Pith Number

pith:XPATUCJF

pith:2025:XPATUCJF64C5QENAE4N5M35GT4

not attested not anchored not stored refs pending

$q$-deformed rationals and irrationals

Sophie Morier-Genoud, Valentin Ovsienko

arxiv:2503.23834 v1 · 2025-03-31 · 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{XPATUCJF64C5QENAE4N5M35GT4}

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

Analytical properties of $q$-metallic numbers

Receipt and verification

First computed	2026-07-05T10:42:00.662428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc13a0925f705d811a0271bd66fa69f3a6871fbed5a1778a53257401338791c

Aliases

arxiv: 2503.23834 · arxiv_version: 2503.23834v1 · doi: 10.48550/arxiv.2503.23834 · pith_short_12: XPATUCJF64C5 · pith_short_16: XPATUCJF64C5QENA · pith_short_8: XPATUCJF

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/XPATUCJF64C5QENAE4N5M35GT4 \
  | 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: bbc13a0925f705d811a0271bd66fa69f3a6871fbed5a1778a53257401338791c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5a1bb7397bb29ad1d35329392a2c8877290af70398ebe9d54933b3aaecd290c",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-31T08:28:41Z",
    "title_canon_sha256": "92c1ad74292f5af0de9d41971defcfd4b58882de3c95be48a96c56e8c3cd3c02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.23834",
    "kind": "arxiv",
    "version": 1
  }
}