Pith Number

pith:6S62JJN6

pith:2010:6S62JJN6YNPHFWVGKUBDWNWGMS

not attested not anchored not stored refs pending

A short proof of Kontsevich cluster conjecture

Arkady Berenstein, Vladimir Retakh

arxiv:1011.0245 v2 · 2010-11-01 · math.QA · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6S62JJN6YNPHFWVGKUBDWNWGMS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:36:32.876052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4bda4a5bec35e72daa655023b36c664ad959770421b15b639ae7c4df01b72b9

Aliases

arxiv: 1011.0245 · arxiv_version: 1011.0245v2 · doi: 10.48550/arxiv.1011.0245 · pith_short_12: 6S62JJN6YNPH · pith_short_16: 6S62JJN6YNPHFWVG · pith_short_8: 6S62JJN6

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/6S62JJN6YNPHFWVGKUBDWNWGMS \
  | 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: f4bda4a5bec35e72daa655023b36c664ad959770421b15b639ae7c4df01b72b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "462bf19e3cafe729d61a87aeef6dfdb2f168c2a651aecf0a53fca85a5190e5bb",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-11-01T04:06:40Z",
    "title_canon_sha256": "ee895d32b40c67cb617ab0a105f49efa486e4169eca5a7999a9f742db220f506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0245",
    "kind": "arxiv",
    "version": 2
  }
}