{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:V5OVOIM3QXCMWX72MMNOJZ56AL","short_pith_number":"pith:V5OVOIM3","canonical_record":{"source":{"id":"2307.00979","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-07-03T12:52:12Z","cross_cats_sorted":[],"title_canon_sha256":"82d26b79c469592306075a836c8ff3758c1a46c332be4699fc6bdae4db6565b8","abstract_canon_sha256":"51b11e2dc40261bf61765e374079d9f3e4555a5905424192e004408caa0926f2"},"schema_version":"1.0"},"canonical_sha256":"af5d57219b85c4cb5ffa631ae4e7be02f14b3a6c2bd57ba276a1aeaa8cc69e94","source":{"kind":"arxiv","id":"2307.00979","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.00979","created_at":"2026-07-05T06:27:02Z"},{"alias_kind":"arxiv_version","alias_value":"2307.00979v1","created_at":"2026-07-05T06:27:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.00979","created_at":"2026-07-05T06:27:02Z"},{"alias_kind":"pith_short_12","alias_value":"V5OVOIM3QXCM","created_at":"2026-07-05T06:27:02Z"},{"alias_kind":"pith_short_16","alias_value":"V5OVOIM3QXCMWX72","created_at":"2026-07-05T06:27:02Z"},{"alias_kind":"pith_short_8","alias_value":"V5OVOIM3","created_at":"2026-07-05T06:27:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:V5OVOIM3QXCMWX72MMNOJZ56AL","target":"record","payload":{"canonical_record":{"source":{"id":"2307.00979","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-07-03T12:52:12Z","cross_cats_sorted":[],"title_canon_sha256":"82d26b79c469592306075a836c8ff3758c1a46c332be4699fc6bdae4db6565b8","abstract_canon_sha256":"51b11e2dc40261bf61765e374079d9f3e4555a5905424192e004408caa0926f2"},"schema_version":"1.0"},"canonical_sha256":"af5d57219b85c4cb5ffa631ae4e7be02f14b3a6c2bd57ba276a1aeaa8cc69e94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:27:02.511616Z","signature_b64":"8FP0gRirQeOPJBj6cFijfL/Qj6HY719YVTbWo/y+gM72PIpLZ/TRTthDWkgwa2TSQwFfCVQQ/7l8MN/cBXnnAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af5d57219b85c4cb5ffa631ae4e7be02f14b3a6c2bd57ba276a1aeaa8cc69e94","last_reissued_at":"2026-07-05T06:27:02.511123Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:27:02.511123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2307.00979","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":"2026-07-05T06:27:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wUvnAt3ASqPswzAzAZXU3pbMjfHN7eaz17w8B8NenmFZCTvGoWRUIJNSwN/2NWU70U92882NFOxrHN0oRaknBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T13:53:10.236428Z"},"content_sha256":"fa19bcc12ab17da322b2a379ca362eb2fffda77dc20bead280064bc9a7e677c8","schema_version":"1.0","event_id":"sha256:fa19bcc12ab17da322b2a379ca362eb2fffda77dc20bead280064bc9a7e677c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:V5OVOIM3QXCMWX72MMNOJZ56AL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Feasibility problems via paramonotone operators in a convex setting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"J. Camacho, J.E. Mart\\'inez-Legaz, J. Parra, M.J. C\\'anovas","submitted_at":"2023-07-03T12:52:12Z","abstract_excerpt":"This paper is focused on some properties of paramonotone operators on Banach spaces and their application to certain feasibility problems for convex sets in a Hilbert space and convex systems in the Euclidean space. In particular, it shows that operators that are simultaneously paramonotone and bimonotone are constant on their domains, and this fact is applied to tackle two particular situations. The first one, closely related to simultaneous projections, deals with a finite amount of convex sets with an empty intersection and tackles the problem of finding the smallest perturbations (in the s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.00979","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2307.00979/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:27:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5t20o/gU6F4Xdt/pASyauNwBfgYCtBWXnkjS8Mldz2wNiukr2UIhjmchGz9UBDHhZAojLj78wpO3XBeEdr7dAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T13:53:10.236998Z"},"content_sha256":"bba6c12e79a8df6694982e31f9c8834de6993002f49437268d2052785ae8ee7b","schema_version":"1.0","event_id":"sha256:bba6c12e79a8df6694982e31f9c8834de6993002f49437268d2052785ae8ee7b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V5OVOIM3QXCMWX72MMNOJZ56AL/bundle.json","state_url":"https://