Pith Number

pith:CKS7CL6E

pith:2026:CKS7CL6EGPPL4XDQIR5XE7WS7Q

not attested not anchored not stored refs pending

Price of Coupling in Multilevel Linear Programming

Margarida Carvalho, Nagisa Sugishita

arxiv:2605.25100 v1 · 2026-05-24 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKS7CL6EGPPL4XDQIR5XE7WS7Q}

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	2026-05-26T02:04:17.894283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12a5f12fc433debe5c70447b727ed2fc26530df488e468732808e2c610343323

Aliases

arxiv: 2605.25100 · arxiv_version: 2605.25100v1 · doi: 10.48550/arxiv.2605.25100 · pith_short_12: CKS7CL6EGPPL · pith_short_16: CKS7CL6EGPPL4XDQ · pith_short_8: CKS7CL6E

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/CKS7CL6EGPPL4XDQIR5XE7WS7Q \
  | 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: 12a5f12fc433debe5c70447b727ed2fc26530df488e468732808e2c610343323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "847576d62cbd688b50d25cc50887e3ba57c5b963d7ba8e66f6ed79d8087a1a2a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-24T14:30:03Z",
    "title_canon_sha256": "bc0f8d768953df884c407b9bcc8f3343b87f765c1fa07ebabaf27981c73057ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25100",
    "kind": "arxiv",
    "version": 1
  }
}