{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:ON4WLXKOEE5P6TDS5AMLVRUJDJ","short_pith_number":"pith:ON4WLXKO","canonical_record":{"source":{"id":"1902.09646","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-25T22:40:12Z","cross_cats_sorted":[],"title_canon_sha256":"bb4b21bfe1ac87bb5dce1bfa05b4548b17d5f4265ee613f2112df17c02d332ea","abstract_canon_sha256":"ee33426c2594a4b67b8c1f0aea7e05aaed1120437c6352e452699a35bb0d93b0"},"schema_version":"1.0"},"canonical_sha256":"737965dd4e213aff4c72e818bac6891a77399c18267f47604eca0670b4a42991","source":{"kind":"arxiv","id":"1902.09646","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09646","created_at":"2026-07-05T03:18:37Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09646v4","created_at":"2026-07-05T03:18:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09646","created_at":"2026-07-05T03:18:37Z"},{"alias_kind":"pith_short_12","alias_value":"ON4WLXKOEE5P","created_at":"2026-07-05T03:18:37Z"},{"alias_kind":"pith_short_16","alias_value":"ON4WLXKOEE5P6TDS","created_at":"2026-07-05T03:18:37Z"},{"alias_kind":"pith_short_8","alias_value":"ON4WLXKO","created_at":"2026-07-05T03:18:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:ON4WLXKOEE5P6TDS5AMLVRUJDJ","target":"record","payload":{"canonical_record":{"source":{"id":"1902.09646","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-25T22:40:12Z","cross_cats_sorted":[],"title_canon_sha256":"bb4b21bfe1ac87bb5dce1bfa05b4548b17d5f4265ee613f2112df17c02d332ea","abstract_canon_sha256":"ee33426c2594a4b67b8c1f0aea7e05aaed1120437c6352e452699a35bb0d93b0"},"schema_version":"1.0"},"canonical_sha256":"737965dd4e213aff4c72e818bac6891a77399c18267f47604eca0670b4a42991","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:18:37.344391Z","signature_b64":"HRwzSGYrUHSztgCy1+Zykj29XQjy7OO3aUhmq4FKYVsr6hH7ROu9lqMhpbrUZu+SZkpxTfzGVhtv6Vc/8nfeAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"737965dd4e213aff4c72e818bac6891a77399c18267f47604eca0670b4a42991","last_reissued_at":"2026-07-05T03:18:37.343857Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:18:37.343857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.09646","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:18:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cM2VLhaRHbpLPMJ7vvtWcv0Or4rrEXUPuxMQ7gF/xtDhVOCoImTrEqptW+56FMWBgkizvZq1T8cwdP73iaQWAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T06:18:30.363281Z"},"content_sha256":"bc2f908b78373c8466028d1c74f9af00c3e540348be0b87b664238b782982554","schema_version":"1.0","event_id":"sha256:bc2f908b78373c8466028d1c74f9af00c3e540348be0b87b664238b782982554"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:ON4WLXKOEE5P6TDS5AMLVRUJDJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sales-Based Rebate Design","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Ali Jadbabaie, Amir Ajorlou","submitted_at":"2019-02-25T22:40:12Z","abstract_excerpt":"We propose a novel family of sales-based rebate mechanisms that induce network effects in sales of products that do not exhibit such externalities. The proposed rebate mechanisms enable the seller of a product with uncertain quality to adjust the magnitude and sign of externalities in consumers' payoffs by conditioning the amount of the rebate on the sales volume. Using the machinery of global games and variational optimization techniques, we analyze the revenue implications of such induced externalities in the form of rebates. We identify optimal profitable designs while unraveling the main d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09646","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1902.09646/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:18:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bkCZ6c6WELS6gATiXuvgIwXqnf/ZiM6H/JoNC92L9nvrbkg4jbRlm2Su/Nhwp2mb6bjw3/6mJVix0jHEIOBDCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T06:18:30.363668Z"},"content_sha256":"298c669012963e35ae135c69f98ae5ba2ed26dfd64c8522bc95330b850a884b7","schema_version":"1.0","event_id":"sha256:298c669012963e35ae135c69f98ae5ba2ed26dfd64c8522bc95330b850a884b7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ON4WLXKOEE5P6TDS5AMLVRUJDJ/bundle.json","state_url":"https://pith.science