Pith Number

pith:DNGZT3O4

pith:2021:DNGZT3O44YPT7VVZ3AG5ALG423

not attested not anchored not stored refs pending

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

Paul Terwilliger

arxiv:2108.12708 v1 · 2021-08-28 · math.QA · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNGZT3O44YPT7VVZ3AG5ALG423}

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	2026-07-05T08:57:32.008875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b4d99eddce61f3fd6b9d80dd02cdcd6cc3e0c0a2a0c0ea3c80c096a483f6791

Aliases

arxiv: 2108.12708 · arxiv_version: 2108.12708v1 · doi: 10.48550/arxiv.2108.12708 · pith_short_12: DNGZT3O44YPT · pith_short_16: DNGZT3O44YPT7VVZ · pith_short_8: DNGZT3O4

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/DNGZT3O44YPT7VVZ3AG5ALG423 \
  | 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: 1b4d99eddce61f3fd6b9d80dd02cdcd6cc3e0c0a2a0c0ea3c80c096a483f6791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb2e697c3eec40b47426bab1d0d9b89ddfba8612d1c410867ccd000eeffdaa32",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2021-08-28T21:53:05Z",
    "title_canon_sha256": "3d39e42b6d94ef1d7378d5f565b23450f05f02e112a33241b69890cb10c31efc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.12708",
    "kind": "arxiv",
    "version": 1
  }
}