Pith Number

pith:IB7JQ44F

pith:2021:IB7JQ44FXZTCCSAJ2B6AV2F73X

not attested not anchored not stored refs pending

Towards quantized complex numbers: $q$-deformed Gaussian integers and the Picard group

Valentin Ovsienko

arxiv:2103.10800 v4 · 2021-03-18 · math.QA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IB7JQ44FXZTCCSAJ2B6AV2F73X}

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	2026-07-05T06:23:32.631567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

407e987385be66214809d07c0ae8bfddd1771ffa69d1b6c1411f408d9db089f2

Aliases

arxiv: 2103.10800 · arxiv_version: 2103.10800v4 · doi: 10.48550/arxiv.2103.10800 · pith_short_12: IB7JQ44FXZTC · pith_short_16: IB7JQ44FXZTCCSAJ · pith_short_8: IB7JQ44F

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/IB7JQ44FXZTCCSAJ2B6AV2F73X \
  | 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: 407e987385be66214809d07c0ae8bfddd1771ffa69d1b6c1411f408d9db089f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ad7731957c0dcfc04b84ec1a9aa5bc17a6fc34dcafaafce88958ea65814171f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2021-03-18T08:45:17Z",
    "title_canon_sha256": "249aea9080130d80493f87d4630f186adeb2dfc2020fd2711bc29fa2b2f57ade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.10800",
    "kind": "arxiv",
    "version": 4
  }
}