{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6QYML3E2BGAOKDBLDTJSB7A7TD","short_pith_number":"pith:6QYML3E2","canonical_record":{"source":{"id":"1504.03586","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-04-14T15:30:50Z","cross_cats_sorted":[],"title_canon_sha256":"324f2c6354579c4c0e233d6af5da1f99c4791bbf44d4fc1ebcddbb0eab70e227","abstract_canon_sha256":"62bbd464ba0c05540aa1999eeaebf4f8921e5652a84417b09f0c2243c3a4ca53"},"schema_version":"1.0"},"canonical_sha256":"f430c5ec9a0980e50c2b1cd320fc1f98f9667e79a522db40ffbad4f9740ab29e","source":{"kind":"arxiv","id":"1504.03586","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03586","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03586v2","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03586","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"pith_short_12","alias_value":"6QYML3E2BGAO","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6QYML3E2BGAOKDBL","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6QYML3E2","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6QYML3E2BGAOKDBLDTJSB7A7TD","target":"record","payload":{"canonical_record":{"source":{"id":"1504.03586","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-04-14T15:30:50Z","cross_cats_sorted":[],"title_canon_sha256":"324f2c6354579c4c0e233d6af5da1f99c4791bbf44d4fc1ebcddbb0eab70e227","abstract_canon_sha256":"62bbd464ba0c05540aa1999eeaebf4f8921e5652a84417b09f0c2243c3a4ca53"},"schema_version":"1.0"},"canonical_sha256":"f430c5ec9a0980e50c2b1cd320fc1f98f9667e79a522db40ffbad4f9740ab29e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:41.829247Z","signature_b64":"0vP1d/Uds2Nk9lz5jGxOPeyOkwjfiAnGOuBWvutHCnFhwVTR2g52rYo4Oe02b31wfLm5zEGwNUw6geweiddsBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f430c5ec9a0980e50c2b1cd320fc1f98f9667e79a522db40ffbad4f9740ab29e","last_reissued_at":"2026-05-18T00:40:41.828410Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:41.828410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.03586","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":"2026-05-18T00:40:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oUdsfpCO5VTB6bwwc3uTFpE1YbSo1peNwUV7IftSvbkRkHvMmxT5s1bosrXDRA1iiTXYcv3hOuS6ZJB/WsK9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T07:51:57.106295Z"},"content_sha256":"02d8c027f7c60d201b13a8b17e690b939ee0f45ef84bf730f2b6f505bb9bd981","schema_version":"1.0","event_id":"sha256:02d8c027f7c60d201b13a8b17e690b939ee0f45ef84bf730f2b6f505bb9bd981"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6QYML3E2BGAOKDBLDTJSB7A7TD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mechanism design for aggregating energy consumption and quality of service in speed scaling scheduling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Christoph D\\\"urr, {\\L}ukasz Je\\.z, \\'Oscar C. V\\'asquez","submitted_at":"2015-04-14T15:30:50Z","abstract_excerpt":"We consider a strategic game, where players submit jobs to a machine that executes all jobs in a way that minimizes energy while respecting the given deadlines. The energy consumption is then charged to the players in some way. Each player wants to minimize the sum of that charge and of their job's deadline multiplied by a priority weight. Two charging schemes are studied, the proportional cost share which does not always admit pure Nash equilibria, and the marginal cost share, which does always admit pure Nash equilibria, at the price of overcharging by a constant factor."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03586","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":"2026-05-18T00:40:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"852J363EVOVzqgYuKmgRPD9k/dERcaBGKZlXI5rDvI3D+1nE4X22awIBBDoF/Q26pud1CC0r9rkv4tu60d/uDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T07:51:57.106676Z"},"content_sha256":"8c90dabb21f05fe470c797f4dc5b13cc36daaf2ee33fb9437bc306ad6b5c9549","schema_version":"1.0","event_id":"sha256:8c90dabb21f05fe470c797f4dc5b13cc36daaf2ee33fb9437bc306ad6b5c9549"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6QYML3E2BGAOKDBLDTJSB7A7TD/bundle.json","state_url":"https://pith