Pith Number

pith:WH6Q6QGZ

pith:2025:WH6Q6QGZGTXXSELLQEEANWM2UF

not attested not anchored not stored refs pending

Counting Reciprocal Hyperbolic Elements in Hecke Groups

Ara Basmajian, Blanca Marmolejo, Robert Suzzi Valli

arxiv:2505.21365 v1 · 2025-05-27 · math.GT · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WH6Q6QGZGTXXSELLQEEANWM2UF}

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	2026-07-05T11:10:40.807441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1fd0f40d934ef79116b810806d99aa16bac59069e0b8bcd908aaec860b00f6b

Aliases

arxiv: 2505.21365 · arxiv_version: 2505.21365v1 · doi: 10.48550/arxiv.2505.21365 · pith_short_12: WH6Q6QGZGTXX · pith_short_16: WH6Q6QGZGTXXSELL · pith_short_8: WH6Q6QGZ

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/WH6Q6QGZGTXXSELLQEEANWM2UF \
  | 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: b1fd0f40d934ef79116b810806d99aa16bac59069e0b8bcd908aaec860b00f6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9130baaad56a200c0b1a12d8306138e7633cfa38061c352b0f1881144d763a27",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-05-27T15:55:55Z",
    "title_canon_sha256": "fb388ba735722b1c96b929322163ca3e84395dd78db60fe5c35badf3be34497d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21365",
    "kind": "arxiv",
    "version": 1
  }
}