Pith Number

pith:FSNOHQME

pith:2021:FSNOHQMEMN3JSNO45JQPMTHHOT

not attested not anchored not stored refs pending

$q$-deformations of the modular group and of the real quadratic irrational numbers

Ludivine Leclere, Sophie Morier-Genoud

arxiv:2101.02953 v1 · 2021-01-08 · math.NT · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSNOHQMEMN3JSNO45JQPMTHHOT}

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

Plane geometry of $q$-rationals and Springborn Operations

Receipt and verification

First computed	2026-07-05T02:05:32.472035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c9ae3c18463769935dcea60f64ce774e9bd9a6cb9c35a1f1d94bf82a6cf6283

Aliases

arxiv: 2101.02953 · arxiv_version: 2101.02953v1 · doi: 10.48550/arxiv.2101.02953 · pith_short_12: FSNOHQMEMN3J · pith_short_16: FSNOHQMEMN3JSNO4 · pith_short_8: FSNOHQME

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/FSNOHQMEMN3JSNO45JQPMTHHOT \
  | 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: 2c9ae3c18463769935dcea60f64ce774e9bd9a6cb9c35a1f1d94bf82a6cf6283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b692de91afcc0cd584cbedb4aba49ff05e126f6680f5514be4d2c516f35cb2",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-01-08T10:50:35Z",
    "title_canon_sha256": "7e327da28b0cdb2eb0bb8aa56da963b9605b8a8d5a565efdb2a900c9a5a78b36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.02953",
    "kind": "arxiv",
    "version": 1
  }
}