{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:V2BRAMHOE5NPLFSSXIZGE5CBT2","short_pith_number":"pith:V2BRAMHO","canonical_record":{"source":{"id":"1404.0088","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OS","submitted_at":"2014-04-01T00:40:01Z","cross_cats_sorted":[],"title_canon_sha256":"90194c2b112a1ce0bf32e58ed26cee53f794292e13322797a3584d4ef0cd91be","abstract_canon_sha256":"aeffbabcd2b3e7dcf940ebf507945788127bca61648250058ded6ca5b6214ca9"},"schema_version":"1.0"},"canonical_sha256":"ae831030ee275af59652ba326274419eb0183cdb64a85940e1ee0e7b42cc577c","source":{"kind":"arxiv","id":"1404.0088","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.0088","created_at":"2026-05-18T02:55:05Z"},{"alias_kind":"arxiv_version","alias_value":"1404.0088v1","created_at":"2026-05-18T02:55:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0088","created_at":"2026-05-18T02:55:05Z"},{"alias_kind":"pith_short_12","alias_value":"V2BRAMHOE5NP","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"V2BRAMHOE5NPLFSS","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"V2BRAMHO","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:V2BRAMHOE5NPLFSSXIZGE5CBT2","target":"record","payload":{"canonical_record":{"source":{"id":"1404.0088","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OS","submitted_at":"2014-04-01T00:40:01Z","cross_cats_sorted":[],"title_canon_sha256":"90194c2b112a1ce0bf32e58ed26cee53f794292e13322797a3584d4ef0cd91be","abstract_canon_sha256":"aeffbabcd2b3e7dcf940ebf507945788127bca61648250058ded6ca5b6214ca9"},"schema_version":"1.0"},"canonical_sha256":"ae831030ee275af59652ba326274419eb0183cdb64a85940e1ee0e7b42cc577c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:05.171674Z","signature_b64":"sr3oA9yJq8i2QQHbNeX5GWkv2dkuKRI0mww/Ml6xZiVn2dyDQ+5K0PfanhasjVqKNZSraZRdDiEKStqTuyVYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae831030ee275af59652ba326274419eb0183cdb64a85940e1ee0e7b42cc577c","last_reissued_at":"2026-05-18T02:55:05.171278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:05.171278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.0088","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":"2026-05-18T02:55:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lAALClszED6BJRt55zoyVoprVxg9y2ihlwyNixgquY23n01tIVmWPsFOThABH9YvbtayxVc1WjGBotPa7N95AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T22:53:43.900566Z"},"content_sha256":"813b772e3c4c565add357c8659b720f9bf300011ee05c3876cb22429b5f1c1f3","schema_version":"1.0","event_id":"sha256:813b772e3c4c565add357c8659b720f9bf300011ee05c3876cb22429b5f1c1f3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:V2BRAMHOE5NPLFSSXIZGE5CBT2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Toward Parametric Timed Interfaces for Real-Time Components","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.OS","authors_text":"\\'Etienne Andr\\'e, Giuseppe Lipari, Laurent Fribourg, Youcheng Sun","submitted_at":"2014-04-01T00:40:01Z","abstract_excerpt":"We propose here a framework to model real-time components consisting of concurrent real-time tasks running on a single processor, using parametric timed automata. Our framework is generic and modular, so as to be easily adapted to different schedulers and more complex task models. We first perform a parametric schedulability analysis of the components using the inverse method. We show that the method unfortunately does not provide satisfactory results when the task periods are consid- ered as parameters. After identifying and explaining the problem, we present a solution adapting the model by "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0088","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":"2026-05-18T02:55:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/sDuOU7bVTjUYz0BRgEEQ4SLvqjmC4mzwqUaxII6WF0XUkI2/5C4s+tmUG2jDrar0mZ5d1b3fGdOupKqs9NVCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T22:53:43.900921Z"},"content_sha256":"6f5a04606db23bbc11d00294318c7339f4be52e6f7d6dc2196b456088e9e2670","schema_version":"1.0","event_id":"sha256:6f5a04606db23bbc11d00294318c7339f4be52e6f7d6dc2196b456088e9e2670"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V2BRAMHOE5NPLFSSXIZGE5CBT2/bundle.json","state_url":"https://pith.science