Pith Number

pith:KEHALKVN

pith:2011:KEHALKVNW7JL4BBXYNWI35ASRE

not attested not anchored not stored refs pending

On a family of Hopf algebras of dimension 72

C. Vay, N. Andruskiewitsch

arxiv:1105.0394 v1 · 2011-05-02 · 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{KEHALKVNW7JL4BBXYNWI35ASRE}

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	2026-05-18T03:39:14.753571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

510e05aaadb7d2be0437c36c8df4128911576f17c7350bfbda7197b0c2f70d8f

Aliases

arxiv: 1105.0394 · arxiv_version: 1105.0394v1 · doi: 10.48550/arxiv.1105.0394 · pith_short_12: KEHALKVNW7JL · pith_short_16: KEHALKVNW7JL4BBX · pith_short_8: KEHALKVN

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/KEHALKVNW7JL4BBXYNWI35ASRE \
  | 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: 510e05aaadb7d2be0437c36c8df4128911576f17c7350bfbda7197b0c2f70d8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e428a6ee357203190af28e7de24627fc88308c986c398bb4903517f7117bd24b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-05-02T18:16:30Z",
    "title_canon_sha256": "c635aea5223e3f4e5f7b20c66b6afaf635c086704963c29dcc23f231024142a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0394",
    "kind": "arxiv",
    "version": 1
  }
}