Pith Number

pith:IHB7NZME

pith:2019:IHB7NZMEGZASG5JET6LGW33K3Q

not attested not anchored not stored refs pending

The Hadamard product in a crossed product C*-algebra

Erik Christensen

arxiv:1905.05630 v2 · 2019-05-14 · math.OA · math.FA · math.GR · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IHB7NZMEGZASG5JET6LGW33K3Q}

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	2026-05-17T23:43:32.636727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41c3f6e58436412375249f966b6f6adc29671929daa2e8ec701f7371e38d1cfd

Aliases

arxiv: 1905.05630 · arxiv_version: 1905.05630v2 · doi: 10.48550/arxiv.1905.05630 · pith_short_12: IHB7NZMEGZAS · pith_short_16: IHB7NZMEGZASG5JE · pith_short_8: IHB7NZME

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/IHB7NZMEGZASG5JET6LGW33K3Q \
  | 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: 41c3f6e58436412375249f966b6f6adc29671929daa2e8ec701f7371e38d1cfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba85f64f10829422f88921aacda6bc296d4359d124346e39445b55c25c65cc7",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-05-14T14:20:59Z",
    "title_canon_sha256": "cbeb2d6ededaa1c4dd9f2ed22b3956f5b83d3b35fb1507fb9ac56be2bc1898a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05630",
    "kind": "arxiv",
    "version": 2
  }
}