Pith Number

pith:LTDODLJQ

pith:2017:LTDODLJQYTWAE2SUUTGQLBHHPQ

not attested not anchored not stored refs pending

Logical and Inequality Implications for Reducing the Size and Complexity of Quadratic Unconstrained Binary Optimization Problems

Fred Glover, Gary Kochenberger, Mark Lewis

arxiv:1705.09545 v1 · 2017-05-26 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTDODLJQYTWAE2SUUTGQLBHHPQ}

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	2026-05-18T00:43:38.399020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc6e1ad30c4ec026a54a4cd0584e77c38e710734ac04bcb257c4aa1314acb20

Aliases

arxiv: 1705.09545 · arxiv_version: 1705.09545v1 · doi: 10.48550/arxiv.1705.09545 · pith_short_12: LTDODLJQYTWA · pith_short_16: LTDODLJQYTWAE2SU · pith_short_8: LTDODLJQ

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/LTDODLJQYTWAE2SUUTGQLBHHPQ \
  | 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: 5cc6e1ad30c4ec026a54a4cd0584e77c38e710734ac04bcb257c4aa1314acb20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e918338679d97b99caa7f97b395bcedd1e4a9eff977783404b43b3cc57d95ea8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2017-05-26T11:59:49Z",
    "title_canon_sha256": "e3d457795e6d89eb06b58331ce9bba07c0ff4fda0755afd42d835e934c2d7fb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09545",
    "kind": "arxiv",
    "version": 1
  }
}