Pith Number

pith:ZRB5HE7E

pith:2004:ZRB5HE7ET3PR7RVIGPHP3L6ALJ

not attested not anchored not stored refs pending

The Baum-Connes Conjecture for KK-theory

Otgonbayar Uuye

arxiv:math/0403511 v4 · 2004-03-30 · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRB5HE7ET3PR7RVIGPHP3L6ALJ}

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	2026-05-18T04:10:48.533711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc43d393e49edf1fc6a833cefdafc05a7c506439a4b3eecfaaa3e3e95e6c5556

Aliases

arxiv: math/0403511 · arxiv_version: math/0403511v4 · doi: 10.48550/arxiv.math/0403511 · pith_short_12: ZRB5HE7ET3PR · pith_short_16: ZRB5HE7ET3PR7RVI · pith_short_8: ZRB5HE7E

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/ZRB5HE7ET3PR7RVIGPHP3L6ALJ \
  | 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: cc43d393e49edf1fc6a833cefdafc05a7c506439a4b3eecfaaa3e3e95e6c5556

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a61b8499e349bd3412648b5d9e654a679861d1102365cefa62ef950a0b5c0ad1",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2004-03-30T08:28:11Z",
    "title_canon_sha256": "6619a851b905279669a3d8592e771e1a25b954bfbdd34df665e978088ab8deda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403511",
    "kind": "arxiv",
    "version": 4
  }
}