Pith Number

pith:Y4IKP2YC

pith:2011:Y4IKP2YCZI2IXTOD3FVWAVKKDI

not attested not anchored not stored refs pending

Twisted Frobenius-Schur indicators for Hopf algebras

Daniel S. Sage, Maria D. Vega

arxiv:1107.0742 v2 · 2011-07-04 · math.QA · 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{Y4IKP2YCZI2IXTOD3FVWAVKKDI}

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	2026-05-18T03:12:33.503366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c710a7eb02ca348bcdc3d96b60554a1a2ff7877b21b727e50c91e5395155d4d2

Aliases

arxiv: 1107.0742 · arxiv_version: 1107.0742v2 · doi: 10.48550/arxiv.1107.0742 · pith_short_12: Y4IKP2YCZI2I · pith_short_16: Y4IKP2YCZI2IXTOD · pith_short_8: Y4IKP2YC

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/Y4IKP2YCZI2IXTOD3FVWAVKKDI \
  | 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: c710a7eb02ca348bcdc3d96b60554a1a2ff7877b21b727e50c91e5395155d4d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bda3b3399d072d1d6f8ddbe289cde6b3065f7250e265ca65a124be8d5d34b5f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-07-04T20:47:30Z",
    "title_canon_sha256": "4ea070cbbd35239154fcf27e8f0170114f97413d987fa260c34e84be7d7db30a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0742",
    "kind": "arxiv",
    "version": 2
  }
}