Pith Number

pith:OU66HODO

pith:2024:OU66HODOCUKEMA7TAWR67FGB2T

not attested not anchored not stored refs pending

Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces

Christopher Lutsko, Lasse L. Wolf, Tobias Weich

arxiv:2402.02530 v3 · 2024-02-04 · 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{OU66HODOCUKEMA7TAWR67FGB2T}

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.

Cited by

1 paper in Pith

Zariski density of discrete subgroups via critical exponents and unitary representations

Receipt and verification

First computed	2026-07-05T12:06:45.218629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

753de3b86e15144603f305a3ef94c1d4d0517692e6c8c5ae37aa8b3f58a30c6b

Aliases

arxiv: 2402.02530 · arxiv_version: 2402.02530v3 · doi: 10.48550/arxiv.2402.02530 · pith_short_12: OU66HODOCUKE · pith_short_16: OU66HODOCUKEMA7T · pith_short_8: OU66HODO

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/OU66HODOCUKEMA7TAWR67FGB2T \
  | 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: 753de3b86e15144603f305a3ef94c1d4d0517692e6c8c5ae37aa8b3f58a30c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f02a06ca8562c31834c33be43694eb96d6d64ddd1d90f31d99ec227fb2d0850",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-02-04T15:24:23Z",
    "title_canon_sha256": "54f330e265bc1bfcc68564515947243bbd14a7831d9c68d1fb8eca85b95b0040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.02530",
    "kind": "arxiv",
    "version": 3
  }
}