Pith. sign in
Pith Number

pith:ROXQZGKG

pith:2020:ROXQZGKG5JQRA4B7PUNGN2LJ5U
not attested not anchored not stored refs pending

Surjective homomorphisms from algebras of operators on long sequence spaces are automatically injective

Bence Horv\'ath, Tomasz Kania

arxiv:2007.14112 v2 · 2020-07-28 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ROXQZGKG5JQRA4B7PUNGN2LJ5U}

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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 2026-07-05T03:39:32.681728Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8baf0c9946ea6110703f7d1a66e969ed26eb2ebd90c4ce52b0f6bdc93af73077

Aliases

arxiv: 2007.14112 · arxiv_version: 2007.14112v2 · doi: 10.48550/arxiv.2007.14112 · pith_short_12: ROXQZGKG5JQR · pith_short_16: ROXQZGKG5JQRA4B7 · pith_short_8: ROXQZGKG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ROXQZGKG5JQRA4B7PUNGN2LJ5U \
  | 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: 8baf0c9946ea6110703f7d1a66e969ed26eb2ebd90c4ce52b0f6bdc93af73077
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2ac6d062a8f27dbfea487a84f4f92c3cd226c18309e62f849c34c9d02fface60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-07-28T10:34:55Z",
    "title_canon_sha256": "6c37f8b99d260aad2f2e1eca43953cf46bb4b60c9ebd22c862f57d26a6e8f17c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.14112",
    "kind": "arxiv",
    "version": 2
  }
}