Pith Number

pith:5VPP5GAL

pith:2017:5VPP5GALPTC34VS4KKJG4YHMX7

not attested not anchored not stored refs pending

A Galois correspondence for reduced crossed products of unital simple C$^*$-algebras by discrete groups

Jan Cameron, Roger R. Smith

arxiv:1706.01803 v2 · 2017-06-06 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VPP5GALPTC34VS4KKJG4YHMX7}

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	2026-05-17T23:53:06.829762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed5efe980b7cc5be565c52926e60ecbff96323ef19e6d611e01ae7c9eeb6d3bb

Aliases

arxiv: 1706.01803 · arxiv_version: 1706.01803v2 · doi: 10.48550/arxiv.1706.01803 · pith_short_12: 5VPP5GALPTC3 · pith_short_16: 5VPP5GALPTC34VS4 · pith_short_8: 5VPP5GAL

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/5VPP5GALPTC34VS4KKJG4YHMX7 \
  | 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: ed5efe980b7cc5be565c52926e60ecbff96323ef19e6d611e01ae7c9eeb6d3bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "555f9d738bb7c9c1ab6f521b461516c81d1f8980a0756babedfc2b21d98c47db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-06T14:58:29Z",
    "title_canon_sha256": "d4712738131423ee67fa6e0993b69244fa9d9c3d58a1fb014a14b078867fad99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01803",
    "kind": "arxiv",
    "version": 2
  }
}