Pith Number

pith:HS5KQUBU

pith:2019:HS5KQUBU7D3ZT5RWFELX7C3HWX

not attested not anchored not stored refs pending

Controlled Loosening-up (CLuP) -- achieving exact MIMO ML in polynomial time

Mihailo Stojnic

arxiv:1909.01175 v1 · 2019-09-03 · cs.IT · math.IT · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HS5KQUBU7D3ZT5RWFELX7C3HWX}

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

1 paper in Pith

CLuP practically achieves $\sim 1.77$ positive and $\sim 0.33$ negative Hopfield model ground state free energy

Receipt and verification

First computed	2026-07-05T00:01:16.623873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cbaa85034f8f799f63629177f8b67b5e761a0874caa18946f9b237139e82974

Aliases

arxiv: 1909.01175 · arxiv_version: 1909.01175v1 · doi: 10.48550/arxiv.1909.01175 · pith_short_12: HS5KQUBU7D3Z · pith_short_16: HS5KQUBU7D3ZT5RW · pith_short_8: HS5KQUBU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HS5KQUBU7D3ZT5RWFELX7C3HWX \
  | 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: 3cbaa85034f8f799f63629177f8b67b5e761a0874caa18946f9b237139e82974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7440a2fe84233f78b85c9f90f680c7822ec6345e5ea0b1a8deeee96bf17d10d4",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-09-03T13:43:42Z",
    "title_canon_sha256": "f5baea937292bcc95cb53b86236bfd648e4d8d7feeb83208fec1c7fd8a50fc04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01175",
    "kind": "arxiv",
    "version": 1
  }
}