Pith Number

pith:KWJUDWDK

pith:2013:KWJUDWDKR7A2KJI3AOHH6OMK6T

not attested not anchored not stored refs pending

The PBW property for associative algebras as an integrability condition

Boris Shoikhet

arxiv:1307.6598 v1 · 2013-07-24 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KWJUDWDKR7A2KJI3AOHH6OMK6T}

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	2026-05-18T03:17:35.828001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

559341d86a8fc1a5251b038e7f398af4e34c95dbaa97f61c13fa911c9414f95e

Aliases

arxiv: 1307.6598 · arxiv_version: 1307.6598v1 · doi: 10.48550/arxiv.1307.6598 · pith_short_12: KWJUDWDKR7A2 · pith_short_16: KWJUDWDKR7A2KJI3 · pith_short_8: KWJUDWDK

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/KWJUDWDKR7A2KJI3AOHH6OMK6T \
  | 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: 559341d86a8fc1a5251b038e7f398af4e34c95dbaa97f61c13fa911c9414f95e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f096cf261c1e9bef3f4b788fb69f41c2683b6fa1d7e3fb855f4ca98c48cb7637",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-07-24T21:55:45Z",
    "title_canon_sha256": "c112981e1708ae0834a4ec8d8b001da0d578a82f9e8ab7147382d483eb2d4bc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6598",
    "kind": "arxiv",
    "version": 1
  }
}