Pith Number

pith:WSF52C2F

pith:2009:WSF52C2FO7JZDOSW7IGOBC3YTI

not attested not anchored not stored refs pending

The cusp amplitudes and quasi-level of a congruence subgroup of SL2 over any Dedekind domain

Andreas Schweizer, A. W. Mason

arxiv:0909.0799 v2 · 2009-09-04 · math.GR · 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{WSF52C2FO7JZDOSW7IGOBC3YTI}

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	2026-05-18T01:03:12.295686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b48bdd0b4577d391ba56fa0ce08b789a0fe16a67f930dbd807518455199f7ff7

Aliases

arxiv: 0909.0799 · arxiv_version: 0909.0799v2 · doi: 10.48550/arxiv.0909.0799 · pith_short_12: WSF52C2FO7JZ · pith_short_16: WSF52C2FO7JZDOSW · pith_short_8: WSF52C2F

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/WSF52C2FO7JZDOSW7IGOBC3YTI \
  | 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: b48bdd0b4577d391ba56fa0ce08b789a0fe16a67f930dbd807518455199f7ff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e25450f7a10a03ca2299d3924025a7b5c47642d1cb082409f94e72914f749a7c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-09-04T02:56:27Z",
    "title_canon_sha256": "6d65c30e74d97141485ff806c39afb63edc75953fd832edb11567b30436acc9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0799",
    "kind": "arxiv",
    "version": 2
  }
}