Pith Number

pith:KYGCLMO5

pith:2006:KYGCLMO5BTWVBYYJ6PUKEGJYLI

not attested not anchored not stored refs pending

Special biserial coalgebras and representations of quantum SL(2)

William Chin

arxiv:math/0609370 v5 · 2006-09-13 · math.QA · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KYGCLMO5BTWVBYYJ6PUKEGJYLI}

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	2026-05-18T04:26:01.675347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

560c25b1dd0ced50e309f3e8a219385a10a61fc45cd2126e0674b526a80c6dde

Aliases

arxiv: math/0609370 · arxiv_version: math/0609370v5 · doi: 10.48550/arxiv.math/0609370 · pith_short_12: KYGCLMO5BTWV · pith_short_16: KYGCLMO5BTWVBYYJ · pith_short_8: KYGCLMO5

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/KYGCLMO5BTWVBYYJ6PUKEGJYLI \
  | 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: 560c25b1dd0ced50e309f3e8a219385a10a61fc45cd2126e0674b526a80c6dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d19a28da06b29ddff5dde1c840bca193364af52da79c3165770b9395451c93d",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2006-09-13T20:38:53Z",
    "title_canon_sha256": "61d752b9a70bdbe1bf330855dbe3a5128d473e014be2ccfc923a9c8c62fd0ee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609370",
    "kind": "arxiv",
    "version": 5
  }
}