Pith Number

pith:YA7NJNKJ

pith:2015:YA7NJNKJIBMDRCOSNPQOTYORHY

not attested not anchored not stored refs pending

Extended Affine Weyl groups, the Baum-Connes correspondence and Langlands duality

Graham A. Niblo, Nick Wright, Roger Plymen

arxiv:1512.06662 v2 · 2015-12-21 · math.KT · math.OA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YA7NJNKJIBMDRCOSNPQOTYORHY}

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	2026-05-18T01:23:02.120962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c03ed4b54940583889d26be0e9e1d13e1bcc23a7dd27c29f5dafebc86ddb4bc8

Aliases

arxiv: 1512.06662 · arxiv_version: 1512.06662v2 · doi: 10.48550/arxiv.1512.06662 · pith_short_12: YA7NJNKJIBMD · pith_short_16: YA7NJNKJIBMDRCOS · pith_short_8: YA7NJNKJ

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/YA7NJNKJIBMDRCOSNPQOTYORHY \
  | 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: c03ed4b54940583889d26be0e9e1d13e1bcc23a7dd27c29f5dafebc86ddb4bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "651589820f80fd121325b427755c3258622ac8ef83b09cba1e06bbb281474fc0",
    "cross_cats_sorted": [
      "math.OA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-12-21T15:25:47Z",
    "title_canon_sha256": "12cd5e46d9159fcf0249a211b11b42c3487d56cbd18f95b35994388ccee2d78a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06662",
    "kind": "arxiv",
    "version": 2
  }
}