Pith Number

pith:ARF7YF3Z

pith:2023:ARF7YF3Z2QGPKKE3WU67HANLTE

not attested not anchored not stored refs pending

Infinitesimal Modular Group: $q$-Deformed $\mathfrak{sl}_2$ and Witt Algebra

Alexander Thomas

arxiv:2308.06158 v4 · 2023-08-11 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ARF7YF3Z2QGPKKE3WU67HANLTE}

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	2026-07-05T08:34:05.203516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

044bfc1779d40cf5289bb53df381ab991412444316bb008719b241c1fde03db8

Aliases

arxiv: 2308.06158 · arxiv_version: 2308.06158v4 · doi: 10.48550/arxiv.2308.06158 · pith_short_12: ARF7YF3Z2QGP · pith_short_16: ARF7YF3Z2QGPKKE3 · pith_short_8: ARF7YF3Z

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/ARF7YF3Z2QGPKKE3WU67HANLTE \
  | 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: 044bfc1779d40cf5289bb53df381ab991412444316bb008719b241c1fde03db8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "910304bb04c5374ce42a6c95d3c0d2766b9ef319c010145ae9a613c1e50d08a9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2023-08-11T14:36:05Z",
    "title_canon_sha256": "3a427f241e9f31182304f9f193ada382ffa0440f200626ef7c9fdc87a93b88be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.06158",
    "kind": "arxiv",
    "version": 4
  }
}