Pith Number

pith:I443MAZH

pith:2024:I443MAZHACVMACWX76Y2FRLOB6

not attested not anchored not stored refs pending

Spherical growth of reciprocal classes in the Hecke Groups

Debattam Das, Krishnendu Gongopadhyay

arxiv:2411.00739 v2 · 2024-11-01 · math.GR · math.GT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I443MAZHACVMACWX76Y2FRLOB6}

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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

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups

Receipt and verification

First computed	2026-07-05T11:09:43.770309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4739b6032700aac00ad7ffb1a2c56e0f96f47ffc4be9054206bf8fb0120e72d6

Aliases

arxiv: 2411.00739 · arxiv_version: 2411.00739v2 · doi: 10.48550/arxiv.2411.00739 · pith_short_12: I443MAZHACVM · pith_short_16: I443MAZHACVMACWX · pith_short_8: I443MAZH

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/I443MAZHACVMACWX76Y2FRLOB6 \
  | 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: 4739b6032700aac00ad7ffb1a2c56e0f96f47ffc4be9054206bf8fb0120e72d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "223b8e6dd15a06df98ef243e80de01c4161a70a0b99e7f4fd546f0239e0f2d04",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-11-01T17:05:22Z",
    "title_canon_sha256": "7e3a310e013d3d520474c4c4faa87c25870d068d6bcf2850abfe596e3586423e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.00739",
    "kind": "arxiv",
    "version": 2
  }
}