Pith Number

pith:MQA6CRMV

pith:2026:MQA6CRMVORULYW2WCMZYVMK56M

not attested not anchored not stored refs pending

Strategy-proof Market Segmentation against Price Discrimination

Sanxi Li, Yang Yu, Yi Liu, Zhonghong Kuang

In every strategy-proof segmentation, a monopolist's profit equals the uniform monopoly level while consumer surplus ranges from that level up to the buyer-optimal outcome.

arxiv:2603.20609 v2 · 2026-03-21 · econ.TH

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\usepackage{pith}
\pithnumber{MQA6CRMVORULYW2WCMZYVMK56M}

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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.

Claims

C1strongest claim

in every strategy-proof segmentation, producer surplus is pinned at the uniform monopoly profit, consumer surplus ranges from the uniform monopoly level to the buyer-optimal level, and every consumer is weakly better off

C2weakest assumption

Consumers choose segments before the monopolist observes them and sets prices, with strategy-proofness defined as no consumer with positive measure can profitably deviate

C3one line summary

Strategy-proof segmentations pin producer surplus at the uniform monopoly profit while allowing consumer surplus to range continuously from the uniform monopoly level to the buyer-optimal level, with every consumer weakly better off.

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-18T03:09:22.620065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6401e145957468bc5b5613338ab15df32257e2b738c89b7b8c8970434a736c18

Aliases

arxiv: 2603.20609 · arxiv_version: 2603.20609v2 · doi: 10.48550/arxiv.2603.20609 · pith_short_12: MQA6CRMVORUL · pith_short_16: MQA6CRMVORULYW2W · pith_short_8: MQA6CRMV

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/MQA6CRMVORULYW2WCMZYVMK56M \
  | 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: 6401e145957468bc5b5613338ab15df32257e2b738c89b7b8c8970434a736c18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2789228454c50169c6a93fb5e8d04c8adb3478d1f44976e8a55d391a01a7ab7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2026-03-21T02:51:36Z",
    "title_canon_sha256": "e5d0f080fecc1e56ad8bd32bae77840d1efa7388733e64a58ed152dec399e606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.20609",
    "kind": "arxiv",
    "version": 2
  }
}