Pith Number

pith:CP4NEKCM

pith:2013:CP4NEKCM5AP3C2JOIDTZA3YQDY

not attested not anchored not stored refs pending

The K-homology of nets of C*-algebras

Ezio Vasselli, Giuseppe Ruzzi

arxiv:1312.2944 v3 · 2013-12-10 · math.OA · math-ph · math.KT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CP4NEKCM5AP3C2JOIDTZA3YQDY}

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	2026-05-18T02:26:02.853100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f8d2284ce81fb1692e40e7906f101e38ce8a3a428f64c3c414e97fd40b2234

Aliases

arxiv: 1312.2944 · arxiv_version: 1312.2944v3 · doi: 10.48550/arxiv.1312.2944 · pith_short_12: CP4NEKCM5AP3 · pith_short_16: CP4NEKCM5AP3C2JO · pith_short_8: CP4NEKCM

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/CP4NEKCM5AP3C2JOIDTZA3YQDY \
  | 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: 13f8d2284ce81fb1692e40e7906f101e38ce8a3a428f64c3c414e97fd40b2234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66cae0186fe5847da3d8350e6016c0e476fbe33c6f364e0c8c9e2dc80f0e77dd",
    "cross_cats_sorted": [
      "math-ph",
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-12-10T20:54:02Z",
    "title_canon_sha256": "47161f7229e1e6c9198fcb9f06cfeddd080457d66fa2c90da4b7f7e948e405ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2944",
    "kind": "arxiv",
    "version": 3
  }
}