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Pith Number

pith:PCTYEQVH

pith:2015:PCTYEQVHGPQSYULEFCIXHSKBFU
not attested not anchored not stored refs pending

Near-Optimal Bounds for Binary Embeddings of Arbitrary Sets

Ben Recht, Samet Oymak

arxiv:1512.04433 v1 · 2015-12-14 · cs.LG · cs.DS · math.FA

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

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.

Cited by

3 papers in Pith

Receipt and verification
First computed 2026-05-18T01:24:22.261479Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

78a78242a733e12c5164289173c9412d36e31b4f784dc3597861e3d4ae245d97

Aliases

arxiv: 1512.04433 · arxiv_version: 1512.04433v1 · doi: 10.48550/arxiv.1512.04433 · pith_short_12: PCTYEQVHGPQS · pith_short_16: PCTYEQVHGPQSYULE · pith_short_8: PCTYEQVH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PCTYEQVHGPQSYULEFCIXHSKBFU \
  | 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: 78a78242a733e12c5164289173c9412d36e31b4f784dc3597861e3d4ae245d97
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b0ba00e41119279f1e6d907f999909633d2941edb37410aca4d505372a2da6b0",
    "cross_cats_sorted": [
      "cs.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-12-14T17:57:41Z",
    "title_canon_sha256": "242023bf76874051505682e6c6c566471b56765398c2484200688b75e48f3acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04433",
    "kind": "arxiv",
    "version": 1
  }
}