Pith Number

pith:VHFN2GQI

pith:2022:VHFN2GQI74CQAFNWTEWBRQOHPE

not attested not anchored not stored refs pending

On $q$-deformed Farey sum and a homological interpretation of $q$-deformed real quadratic irrational numbers

Xin Ren

arxiv:2210.06056 v5 · 2022-10-12 · math.RT · math.CO · 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{VHFN2GQI74CQAFNWTEWBRQOHPE}

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	2026-07-05T08:39:25.965054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9cadd1a08ff050015b6992c18c1c7792bc0551698ba70d22ae89e2f788ccb4e

Aliases

arxiv: 2210.06056 · arxiv_version: 2210.06056v5 · doi: 10.48550/arxiv.2210.06056 · pith_short_12: VHFN2GQI74CQ · pith_short_16: VHFN2GQI74CQAFNW · pith_short_8: VHFN2GQI

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/VHFN2GQI74CQAFNWTEWBRQOHPE \
  | 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: a9cadd1a08ff050015b6992c18c1c7792bc0551698ba70d22ae89e2f788ccb4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3036f63a3327382bacffd4dcd732d92cc7fac6c2b6151619eb255871e92944dd",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2022-10-12T09:56:48Z",
    "title_canon_sha256": "bfc908931e24b97434a255d39153f176c20024822ea46aa0409d93038f02a781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.06056",
    "kind": "arxiv",
    "version": 5
  }
}