Pith Number

pith:JDC3TNHG

pith:2012:JDC3TNHGGAZ6BCWGNTFOCXZ2XH

not attested not anchored not stored refs pending

Amenability and covariant injectivity of locally compact quantum groups

Jason Crann, Matthias Neufang

arxiv:1208.2986 v3 · 2012-08-14 · 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{JDC3TNHGGAZ6BCWGNTFOCXZ2XH}

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	2026-05-18T02:38:53.324728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48c5b9b4e63033e08ac66ccae15f3ab9f7ce480a29b8d60761d82baa588fff9b

Aliases

arxiv: 1208.2986 · arxiv_version: 1208.2986v3 · doi: 10.48550/arxiv.1208.2986 · pith_short_12: JDC3TNHGGAZ6 · pith_short_16: JDC3TNHGGAZ6BCWG · pith_short_8: JDC3TNHG

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/JDC3TNHGGAZ6BCWGNTFOCXZ2XH \
  | 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: 48c5b9b4e63033e08ac66ccae15f3ab9f7ce480a29b8d60761d82baa588fff9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b97f7abb84cf66fb503cda1f8971fd7225306a9821c8ef6e6009aec6d8d2e7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-08-14T22:25:36Z",
    "title_canon_sha256": "ad1bc3501cdd561f3f21326dc032ba5c764eaaea6609fa9b4e7ce58fa28b4f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2986",
    "kind": "arxiv",
    "version": 3
  }
}