Pith Number

pith:5575CQGT

pith:2011:5575CQGTMXGWB6ADIDSXG6PQWQ

not attested not anchored not stored refs pending

On spectral triples on crossed products arising from equicontinuous actions

Adam Skalski, Andrew Hawkins, Joachim Zacharias, Stuart White

arxiv:1103.6199 v4 · 2011-03-31 · 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{5575CQGTMXGWB6ADIDSXG6PQWQ}

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	2026-05-18T01:34:42.471379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef7fd140d365cd60f80340e57379f0b414b1daa99a43644aba733ed50b1c0ed4

Aliases

arxiv: 1103.6199 · arxiv_version: 1103.6199v4 · doi: 10.48550/arxiv.1103.6199 · pith_short_12: 5575CQGTMXGW · pith_short_16: 5575CQGTMXGWB6AD · pith_short_8: 5575CQGT

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/5575CQGTMXGWB6ADIDSXG6PQWQ \
  | 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: ef7fd140d365cd60f80340e57379f0b414b1daa99a43644aba733ed50b1c0ed4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1defb8a9639a7decc8032744c1fd9c5387fbe259cf6546e53cd5b4ff9716cfa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-03-31T14:46:13Z",
    "title_canon_sha256": "aec9f779d2b29e5926077a11ee34580b8a2d320649d12559b1dce420325260f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6199",
    "kind": "arxiv",
    "version": 4
  }
}