Pith Number

pith:KHVTHDE5

pith:2015:KHVTHDE5AHG4UZF5LARLB5TXRS

not attested not anchored not stored refs pending

Quantum groups and generalized circular elements

Kay Kirkpatrick, Michael Brannan

arxiv:1505.05137 v2 · 2015-05-19 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHVTHDE5AHG4UZF5LARLB5TXRS}

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	2026-05-18T01:19:30.203520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51eb338c9d01cdca64bd5822b0f6778c80bbc12873497fa0137bb266dc163d22

Aliases

arxiv: 1505.05137 · arxiv_version: 1505.05137v2 · doi: 10.48550/arxiv.1505.05137 · pith_short_12: KHVTHDE5AHG4 · pith_short_16: KHVTHDE5AHG4UZF5 · pith_short_8: KHVTHDE5

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/KHVTHDE5AHG4UZF5LARLB5TXRS \
  | 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: 51eb338c9d01cdca64bd5822b0f6778c80bbc12873497fa0137bb266dc163d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5fb500cdb47f8a05549581bb590ea056f4bb568532721c096fa5a5aca5edd39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-05-19T19:55:53Z",
    "title_canon_sha256": "ba36efa6df1d34aaf2882f71dc6f813efd585c087ad8be867d2c267aa9c5e8e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05137",
    "kind": "arxiv",
    "version": 2
  }
}