Pith. sign in
Pith Number

pith:AIEHD2RY

pith:2021:AIEHD2RYZLXO3LCIL7SO64ZC62
not attested not anchored not stored refs pending

Hilbert $C^*$-module independence

J. Hamhalter, M. S. Moslehian, R. Eskandari, V. M. Manuilov

arxiv:2104.09481 v1 · 2021-04-19 · math.OA · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AIEHD2RYZLXO3LCIL7SO64ZC62}

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 2026-07-05T02:33:13.738196Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

020871ea38caeeedac485fe4ef7322f690d8c30f0f984d5386b6661f8c1158a4

Aliases

arxiv: 2104.09481 · arxiv_version: 2104.09481v1 · doi: 10.48550/arxiv.2104.09481 · pith_short_12: AIEHD2RYZLXO · pith_short_16: AIEHD2RYZLXO3LCI · pith_short_8: AIEHD2RY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AIEHD2RYZLXO3LCIL7SO64ZC62 \
  | 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: 020871ea38caeeedac485fe4ef7322f690d8c30f0f984d5386b6661f8c1158a4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "af7356a97613ef890f4716dad2151b7cf89d6cd5abe19b0186c0a585e31e41ae",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2021-04-19T17:41:03Z",
    "title_canon_sha256": "6bb6960315593f4da07db78bbb4d4f9e1048564e4aa261c23a3be2abcb2bf0e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.09481",
    "kind": "arxiv",
    "version": 1
  }
}