Pith Number

pith:Q4ZLDMQ2

pith:2017:Q4ZLDMQ2CEFAMH5CSXKKDH7JC6

not attested not anchored not stored refs pending

Bivariant $KK$-Theory and the Baum-Connes conjecure

Siegfried Echterhoff

arxiv:1703.10912 v2 · 2017-03-31 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4ZLDMQ2CEFAMH5CSXKKDH7JC6}

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	2026-05-18T00:42:29.049340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8732b1b21a110a061fa295d4a19fe9179a4156137f18f4ea15696ba11b3c4a75

Aliases

arxiv: 1703.10912 · arxiv_version: 1703.10912v2 · doi: 10.48550/arxiv.1703.10912 · pith_short_12: Q4ZLDMQ2CEFA · pith_short_16: Q4ZLDMQ2CEFAMH5C · pith_short_8: Q4ZLDMQ2

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/Q4ZLDMQ2CEFAMH5CSXKKDH7JC6 \
  | 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: 8732b1b21a110a061fa295d4a19fe9179a4156137f18f4ea15696ba11b3c4a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d27245c5e12a5c2c4546a52915d1edc04233661ce086f836c6b1c28af51ed4f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-03-31T14:24:43Z",
    "title_canon_sha256": "405e6571649f9f9c575f614c914d7e1907a07c29f1884af019a7f418ae9698a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10912",
    "kind": "arxiv",
    "version": 2
  }
}