Pith Number

pith:4R7TU2ZG

pith:2012:4R7TU2ZG7JZHWS57IQWTF7AEGH

not attested not anchored not stored refs pending

Weyl character formula in KK-theory

Jonathan Block, Nigel Higson

arxiv:1206.4266 v1 · 2012-06-19 · 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{4R7TU2ZG7JZHWS57IQWTF7AEGH}

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	2026-05-18T03:53:07.564084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47f3a6b26fa727b4bbf442d32fc0431cfaf40d43ebb8231e798942b7aaf78b8

Aliases

arxiv: 1206.4266 · arxiv_version: 1206.4266v1 · doi: 10.48550/arxiv.1206.4266 · pith_short_12: 4R7TU2ZG7JZH · pith_short_16: 4R7TU2ZG7JZHWS57 · pith_short_8: 4R7TU2ZG

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/4R7TU2ZG7JZHWS57IQWTF7AEGH \
  | 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: e47f3a6b26fa727b4bbf442d32fc0431cfaf40d43ebb8231e798942b7aaf78b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17c8b7c2e20c11645100209468b638cefdcc9e7598c0c0abdac7b0a3b6353cd5",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-06-19T16:56:18Z",
    "title_canon_sha256": "9c1cdb3994b3bf2e14ebd67df14909c980f1891fd7df426d35657e5593e54d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4266",
    "kind": "arxiv",
    "version": 1
  }
}