{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QBIYDK5DKPMTZH54SM7FO4D5HD","short_pith_number":"pith:QBIYDK5D","canonical_record":{"source":{"id":"1607.07105","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-07-24T22:27:12Z","cross_cats_sorted":[],"title_canon_sha256":"6cdd55dfd51ce504e23672210a41fc37ecee27e313e0b9e092722885c8a54b80","abstract_canon_sha256":"948f61c8d4fcfe8439f4b3eef5f8310b22c4c03871a2d8f9c4a776452f06d9f8"},"schema_version":"1.0"},"canonical_sha256":"805181aba353d93c9fbc933e57707d38de831394607ea216c57943c97de6a198","source":{"kind":"arxiv","id":"1607.07105","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07105","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07105v3","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07105","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"QBIYDK5DKPMT","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QBIYDK5DKPMTZH54","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QBIYDK5D","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QBIYDK5DKPMTZH54SM7FO4D5HD","target":"record","payload":{"canonical_record":{"source":{"id":"1607.07105","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-07-24T22:27:12Z","cross_cats_sorted":[],"title_canon_sha256":"6cdd55dfd51ce504e23672210a41fc37ecee27e313e0b9e092722885c8a54b80","abstract_canon_sha256":"948f61c8d4fcfe8439f4b3eef5f8310b22c4c03871a2d8f9c4a776452f06d9f8"},"schema_version":"1.0"},"canonical_sha256":"805181aba353d93c9fbc933e57707d38de831394607ea216c57943c97de6a198","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:34.727643Z","signature_b64":"R84dqrQzxAXlYSH2UL9iXn6Hg7vNqbXGKbK7R0UbKlsyiq3MHnU4Pv5YImUxdrilcDYrkPwmNeNIS2ZfWi1zDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"805181aba353d93c9fbc933e57707d38de831394607ea216c57943c97de6a198","last_reissued_at":"2026-05-17T23:48:34.727107Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:34.727107Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.07105","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:48:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8pe5U+3qaiKcMimNJxwYaj0ffhWAARQtN07OBOb5GFdu3CUXmVx/F3cXsef+oNdKlGuHmvJ8TIlz5qFtd34qBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T17:05:27.598438Z"},"content_sha256":"e3c589ae2a03e91e279d9b8c996162b6a3670897159c816504ea5e380f81237e","schema_version":"1.0","event_id":"sha256:e3c589ae2a03e91e279d9b8c996162b6a3670897159c816504ea5e380f81237e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QBIYDK5DKPMTZH54SM7FO4D5HD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Revenue Gaps for Static and Dynamic Posted Pricing of Homogeneous Goods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Felix Fischer, Max Klimm, Paul D\\\"utting","submitted_at":"2016-07-24T22:27:12Z","abstract_excerpt":"We consider the problem of maximizing the expected revenue from selling $k$ homogeneous goods to $n$ unit-demand buyers who arrive sequentially with independent and identically distributed valuations. In this setting the optimal posted prices are dynamic in the sense that they depend on the remaining numbers of goods and buyers. We investigate how much revenue is lost when a single static price is used instead for all buyers and goods, and prove upper bounds on the ratio between the maximum revenue from dynamic prices and that from static prices. These bounds are tight for all values of $k$ an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07105","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-17T23:48:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZEof7Diun2tFsBZocQhwwZh8QJGuBu9+XF2E/e2JNHeis7okCgTvwmFbu2xhAsuYadCnqhK64NCAOm6DVXmhCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T17:05:27.598808Z"},"content_sha256":"0787a712e4c24d78d5327d9f09b0e8257df404c6aea275c477d1acd58dcb2244","schema_version":"1.0","event_id":"sha256:0787a712e4c24d78d5327d9f09b0e8257df404c6aea275c477d1acd58dcb2244"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QBIYDK5DKPMTZH54SM7FO4D5HD/bundle.json","state_url":"https://pith.science/pith/QBIYDK5DKPMTZH54SM7FO4D5HD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QBIYDK5DKPMTZH54SM7FO4D5HD/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":"2026-06-27T17:05:27Z","links":{"resolver":"https://pith.science/pith/QBIYDK5DKPMTZH54SM7FO4D5HD","bundle":"https://pith.science/pith/QBIYDK5DKPMTZH54SM7FO4D5HD/bundle.json","state":"https://pith.science/pith/QBIYDK5DKPMTZH54SM7FO4D5HD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QBIYDK5DKPMTZH54SM7FO4D5HD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QBIYDK5DKPMTZH54SM7FO4D5HD","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":"948f61c8d4fcfe8439f4b3eef5f8310b22c4c03871a2d8f9c4a776452f06d9f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-07-24T22:27:12Z","title_canon_sha256":"6cdd55dfd51ce504e23672210a41fc37ecee27e313e0b9e092722885c8a54b80"},"schema_version":"1.0","source":{"id":"1607.07105","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07105","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07105v3","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07105","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"QBIYDK5DKPMT","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QBIYDK5DKPMTZH54","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QBIYDK5D","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:0787a712e4c24d78d5327d9f09b0e8257df404c6aea275c477d1acd58dcb2244","target":"graph","created_at":"2026-05-17T23:48:34Z","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 consider the problem of maximizing the expected revenue from selling $k$ homogeneous goods to $n$ unit-demand buyers who arrive sequentially with independent and identically distributed valuations. In this setting the optimal posted prices are dynamic in the sense that they depend on the remaining numbers of goods and buyers. We investigate how much revenue is lost when a single static price is used instead for all buyers and goods, and prove upper bounds on the ratio between the maximum revenue from dynamic prices and that from static prices. These bounds are tight for all values of $k$ an","authors_text":"Felix Fischer, Max Klimm, Paul D\\\"utting","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-07-24T22:27:12Z","title":"Revenue Gaps for Static and Dynamic Posted Pricing of Homogeneous Goods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07105","kind":"arxiv","version":3},"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:e3c589ae2a03e91e279d9b8c996162b6a3670897159c816504ea5e380f81237e","target":"record","created_at":"2026-05-17T23:48:34Z","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":"948f61c8d4fcfe8439f4b3eef5f8310b22c4c03871a2d8f9c4a776452f06d9f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-07-24T22:27:12Z","title_canon_sha256":"6cdd55dfd51ce504e23672210a41fc37ecee27e313e0b9e092722885c8a54b80"},"schema_version":"1.0","source":{"id":"1607.07105","kind":"arxiv","version":3}},"canonical_sha256":"805181aba353d93c9fbc933e57707d38de831394607ea216c57943c97de6a198","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"805181aba353d93c9fbc933e57707d38de831394607ea216c57943c97de6a198","first_computed_at":"2026-05-17T23:48:34.727107Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:34.727107Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R84dqrQzxAXlYSH2UL9iXn6Hg7vNqbXGKbK7R0UbKlsyiq3MHnU4Pv5YImUxdrilcDYrkPwmNeNIS2ZfWi1zDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:34.727643Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.07105","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3c589ae2a03e91e279d9b8c996162b6a3670897159c816504ea5e380f81237e","sha256:0787a712e4c24d78d5327d9f09b0e8257df404c6aea275c477d1acd58dcb2244"],"state_sha256":"849ff551ee659ee44b9baf424f34dc12763075bafd84610fffca09da8568cce5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yjl6ZbxnFx5mRnHG4SpTDDlxtAcdwQx/e2A856W1MQ2etniQhWsm5kOVXg7uinNScmpnNtPN6rGlDA8EeS+tCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T17:05:27.600662Z","bundle_sha256":"9ea82b72c262d8fae9b425f68aa350a6b89cf0b88da97885473eb98cff703943"}}