.science/pith/6QYML3E2BGAOKDBLDTJSB7A7TD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6QYML3E2BGAOKDBLDTJSB7A7TD/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":"2026-06-24T07:51:57Z","links":{"resolver":"https://pith.science/pith/6QYML3E2BGAOKDBLDTJSB7A7TD","bundle":"https://pith.science/pith/6QYML3E2BGAOKDBLDTJSB7A7TD/bundle.json","state":"https://pith.science/pith/6QYML3E2BGAOKDBLDTJSB7A7TD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6QYML3E2BGAOKDBLDTJSB7A7TD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6QYML3E2BGAOKDBLDTJSB7A7TD","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":"62bbd464ba0c05540aa1999eeaebf4f8921e5652a84417b09f0c2243c3a4ca53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-04-14T15:30:50Z","title_canon_sha256":"324f2c6354579c4c0e233d6af5da1f99c4791bbf44d4fc1ebcddbb0eab70e227"},"schema_version":"1.0","source":{"id":"1504.03586","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03586","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03586v2","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03586","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"pith_short_12","alias_value":"6QYML3E2BGAO","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6QYML3E2BGAOKDBL","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6QYML3E2","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:8c90dabb21f05fe470c797f4dc5b13cc36daaf2ee33fb9437bc306ad6b5c9549","target":"graph","created_at":"2026-05-18T00:40:41Z","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 a strategic game, where players submit jobs to a machine that executes all jobs in a way that minimizes energy while respecting the given deadlines. The energy consumption is then charged to the players in some way. Each player wants to minimize the sum of that charge and of their job's deadline multiplied by a priority weight. Two charging schemes are studied, the proportional cost share which does not always admit pure Nash equilibria, and the marginal cost share, which does always admit pure Nash equilibria, at the price of overcharging by a constant factor.","authors_text":"Christoph D\\\"urr, {\\L}ukasz Je\\.z, \\'Oscar C. V\\'asquez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-04-14T15:30:50Z","title":"Mechanism design for aggregating energy consumption and quality of service in speed scaling scheduling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03586","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":"sha256:02d8c027f7c60d201b13a8b17e690b939ee0f45ef84bf730f2b6f505bb9bd981","target":"record","created_at":"2026-05-18T00:40:41Z","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":"62bbd464ba0c05540aa1999eeaebf4f8921e5652a84417b09f0c2243c3a4ca53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-04-14T15:30:50Z","title_canon_sha256":"324f2c6354579c4c0e233d6af5da1f99c4791bbf44d4fc1ebcddbb0eab70e227"},"schema_version":"1.0","source":{"id":"1504.03586","kind":"arxiv","version":2}},"canonical_sha256":"f430c5ec9a0980e50c2b1cd320fc1f98f9667e79a522db40ffbad4f9740ab29e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f430c5ec9a0980e50c2b1cd320fc1f98f9667e79a522db40ffbad4f9740ab29e","first_computed_at":"2026-05-18T00:40:41.828410Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:41.828410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0vP1d/Uds2Nk9lz5jGxOPeyOkwjfiAnGOuBWvutHCnFhwVTR2g52rYo4Oe02b31wfLm5zEGwNUw6geweiddsBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:41.829247Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.03586","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02d8c027f7c60d201b13a8b17e690b939ee0f45ef84bf730f2b6f505bb9bd981","sha256:8c90dabb21f05fe470c797f4dc5b13cc36daaf2ee33fb9437bc306ad6b5c9549"],"state_sha256":"d76df386f12fed749cf9ad6555c39924bdb62f116b34ec0d961b5e2e7748cb48"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TV+HSByGNuLH7GKIbXhOecTiAdVvKELUa+2j1lxfV5rl9B4SQv6FZlYrRsmP3G5vY2886s7kOmfqVriFoGnSAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T07:51:57.108692Z","bundle_sha256":"094b13d8db1cbf81c2e71a11badb8a52b877b135389a60daedb789a4a6ae2aa1"}}