Pith Number

pith:ZYXIJYH4

pith:2015:ZYXIJYH4ELCBHNEKR4LRDXMISE

not attested not anchored not stored refs pending

Mean ergodic theorem for amenable discrete quantum groups and a Wiener type theorem for compact metrizable groups

Huichi Huang

arxiv:1506.02453 v4 · 2015-06-08 · math.OA · math.CA · 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{ZYXIJYH4ELCBHNEKR4LRDXMISE}

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	2026-05-18T01:11:08.597401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce2e84e0fc22c413b48a8f1711dd889138ea786c539fcb13db260956c2ee581a

Aliases

arxiv: 1506.02453 · arxiv_version: 1506.02453v4 · doi: 10.48550/arxiv.1506.02453 · pith_short_12: ZYXIJYH4ELCB · pith_short_16: ZYXIJYH4ELCBHNEK · pith_short_8: ZYXIJYH4

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/ZYXIJYH4ELCBHNEKR4LRDXMISE \
  | 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: ce2e84e0fc22c413b48a8f1711dd889138ea786c539fcb13db260956c2ee581a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80b7bcc396b191bb804bbceecbbd4e542ff901209b0b9be06c462c4d011523e5",
    "cross_cats_sorted": [
      "math.CA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-06-08T11:49:20Z",
    "title_canon_sha256": "10fba16050ae855c6bce2438b7d71e9c34d830de8fb7f340d9234b4c43f494a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02453",
    "kind": "arxiv",
    "version": 4
  }
}