pith.science/pith/V5OVOIM3QXCMWX72MMNOJZ56AL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V5OVOIM3QXCMWX72MMNOJZ56AL/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":"2026-08-06T13:53:10Z","links":{"resolver":"https://pith.science/pith/V5OVOIM3QXCMWX72MMNOJZ56AL","bundle":"https://pith.science/pith/V5OVOIM3QXCMWX72MMNOJZ56AL/bundle.json","state":"https://pith.science/pith/V5OVOIM3QXCMWX72MMNOJZ56AL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V5OVOIM3QXCMWX72MMNOJZ56AL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:V5OVOIM3QXCMWX72MMNOJZ56AL","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":"51b11e2dc40261bf61765e374079d9f3e4555a5905424192e004408caa0926f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-07-03T12:52:12Z","title_canon_sha256":"82d26b79c469592306075a836c8ff3758c1a46c332be4699fc6bdae4db6565b8"},"schema_version":"1.0","source":{"id":"2307.00979","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.00979","created_at":"2026-07-05T06:27:02Z"},{"alias_kind":"arxiv_version","alias_value":"2307.00979v1","created_at":"2026-07-05T06:27:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.00979","created_at":"2026-07-05T06:27:02Z"},{"alias_kind":"pith_short_12","alias_value":"V5OVOIM3QXCM","created_at":"2026-07-05T06:27:02Z"},{"alias_kind":"pith_short_16","alias_value":"V5OVOIM3QXCMWX72","created_at":"2026-07-05T06:27:02Z"},{"alias_kind":"pith_short_8","alias_value":"V5OVOIM3","created_at":"2026-07-05T06:27:02Z"}],"graph_snapshots":[{"event_id":"sha256:bba6c12e79a8df6694982e31f9c8834de6993002f49437268d2052785ae8ee7b","target":"graph","created_at":"2026-07-05T06:27:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2307.00979/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper is focused on some properties of paramonotone operators on Banach spaces and their application to certain feasibility problems for convex sets in a Hilbert space and convex systems in the Euclidean space. In particular, it shows that operators that are simultaneously paramonotone and bimonotone are constant on their domains, and this fact is applied to tackle two particular situations. The first one, closely related to simultaneous projections, deals with a finite amount of convex sets with an empty intersection and tackles the problem of finding the smallest perturbations (in the s","authors_text":"J. Camacho, J.E. Mart\\'inez-Legaz, J. Parra, M.J. C\\'anovas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-07-03T12:52:12Z","title":"Feasibility problems via paramonotone operators in a convex setting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.00979","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:fa19bcc12ab17da322b2a379ca362eb2fffda77dc20bead280064bc9a7e677c8","target":"record","created_at":"2026-07-05T06:27:02Z","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":"51b11e2dc40261bf61765e374079d9f3e4555a5905424192e004408caa0926f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-07-03T12:52:12Z","title_canon_sha256":"82d26b79c469592306075a836c8ff3758c1a46c332be4699fc6bdae4db6565b8"},"schema_version":"1.0","source":{"id":"2307.00979","kind":"arxiv","version":1}},"canonical_sha256":"af5d57219b85c4cb5ffa631ae4e7be02f14b3a6c2bd57ba276a1aeaa8cc69e94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af5d57219b85c4cb5ffa631ae4e7be02f14b3a6c2bd57ba276a1aeaa8cc69e94","first_computed_at":"2026-07-05T06:27:02.511123Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:27:02.511123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8FP0gRirQeOPJBj6cFijfL/Qj6HY719YVTbWo/y+gM72PIpLZ/TRTthDWkgwa2TSQwFfCVQQ/7l8MN/cBXnnAw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:27:02.511616Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.00979","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa19bcc12ab17da322b2a379ca362eb2fffda77dc20bead280064bc9a7e677c8","sha256:bba6c12e79a8df6694982e31f9c8834de6993002f49437268d2052785ae8ee7b"],"state_sha256":"04a1c5ccf616bddb7db6aedfb3bb6933912af9dd24097b73d837fe7f636d327b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nrHtAWg/Cnq72kUmJVHNmltS6pddT7unkalYGjCLfaZzv1wqkkVCcWDlCergI5d7m+c6WKbYTj4ASRIyKJjLCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T13:53:10.240193Z","bundle_sha256":"ed82b3e2f501b95a1501bd16c4d9048f3cfb0b86e31c26e4db6bf8df4ea08b92"}}