Pith Number

pith:F76NIMQW

pith:2012:F76NIMQWTKMDU7P47AREJJ224J

not attested not anchored not stored refs pending

Linear independence of cluster monomials for skew-symmetric cluster algebras

Bernhard Keller, Daniel Labardini-Fragoso, Giovanni Cerulli Irelli, Pierre-Guy Plamondon

arxiv:1203.1307 v4 · 2012-03-06 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F76NIMQWTKMDU7P47AREJJ224J}

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	2026-05-18T03:32:05.674432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ffcd432169a983a7dfcf82244a75ae2786aca2f1124e67dafd3a22d700cc959

Aliases

arxiv: 1203.1307 · arxiv_version: 1203.1307v4 · doi: 10.48550/arxiv.1203.1307 · pith_short_12: F76NIMQWTKMD · pith_short_16: F76NIMQWTKMDU7P4 · pith_short_8: F76NIMQW

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/F76NIMQWTKMDU7P47AREJJ224J \
  | 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: 2ffcd432169a983a7dfcf82244a75ae2786aca2f1124e67dafd3a22d700cc959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a2a8973663e71cc17931cc785e6c5445356059fc6a0c040630cf055f7398c2",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-03-06T20:24:43Z",
    "title_canon_sha256": "b7ef739681cd5cd48995aa93e8714df3bc51d0d2b9a479658477bafc128b8630"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1307",
    "kind": "arxiv",
    "version": 4
  }
}