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Pith Number

pith:M54W74NX

pith:2023:M54W74NXBF6HYLSNAEVPORU6JS
not attested not anchored not stored refs pending

From sparse to dense functional data in high dimensions: Revisiting phase transitions from a non-asymptotic perspective

Dong Li, Shaojun Guo, Xinghao Qiao, Yizhu Wang

arxiv:2306.00476 v4 · 2023-06-01 · math.ST · stat.TH

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\usepackage{pith}
\pithnumber{M54W74NXBF6HYLSNAEVPORU6JS}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T10:05:06.808113Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

67796ff1b7097c7c2e4d012af7469e4cbaf73f15935a9f3dcd7534cb9ce097f2

Aliases

arxiv: 2306.00476 · arxiv_version: 2306.00476v4 · doi: 10.48550/arxiv.2306.00476 · pith_short_12: M54W74NXBF6H · pith_short_16: M54W74NXBF6HYLSN · pith_short_8: M54W74NX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/M54W74NXBF6HYLSNAEVPORU6JS \
  | 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: 67796ff1b7097c7c2e4d012af7469e4cbaf73f15935a9f3dcd7534cb9ce097f2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e6573fa8b68926ce0a21728866fff578d05c194b96155c965665ce2b40a165ee",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-06-01T09:26:05Z",
    "title_canon_sha256": "1f2a412ff7d3109a72c833bb5d9b7a38df8f97bd25e549c117ac9f1e0647d0df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.00476",
    "kind": "arxiv",
    "version": 4
  }
}