Pith Number

pith:67EI4W5R

pith:2015:67EI4W5RJOSIOJEITW34PTLCMD

not attested not anchored not stored refs pending

Monoidal categorification of cluster algebras II

Masaki Kashiwara, MyungHo Kim, Se-Jin Oh, Seok-Jin Kang

arxiv:1502.06714 v1 · 2015-02-24 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67EI4W5RJOSIOJEITW34PTLCMD}

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	2026-05-18T02:26:29.351221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7c88e5bb14ba48724889db7c7cd6260d13908000691aac5276be81dd38b34a4

Aliases

arxiv: 1502.06714 · arxiv_version: 1502.06714v1 · doi: 10.48550/arxiv.1502.06714 · pith_short_12: 67EI4W5RJOSI · pith_short_16: 67EI4W5RJOSIOJEI · pith_short_8: 67EI4W5R

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/67EI4W5RJOSIOJEITW34PTLCMD \
  | 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: f7c88e5bb14ba48724889db7c7cd6260d13908000691aac5276be81dd38b34a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4580458c44fe2bfe22b7dd99d08c912a73fbfb733356a02393e02e6182b3fcd",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-02-24T08:52:17Z",
    "title_canon_sha256": "7ec7cfa8af0d0eef76f687e0ee78734c3f2067784f3e45448897ffa6651533cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06714",
    "kind": "arxiv",
    "version": 1
  }
}