Pith Number

pith:UGLULHUB

pith:2025:UGLULHUB7ESAA3ATHQTN4OSWGS

not attested not anchored not stored refs pending

On $q$-real and $q$-complex numbers

Pavel Etingof

arxiv:2508.08440 v1 · 2025-08-11 · math.CV · math.CA · math.CO · math.DS · 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{UGLULHUB7ESAA3ATHQTN4OSWGS}

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

2 papers in Pith

Plane geometry of $q$-rationals and Springborn Operations

Analytical properties of $q$-metallic numbers

Receipt and verification

First computed	2026-07-05T11:52:28.372953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a197459e81f924006c133c26de3a56348f0341c413b047afa6fd2d10840cabe3

Aliases

arxiv: 2508.08440 · arxiv_version: 2508.08440v1 · doi: 10.48550/arxiv.2508.08440 · pith_short_12: UGLULHUB7ESA · pith_short_16: UGLULHUB7ESAA3AT · pith_short_8: UGLULHUB

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/UGLULHUB7ESAA3ATHQTN4OSWGS \
  | 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: a197459e81f924006c133c26de3a56348f0341c413b047afa6fd2d10840cabe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8527612b103f09a28b1601e1e66b5c11b108336c7e286b5475f692286f81f1a4",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO",
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-08-11T19:56:33Z",
    "title_canon_sha256": "69f7c37a5b31d8d494cbed530b0baf4bf48097aa71fb7dcf8347f016a8a2febd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08440",
    "kind": "arxiv",
    "version": 1
  }
}