Pith Number

pith:LLISXHK3

pith:2024:LLISXHK35TQL2E2CYTTDV35QFX

not attested not anchored not stored refs pending

SL(2,Z)-matrixizations of generalized Markov numbers

Shuhei Maruyama, Yasuaki Gyoda, Yusuke Sato

arxiv:2407.08203 v3 · 2024-07-11 · math.NT · math.AG · 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{LLISXHK35TQL2E2CYTTDV35QFX}

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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

3 papers in Pith

Words for generalized Markov numbers

Orderings of k-Markov Numbers

Generalized discrete Markov spectra

Receipt and verification

First computed	2026-07-05T10:25:08.085564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ad12b9d5bece0bd1342c4e63aefb02dd64eb6d730abed89638af3c9019e8c95

Aliases

arxiv: 2407.08203 · arxiv_version: 2407.08203v3 · doi: 10.48550/arxiv.2407.08203 · pith_short_12: LLISXHK35TQL · pith_short_16: LLISXHK35TQL2E2C · pith_short_8: LLISXHK3

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/LLISXHK35TQL2E2CYTTDV35QFX \
  | 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: 5ad12b9d5bece0bd1342c4e63aefb02dd64eb6d730abed89638af3c9019e8c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56d0e404890da76fb60ebd612c13b590c305706e8d9035f64f76fb50d29784f7",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-07-11T06:02:27Z",
    "title_canon_sha256": "c3c3ae7ecffb972ad30e0751c57cd601a8c47d2404f7d290e083f136aa006cdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.08203",
    "kind": "arxiv",
    "version": 3
  }
}