Pith Number

pith:CYVIFH4M

pith:2017:CYVIFH4MONBOH23ASOAVJPXROW

not attested not anchored not stored refs pending

Quantum groups, property (T), and weak mixing

David Kerr, Michael Brannan

arxiv:1706.00554 v1 · 2017-06-02 · math.OA · math.FA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYVIFH4MONBOH23ASOAVJPXROW}

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	2026-05-18T00:28:55.527391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

162a829f8c7342e3eb60938154bef1758687317e6042b12095fd5d36200285e3

Aliases

arxiv: 1706.00554 · arxiv_version: 1706.00554v1 · doi: 10.48550/arxiv.1706.00554 · pith_short_12: CYVIFH4MONBO · pith_short_16: CYVIFH4MONBOH23A · pith_short_8: CYVIFH4M

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/CYVIFH4MONBOH23ASOAVJPXROW \
  | 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: 162a829f8c7342e3eb60938154bef1758687317e6042b12095fd5d36200285e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba55af759725af2be7357895cafd49172301760d9b1ea26b06d40a217eea6b10",
    "cross_cats_sorted": [
      "math.FA",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-02T04:53:01Z",
    "title_canon_sha256": "091524c51851a052971927cf3a92475694fac1104d15251ca820f9174718ff40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00554",
    "kind": "arxiv",
    "version": 1
  }
}