Pith Number

pith:HAPBPB7V

pith:2011:HAPBPB7VMUXWNBBNSUICZIHPKF

not attested not anchored not stored refs pending

Nuclear dimension for an inclusion of unital C*-algebras

Hiroyuki Osaka, Tamotsu Teruya

arxiv:1111.1808 v1 · 2011-11-08 · 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{HAPBPB7VMUXWNBBNSUICZIHPKF}

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	2026-05-18T04:09:24.691383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

381e1787f5652f66842d95102ca0ef5151d38bc9ec2df68660fc0d28ab8e0bfc

Aliases

arxiv: 1111.1808 · arxiv_version: 1111.1808v1 · doi: 10.48550/arxiv.1111.1808 · pith_short_12: HAPBPB7VMUXW · pith_short_16: HAPBPB7VMUXWNBBN · pith_short_8: HAPBPB7V

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/HAPBPB7VMUXWNBBNSUICZIHPKF \
  | 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: 381e1787f5652f66842d95102ca0ef5151d38bc9ec2df68660fc0d28ab8e0bfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "645af4890913b0cd2a72ea9c609d5f4a8084336630fe7c32ade5420c732b9bab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-11-08T05:59:37Z",
    "title_canon_sha256": "d780785fff77b17f1cfdd25cc163292a207ea74b426e078b428f8a5ee29794c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1808",
    "kind": "arxiv",
    "version": 1
  }
}