Pith Number

pith:J5FTR6AA

pith:2007:J5FTR6AA7OG5P23TGTJ6BEZJBR

not attested not anchored not stored refs pending

Braided enveloping algebras associated to quantum parabolic subalgebras

Jan E. Grabowski

arxiv:0706.0455 v3 · 2007-06-04 · 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{J5FTR6AA7OG5P23TGTJ6BEZJBR}

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	2026-05-18T04:08:33.767527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f4b38f800fb8dd7eb7334d3e093290c7991a5a4487c7bcdec51d6c53eb29551

Aliases

arxiv: 0706.0455 · arxiv_version: 0706.0455v3 · doi: 10.48550/arxiv.0706.0455 · pith_short_12: J5FTR6AA7OG5 · pith_short_16: J5FTR6AA7OG5P23T · pith_short_8: J5FTR6AA

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/J5FTR6AA7OG5P23TGTJ6BEZJBR \
  | 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: 4f4b38f800fb8dd7eb7334d3e093290c7991a5a4487c7bcdec51d6c53eb29551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "472354e93c8be5bcd6446b219d8c5962bfa3cbad623900a25dba5df79a8293c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2007-06-04T15:20:54Z",
    "title_canon_sha256": "fb60df21dc0418cfb3463df4a6cc8b320b30767f0045055f8198972b4772527e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0455",
    "kind": "arxiv",
    "version": 3
  }
}