Pith Number

pith:CYXK5YWE

pith:2019:CYXK5YWE5Y3GRGLJ6IC6HIHQWD

not attested not anchored not stored refs pending

Typical representations for level zero Bernstein components of ${\rm GL}_n(F)$

Santosh Nadimpalli

arxiv:1908.03392 v1 · 2019-08-09 · 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{CYXK5YWE5Y3GRGLJ6IC6HIHQWD}

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	2026-07-04T23:52:39.576084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

162eaee2c4ee36689969f205e3a0f0b0cbb9b7d6905a08b19bfb604a0121e3ce

Aliases

arxiv: 1908.03392 · arxiv_version: 1908.03392v1 · doi: 10.48550/arxiv.1908.03392 · pith_short_12: CYXK5YWE5Y3G · pith_short_16: CYXK5YWE5Y3GRGLJ · pith_short_8: CYXK5YWE

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/CYXK5YWE5Y3GRGLJ6IC6HIHQWD \
  | 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: 162eaee2c4ee36689969f205e3a0f0b0cbb9b7d6905a08b19bfb604a0121e3ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa0f6874f48d39c08a734cb34ab571e2e8c4ce5f0a30c3eb7f5236b2f1710e5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-08-09T10:05:56Z",
    "title_canon_sha256": "0012a7d96b50c1791a1e4ff8f7415b2783943f8ccd49dcebb87042463a3263a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03392",
    "kind": "arxiv",
    "version": 1
  }
}