Pith Number

pith:TZE77BZY

pith:2014:TZE77BZYETFUKES4NGUSRLXNA6

not attested not anchored not stored refs pending

On the Enlargement by Pr\"ufer Objects of the Cluster Category of type $A_\infty$

Thomas A. Fisher

arxiv:1411.4856 v3 · 2014-11-18 · 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{TZE77BZYETFUKES4NGUSRLXNA6}

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

Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory

Receipt and verification

First computed	2026-05-18T01:20:01.864137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e49ff873824cb45125c69a928aeed07aeffc6a8e4d61ec3308eece574379c13

Aliases

arxiv: 1411.4856 · arxiv_version: 1411.4856v3 · doi: 10.48550/arxiv.1411.4856 · pith_short_12: TZE77BZYETFU · pith_short_16: TZE77BZYETFUKES4 · pith_short_8: TZE77BZY

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/TZE77BZYETFUKES4NGUSRLXNA6 \
  | 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: 9e49ff873824cb45125c69a928aeed07aeffc6a8e4d61ec3308eece574379c13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4399ef805193aa7c43a25e2805048708c937d20ba52b3b24bbaaf82262c39003",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-11-18T14:54:30Z",
    "title_canon_sha256": "8643b44fdaa0cf2512621a31aae6e95baad65a8240c618bf1b3d9f69e5fb67d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4856",
    "kind": "arxiv",
    "version": 3
  }
}