Pith Number

pith:KMUL42NJ

pith:2012:KMUL42NJU2KJC7FPWPIINLJ43E

not attested not anchored not stored refs pending

A numerical study on exceptional eigenvalues of certain congruence subgroups of SO(n,1) and SU(n,1)

Emilio A. Lauret

arxiv:1212.0674 v2 · 2012-12-04 · 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{KMUL42NJU2KJC7FPWPIINLJ43E}

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	2026-05-18T01:23:52.462572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5328be69a9a694917cafb3d086ad3cd9325d6ef6dac2a5561e181519aa788062

Aliases

arxiv: 1212.0674 · arxiv_version: 1212.0674v2 · doi: 10.48550/arxiv.1212.0674 · pith_short_12: KMUL42NJU2KJ · pith_short_16: KMUL42NJU2KJC7FP · pith_short_8: KMUL42NJ

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/KMUL42NJU2KJC7FPWPIINLJ43E \
  | 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: 5328be69a9a694917cafb3d086ad3cd9325d6ef6dac2a5561e181519aa788062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ba105153e7ebe8bf4c0b8f085f2d04ac21f9fc8b71cc408a64729f2c7ed6724",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-04T10:57:36Z",
    "title_canon_sha256": "a3fe7dd664a57015513f1cc055e6f2ea3c740a2547afb80a2f2d9ba4405eab7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0674",
    "kind": "arxiv",
    "version": 2
  }
}