Pith Number

pith:YDZBGINS

pith:2018:YDZBGINSPZMW5F4TP6RCEX7ZWI

not attested not anchored not stored refs pending

An expansion formula for type A and Kronecker quantum cluster algebras

Ilke Canakci, Philipp Lampe

arxiv:1807.07539 v2 · 2018-07-19 · math.QA · math.CO · 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{YDZBGINSPZMW5F4TP6RCEX7ZWI}

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	2026-05-18T00:05:21.429541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0f21321b27e596e97937fa2225ff9b22fa7b63de31936869c285b2383be5db6

Aliases

arxiv: 1807.07539 · arxiv_version: 1807.07539v2 · doi: 10.48550/arxiv.1807.07539 · pith_short_12: YDZBGINSPZMW · pith_short_16: YDZBGINSPZMW5F4T · pith_short_8: YDZBGINS

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/YDZBGINSPZMW5F4TP6RCEX7ZWI \
  | 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: c0f21321b27e596e97937fa2225ff9b22fa7b63de31936869c285b2383be5db6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26eb72f4a4ea27e106345be2e201e5565c04b7da318a2430bbce7160f86378dd",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-07-19T17:10:01Z",
    "title_canon_sha256": "5265c0416e12032bbef555adb621f547c5847f17bde177fcd86f88388515b101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07539",
    "kind": "arxiv",
    "version": 2
  }
}