Pith Number

pith:E2USSZAI

pith:2015:E2USSZAIY5IUWCJEP7M6TD4XNP

not attested not anchored not stored refs pending

Extensions of Cuntz-Krieger algebras

Rasmus Bentmann

arxiv:1511.09463 v1 · 2015-11-30 · 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{E2USSZAIY5IUWCJEP7M6TD4XNP}

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	2026-05-18T01:25:40.184091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26a9296408c7514b09247fd9e98f976be2f7c52dc75bb6f1901818eed7fd47a4

Aliases

arxiv: 1511.09463 · arxiv_version: 1511.09463v1 · doi: 10.48550/arxiv.1511.09463 · pith_short_12: E2USSZAIY5IU · pith_short_16: E2USSZAIY5IUWCJE · pith_short_8: E2USSZAI

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/E2USSZAIY5IUWCJEP7M6TD4XNP \
  | 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: 26a9296408c7514b09247fd9e98f976be2f7c52dc75bb6f1901818eed7fd47a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad7f551023cd3e8fbeef13a01b5a3aa3c832f871b93ea9f3b28bbb167140add3",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-11-30T20:40:53Z",
    "title_canon_sha256": "2a1596d3b28a11945afedc1481735c207ffbd55927631a3a97275350539e7bec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09463",
    "kind": "arxiv",
    "version": 1
  }
}