Pith Number

pith:MC6BWKXK

pith:2026:MC6BWKXK4FXWK7PSIU2LLDDTJ2

not attested not anchored not stored refs pending

When One Good Is Not Enough: EF1 and Pareto Optimality Are Not Compatible for Submodular Valuations

Mashbat Suzuki, Simon Mackenzie

arxiv:2607.17811 v1 · 2026-07-20 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MC6BWKXK4FXWK7PSIU2LLDDTJ2}

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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

Best-of-Both-Worlds Fairness and Pareto Optimality

Receipt and verification

First computed	2026-07-21T02:22:01.413360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60bc1b2aeae16f657df24534b58c734eabf9810081ad6fd04e12c44f71a19a34

Aliases

arxiv: 2607.17811 · arxiv_version: 2607.17811v1 · doi: 10.48550/arxiv.2607.17811 · pith_short_12: MC6BWKXK4FXW · pith_short_16: MC6BWKXK4FXWK7PS · pith_short_8: MC6BWKXK

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/MC6BWKXK4FXWK7PSIU2LLDDTJ2 \
  | 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: 60bc1b2aeae16f657df24534b58c734eabf9810081ad6fd04e12c44f71a19a34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ea93442258b84810562e0503ca3b7e84901cb72bbff7772015fb712b829369e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-07-20T10:57:38Z",
    "title_canon_sha256": "cfaa6dcf3e3517a9da47fc92260d57eb2266b010fc54fb8811d77bc0eb076867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17811",
    "kind": "arxiv",
    "version": 1
  }
}