{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:YSRQA3ESSECRJ2OJM6S2CUKSFC","short_pith_number":"pith:YSRQA3ES","canonical_record":{"source":{"id":"2607.18415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-07-20T18:03:17Z","cross_cats_sorted":["cs.MS","cs.SY","eess.SY"],"title_canon_sha256":"8b4b4a0ce27b3211273e408f213adce1fd9a9287f1ecbefefd2ebcc89b0ca6f3","abstract_canon_sha256":"234c35815631fe9b76a9dde35e99f2c030ffe912d95bcc806cd9336bec96e911"},"schema_version":"1.0"},"canonical_sha256":"c4a3006c92910514e9c967a5a151522885403315e9b638aaaf9e51678e3105df","source":{"kind":"arxiv","id":"2607.18415","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.18415","created_at":"2026-07-22T00:22:47Z"},{"alias_kind":"arxiv_version","alias_value":"2607.18415v1","created_at":"2026-07-22T00:22:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.18415","created_at":"2026-07-22T00:22:47Z"},{"alias_kind":"pith_short_12","alias_value":"YSRQA3ESSECR","created_at":"2026-07-22T00:22:47Z"},{"alias_kind":"pith_short_16","alias_value":"YSRQA3ESSECRJ2OJ","created_at":"2026-07-22T00:22:47Z"},{"alias_kind":"pith_short_8","alias_value":"YSRQA3ES","created_at":"2026-07-22T00:22:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:YSRQA3ESSECRJ2OJM6S2CUKSFC","target":"record","payload":{"canonical_record":{"source":{"id":"2607.18415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-07-20T18:03:17Z","cross_cats_sorted":["cs.MS","cs.SY","eess.SY"],"title_canon_sha256":"8b4b4a0ce27b3211273e408f213adce1fd9a9287f1ecbefefd2ebcc89b0ca6f3","abstract_canon_sha256":"234c35815631fe9b76a9dde35e99f2c030ffe912d95bcc806cd9336bec96e911"},"schema_version":"1.0"},"canonical_sha256":"c4a3006c92910514e9c967a5a151522885403315e9b638aaaf9e51678e3105df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-22T00:22:47.143651Z","signature_b64":"HiaoWUOxhe6RFG1zUqtnqeMzrA8t1Wec3H2o1ufmm8LeBJL2fX02O3Up53DI7zjtGX2IaRR5s/839UCf4JIaAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4a3006c92910514e9c967a5a151522885403315e9b638aaaf9e51678e3105df","last_reissued_at":"2026-07-22T00:22:47.142616Z","signature_status":"signed_v1","first_computed_at":"2026-07-22T00:22:47.142616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.18415","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":"2026-07-22T00:22:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RdrPoO02pggwXbtN1l+w+HF9OK7BE+pcbVOm+oZyeAEix6/+bwCVsivMqW8oKnbUDWyc9oryU8rjhUqDEMtfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T22:14:02.426497Z"},"content_sha256":"6821038113171c09e90ce7941ca8fb5cff042c67cc38e9cc04129560369b8eb7","schema_version":"1.0","event_id":"sha256:6821038113171c09e90ce7941ca8fb5cff042c67cc38e9cc04129560369b8eb7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:YSRQA3ESSECRJ2OJM6S2CUKSFC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$\\texttt{codesign-mcdp}$: A Python Library for Monotone Co-Design Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.MS","cs.SY","eess.SY"],"primary_cat":"math.OC","authors_text":"Corentin Briat","submitted_at":"2026-07-20T18:03:17Z","abstract_excerpt":"$\\texttt{codesign-mcdp}$ is a Python library for formulating and solving $\\textit{Monotone Co-Design Problems}$ (MCDPs) in the framework of Censi (2015). A design problem is a relation between two posets, a functionality poset $F$ and a resource poset $R$; given a target functionality, the problem asks for the antichain of minimal resources needed to deliver it. Design problems compose under three operators (series, parallel, feedback), and the resulting class is closed under composition. The library implements the antichain calculus, six primitive design-problem types, the three composition o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.18415","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/2607.18415/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":"2026-07-22T00:22:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RCEN/d2MdAOaSCk286UOmjyIJ+9AvUgfm+QvBowhhNZgC/MPBBJY/WRvQF0nvCthdzueE4NFJlKvK7Ltvab/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T22:14:02.426848Z"},"content_sha256":"a2e5ee989d33f36a9155f5d1221e61e7755fb6cfe3e472f6f4fbf59deb479df1","schema_version":"1.0","event_id":"sha256:a2e5ee989d33f36a9155f5d1221e61e7755fb6cfe3e472f6f4fbf59deb479df1"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:YSRQA3ESSECRJ2OJM6S2CUKSFC","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1109/LRA.2016.2535127) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"Andrea Censi. A Class of Co-Design Problems With Cyclic Constraints and Their Solu- tion.IEEE Robotics and Automation Letters, 2(1):96–103, 2017. doi: 10.1109/LRA.2016. 