a78693bf2dd3c877f07a06fe06ac932069026f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1acf12442804da46ace612f9755f3533a40e74c252e4250485932bd155aa36c2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-09-26T21:50:29Z",
    "title_canon_sha256": "a768211b37bb7fec93db7a8019d4ecfe1a9b86200b3d2ef8cddaa624e8bad017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10247",
    "kind": "arxiv",
    "version": 3
  }
}