Pith Number

pith:QFSSKJPZ

pith:2024:QFSSKJPZHFIIQCXYC574IE3QN7

not attested not anchored not stored refs pending

Every finitely generated abelian group is the class group of a generalized cluster algebra

Mara Pompili

arxiv:2411.14963 v2 · 2024-11-22 · 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{QFSSKJPZHFIIQCXYC574IE3QN7}

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	2026-07-05T10:56:12.564237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81652525f93950880af8177fc413706ffcfb3a5a21efca168c8fc1ebafe8eff8

Aliases

arxiv: 2411.14963 · arxiv_version: 2411.14963v2 · doi: 10.48550/arxiv.2411.14963 · pith_short_12: QFSSKJPZHFII · pith_short_16: QFSSKJPZHFIIQCXY · pith_short_8: QFSSKJPZ

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/QFSSKJPZHFIIQCXYC574IE3QN7 \
  | 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: 81652525f93950880af8177fc413706ffcfb3a5a21efca168c8fc1ebafe8eff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "463e5beec479dc0cd59f8ceeeaa3bb94b5626a93ab9bd0929172c6ed3a0c71ec",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-11-22T14:22:29Z",
    "title_canon_sha256": "790ea27448c2658555e2e7ecdb6162c544aee5d57b961bf7c16b97d6507ad97c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14963",
    "kind": "arxiv",
    "version": 2
  }
}