Pith Number

pith:YXXBRYGZ

pith:2015:YXXBRYGZSAURPLPOIUTSVQXMMN

not attested not anchored not stored refs pending

Triangular bases in quantum cluster algebras and monoidal categorification conjectures

Fan Qin

arxiv:1501.04085 v5 · 2015-01-16 · math.QA · 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{YXXBRYGZSAURPLPOIUTSVQXMMN}

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	2026-05-18T00:32:45.143086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5ee18e0d9902917adee45272ac2ec634a7e419dcbd4db8b551a5d45614f2b2f

Aliases

arxiv: 1501.04085 · arxiv_version: 1501.04085v5 · doi: 10.48550/arxiv.1501.04085 · pith_short_12: YXXBRYGZSAUR · pith_short_16: YXXBRYGZSAURPLPO · pith_short_8: YXXBRYGZ

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/YXXBRYGZSAURPLPOIUTSVQXMMN \
  | 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: c5ee18e0d9902917adee45272ac2ec634a7e419dcbd4db8b551a5d45614f2b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b0b97c37e33ee55798e295eae87835a9e930cf91f576a670787df6fc9466ee",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-01-16T19:56:31Z",
    "title_canon_sha256": "47456996d1679ce7fd9f13a0c6c63d12991b91c2f1d8a4157e735c4062b304dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04085",
    "kind": "arxiv",
    "version": 5
  }
}