Pith Number

pith:RC5V2XR5

pith:2016:RC5V2XR5JB7EP4MSCHL46ISVJ3

not attested not anchored not stored refs pending

KMS states on the operator algebras of reducible higher-rank graphs

Astrid an Huef, Iain Raeburn, Sooran Kang

arxiv:1610.06648 v1 · 2016-10-21 · 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{RC5V2XR5JB7EP4MSCHL46ISVJ3}

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	2026-05-18T01:01:37.103169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88bb5d5e3d487e47f19211d7cf22554ee8cf18412ca7e5183db159242539201e

Aliases

arxiv: 1610.06648 · arxiv_version: 1610.06648v1 · doi: 10.48550/arxiv.1610.06648 · pith_short_12: RC5V2XR5JB7E · pith_short_16: RC5V2XR5JB7EP4MS · pith_short_8: RC5V2XR5

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/RC5V2XR5JB7EP4MSCHL46ISVJ3 \
  | 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: 88bb5d5e3d487e47f19211d7cf22554ee8cf18412ca7e5183db159242539201e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b3419c202c809ba6f960f01c2ad227f4792c823413906069b79945b75e5fcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-10-21T02:15:24Z",
    "title_canon_sha256": "deaef288c8da6dc6ece35f111b9e42973246998dd5214588a15edce04280b426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06648",
    "kind": "arxiv",
    "version": 1
  }
}