Pith Number

pith:MU3F6SYA

pith:2026:MU3F6SYA2HDN5P62YKXRFS5S5P

not attested not anchored not stored refs pending

Nuancing the unicity of $q$-rationals

Alexander Thomas, Olga Paris-Romaskevich, Perrine Jouteur

arxiv:2607.22308 v1 · 2026-07-24 · math.QA · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MU3F6SYA2HDN5P62YKXRFS5S5P}

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.

Receipt and verification

First computed	2026-07-27T01:20:59.071972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65365f4b00d1c6debfdac2af12cbb2ebcaf4b474be9948b05fbe693178987efa

Aliases

arxiv: 2607.22308 · arxiv_version: 2607.22308v1 · doi: 10.48550/arxiv.2607.22308 · pith_short_12: MU3F6SYA2HDN · pith_short_16: MU3F6SYA2HDN5P62 · pith_short_8: MU3F6SYA

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/MU3F6SYA2HDN5P62YKXRFS5S5P \
  | 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: 65365f4b00d1c6debfdac2af12cbb2ebcaf4b474be9948b05fbe693178987efa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57af9314a31f3f79bff51e162cb2927df3fbea27f12c24d537271a7606aaa4dd",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-07-24T13:48:18Z",
    "title_canon_sha256": "6d2735fde856b0e29c62fe879fadaf581b5b7a10a2eb5f59ca394b14c602dcb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22308",
    "kind": "arxiv",
    "version": 1
  }
}