Pith Number

pith:LUR7PDLZ

pith:2025:LUR7PDLZTDH5NO4RY2QPJ777OE

not attested not anchored not stored refs pending

Disjunctive Benders Decomposition

Geunyeong Byeon, Inho Sin, Kaiwen Fang

arxiv:2506.03561 v3 · 2025-06-04 · 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{LUR7PDLZTDH5NO4RY2QPJ777OE}

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	2026-05-20T00:02:05.233897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d23f78d7998cfd6bb91c6a0f4ffff7128547b92bd808ca8b10c93f575d55bab

Aliases

arxiv: 2506.03561 · arxiv_version: 2506.03561v3 · doi: 10.48550/arxiv.2506.03561 · pith_short_12: LUR7PDLZTDH5 · pith_short_16: LUR7PDLZTDH5NO4R · pith_short_8: LUR7PDLZ

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/LUR7PDLZTDH5NO4RY2QPJ777OE \
  | 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: 5d23f78d7998cfd6bb91c6a0f4ffff7128547b92bd808ca8b10c93f575d55bab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "118ba7f6dec80d4a608d7a9ff7c246f13da40a73201de9834b94386cf03acb3a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-04T04:26:08Z",
    "title_canon_sha256": "8d38af610b1bb93ead480394d0213af9d46304dc1ec3e7f9045cf23e06104c55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03561",
    "kind": "arxiv",
    "version": 3
  }
}