Pith Number

pith:5EKIQMKS

pith:2016:5EKIQMKSEGOS65OE7SZIXITZ3C

not attested not anchored not stored refs pending

Frobenius reciprocity and the Haagerup tensor product

Tyrone Crisp

arxiv:1605.06023 v2 · 2016-05-19 · math.OA · 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{5EKIQMKSEGOS65OE7SZIXITZ3C}

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	2026-05-18T00:51:17.448478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e914883152219d2f75c4fcb28ba279d8848e8ddb30bc572a2563a1ea43b29485

Aliases

arxiv: 1605.06023 · arxiv_version: 1605.06023v2 · doi: 10.48550/arxiv.1605.06023 · pith_short_12: 5EKIQMKSEGOS · pith_short_16: 5EKIQMKSEGOS65OE · pith_short_8: 5EKIQMKS

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/5EKIQMKSEGOS65OE7SZIXITZ3C \
  | 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: e914883152219d2f75c4fcb28ba279d8848e8ddb30bc572a2563a1ea43b29485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ef9a2f2cec911ee010361b033eb586de831fab5d1e01c49e8a7ee581b8c81d3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-05-19T15:57:00Z",
    "title_canon_sha256": "26a049ff04f7096f70101bde24d55b09921db58e5f1b5b46ce3cd8cf801880bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06023",
    "kind": "arxiv",
    "version": 2
  }
}