Pith Number

pith:DN6JROON

pith:2011:DN6JROONIU5TRDRGK5B6GVCUMH

not attested not anchored not stored refs pending

A note on weak amenability for reduced free products of discrete quantum groups

Amaury Freslon

arxiv:1111.5168 v3 · 2011-11-22 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DN6JROONIU5TRDRGK5B6GVCUMH}

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	2026-05-18T03:05:08.631328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b7c98b9cd453b388e265743e3545461f599b4e0b72de0e8122a107f08ea2767

Aliases

arxiv: 1111.5168 · arxiv_version: 1111.5168v3 · doi: 10.48550/arxiv.1111.5168 · pith_short_12: DN6JROONIU5T · pith_short_16: DN6JROONIU5TRDRG · pith_short_8: DN6JROON

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/DN6JROONIU5TRDRGK5B6GVCUMH \
  | 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: 1b7c98b9cd453b388e265743e3545461f599b4e0b72de0e8122a107f08ea2767

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eefb6410a4b5906a5650b31131b3bc5dfc45812a56a92abad284ea91c126447",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-11-22T12:03:42Z",
    "title_canon_sha256": "bb077f0c94d9f624409fb80cb1fac72cfb7ff981a0ab7da106786d52fd7e8f65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5168",
    "kind": "arxiv",
    "version": 3
  }
}