Pith Number

pith:OXEYPYVR

pith:2012:OXEYPYVRMB35P47YRYV5GUNIZP

not attested not anchored not stored refs pending

Cluster algebras of infinite rank

Jan E. Grabowski, Sira Gratz

arxiv:1212.3528 v1 · 2012-12-14 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXEYPYVRMB35P47YRYV5GUNIZP}

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	2026-05-18T02:32:22.717032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75c987e2b16077d7f3f88e2bd351a8cbd868b6cf8003b86e1a83b99ab39ab213

Aliases

arxiv: 1212.3528 · arxiv_version: 1212.3528v1 · doi: 10.48550/arxiv.1212.3528 · pith_short_12: OXEYPYVRMB35 · pith_short_16: OXEYPYVRMB35P47Y · pith_short_8: OXEYPYVR

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/OXEYPYVRMB35P47YRYV5GUNIZP \
  | 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: 75c987e2b16077d7f3f88e2bd351a8cbd868b6cf8003b86e1a83b99ab39ab213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "430bb39e239b4ee114b02b2e2e5e9ce15580c52a29a7faa320c13d306d824c0f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-12-14T17:00:48Z",
    "title_canon_sha256": "43e394df5a824dd3d745e6ab17026824fd04df5dad3fd5759d2141a6844aa11c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3528",
    "kind": "arxiv",
    "version": 1
  }
}