{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:P2ZVFGMAKZZ3DOKY4QCHZNX7BT","short_pith_number":"pith:P2ZVFGMA","canonical_record":{"source":{"id":"1411.1120","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-11-05T00:45:49Z","cross_cats_sorted":[],"title_canon_sha256":"f5a86adedf1dc920e9f3bb4783ce6f80e59c8698aae32e2901c068c066fdf698","abstract_canon_sha256":"b215e0c9e100974de5c2600efc0f33f1d6e4491c44a8b8b0780350a376ab0c7c"},"schema_version":"1.0"},"canonical_sha256":"7eb35299805673b1b958e4047cb6ff0cf4c64db7ae7aff759170975c5d49d72f","source":{"kind":"arxiv","id":"1411.1120","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.1120","created_at":"2026-05-18T02:38:36Z"},{"alias_kind":"arxiv_version","alias_value":"1411.1120v1","created_at":"2026-05-18T02:38:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.1120","created_at":"2026-05-18T02:38:36Z"},{"alias_kind":"pith_short_12","alias_value":"P2ZVFGMAKZZ3","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"P2ZVFGMAKZZ3DOKY","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"P2ZVFGMA","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:P2ZVFGMAKZZ3DOKY4QCHZNX7BT","target":"record","payload":{"canonical_record":{"source":{"id":"1411.1120","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-11-05T00:45:49Z","cross_cats_sorted":[],"title_canon_sha256":"f5a86adedf1dc920e9f3bb4783ce6f80e59c8698aae32e2901c068c066fdf698","abstract_canon_sha256":"b215e0c9e100974de5c2600efc0f33f1d6e4491c44a8b8b0780350a376ab0c7c"},"schema_version":"1.0"},"canonical_sha256":"7eb35299805673b1b958e4047cb6ff0cf4c64db7ae7aff759170975c5d49d72f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:36.284817Z","signature_b64":"IDxfGCOQThMXsXFB/F0IGNzRFDl6Ojdkby6PTHmj4fqXoJYOaOpnLQasmxiH1FePWMQplLMbLgHSRscscn2vAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7eb35299805673b1b958e4047cb6ff0cf4c64db7ae7aff759170975c5d49d72f","last_reissued_at":"2026-05-18T02:38:36.284295Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:36.284295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.1120","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:38:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zCYZIfVi0XQQ5rfh76ljqbOk9hyptehJm5vUQHehSJb8rL5RMakc7fnyGmiZlab9dPwwj0ZAR4it/EitCEk/Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:15:19.185015Z"},"content_sha256":"019648ae60fc4bcd8f1cf8f2189ba62152a96ad7c0fd61ff3cb3f76752c9dc02","schema_version":"1.0","event_id":"sha256:019648ae60fc4bcd8f1cf8f2189ba62152a96ad7c0fd61ff3cb3f76752c9dc02"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:P2ZVFGMAKZZ3DOKY4QCHZNX7BT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On linear relaxations of OPF problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Daniel Bienstock, Gonzalo Munoz","submitted_at":"2014-11-05T00:45:49Z","abstract_excerpt":"We present lifted linear relaxations of the OPF problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1120","kind":"arxiv","version":1},"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":"2026-05-18T02:38:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8VWfX1zlc4TIEWnWY9lAsSP/v0OhgQqNC1/TZZk4oPg/udSpFJhVRNy7pLFaxvI1M3zmbyuWp9b+3NQhJcOKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:15:19.185678Z"},"content_sha256":"4f212a2a65c2dec5a6dc975097caba3d3bd64bf4c599f64e968fa5b4aad2bacb","schema_version":"1.0","event_id":"sha256:4f212a2a65c2dec5a6dc975097caba3d3bd64bf4c599f64e968fa5b4aad2bacb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P2ZVFGMAKZZ3DOKY4QCHZNX7BT/bundle.json","state_url":"https://pith.science/pith/P2ZVFGMAKZZ3DOKY4QCHZNX7BT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P2ZVFGMAKZZ3DOKY4QCHZNX7BT/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":"2026-05-27T05:15:19Z","links":{"resolver":"https://pith.science/pith/P2ZVFGMAKZZ3DOKY4QCHZNX7BT","bundle":"https://pith.science/pith/P2ZVFGMAKZZ3DOKY4QCHZNX7BT/bundle.json","state":"https://pith.science/pith/P2ZVFGMAKZZ3DOKY4QCHZNX7BT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P2ZVFGMAKZZ3DOKY4QCHZNX7BT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:P2ZVFGMAKZZ3DOKY4QCHZNX7BT","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":"b215e0c9e100974de5c2600efc0f33f1d6e4491c44a8b8b0780350a376ab0c7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-11-05T00:45:49Z","title_canon_sha256":"f5a86adedf1dc920e9f3bb4783ce6f80e59c8698aae32e2901c068c066fdf698"},"schema_version":"1.0","source":{"id":"1411.1120","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.1120","created_at":"2026-05-18T02:38:36Z"},{"alias_kind":"arxiv_version","alias_value":"1411.1120v1","created_at":"2026-05-18T02:38:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.1120","created_at":"2026-05-18T02:38:36Z"},{"alias_kind":"pith_short_12","alias_value":"P2ZVFGMAKZZ3","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"P2ZVFGMAKZZ3DOKY","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"P2ZVFGMA","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:4f212a2a65c2dec5a6dc975097caba3d3bd64bf4c599f64e968fa5b4aad2bacb","target":"graph","created_at":"2026-05-18T02:38:36Z","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 present lifted linear relaxations of the OPF problem.","authors_text":"Daniel Bienstock, Gonzalo Munoz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-11-05T00:45:49Z","title":"On linear relaxations of OPF problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1120","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":"sha256:019648ae60fc4bcd8f1cf8f2189ba62152a96ad7c0fd61ff3cb3f76752c9dc02","target":"record","created_at":"2026-05-18T02:38:36Z","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":"b215e0c9e100974de5c2600efc0f33f1d6e4491c44a8b8b0780350a376ab0c7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-11-05T00:45:49Z","title_canon_sha256":"f5a86adedf1dc920e9f3bb4783ce6f80e59c8698aae32e2901c068c066fdf698"},"schema_version":"1.0","source":{"id":"1411.1120","kind":"arxiv","version":1}},"canonical_sha256":"7eb35299805673b1b958e4047cb6ff0cf4c64db7ae7aff759170975c5d49d72f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7eb35299805673b1b958e4047cb6ff0cf4c64db7ae7aff759170975c5d49d72f","first_computed_at":"2026-05-18T02:38:36.284295Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:36.284295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IDxfGCOQThMXsXFB/F0IGNzRFDl6Ojdkby6PTHmj4fqXoJYOaOpnLQasmxiH1FePWMQplLMbLgHSRscscn2vAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:36.284817Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.1120","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:019648ae60fc4bcd8f1cf8f2189ba62152a96ad7c0fd61ff3cb3f76752c9dc02","sha256:4f212a2a65c2dec5a6dc975097caba3d3bd64bf4c599f64e968fa5b4aad2bacb"],"state_sha256":"7bbc5c23855db32d8ece019ba267dc6eca7dd9c7ff34e9cb9e3bd13451c313ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fVkkXP7c68854yvfxcU0ldyCxUXX0vF0u5F63UfgJpmcUCC1DuT0wVxgImjCaIibklGDaSJxdSPJVt8X8fACAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T05:15:19.189492Z","bundle_sha256":"df13bcd4a8ae5bb9522c8e7ff03d6ebcc6b55c0ceac60131d159173175eb81d5"}}