Pith Number

pith:VTRK4RB4

pith:2024:VTRK4RB46P45V2IDMIEWTEKMLT

not attested not anchored not stored refs pending

Generalized homomorphisms and KK with extra structure

James Gabe, Joachim Cuntz

arxiv:2404.06840 v1 · 2024-04-10 · 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{VTRK4RB46P45V2IDMIEWTEKMLT}

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.

Cited by

1 paper in Pith

Equivariant $KK$-theory and model categories

Receipt and verification

First computed	2026-07-05T08:06:30.902554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace2ae443cf3f9dae903620969914c5cc238f1ebef83eff09c876dcf509b977b

Aliases

arxiv: 2404.06840 · arxiv_version: 2404.06840v1 · doi: 10.48550/arxiv.2404.06840 · pith_short_12: VTRK4RB46P45 · pith_short_16: VTRK4RB46P45V2ID · pith_short_8: VTRK4RB4

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/VTRK4RB46P45V2IDMIEWTEKMLT \
  | 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: ace2ae443cf3f9dae903620969914c5cc238f1ebef83eff09c876dcf509b977b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67241a14eb5baff9428dee96b92e80bc28f34219d79b32144a78eb682bcad365",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2024-04-10T09:06:10Z",
    "title_canon_sha256": "0461109a023ae9ff25efaa18c23f126c2ea78946e4de80e851b38d4180919947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.06840",
    "kind": "arxiv",
    "version": 1
  }
}