Pith Number

pith:OS57U46A

pith:2013:OS57U46AUVL3TZUXWSPSQI4H6L

not attested not anchored not stored refs pending

Mutation of torsion pairs in cluster categories of Dynkin type $D$

Sira Gratz

arxiv:1311.4804 v3 · 2013-11-19 · 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{OS57U46AUVL3TZUXWSPSQI4H6L}

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	2026-05-18T00:39:58.754161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74bbfa73c0a557b9e697b49f282387f2fe8e31ea00f7789d9989a498f12f1163

Aliases

arxiv: 1311.4804 · arxiv_version: 1311.4804v3 · doi: 10.48550/arxiv.1311.4804 · pith_short_12: OS57U46AUVL3 · pith_short_16: OS57U46AUVL3TZUX · pith_short_8: OS57U46A

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/OS57U46AUVL3TZUXWSPSQI4H6L \
  | 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: 74bbfa73c0a557b9e697b49f282387f2fe8e31ea00f7789d9989a498f12f1163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a733beeb52d42b6c69d0ad7f1186fd06379954fcdc4def691bdf2d56877357f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-11-19T17:03:51Z",
    "title_canon_sha256": "7a21b8e70466942532b914cdf80a315474e370cd1e48eacf537198b47c4ad43b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4804",
    "kind": "arxiv",
    "version": 3
  }
}