Pith Number

pith:YZVQF5OZ

pith:2013:YZVQF5OZYXN4ZFK5IKN7DQ7YHO

not attested not anchored not stored refs pending

Amenability of Closed Subgroups and Orlicz Spaces

Yaroslav Kopylov

arxiv:1305.6828 v3 · 2013-05-29 · math.RT · 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{YZVQF5OZYXN4ZFK5IKN7DQ7YHO}

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	2026-05-18T03:11:57.463549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c66b02f5d9c5dbcc955d429bf1c3f83b91a14879fe73ec41b0820a04488892c9

Aliases

arxiv: 1305.6828 · arxiv_version: 1305.6828v3 · doi: 10.48550/arxiv.1305.6828 · pith_short_12: YZVQF5OZYXN4 · pith_short_16: YZVQF5OZYXN4ZFK5 · pith_short_8: YZVQF5OZ

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/YZVQF5OZYXN4ZFK5IKN7DQ7YHO \
  | 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: c66b02f5d9c5dbcc955d429bf1c3f83b91a14879fe73ec41b0820a04488892c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d28e1f5f2fd1ec197b1ff31df1cdb6fd7dfeda9aa71cc2f3714812f9f752bfb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-05-29T15:08:17Z",
    "title_canon_sha256": "00cfb97f98058d9969cdac988996f2f4fedaef66a47cb228c2b25ebe6e9d18ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6828",
    "kind": "arxiv",
    "version": 3
  }
}