Pith Number

pith:A2LACNKN

pith:2015:A2LACNKNTKYQXAH4CZ2JUXSOG3

not attested not anchored not stored refs pending

Graded quantum cluster algebras of infinite rank as colimits

Jan E. Grabowski, Sira Gratz

arxiv:1510.04109 v1 · 2015-10-14 · 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{A2LACNKNTKYQXAH4CZ2JUXSOG3}

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	2026-05-18T01:30:09.190853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

069601354d9ab10b80fc16749a5e4e36f707d71c1ea4fd52078ef6c19dea836e

Aliases

arxiv: 1510.04109 · arxiv_version: 1510.04109v1 · doi: 10.48550/arxiv.1510.04109 · pith_short_12: A2LACNKNTKYQ · pith_short_16: A2LACNKNTKYQXAH4 · pith_short_8: A2LACNKN

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/A2LACNKNTKYQXAH4CZ2JUXSOG3 \
  | 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: 069601354d9ab10b80fc16749a5e4e36f707d71c1ea4fd52078ef6c19dea836e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91aa5bec3e713fd31608bf603b3ed0fcde89a6ab66fcf77ed9d014de58849199",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-10-14T14:18:00Z",
    "title_canon_sha256": "5c7b843ee8cc01e4b1d49abb57622e5970becb9b58b94bed30bed84e3844e3d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04109",
    "kind": "arxiv",
    "version": 1
  }
}