Pith Number

pith:5BJTYEZQ

pith:2024:5BJTYEZQLKI7U2HCZYVHMVGPOZ

not attested not anchored not stored refs pending

Improved Hardness Results for Min-Max Optimization with Coupled Constraints

Andrea Celli, Gabriele Farina, Martino Bernasconi, Matteo Castiglioni

arxiv:2411.03248 v3 · 2024-11-05 · cs.GT · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BJTYEZQLKI7U2HCZYVHMVGPOZ}

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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.

Cited by

1 paper in Pith

Min-Max Optimization Requires Exponentially Many Queries

Receipt and verification

First computed	2026-05-28T02:04:39.379689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8533c13305a91fa68e2ce2a7654cf7649b2dcf068ff10bcbefb72c38f10e3b0

Aliases

arxiv: 2411.03248 · arxiv_version: 2411.03248v3 · doi: 10.48550/arxiv.2411.03248 · pith_short_12: 5BJTYEZQLKI7 · pith_short_16: 5BJTYEZQLKI7U2HC · pith_short_8: 5BJTYEZQ

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/5BJTYEZQLKI7U2HCZYVHMVGPOZ \
  | 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: e8533c13305a91fa68e2ce2a7654cf7649b2dcf068ff10bcbefb72c38f10e3b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d637e4a85bc147e352ec0c458ba2be65b686c5d9795ee2b3d6fbba115c57f0",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2024-11-05T16:46:23Z",
    "title_canon_sha256": "f5d71c2a12e4ed707011d17a344e8017a4abd6b586cba9c3acbea48e63d7a0f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.03248",
    "kind": "arxiv",
    "version": 3
  }
}