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Pith Number

pith:PBRPFY26

pith:2018:PBRPFY26TV2H2UKGXJCFKLHLXJ
not attested not anchored not stored refs pending

Construction of k-g-fusion frames and their duals in Hilbert spaces

Asghar Rahimi, Reza Ahmadi, Vahid Sadri

arxiv:1806.03595 v1 · 2018-06-10 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PBRPFY26TV2H2UKGXJCFKLHLXJ}

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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 2026-05-18T00:13:42.830007Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7862f2e35e9d747d5146ba44552cebba7b180202ae52a3eee72a868692b8f5f6

Aliases

arxiv: 1806.03595 · arxiv_version: 1806.03595v1 · doi: 10.48550/arxiv.1806.03595 · pith_short_12: PBRPFY26TV2H · pith_short_16: PBRPFY26TV2H2UKG · pith_short_8: PBRPFY26
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PBRPFY26TV2H2UKGXJCFKLHLXJ \
  | 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: 7862f2e35e9d747d5146ba44552cebba7b180202ae52a3eee72a868692b8f5f6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a9eee8eb7be9ed66ea4af6a8725633b7915144a1b291a7972b74a7087fd928ad",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-06-10T07:21:14Z",
    "title_canon_sha256": "748f46d926356fca7f98caeda22ae8b7faa6f832ee9f7da66adf703311514b43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03595",
    "kind": "arxiv",
    "version": 1
  }
}