Pith Number

pith:G7I3GSMJ

pith:2012:G7I3GSMJII5APTDPZL26NMRHFQ

not attested not anchored not stored refs pending

Triangular bases in quantum cluster algebras

Andrei Zelevinsky, Arkady Berenstein

arxiv:1206.3586 v2 · 2012-06-15 · math.QA · math.RA · 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{G7I3GSMJII5APTDPZL26NMRHFQ}

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	2026-05-18T03:41:10.567558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37d1b34989423a07cc6fcaf5e6b2272c20b77ddfc40f858afc1ef43ed5647962

Aliases

arxiv: 1206.3586 · arxiv_version: 1206.3586v2 · doi: 10.48550/arxiv.1206.3586 · pith_short_12: G7I3GSMJII5A · pith_short_16: G7I3GSMJII5APTDP · pith_short_8: G7I3GSMJ

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/G7I3GSMJII5APTDPZL26NMRHFQ \
  | 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: 37d1b34989423a07cc6fcaf5e6b2272c20b77ddfc40f858afc1ef43ed5647962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "857d06b2529d5cb7440b3ae12775431263b990f618e8c626efa1721b9d1f9f1c",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-06-15T20:23:28Z",
    "title_canon_sha256": "f100e09e7dc880c94a9144615d6a6c012c7a61ed7b1d893b1c90f6805102914a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3586",
    "kind": "arxiv",
    "version": 2
  }
}