{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:J4FY6SEYBKJHPXEN7TJPQYPDAO","short_pith_number":"pith:J4FY6SEY","canonical_record":{"source":{"id":"1511.08409","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-11-26T15:08:42Z","cross_cats_sorted":["q-fin.TR"],"title_canon_sha256":"78fa2ccd7ddb2be54cac1d6d40d1e76743c5bc98c79bf27775e7df766381f004","abstract_canon_sha256":"6f4668ba0e151d28ac1e2673df032fc96dfe6823b9f176324bb7268c0b4bae84"},"schema_version":"1.0"},"canonical_sha256":"4f0b8f48980a9277dc8dfcd2f861e3039650d2af52ac8543660e0cdc0f9486d5","source":{"kind":"arxiv","id":"1511.08409","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.08409","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"1511.08409v2","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.08409","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"J4FY6SEYBKJH","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"J4FY6SEYBKJHPXEN","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"J4FY6SEY","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:J4FY6SEYBKJHPXEN7TJPQYPDAO","target":"record","payload":{"canonical_record":{"source":{"id":"1511.08409","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-11-26T15:08:42Z","cross_cats_sorted":["q-fin.TR"],"title_canon_sha256":"78fa2ccd7ddb2be54cac1d6d40d1e76743c5bc98c79bf27775e7df766381f004","abstract_canon_sha256":"6f4668ba0e151d28ac1e2673df032fc96dfe6823b9f176324bb7268c0b4bae84"},"schema_version":"1.0"},"canonical_sha256":"4f0b8f48980a9277dc8dfcd2f861e3039650d2af52ac8543660e0cdc0f9486d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:19.874222Z","signature_b64":"a+suGZYX9C1x0lldv9IBlFEKvGUvqJ6wJ7UIHsQEaMv1CalAQ+R+qkd0jswe00gcUCx+1GCJ7UqPk5pdjqgpDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f0b8f48980a9277dc8dfcd2f861e3039650d2af52ac8543660e0cdc0f9486d5","last_reissued_at":"2026-05-18T01:12:19.873889Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:19.873889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.08409","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j4nZ1I3F1p5EpSeCgDKR6pW+CVFTXjTs5oSp6smO11KgYvyZIZ03XKWKpaqlhsSYHzNZ0NW0d9fKMgeI3e82DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:59:41.757616Z"},"content_sha256":"552f559c970a472fa042c4a2a2cdf65974d4cbc6fca05d35848bbe2706c1281f","schema_version":"1.0","event_id":"sha256:552f559c970a472fa042c4a2a2cdf65974d4cbc6fca05d35848bbe2706c1281f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:J4FY6SEYBKJHPXEN7TJPQYPDAO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Real-Time Bidding Strategies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.TR"],"primary_cat":"math.OC","authors_text":"Jean-Michel Lasry, Joaquin Fernandez-Tapia, Olivier Gu\\'eant","submitted_at":"2015-11-26T15:08:42Z","abstract_excerpt":"The ad-trading desks of media-buying agencies are increasingly relying on complex algorithms for purchasing advertising inventory. In particular, Real-Time Bidding (RTB) algorithms respond to many auctions -- usually Vickrey auctions -- throughout the day for buying ad-inventory with the aim of maximizing one or several key performance indicators (KPI). The optimization problems faced by companies building bidding strategies are new and interesting for the community of applied mathematicians. In this article, we introduce a stochastic optimal control model that addresses the question of the op"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.08409","kind":"arxiv","version":2},"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":"2026-05-18T01:12:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e5sSFT+yBfBinvcLnk+4jUdBFda5tjlhVg9TzD2M8QlBfh+T3YE/yN/Z6SuVKz2ukU3YMBozoAAkC3A7PPJIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:59:41.757959Z"},"content_sha256":"a6efc554a3960931ae6641deb080dc92175338635899a40d750097b7e89be49e","schema_version":"1.0","event_id":"sha256:a6efc554a3960931ae6641deb080dc92175338635899a40d750097b7e89be49e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J4FY6SEYBKJHPXEN7TJPQYPDAO/bundle.json","state_url":"https://pith.science/pith/J4FY6SEYBKJHPXEN7TJPQYPDAO