Pith Number

pith:YY7AHYYA

pith:2008:YY7AHYYA6SX3RRXBRYYMW2V6IV

not attested not anchored not stored refs pending

Nonsplitting in Kirchberg's ideal-related KK-theory

Efren Ruiz, Gunnar Restorff, Soren Eilers

arxiv:0801.0324 v3 · 2008-01-02 · 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{YY7AHYYA6SX3RRXBRYYMW2V6IV}

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	2026-05-18T03:14:17.941071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c63e03e300f4afb8c6e18e30cb6abe4566de149ba1be2ab7713c8118373da8cf

Aliases

arxiv: 0801.0324 · arxiv_version: 0801.0324v3 · doi: 10.48550/arxiv.0801.0324 · pith_short_12: YY7AHYYA6SX3 · pith_short_16: YY7AHYYA6SX3RRXB · pith_short_8: YY7AHYYA

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/YY7AHYYA6SX3RRXBRYYMW2V6IV \
  | 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: c63e03e300f4afb8c6e18e30cb6abe4566de149ba1be2ab7713c8118373da8cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95286e1ea1dc79afb70bbbb0074547250fc3d44d924ff953532e355918250770",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-01-02T00:56:27Z",
    "title_canon_sha256": "81fbd546a5c9c972100a3cfc66f0488e393e7ee3ec8c035791e7aa3ac4598184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0324",
    "kind": "arxiv",
    "version": 3
  }
}