Pith Number

pith:WOLCXTQ2

pith:2009:WOLCXTQ2ZI3NR34TSAD6COV5CB

not attested not anchored not stored refs pending

Unbounded bivariant $K$-theory and correspondences in noncommutative geometry

Bram Mesland

arxiv:0904.4383 v5 · 2009-04-28 · 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{WOLCXTQ2ZI3NR34TSAD6COV5CB}

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	2026-05-18T02:54:05.536139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3962bce1aca36d8ef939007e13abd1053f50c2536e311f56c2be5ad8df9aaec

Aliases

arxiv: 0904.4383 · arxiv_version: 0904.4383v5 · doi: 10.48550/arxiv.0904.4383 · pith_short_12: WOLCXTQ2ZI3N · pith_short_16: WOLCXTQ2ZI3NR34T · pith_short_8: WOLCXTQ2

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/WOLCXTQ2ZI3NR34TSAD6COV5CB \
  | 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: b3962bce1aca36d8ef939007e13abd1053f50c2536e311f56c2be5ad8df9aaec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ed8dbc251b6bd64b2a20e7619ff00910ede20f1fb5bb2894dfaef5c180c837f",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2009-04-28T12:50:08Z",
    "title_canon_sha256": "64099a1af23c0200994431f474b810ad2f2e191f655972095ba8b4aebaf68b2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4383",
    "kind": "arxiv",
    "version": 5
  }
}