/pith/ON4WLXKOEE5P6TDS5AMLVRUJDJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ON4WLXKOEE5P6TDS5AMLVRUJDJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-07T06:18:30Z","links":{"resolver":"https://pith.science/pith/ON4WLXKOEE5P6TDS5AMLVRUJDJ","bundle":"https://pith.science/pith/ON4WLXKOEE5P6TDS5AMLVRUJDJ/bundle.json","state":"https://pith.science/pith/ON4WLXKOEE5P6TDS5AMLVRUJDJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ON4WLXKOEE5P6TDS5AMLVRUJDJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ON4WLXKOEE5P6TDS5AMLVRUJDJ","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":"ee33426c2594a4b67b8c1f0aea7e05aaed1120437c6352e452699a35bb0d93b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-25T22:40:12Z","title_canon_sha256":"bb4b21bfe1ac87bb5dce1bfa05b4548b17d5f4265ee613f2112df17c02d332ea"},"schema_version":"1.0","source":{"id":"1902.09646","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09646","created_at":"2026-07-05T03:18:37Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09646v4","created_at":"2026-07-05T03:18:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09646","created_at":"2026-07-05T03:18:37Z"},{"alias_kind":"pith_short_12","alias_value":"ON4WLXKOEE5P","created_at":"2026-07-05T03:18:37Z"},{"alias_kind":"pith_short_16","alias_value":"ON4WLXKOEE5P6TDS","created_at":"2026-07-05T03:18:37Z"},{"alias_kind":"pith_short_8","alias_value":"ON4WLXKO","created_at":"2026-07-05T03:18:37Z"}],"graph_snapshots":[{"event_id":"sha256:298c669012963e35ae135c69f98ae5ba2ed26dfd64c8522bc95330b850a884b7","target":"graph","created_at":"2026-07-05T03:18:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1902.09646/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a novel family of sales-based rebate mechanisms that induce network effects in sales of products that do not exhibit such externalities. The proposed rebate mechanisms enable the seller of a product with uncertain quality to adjust the magnitude and sign of externalities in consumers' payoffs by conditioning the amount of the rebate on the sales volume. Using the machinery of global games and variational optimization techniques, we analyze the revenue implications of such induced externalities in the form of rebates. We identify optimal profitable designs while unraveling the main d","authors_text":"Ali Jadbabaie, Amir Ajorlou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-25T22:40:12Z","title":"Sales-Based Rebate Design"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09646","kind":"arxiv","version":4},"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:bc2f908b78373c8466028d1c74f9af00c3e540348be0b87b664238b782982554","target":"record","created_at":"2026-07-05T03:18:37Z","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":"ee33426c2594a4b67b8c1f0aea7e05aaed1120437c6352e452699a35bb0d93b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-25T22:40:12Z","title_canon_sha256":"bb4b21bfe1ac87bb5dce1bfa05b4548b17d5f4265ee613f2112df17c02d332ea"},"schema_version":"1.0","source":{"id":"1902.09646","kind":"arxiv","version":4}},"canonical_sha256":"737965dd4e213aff4c72e818bac6891a77399c18267f47604eca0670b4a42991","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"737965dd4e213aff4c72e818bac6891a77399c18267f47604eca0670b4a42991","first_computed_at":"2026-07-05T03:18:37.343857Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:18:37.343857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HRwzSGYrUHSztgCy1+Zykj29XQjy7OO3aUhmq4FKYVsr6hH7ROu9lqMhpbrUZu+SZkpxTfzGVhtv6Vc/8nfeAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:18:37.344391Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.09646","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc2f908b78373c8466028d1c74f9af00c3e540348be0b87b664238b782982554","sha256:298c669012963e35ae135c69f98ae5ba2ed26dfd64c8522bc95330b850a884b7"],"state_sha256":"240a615a4319def35e09aa671beaa64318e1965bce771b32cd8322e7beec73a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A0v0DK4PoVXOt4tZZ/SZobAFQ8cxArX1Sb9PtvHfiKqSj77yC9cj6toQ3xHDVqQmsGzHi9kaBEYridYyNve8Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T06:18:30.365797Z","bundle_sha256":"bae126ee6059ebc7122d17bb097178222ef32f488424e6b9e69039c302ea281e"}}