Pith Number

pith:6RKUCFB3

pith:2017:6RKUCFB3BSCRQY5AY5ZMBNDA5K

not attested not anchored not stored refs pending

Positive definite functions on Coxeter groups with applications to operator spaces and noncommutative probability

Marek Bo\.zejko, \'Swiatos{\l}aw R. Gal, Wojciech M{\l}otkowski

arxiv:1704.06845 v1 · 2017-04-22 · math.OA · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6RKUCFB3BSCRQY5AY5ZMBNDA5K}

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	2026-05-18T00:09:31.308154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f45541143b0c851863a0c772c0b460eaaede0fdbe041394f0d9a2a149f77b131

Aliases

arxiv: 1704.06845 · arxiv_version: 1704.06845v1 · doi: 10.48550/arxiv.1704.06845 · pith_short_12: 6RKUCFB3BSCR · pith_short_16: 6RKUCFB3BSCRQY5A · pith_short_8: 6RKUCFB3

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/6RKUCFB3BSCRQY5AY5ZMBNDA5K \
  | 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: f45541143b0c851863a0c772c0b460eaaede0fdbe041394f0d9a2a149f77b131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7631ce6331088affd03f80db72db94d3cabca348948d587df701e8e3b9eeb83a",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-04-22T20:35:49Z",
    "title_canon_sha256": "3cec22c5b189f8a3c8dde4020400fab68834fbed446596840de1fd0963b148ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06845",
    "kind": "arxiv",
    "version": 1
  }
}