Pith Number

pith:Q2U5DRCO

pith:2013:Q2U5DRCOVPXY5HGEF37FTGGM72

not attested not anchored not stored refs pending

One-parameter continuous fields of Kirchberg algebras with rational K-theory

Marius Dadarlat, Rasmus Bentmann

arxiv:1306.1691 v2 · 2013-06-07 · math.OA · 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{Q2U5DRCOVPXY5HGEF37FTGGM72}

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	2026-05-18T03:08:07.049262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a9d1c44eabef8e9cc42efe5998ccfeafe2469827b539a4cf93b535fc711a27

Aliases

arxiv: 1306.1691 · arxiv_version: 1306.1691v2 · doi: 10.48550/arxiv.1306.1691 · pith_short_12: Q2U5DRCOVPXY · pith_short_16: Q2U5DRCOVPXY5HGE · pith_short_8: Q2U5DRCO

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/Q2U5DRCOVPXY5HGEF37FTGGM72 \
  | 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: 86a9d1c44eabef8e9cc42efe5998ccfeafe2469827b539a4cf93b535fc711a27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ecf537b29981c0fe77318a7ddda9d56d465aa5fdd7865586ec059237bd32ef2",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-06-07T11:19:37Z",
    "title_canon_sha256": "afc4eabefe1dd4f70e0b34369670250010071369f3a4912b1394f7922fe72f10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1691",
    "kind": "arxiv",
    "version": 2
  }
}