Pith Number

pith:DK7F5JGZ

pith:2021:DK7F5JGZHB6UNEZFC4QCHDQF4L

not attested not anchored not stored refs pending

On Kumjian's C*-diagonals and the opaque ideal

Ruy Exel

arxiv:2110.09445 v2 · 2021-10-18 · 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{DK7F5JGZHB6UNEZFC4QCHDQF4L}

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.

Cited by

1 paper in Pith

Pseudo-Cartan Inclusions

Receipt and verification

First computed	2026-07-05T03:25:18.241833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1abe5ea4d9387d4693251720238e05e2cfc60b315826fe72785524185e5ed1ec

Aliases

arxiv: 2110.09445 · arxiv_version: 2110.09445v2 · doi: 10.48550/arxiv.2110.09445 · pith_short_12: DK7F5JGZHB6U · pith_short_16: DK7F5JGZHB6UNEZF · pith_short_8: DK7F5JGZ

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/DK7F5JGZHB6UNEZFC4QCHDQF4L \
  | 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: 1abe5ea4d9387d4693251720238e05e2cfc60b315826fe72785524185e5ed1ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6679cc457654256a9fef89aa1d38b2f15c1c84dc267c53c99b93c5a2b9a551b3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2021-10-18T16:28:15Z",
    "title_canon_sha256": "3afe86a4f5f57badd249c27f93b48cc87409e6a0251308b462920ecb4e4cf2e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.09445",
    "kind": "arxiv",
    "version": 2
  }
}