Pith Number

pith:QQ4TM543

pith:2018:QQ4TM543ZLFZHP2RDK6E7CMOAP

not attested not anchored not stored refs pending

Using Catalan words and a $q$-shuffle algebra to describe a PBW basis for the positive part of $U_q({\widehat {\mathfrak{sl}}}_2)$

Paul Terwilliger

arxiv:1806.11228 v1 · 2018-06-28 · 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{QQ4TM543ZLFZHP2RDK6E7CMOAP}

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	2026-05-18T00:12:03.159937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843936779bcacb93bf511abc4f898e03fb303c4034cb7c1c410f7490f5772976

Aliases

arxiv: 1806.11228 · arxiv_version: 1806.11228v1 · doi: 10.48550/arxiv.1806.11228 · pith_short_12: QQ4TM543ZLFZ · pith_short_16: QQ4TM543ZLFZHP2R · pith_short_8: QQ4TM543

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/QQ4TM543ZLFZHP2RDK6E7CMOAP \
  | 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: 843936779bcacb93bf511abc4f898e03fb303c4034cb7c1c410f7490f5772976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09d0f004b549ba5d211a261d4291c0f1397059c82d4d5cb0e89f34246e5be1e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-06-28T23:15:46Z",
    "title_canon_sha256": "de4dc1ddaf608d86bf40969b90db1723758ec054d2360112877bfae3ee1172f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11228",
    "kind": "arxiv",
    "version": 1
  }
}