Pith Number

pith:LACDWN7K

pith:2007:LACDWN7K7WHCYKOIJIMU3IL3S4

not attested not anchored not stored refs pending

A Problem of Powers and the Product of Spatial Product Systems

B. V. Rajarama Bhat, Michael Skeide, Volkmar Liebscher

arxiv:0801.0042 v1 · 2007-12-29 · 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{LACDWN7K7WHCYKOIJIMU3IL3S4}

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	2026-05-18T03:06:52.324788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58043b37eafd8e2c29c84a194da17b9731b0da2a6ad4ddf7884cc3ff0445fb28

Aliases

arxiv: 0801.0042 · arxiv_version: 0801.0042v1 · doi: 10.48550/arxiv.0801.0042 · pith_short_12: LACDWN7K7WHC · pith_short_16: LACDWN7K7WHCYKOI · pith_short_8: LACDWN7K

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/LACDWN7K7WHCYKOIJIMU3IL3S4 \
  | 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: 58043b37eafd8e2c29c84a194da17b9731b0da2a6ad4ddf7884cc3ff0445fb28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dd98159273623eb15cb128fa8664b24b430c0fff3a305e8af50faed7bc4684a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2007-12-29T09:59:46Z",
    "title_canon_sha256": "af15cc3e613dfe073af235481ffb2ca14ee8e3df100170b119f10365c4595a80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0042",
    "kind": "arxiv",
    "version": 1
  }
}