{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZT3IGFZSUYNW4MLLHLIWNITBHB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"eda89d81dd88a3720bff6c843164428117a7f48271c1f241b9e0a83daea31a48","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2014-12-01T16:21:43Z","title_canon_sha256":"ee52d94ccd26132432fd1c4e99078372521d9f913cc806204371e6659ef47644"},"schema_version":"1.0","source":{"id":"1412.0529","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0529","created_at":"2026-05-18T02:32:23Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0529v1","created_at":"2026-05-18T02:32:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0529","created_at":"2026-05-18T02:32:23Z"},{"alias_kind":"pith_short_12","alias_value":"ZT3IGFZSUYNW","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZT3IGFZSUYNW4MLL","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZT3IGFZS","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:933c862d117bf0736bcba08f7ddf1ca11bbb7a5d76b714121d711d9426314a4e","target":"graph","created_at":"2026-05-18T02:32:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We show how group discounts can be offered without forcing buyers to surrender their anonymity, as long as buyers can use their own computing devices (e.g. smartphone, tablet or computer) to perform a purchase. Specifically, we present a protocol for privacy-preserving group discounts. The protocol allows a group of buyers to prove how many they are without disclosing their identities. Coupled with an anonymous payment system, this makes group discounts compatible with buyer privacy (that is, buyer anonymity).","authors_text":"Alberto Blanco-Justicia, Josep Domingo-Ferrer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2014-12-01T16:21:43Z","title":"Group Discounts Compatible with Buyer Privacy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0529","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c27f5e529ac034aa2c9f147c0f9a7d2d6198ef7cdb3e56b929f420848cdb7b73","target":"record","created_at":"2026-05-18T02:32:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"eda89d81dd88a3720bff6c843164428117a7f48271c1f241b9e0a83daea31a48","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2014-12-01T16:21:43Z","title_canon_sha256":"ee52d94ccd26132432fd1c4e99078372521d9f913cc806204371e6659ef47644"},"schema_version":"1.0","source":{"id":"1412.0529","kind":"arxiv","version":1}},"canonical_sha256":"ccf6831732a61b6e316b3ad166a26138637b3cbb327ee46e8c5a972981758788","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ccf6831732a61b6e316b3ad166a26138637b3cbb327ee46e8c5a972981758788","first_computed_at":"2026-05-18T02:32:23.181946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:23.181946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eRGF+3O6/j0QxZIXaZVaCypQuqFEL17nZLyU0apnL33JvayEgHxGRu419D9WPNuz4G7FcTvV2lgTsmurno2DCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:23.182380Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0529","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c27f5e529ac034aa2c9f147c0f9a7d2d6198ef7cdb3e56b929f420848cdb7b73","sha256:933c862d117bf0736bcba08f7ddf1ca11bbb7a5d76b714121d711d9426314a4e"],"state_sha256":"3b5934e540a7f2f853085a2e23c127c491f1b5594b00f8c7128d976d288b0c69"}