{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:BPGHPQJZE2LOZTZ46UVM7JHZF2","short_pith_number":"pith:BPGHPQJZ","canonical_record":{"source":{"id":"1901.07084","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-01-21T21:15:27Z","cross_cats_sorted":[],"title_canon_sha256":"97d4095dcb551e223ae5297f614c2ac26361a33eef331755a91bd03a6a7c458d","abstract_canon_sha256":"8dbf645430051925db4ceb3d2110e4846ca4a7a074ecae60af8f968669d1905a"},"schema_version":"1.0"},"canonical_sha256":"0bcc77c1392696eccf3cf52acfa4f92ea415361a474fbc61ddc8d38850655aa4","source":{"kind":"arxiv","id":"1901.07084","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.07084","created_at":"2026-05-17T23:55:48Z"},{"alias_kind":"arxiv_version","alias_value":"1901.07084v1","created_at":"2026-05-17T23:55:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.07084","created_at":"2026-05-17T23:55:48Z"},{"alias_kind":"pith_short_12","alias_value":"BPGHPQJZE2LO","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BPGHPQJZE2LOZTZ4","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BPGHPQJZ","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:BPGHPQJZE2LOZTZ46UVM7JHZF2","target":"record","payload":{"canonical_record":{"source":{"id":"1901.07084","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-01-21T21:15:27Z","cross_cats_sorted":[],"title_canon_sha256":"97d4095dcb551e223ae5297f614c2ac26361a33eef331755a91bd03a6a7c458d","abstract_canon_sha256":"8dbf645430051925db4ceb3d2110e4846ca4a7a074ecae60af8f968669d1905a"},"schema_version":"1.0"},"canonical_sha256":"0bcc77c1392696eccf3cf52acfa4f92ea415361a474fbc61ddc8d38850655aa4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:48.204385Z","signature_b64":"wxMHm2Tcn5H4JLuQncafr54/0RZtvcmWqmdXU7/HLCOz9c2HFhF0Wooc+b3K1WOb9mOHSHJelUFFgvLCRC/CAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0bcc77c1392696eccf3cf52acfa4f92ea415361a474fbc61ddc8d38850655aa4","last_reissued_at":"2026-05-17T23:55:48.203749Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:48.203749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.07084","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":"2026-05-17T23:55:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"939BqoMVvOLniXpIeyMydCMmDxACbLAYnIXeRu+pJHRvv81vUSHm0QBSX4vCQXZhHByZbAqyvF03kIlffoisBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:13:48.472100Z"},"content_sha256":"32e510230f8c7c7b1395103ab5f4a850ea167124cb65b98f3afe5c6d447a72c6","schema_version":"1.0","event_id":"sha256:32e510230f8c7c7b1395103ab5f4a850ea167124cb65b98f3afe5c6d447a72c6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:BPGHPQJZE2LOZTZ46UVM7JHZF2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Status Determination by Interior-Point Methods for Convex Optimization Problems in Domain-Driven Form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Levent Tun\\c{c}el, Mehdi Karimi","submitted_at":"2019-01-21T21:15:27Z","abstract_excerpt":"We study the geometry of convex optimization problems given in a Domain-Driven form and categorize possible statuses of these problems using duality theory. Our duality theory for the Domain-Driven form, which accepts both conic and non-conic constraints, lets us determine and certify statuses of a problem as rigorously as the best approaches for conic formulations (which have been demonstrably very efficient in this context). We analyze the performance of an infeasible-start primal-dual algorithm for the Domain-Driven form in returning the certificates for the defined statuses. Our iteration "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.07084","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":"2026-05-17T23:55:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TrL97QySeJ9/SmIVHYpWx+nvL4aA7Sv5MpnKsdUC3G3aGsIRhA/6vLTbx94tcwB4Hrhhb0n2Eb4yI7LN0WcvCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:13:48.472466Z"},"content_sha256":"603b02c796ab83b4373dac00a10a3736d456c397ae029e6ba148ce55ef98296f","schema_version":"1.0","event_id":"sha256:603b02c796ab83b4373dac00a10a3736d456c397ae029e6ba148ce55ef98296f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2/bundle.json","state_url":"https://pith.science/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2/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":"2026-06-23T15:13:48Z","links":{"resolver":"https://pith.science/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2","bundle":"https://pith.science/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2/bundle.json","state":"https://pith.science/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:BPGHPQJZE2LOZTZ46UVM7JHZF2","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":"8dbf645430051925db4ceb3d2110e4846ca4a7a074ecae60af8f968669d1905a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-01-21T21:15:27Z","title_canon_sha256":"97d4095dcb551e223ae5297f614c2ac26361a33eef331755a91bd03a6a7c458d"},"schema_version":"1.0","source":{"id":"1901.07084","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.07084","created_at":"2026-05-17T23:55:48Z"},{"alias_kind":"arxiv_version","alias_value":"1901.07084v1","created_at":"2026-05-17T23:55:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.07084","created_at":"2026-05-17T23:55:48Z"},{"alias_kind":"pith_short_12","alias_value":"BPGHPQJZE2LO","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BPGHPQJZE2LOZTZ4","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BPGHPQJZ","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:603b02c796ab83b4373dac00a10a3736d456c397ae029e6ba148ce55ef98296f","target":"graph","created_at":"2026-05-17T23:55:48Z","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 study the geometry of convex optimization problems given in a Domain-Driven form and categorize possible statuses of these problems using duality theory. Our duality theory for the Domain-Driven form, which accepts both conic and non-conic constraints, lets us determine and certify statuses of a problem as rigorously as the best approaches for conic formulations (which have been demonstrably very efficient in this context). We analyze the performance of an infeasible-start primal-dual algorithm for the Domain-Driven form in returning the certificates for the defined statuses. Our iteration ","authors_text":"Levent Tun\\c{c}el, Mehdi Karimi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-01-21T21:15:27Z","title":"Status Determination by Interior-Point Methods for Convex Optimization Problems in Domain-Driven Form"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.07084","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":"sha256:32e510230f8c7c7b1395103ab5f4a850ea167124cb65b98f3afe5c6d447a72c6","target":"record","created_at":"2026-05-17T23:55:48Z","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":"8dbf645430051925db4ceb3d2110e4846ca4a7a074ecae60af8f968669d1905a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-01-21T21:15:27Z","title_canon_sha256":"97d4095dcb551e223ae5297f614c2ac26361a33eef331755a91bd03a6a7c458d"},"schema_version":"1.0","source":{"id":"1901.07084","kind":"arxiv","version":1}},"canonical_sha256":"0bcc77c1392696eccf3cf52acfa4f92ea415361a474fbc61ddc8d38850655aa4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0bcc77c1392696eccf3cf52acfa4f92ea415361a474fbc61ddc8d38850655aa4","first_computed_at":"2026-05-17T23:55:48.203749Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:48.203749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wxMHm2Tcn5H4JLuQncafr54/0RZtvcmWqmdXU7/HLCOz9c2HFhF0Wooc+b3K1WOb9mOHSHJelUFFgvLCRC/CAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:48.204385Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.07084","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32e510230f8c7c7b1395103ab5f4a850ea167124cb65b98f3afe5c6d447a72c6","sha256:603b02c796ab83b4373dac00a10a3736d456c397ae029e6ba148ce55ef98296f"],"state_sha256":"9d0fc19f8e5855174d79624edca3ee966797aa08aa8a5a5971629ce41d4a49dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i0JTclTRevIawJybEAoBAYNJnm0+gb1nl1/qO1xrcF8sJZ2NT6fa0IQ+PqCwI5JrNUqKU5VZ3HuYLjYHIgKuBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T15:13:48.474369Z","bundle_sha256":"ac0c4085c5904e27a0865f41cc334f1bffccb77dca833d5dc66f249540ef06ef"}}