Pith Number

pith:KMVBNMNV

pith:2011:KMVBNMNV23IIYJDXFNSPQH7SKN

not attested not anchored not stored refs pending

Cyclic Sieving for torsion pairs in the cluster category of Dynkin type A_n

Martin Rubey, Stefan Kluge

arxiv:1101.1020 v1 · 2011-01-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMVBNMNV23IIYJDXFNSPQH7SKN}

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	2026-05-18T02:23:05.329116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

532a16b1b5d6d08c24772b64f81ff25362b0eef970b8f230897ec8b54476e9e3

Aliases

arxiv: 1101.1020 · arxiv_version: 1101.1020v1 · doi: 10.48550/arxiv.1101.1020 · pith_short_12: KMVBNMNV23II · pith_short_16: KMVBNMNV23IIYJDX · pith_short_8: KMVBNMNV

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/KMVBNMNV23IIYJDXFNSPQH7SKN \
  | 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: 532a16b1b5d6d08c24772b64f81ff25362b0eef970b8f230897ec8b54476e9e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7650adc61c9d9e5ea10423b1541583ff650c3b691c4f3c1860e3499e26ee7fd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-05T16:17:24Z",
    "title_canon_sha256": "244bc7b191f95dd99f62b43e90548130b47379aef2c4047196776a8e83de7552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1020",
    "kind": "arxiv",
    "version": 1
  }
}