Pith Number

pith:V64OY4L3

pith:2026:V64OY4L3HCUPUOZKNC3T6FS3TB

not attested not anchored not stored refs pending

Algebraic Leonard trio approach to rational functions: the Hahn case

Lucia Morey, Luc Vinet, Nicolas Cramp\'e, Quentin Labriet

arxiv:2605.19475 v1 · 2026-05-19 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V64OY4L3HCUPUOZKNC3T6FS3TB}

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	2026-05-20T01:05:47.642944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb8ec717b38a8fa3b2a68b73f165b9857669f4d91304494adbf4a24b9d245f1

Aliases

arxiv: 2605.19475 · arxiv_version: 2605.19475v1 · doi: 10.48550/arxiv.2605.19475 · pith_short_12: V64OY4L3HCUP · pith_short_16: V64OY4L3HCUPUOZK · pith_short_8: V64OY4L3

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/V64OY4L3HCUPUOZKNC3T6FS3TB \
  | 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: afb8ec717b38a8fa3b2a68b73f165b9857669f4d91304494adbf4a24b9d245f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e961c7305d0cba11efdb4d217f523580b59523bcbe63a89e6d5cfa5e6fb1ae9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-05-19T07:26:35Z",
    "title_canon_sha256": "122371ecabf6a9519f0ed2cba221296b8bfc44a2d593bbe07906661650502640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19475",
    "kind": "arxiv",
    "version": 1
  }
}