Pith Number

pith:BNWFL2PY

pith:2019:BNWFL2PY7ONIR5EGGWFI4RX4EH

not attested not anchored not stored refs pending

Complexity analysis of the Controlled Loosening-up (CLuP) algorithm

Mihailo Stojnic

arxiv:1909.01190 v2 · 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{BNWFL2PY7ONIR5EGGWFI4RX4EH}

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.

Receipt and verification

First computed	2026-07-05T00:02:15.327642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b6c55e9f8fb9a88f486358a8e46fc21d24d32dd3629c292d8d0fc1195dad72b

Aliases

arxiv: 1909.01190 · arxiv_version: 1909.01190v2 · doi: 10.48550/arxiv.1909.01190 · pith_short_12: BNWFL2PY7ONI · pith_short_16: BNWFL2PY7ONIR5EG · pith_short_8: BNWFL2PY

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/BNWFL2PY7ONIR5EGGWFI4RX4EH \
  | 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: 0b6c55e9f8fb9a88f486358a8e46fc21d24d32dd3629c292d8d0fc1195dad72b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c2f707e659aacd3cc348fece8b7738a6d789fe20b546bd4360b2a629e0bc83",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-09-03T13:59:06Z",
    "title_canon_sha256": "3534f8469b6bcaaa01785198e9a9237d7d278a0421b89b88ee205d28dfff2f9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01190",
    "kind": "arxiv",
    "version": 2
  }
}