Pith Number

pith:5SP7MMYL

pith:2015:5SP7MMYLM5C43IA54THDOBTLNU

not attested not anchored not stored refs pending

Companion cluster algebras to a generalized cluster algebra

Dylan Rupel, Tomoki Nakanishi

arxiv:1504.06758 v1 · 2015-04-25 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SP7MMYLM5C43IA54THDOBTLNU}

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	2026-05-18T00:14:16.825665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec9ff6330b6745cda01de4ce37066b6d247d2da2ec3d937d48777e77c867d151

Aliases

arxiv: 1504.06758 · arxiv_version: 1504.06758v1 · doi: 10.48550/arxiv.1504.06758 · pith_short_12: 5SP7MMYLM5C4 · pith_short_16: 5SP7MMYLM5C43IA5 · pith_short_8: 5SP7MMYL

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/5SP7MMYLM5C43IA54THDOBTLNU \
  | 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: ec9ff6330b6745cda01de4ce37066b6d247d2da2ec3d937d48777e77c867d151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ccd0aa1ecf03eec3c399ce0ea1b39dc6f7655a04a43384d2adc91b7f05633f7",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-04-25T20:00:53Z",
    "title_canon_sha256": "05ade61764fc0fc9f2949c903706172c7718b83ad5f974bebaee77e6612b4ce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06758",
    "kind": "arxiv",
    "version": 1
  }
}