Pith Number

pith:PU4RBUSL

pith:2011:PU4RBUSLCRTHRSAB2TXTBZOINR

not attested not anchored not stored refs pending

Hopf algebras with triality

Georgia Benkart, Jos\'e M. P\'erez-Izquierdo, Sara Madariaga

arxiv:1106.4302 v1 · 2011-06-21 · 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{PU4RBUSLCRTHRSAB2TXTBZOINR}

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	2026-05-18T04:19:33.736364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d3910d24b146678c801d4ef30e5c86c6edc97172b07ca6038e98d69ae6582f7

Aliases

arxiv: 1106.4302 · arxiv_version: 1106.4302v1 · doi: 10.48550/arxiv.1106.4302 · pith_short_12: PU4RBUSLCRTH · pith_short_16: PU4RBUSLCRTHRSAB · pith_short_8: PU4RBUSL

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/PU4RBUSLCRTHRSAB2TXTBZOINR \
  | 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: 7d3910d24b146678c801d4ef30e5c86c6edc97172b07ca6038e98d69ae6582f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c841006d4a1edc7346f4046e4735d2d9e96a286ba94d8e5a0f72793171be22e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-06-21T19:48:06Z",
    "title_canon_sha256": "b083826337c792c424ee5dbcbc50cd8f0e6c44130720e674ebf3b5b475809679"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4302",
    "kind": "arxiv",
    "version": 1
  }
}