Pith Number

pith:6MXD5CXW

pith:2025:6MXD5CXW3GXNV3FG2IL7ZDTY35

not attested not anchored not stored refs pending

A cluster theory approach from mutation invariants to Diophantine equations

Zhichao Chen, Zixu Li

arxiv:2501.09435 v1 · 2025-01-16 · math.NT · math.CO · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MXD5CXW3GXNV3FG2IL7ZDTY35}

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

Cluster algebraic interpretation of generalized Markov numbers and their matrixizations

Receipt and verification

First computed	2026-07-05T10:01:46.968161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f32e3e8af6d9aedaeca6d217fc8e78df7b2c2350261e3dd1e1611b08cd94de0d

Aliases

arxiv: 2501.09435 · arxiv_version: 2501.09435v1 · doi: 10.48550/arxiv.2501.09435 · pith_short_12: 6MXD5CXW3GXN · pith_short_16: 6MXD5CXW3GXNV3FG · pith_short_8: 6MXD5CXW

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/6MXD5CXW3GXNV3FG2IL7ZDTY35 \
  | 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: f32e3e8af6d9aedaeca6d217fc8e78df7b2c2350261e3dd1e1611b08cd94de0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af3dfff3562b68069cbeec055759aba0ff89ceaa55b62cc74809f14867f6e10d",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-16T10:07:18Z",
    "title_canon_sha256": "f311014101a2af46d75e4e2f3974047a376b66e9fc53c0d3d13c1e8918e8a8f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09435",
    "kind": "arxiv",
    "version": 1
  }
}