Pith Number

pith:LFBX3PE7

pith:2026:LFBX3PE7XUBOLSJUZPZZTVJJBS

not attested not anchored not stored refs pending

Slack-Free Deep-Unfolded Combinatorial Optimization Solver for Inequality Constraints

Ryo Hagiwara, Satoshi Takabe, Shunta Arai

arxiv:2607.20042 v1 · 2026-07-22 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFBX3PE7XUBOLSJUZPZZTVJJBS}

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	2026-07-23T01:24:57.030826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59437dbc9fbd02e5c934cbf399d5290cad0272a8a4acb8198c77256796eef25a

Aliases

arxiv: 2607.20042 · arxiv_version: 2607.20042v1 · doi: 10.48550/arxiv.2607.20042 · pith_short_12: LFBX3PE7XUBO · pith_short_16: LFBX3PE7XUBOLSJU · pith_short_8: LFBX3PE7

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/LFBX3PE7XUBOLSJUZPZZTVJJBS \
  | 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: 59437dbc9fbd02e5c934cbf399d5290cad0272a8a4acb8198c77256796eef25a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe0b6fb8261c2f988e6964ae2da6b71cbdb7daedcb2f6a3362cade050606cf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-22T11:37:32Z",
    "title_canon_sha256": "e69ef5e166630dcfc369fb75d8361696e0a3713dc08866e15116889a4b4c2dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20042",
    "kind": "arxiv",
    "version": 1
  }
}