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J4FY6SEYBKJHPXEN7TJPQYPDAO/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":"2026-06-24T22:59:41Z","links":{"resolver":"https://pith.science/pith/J4FY6SEYBKJHPXEN7TJPQYPDAO","bundle":"https://pith.science/pith/J4FY6SEYBKJHPXEN7TJPQYPDAO/bundle.json","state":"https://pith.science/pith/J4FY6SEYBKJHPXEN7TJPQYPDAO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J4FY6SEYBKJHPXEN7TJPQYPDAO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:J4FY6SEYBKJHPXEN7TJPQYPDAO","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":"6f4668ba0e151d28ac1e2673df032fc96dfe6823b9f176324bb7268c0b4bae84","cross_cats_sorted":["q-fin.TR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-11-26T15:08:42Z","title_canon_sha256":"78fa2ccd7ddb2be54cac1d6d40d1e76743c5bc98c79bf27775e7df766381f004"},"schema_version":"1.0","source":{"id":"1511.08409","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.08409","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"1511.08409v2","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.08409","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"J4FY6SEYBKJH","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"J4FY6SEYBKJHPXEN","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"J4FY6SEY","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:a6efc554a3960931ae6641deb080dc92175338635899a40d750097b7e89be49e","target":"graph","created_at":"2026-05-18T01:12:19Z","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":"The ad-trading desks of media-buying agencies are increasingly relying on complex algorithms for purchasing advertising inventory. In particular, Real-Time Bidding (RTB) algorithms respond to many auctions -- usually Vickrey auctions -- throughout the day for buying ad-inventory with the aim of maximizing one or several key performance indicators (KPI). The optimization problems faced by companies building bidding strategies are new and interesting for the community of applied mathematicians. In this article, we introduce a stochastic optimal control model that addresses the question of the op","authors_text":"Jean-Michel Lasry, Joaquin Fernandez-Tapia, Olivier Gu\\'eant","cross_cats":["q-fin.TR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-11-26T15:08:42Z","title":"Optimal Real-Time Bidding Strategies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.08409","kind":"arxiv","version":2},"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":"sha256:552f559c970a472fa042c4a2a2cdf65974d4cbc6fca05d35848bbe2706c1281f","target":"record","created_at":"2026-05-18T01:12:19Z","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":"6f4668ba0e151d28ac1e2673df032fc96dfe6823b9f176324bb7268c0b4bae84","cross_cats_sorted":["q-fin.TR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-11-26T15:08:42Z","title_canon_sha256":"78fa2ccd7ddb2be54cac1d6d40d1e76743c5bc98c79bf27775e7df766381f004"},"schema_version":"1.0","source":{"id":"1511.08409","kind":"arxiv","version":2}},"canonical_sha256":"4f0b8f48980a9277dc8dfcd2f861e3039650d2af52ac8543660e0cdc0f9486d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f0b8f48980a9277dc8dfcd2f861e3039650d2af52ac8543660e0cdc0f9486d5","first_computed_at":"2026-05-18T01:12:19.873889Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:19.873889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a+suGZYX9C1x0lldv9IBlFEKvGUvqJ6wJ7UIHsQEaMv1CalAQ+R+qkd0jswe00gcUCx+1GCJ7UqPk5pdjqgpDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:19.874222Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.08409","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:552f559c970a472fa042c4a2a2cdf65974d4cbc6fca05d35848bbe2706c1281f","sha256:a6efc554a3960931ae6641deb080dc92175338635899a40d750097b7e89be49e"],"state_sha256":"0e17817eec33366c271a03d2fdd1dca3f21741e803083715a4f460bbfe229f37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x4DwpEb17TsNoDy1MLN+uywQHivlHNIJwtNH1oEdkHeiNHwTYd+t+I8Eiu0ArgcpvJ0TBlgLgwEvF+GNXTH5Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T22:59:41.759819Z","bundle_sha256":"4309d1e83650915a240922e604b7d7919e6fde31a2781aeb414b33a0426d6ec4"}}