Pith Number

pith:YZ6BIZDL

pith:2013:YZ6BIZDLTS2ZNGIBMBVFZBYZR5

not attested not anchored not stored refs pending

On the existence of orders in semisimple Hopf algebras

Ehud Meir, Juan Cuadra

arxiv:1307.3269 v3 · 2013-07-11 · 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{YZ6BIZDLTS2ZNGIBMBVFZBYZR5}

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	2026-05-18T03:01:10.432044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c67c14646b9cb5969901606a5c87198f49538603edea2c5b012879ba7a89101e

Aliases

arxiv: 1307.3269 · arxiv_version: 1307.3269v3 · doi: 10.48550/arxiv.1307.3269 · pith_short_12: YZ6BIZDLTS2Z · pith_short_16: YZ6BIZDLTS2ZNGIB · pith_short_8: YZ6BIZDL

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/YZ6BIZDLTS2ZNGIBMBVFZBYZR5 \
  | 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: c67c14646b9cb5969901606a5c87198f49538603edea2c5b012879ba7a89101e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3634f4e049cf48e6d47a1ee2618bcb20e6d4dab1dca6070c27651af170af6581",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-07-11T20:40:09Z",
    "title_canon_sha256": "4c4edaa0ffa78fd01fc464b4137a07878707bc9ced6df15ebeb03f0ba145b375"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3269",
    "kind": "arxiv",
    "version": 3
  }
}