pith. sign in
Pith Number

pith:EPM22PVJ

pith:2016:EPM22PVJKFPPBIJMUSQ4ORZ24C
not attested not anchored not stored refs pending

Hilbert $C^*$-modules over $\Sigma^*$-algebras

Clifford A. Bearden

arxiv:1605.06521 v2 · 2016-05-20 · 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{EPM22PVJKFPPBIJMUSQ4ORZ24C}

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 2026-05-18T01:04:49.808456Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

23d9ad3ea9515ef0a12ca4a1c7473ae0891eef586bd9a78c6a25e13e7dbbc4c8

Aliases

arxiv: 1605.06521 · arxiv_version: 1605.06521v2 · doi: 10.48550/arxiv.1605.06521 · pith_short_12: EPM22PVJKFPP · pith_short_16: EPM22PVJKFPPBIJM · pith_short_8: EPM22PVJ
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/EPM22PVJKFPPBIJMUSQ4ORZ24C \
  | 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: 23d9ad3ea9515ef0a12ca4a1c7473ae0891eef586bd9a78c6a25e13e7dbbc4c8
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "26bdac1912837363b94ea42bcd7f98ce3a68bbf2444742c37dbbe3cebf5d6c1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-05-20T20:08:30Z",
    "title_canon_sha256": "06ebce3a6cc812f649a4b4eab3c513e47d220b126af955aaa0d5cc0d2f773d9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06521",
    "kind": "arxiv",
    "version": 2
  }
}