Pith Number

pith:3LWBR6SG

pith:2011:3LWBR6SGPRISMSIZPTEPFJFV4B

not attested not anchored not stored refs pending

Ext algebra of Nichols algebras of type $A_2$

Xiaolan Yu, Yinhuo Zhang

arxiv:1107.4437 v1 · 2011-07-22 · 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{3LWBR6SGPRISMSIZPTEPFJFV4B}

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	2026-05-18T04:17:04.045360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daec18fa467c512649197cc8f2a4b5e04b8260d537a6288008ce8f9ba9a42093

Aliases

arxiv: 1107.4437 · arxiv_version: 1107.4437v1 · doi: 10.48550/arxiv.1107.4437 · pith_short_12: 3LWBR6SGPRIS · pith_short_16: 3LWBR6SGPRISMSIZ · pith_short_8: 3LWBR6SG

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/3LWBR6SGPRISMSIZPTEPFJFV4B \
  | 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: daec18fa467c512649197cc8f2a4b5e04b8260d537a6288008ce8f9ba9a42093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dbcf7305896711ec8322bb270b3be9fc5d9d45a90b2ad184a021c2014772134",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-07-22T07:33:41Z",
    "title_canon_sha256": "662180112c040d146ff08a1aa7dcbd6fb6908c7e3bf04b146cd36a5bc5504b20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4437",
    "kind": "arxiv",
    "version": 1
  }
}