Pith Number

pith:AJJWKWGF

pith:2014:AJJWKWGFS34LHTRSMSQIVTHUKV

not attested not anchored not stored refs pending

Monoidal categorification of cluster algebras

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

arxiv:1412.8106 v1 · 2014-12-28 · 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{AJJWKWGFS34LHTRSMSQIVTHUKV}

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	2026-05-18T02:30:24.105384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02536558c596f8b3ce3264a08accf45579f7d55d2254b482fd37dcf0aa8cb662

Aliases

arxiv: 1412.8106 · arxiv_version: 1412.8106v1 · doi: 10.48550/arxiv.1412.8106 · pith_short_12: AJJWKWGFS34L · pith_short_16: AJJWKWGFS34LHTRS · pith_short_8: AJJWKWGF

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/AJJWKWGFS34LHTRSMSQIVTHUKV \
  | 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: 02536558c596f8b3ce3264a08accf45579f7d55d2254b482fd37dcf0aa8cb662

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7632b11aebca3ac07a55ebca3cf2a6c957e0dbf2c31d4b4c98ff67283e96f30",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-12-28T04:39:21Z",
    "title_canon_sha256": "3b2a5a6954374d623e9df2929f3cf61b6bc06a322b96e9bd662dec1c1ad16e07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8106",
    "kind": "arxiv",
    "version": 1
  }
}