Pith Number

pith:4JHI6F5X

pith:2024:4JHI6F5XXJKRC5X2EFPWHCHC4I

not attested not anchored not stored refs pending

On Fock covariance for product systems and the reduced Hao-Ng isomorphism problem by discrete actions

Evgenios T.A. Kakariadis, Ioannis Apollon Paraskevas

arxiv:2403.19764 v2 · 2024-03-28 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JHI6F5XXJKRC5X2EFPWHCHC4I}

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.

Cited by

1 paper in Pith

The Hao-Ng isomorphism theorem for reduced crossed products

Receipt and verification

First computed	2026-07-05T10:21:58.390217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e24e8f17b7ba551176fa215f6388e2e2256d1c4f61e9ea81c4800ada1f9176c3

Aliases

arxiv: 2403.19764 · arxiv_version: 2403.19764v2 · doi: 10.48550/arxiv.2403.19764 · pith_short_12: 4JHI6F5XXJKR · pith_short_16: 4JHI6F5XXJKRC5X2 · pith_short_8: 4JHI6F5X

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/4JHI6F5XXJKRC5X2EFPWHCHC4I \
  | 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: e24e8f17b7ba551176fa215f6388e2e2256d1c4f61e9ea81c4800ada1f9176c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05331b29a741c91aec54f1c1d1c85544ac84e21da6d45e7afa796ca3cfe034f5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-03-28T18:25:21Z",
    "title_canon_sha256": "93feac5a19ad5366b933cd707ee07e58b9a822274257a8f5cdeef455ce2407a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.19764",
    "kind": "arxiv",
    "version": 2
  }
}