Pith Number

pith:6WFJZN37

pith:2015:6WFJZN37272GGZHU3TJ6JBJOF7

not attested not anchored not stored refs pending

Ergodic invariant states and irreducible representations of crossed product $C^*$-algebras

Huichi Huang, Jianchao Wu

arxiv:1505.06633 v3 · 2015-05-25 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6WFJZN37272GGZHU3TJ6JBJOF7}

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	2026-05-18T01:19:53.857663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f58a9cb77fd7f46364f4dcd3e4852e2fd968b28b8092392c69c94a5b4ac1cb55

Aliases

arxiv: 1505.06633 · arxiv_version: 1505.06633v3 · doi: 10.48550/arxiv.1505.06633 · pith_short_12: 6WFJZN37272G · pith_short_16: 6WFJZN37272GGZHU · pith_short_8: 6WFJZN37

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/6WFJZN37272GGZHU3TJ6JBJOF7 \
  | 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: f58a9cb77fd7f46364f4dcd3e4852e2fd968b28b8092392c69c94a5b4ac1cb55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed64aeff1a3464c7455aecdd162a9aaed64ae0e516cd2bc7e6d64bf1e2cb959f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-05-25T14:09:04Z",
    "title_canon_sha256": "5fee06e80424e0eaafa2802576179874c44977f78993647d06d64f92f4dcf3e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06633",
    "kind": "arxiv",
    "version": 3
  }
}