2535127","arxiv_id":"2607.18415","detector":"doi_compliance","evidence":{"ref_index":9,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"10.1109/lra.2016","reconstructed_doi":"10.1109/LRA.2016.2535127"},"severity":"advisory","ref_index":9,"audited_at":"2026-08-01T15:40:06.448435Z","event_type":"pith.integrity.v1","detected_doi":"10.1109/LRA.2016.2535127","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"ca8cedd89ef677b93b92ea5df93842998473490257da808803b7f1d0292d189b","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":16122,"payload_sha256":"ff52505eb3c00b39372bb3e7b6ac5c3b08df5b4a4b814a8afb95158222353e53","signature_b64":"aPrEgGyXcHRWM+9X/dD+1EvsaPstQIrnu0NJocOof342OxSTrHPzRZ+ASHtTVBvNtDoqHuj32nJc+QLhes9eBw==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-01T15:43:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p1e4WjQV/tFpqPjZMwuwnAtjk9anMrJXVJyr2yQ7oRFunDkS9iBtLUGg0aHMuxOcSPc/qwaBYmtmPJRUuxXeCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T22:14:02.429911Z"},"content_sha256":"96bbba896debddd0572d81703ae5bd2d5a2bfc8a5fe5c8fb26ae69c9fcc57957","schema_version":"1.0","event_id":"sha256:96bbba896debddd0572d81703ae5bd2d5a2bfc8a5fe5c8fb26ae69c9fcc57957"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YSRQA3ESSECRJ2OJM6S2CUKSFC/bundle.json","state_url":"https://pith.science/pith/YSRQA3ESSECRJ2OJM6S2CUKSFC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YSRQA3ESSECRJ2OJM6S2CUKSFC/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":"2026-08-19T22:14:02Z","links":{"resolver":"https://pith.science/pith/YSRQA3ESSECRJ2OJM6S2CUKSFC","bundle":"https://pith.science/pith/YSRQA3ESSECRJ2OJM6S2CUKSFC/bundle.json","state":"https://pith.science/pith/YSRQA3ESSECRJ2OJM6S2CUKSFC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YSRQA3ESSECRJ2OJM6S2CUKSFC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YSRQA3ESSECRJ2OJM6S2CUKSFC","merge_version":"pith-open-graph-merge-v1","event_count":3,"valid_event_count":3,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"234c35815631fe9b76a9dde35e99f2c030ffe912d95bcc806cd9336bec96e911","cross_cats_sorted":["cs.MS","cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-07-20T18:03:17Z","title_canon_sha256":"8b4b4a0ce27b3211273e408f213adce1fd9a9287f1ecbefefd2ebcc89b0ca6f3"},"schema_version":"1.0","source":{"id":"2607.18415","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.18415","created_at":"2026-07-22T00:22:47Z"},{"alias_kind":"arxiv_version","alias_value":"2607.18415v1","created_at":"2026-07-22T00:22:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.18415","created_at":"2026-07-22T00:22:47Z"},{"alias_kind":"pith_short_12","alias_value":"YSRQA3ESSECR","created_at":"2026-07-22T00:22:47Z"},{"alias_kind":"pith_short_16","alias_value":"YSRQA3ESSECRJ2OJ","created_at":"2026-07-22T00:22:47Z"},{"alias_kind":"pith_short_8","alias_value":"YSRQA3ES","created_at":"2026-07-22T00:22:47Z"}],"graph_snapshots":[{"event_id":"sha256:a2e5ee989d33f36a9155f5d1221e61e7755fb6cfe3e472f6f4fbf59deb479df1","target":"graph","created_at":"2026-07-22T00:22:47Z","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/2607.18415/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"$\\texttt{codesign-mcdp}$ is a Python library for formulating and solving $\\textit{Monotone Co-Design Problems}$ (MCDPs) in the framework of Censi (2015). A design problem is a relation between two posets, a functionality poset $F$ and a resource poset $R$; given a target functionality, the problem asks for the antichain of minimal resources needed to deliver it. Design problems compose under three operators (series, parallel, feedback), and the resulting class is closed under composition. The library implements the antichain calculus, six primitive design-problem types, the three composition o","authors_text":"Corentin Briat","cross_cats":["cs.MS","cs.SY","eess.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-07-20T18:03:17Z","title":"$\\texttt{codesign-mcdp}$: A Python Library for Monotone Co-Design Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.18415","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":"sha256:6821038113171c09e90ce7941ca8fb5cff042c67cc38e9cc04129560369b8eb7","target":"record","created_at":"2026-07-22T00:22:47Z","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":"234c35815631fe9b76a9dde35e99f2c030ffe912d95bcc806cd9336bec96e911","cross_cats_sorted":["cs.MS","cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-07-20T18:03:17Z","title_canon_sha256":"8b4b4a0ce27b3211273e408f213adce1fd9a9287f1ecbefefd2ebcc89b0ca6f3"},"schema_version":"1.0","source":{"id":"2607.18415","kind":"arxiv","version":1}},"canonical_sha256":"c4a3006c92910514e9c967a5a151522885403315e9b638aaaf9e51678e3105df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4a3006c92910514e9c967a5a151522885403315e9b638aaaf9e51678e3105df","first_computed_at":"2026-07-22T00:22:47.142616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-22T00:22:47.142616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HiaoWUOxhe6RFG1zUqtnqeMzrA8t1Wec3H2o1ufmm8LeBJL2fX02O3Up53DI7zjtGX2IaRR5s/839UCf4JIaAA==","signature_status":"signed_v1","signed_at":"2026-07-22T00:22:47.143651Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.18415","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6821038113171c09e90ce7941ca8fb5cff042c67cc38e9cc04129560369b8eb7","sha256:a2e5ee989d33f36a9155f5d1221e61e7755fb6cfe3e472f6f4fbf59deb479df1","sha256:96bbba896debddd0572d81703ae5bd2d5a2bfc8a5fe5c8fb26ae69c9fcc57957"],"state_sha256":"bf8bd3f70b2463799d86ccac7886e9a8cdf2d66d7f66d797dd82dc23c58768a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9MKi2NXbsojcHA5yflHlS9lz3CmL/wUnB+LexedDBr9tYGFpDUMKRGSNY+Qsc0fXbRkF3pRktySZCsu5oJWrCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T22:14:02.431392Z","bundle_sha256":"8398456af59d6e5244ccfea84096fb97f5b9809a21b9ecc62b4b793853d790c4"}}