/pith/V2BRAMHOE5NPLFSSXIZGE5CBT2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V2BRAMHOE5NPLFSSXIZGE5CBT2/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":"2026-06-25T22:53:43Z","links":{"resolver":"https://pith.science/pith/V2BRAMHOE5NPLFSSXIZGE5CBT2","bundle":"https://pith.science/pith/V2BRAMHOE5NPLFSSXIZGE5CBT2/bundle.json","state":"https://pith.science/pith/V2BRAMHOE5NPLFSSXIZGE5CBT2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V2BRAMHOE5NPLFSSXIZGE5CBT2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:V2BRAMHOE5NPLFSSXIZGE5CBT2","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":"aeffbabcd2b3e7dcf940ebf507945788127bca61648250058ded6ca5b6214ca9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OS","submitted_at":"2014-04-01T00:40:01Z","title_canon_sha256":"90194c2b112a1ce0bf32e58ed26cee53f794292e13322797a3584d4ef0cd91be"},"schema_version":"1.0","source":{"id":"1404.0088","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.0088","created_at":"2026-05-18T02:55:05Z"},{"alias_kind":"arxiv_version","alias_value":"1404.0088v1","created_at":"2026-05-18T02:55:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0088","created_at":"2026-05-18T02:55:05Z"},{"alias_kind":"pith_short_12","alias_value":"V2BRAMHOE5NP","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"V2BRAMHOE5NPLFSS","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"V2BRAMHO","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:6f5a04606db23bbc11d00294318c7339f4be52e6f7d6dc2196b456088e9e2670","target":"graph","created_at":"2026-05-18T02:55:05Z","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 propose here a framework to model real-time components consisting of concurrent real-time tasks running on a single processor, using parametric timed automata. Our framework is generic and modular, so as to be easily adapted to different schedulers and more complex task models. We first perform a parametric schedulability analysis of the components using the inverse method. We show that the method unfortunately does not provide satisfactory results when the task periods are consid- ered as parameters. After identifying and explaining the problem, we present a solution adapting the model by ","authors_text":"\\'Etienne Andr\\'e, Giuseppe Lipari, Laurent Fribourg, Youcheng Sun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OS","submitted_at":"2014-04-01T00:40:01Z","title":"Toward Parametric Timed Interfaces for Real-Time Components"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0088","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":"sha256:813b772e3c4c565add357c8659b720f9bf300011ee05c3876cb22429b5f1c1f3","target":"record","created_at":"2026-05-18T02:55:05Z","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":"aeffbabcd2b3e7dcf940ebf507945788127bca61648250058ded6ca5b6214ca9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.OS","submitted_at":"2014-04-01T00:40:01Z","title_canon_sha256":"90194c2b112a1ce0bf32e58ed26cee53f794292e13322797a3584d4ef0cd91be"},"schema_version":"1.0","source":{"id":"1404.0088","kind":"arxiv","version":1}},"canonical_sha256":"ae831030ee275af59652ba326274419eb0183cdb64a85940e1ee0e7b42cc577c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae831030ee275af59652ba326274419eb0183cdb64a85940e1ee0e7b42cc577c","first_computed_at":"2026-05-18T02:55:05.171278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:05.171278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sr3oA9yJq8i2QQHbNeX5GWkv2dkuKRI0mww/Ml6xZiVn2dyDQ+5K0PfanhasjVqKNZSraZRdDiEKStqTuyVYCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:05.171674Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.0088","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:813b772e3c4c565add357c8659b720f9bf300011ee05c3876cb22429b5f1c1f3","sha256:6f5a04606db23bbc11d00294318c7339f4be52e6f7d6dc2196b456088e9e2670"],"state_sha256":"9e71b160973864d96bb8137b2127155c19c345277fe7b3d544c136269dfe466f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"reVjtQHN/OfugUAzlxzOK+QwOELDayABw0GLK3dMOsZQqcpVfx8DpnwwAmMBDu+UIv56rvOLWng7wvvF2P8QBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T22:53:43.902930Z","bundle_sha256":"0831557e558ac5be4cad18e44e0bdfdeabb97be1e697063a30c63d127c6f7e88"}}