Pith Number

pith:U6SIN7XQ

pith:2012:U6SIN7XQGBXBIWM3DAVP3EGF6D

not attested not anchored not stored refs pending

Dual polar graphs, the quantum algebra U_q(sl_2), and Leonard systems of dual q-Krawtchouk type

Chalermpong Worawannotai

arxiv:1205.2144 v1 · 2012-05-10 · 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{U6SIN7XQGBXBIWM3DAVP3EGF6D}

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	2026-05-18T03:55:56.939839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7a486fef0306e14599b182afd90c5f0fbf5d1f880e3e04bf1066cd439005b3e

Aliases

arxiv: 1205.2144 · arxiv_version: 1205.2144v1 · doi: 10.48550/arxiv.1205.2144 · pith_short_12: U6SIN7XQGBXB · pith_short_16: U6SIN7XQGBXBIWM3 · pith_short_8: U6SIN7XQ

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/U6SIN7XQGBXBIWM3DAVP3EGF6D \
  | 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: a7a486fef0306e14599b182afd90c5f0fbf5d1f880e3e04bf1066cd439005b3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f718c8bc651f217b666bc902f6e522974254a6d50b4a3eb3aec0f443f42f69c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-10T02:43:10Z",
    "title_canon_sha256": "47adce5ce94fbb12182234fb0fe52c3e52b5fe3dea46f55b6c16866d158d426e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2144",
    "kind": "arxiv",
    "version": 1
  }
}