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Pith Number

pith:DFJFP2QK

pith:2013:DFJFP2QKNAYAMRQDQQCMXQIQ7I
not attested not anchored not stored refs pending

A New Approach of Deriving Bounds between Entropy and Error from Joint Distribution: Case Study for Binary Classifications

Bao-Gang Hu, Hong-Jie Xing

arxiv:1303.0943 v1 · 2013-03-05 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DFJFP2QKNAYAMRQDQQCMXQIQ7I}

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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 2026-05-18T03:31:53.387179Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

195257ea0a68300646038404cbc110fa36cc4f17a5bac172124b11bf7ab3cb1e

Aliases

arxiv: 1303.0943 · arxiv_version: 1303.0943v1 · doi: 10.48550/arxiv.1303.0943 · pith_short_12: DFJFP2QKNAYA · pith_short_16: DFJFP2QKNAYAMRQD · pith_short_8: DFJFP2QK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DFJFP2QKNAYAMRQDQQCMXQIQ7I \
  | 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: 195257ea0a68300646038404cbc110fa36cc4f17a5bac172124b11bf7ab3cb1e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "eb1da698cf43744355a1cba94af8e7a19d05a1d2e05a8024070d86aeeeec6246",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-05T06:45:35Z",
    "title_canon_sha256": "4317900448fd434a0f913ef2beb75d9e8669ba03b82163499b6bbf56961ede7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0943",
    "kind": "arxiv",
    "version": 1
  }
}