Pith Number

pith:SP4DYU2B

pith:2001:SP4DYU2BT5AYYQ2MGUYHDTQS3T

not attested not anchored not stored refs pending

The FRT-dual U(O(G_q) \bowtie O(G_q)) and the q-Lorentz Algebra

Ulrich Kraehmer

arxiv:math/0109157 v3 · 2001-09-21 · 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{SP4DYU2BT5AYYQ2MGUYHDTQS3T}

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	2026-05-18T04:42:22.506620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f83c53419f418c434c353071ce12dcf2a6424fd576afb22697c33c834af8f0

Aliases

arxiv: math/0109157 · arxiv_version: math/0109157v3 · doi: 10.48550/arxiv.math/0109157 · pith_short_12: SP4DYU2BT5AY · pith_short_16: SP4DYU2BT5AYYQ2M · pith_short_8: SP4DYU2B

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/SP4DYU2BT5AYYQ2MGUYHDTQS3T \
  | 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: 93f83c53419f418c434c353071ce12dcf2a6424fd576afb22697c33c834af8f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7f016e4c840edeb2a44a083aeaa4f9141f2a2fcb1ec3e361fe6a393944df010",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-09-21T15:23:03Z",
    "title_canon_sha256": "2cf57dd98aef69f55d2c41e4396ffd2b0cd991c8b97da365f381e2ec96ce82b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0109157",
    "kind": "arxiv",
    "version": 3
  }
}