Pith Number

pith:YEL7C6CK

pith:2026:YEL7C6CKBFG6FQ7CMS6BXJCOMW

not attested not anchored not stored refs pending

PBW bases and centralisers for the $q$-Onsager algebra

Haoran Zhu

arxiv:2607.10097 v1 · 2026-07-11 · math-ph · math.MP · 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{YEL7C6CKBFG6FQ7CMS6BXJCOMW}

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	2026-07-14T00:18:51.537048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c117f1784a094de2c3e264bc1ba44e65ac208dfbd3f9c8a74b2313dd0308ef66

Aliases

arxiv: 2607.10097 · arxiv_version: 2607.10097v1 · doi: 10.48550/arxiv.2607.10097 · pith_short_12: YEL7C6CKBFG6 · pith_short_16: YEL7C6CKBFG6FQ7C · pith_short_8: YEL7C6CK

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/YEL7C6CKBFG6FQ7CMS6BXJCOMW \
  | 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: c117f1784a094de2c3e264bc1ba44e65ac208dfbd3f9c8a74b2313dd0308ef66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f7eba831cd8e69ed02d2469cf8a9092ab61a23a6344bee76070e2d05cae532",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-11T03:27:59Z",
    "title_canon_sha256": "085166141f017acc40e42990238f9f7d2c735885ea18e5f155c05517fcb59332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10097",
    "kind": "arxiv",
    "version": 1
  }
}