Pith Number

pith:64HBB2UA

pith:2016:64HBB2UATBZAEDCEKCJDQR67VI

not attested not anchored not stored refs pending

Amenability of locally compact quantum groups and their unitary co-representations

Ami Viselter, Chi-Keung Ng

arxiv:1609.08920 v2 · 2016-09-28 · 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{64HBB2UATBZAEDCEKCJDQR67VI}

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	2026-05-18T00:43:35.576843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f70e10ea809872020c4450923847dfaa1ad5b39512768aa0bfaea8e4e880f087

Aliases

arxiv: 1609.08920 · arxiv_version: 1609.08920v2 · doi: 10.48550/arxiv.1609.08920 · pith_short_12: 64HBB2UATBZA · pith_short_16: 64HBB2UATBZAEDCE · pith_short_8: 64HBB2UA

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/64HBB2UATBZAEDCEKCJDQR67VI \
  | 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: f70e10ea809872020c4450923847dfaa1ad5b39512768aa0bfaea8e4e880f087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87145507fe34af2eae67e54eb2a9ac2cf82998e6ff1a502e89ab605047542a94",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-09-28T14:09:29Z",
    "title_canon_sha256": "9ad4473e086b0f494ca0a2c4ad57f166f7c54ba7fbb9a7ce951f3d33b5069540"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08920",
    "kind": "arxiv",
    "version": 2
  }
}