{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:66F523H6O4WBQGM5JSDKENPXFJ","short_pith_number":"pith:66F523H6","canonical_record":{"source":{"id":"1805.01814","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-05-04T15:00:29Z","cross_cats_sorted":[],"title_canon_sha256":"f58d6284368d17d71c5b7f0841d9141e6d5a1e90c2ade3314b128047bb8c238c","abstract_canon_sha256":"8d0f3898246fc300dcc61cc108e017e62d493811fd83ffda88ec0ad3fe9293e3"},"schema_version":"1.0"},"canonical_sha256":"f78bdd6cfe772c18199d4c86a235f72a653bc947385756e00f8f232d1d467387","source":{"kind":"arxiv","id":"1805.01814","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.01814","created_at":"2026-05-18T00:16:46Z"},{"alias_kind":"arxiv_version","alias_value":"1805.01814v1","created_at":"2026-05-18T00:16:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.01814","created_at":"2026-05-18T00:16:46Z"},{"alias_kind":"pith_short_12","alias_value":"66F523H6O4WB","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"66F523H6O4WBQGM5","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"66F523H6","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:66F523H6O4WBQGM5JSDKENPXFJ","target":"record","payload":{"canonical_record":{"source":{"id":"1805.01814","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-05-04T15:00:29Z","cross_cats_sorted":[],"title_canon_sha256":"f58d6284368d17d71c5b7f0841d9141e6d5a1e90c2ade3314b128047bb8c238c","abstract_canon_sha256":"8d0f3898246fc300dcc61cc108e017e62d493811fd83ffda88ec0ad3fe9293e3"},"schema_version":"1.0"},"canonical_sha256":"f78bdd6cfe772c18199d4c86a235f72a653bc947385756e00f8f232d1d467387","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:46.620738Z","signature_b64":"NyK2J2rGoX7Sf2JbYmNu7w7tA5EdD9wt8oAefjHso9TlmYF2TlU7QgVbFXf2Mv3LxXGgdBsoERLqt1qAueRmBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f78bdd6cfe772c18199d4c86a235f72a653bc947385756e00f8f232d1d467387","last_reissued_at":"2026-05-18T00:16:46.620131Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:46.620131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.01814","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":"2026-05-18T00:16:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+cQKxqUdUyKcLaWtRq1EtADrZrUWnDKOgf1c35Juxz1Oqr4avdv535gwRNrGX7il2m9RZu5EwdmcmALlvFuVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:28:01.308002Z"},"content_sha256":"d44f949000c4f176629e63bb9165714139cafac6a5467bf1e325940279dce204","schema_version":"1.0","event_id":"sha256:d44f949000c4f176629e63bb9165714139cafac6a5467bf1e325940279dce204"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:66F523H6O4WBQGM5JSDKENPXFJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Observable Canonical Form for a Rational System on a Variety","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Jana Nemcova, Jan H. van Schuppen","submitted_at":"2018-05-04T15:00:29Z","abstract_excerpt":"An observable canonical form is formulated for the set of rational systems on a variety each of which is a single-input-single-output, affine in the input, and a minimal realization of its response map. The equivalence relation for the canonical form is defined by the condition that two equivalent systems have the same response map. A proof is provided that the defined form is well-defined canonical form. Special cases are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.01814","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":"2026-05-18T00:16:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"37EPhN8Ls9R70zh3ymk5+15raH57nUyYejB+HnP7pILxlN7tZFqw+I9zk4zRIqO8LbzLzY6Ok4pFkd+ktp68BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:28:01.308350Z"},"content_sha256":"80879d3c05d96083d9907a76958a6581d4fddfffe3d6d7f218c83164886cbca2","schema_version":"1.0","event_id":"sha256:80879d3c05d96083d9907a76958a6581d4fddfffe3d6d7f218c83164886cbca2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/66F523H6O4WBQGM5JSDKENPXFJ/bundle.json","state_url":"https://pith.science/pith/66F523H6O4WBQGM5JSDKENPXFJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/66F523H6O4WBQGM5JSDKENPXFJ/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":"2026-06-05T14:28:01Z","links":{"resolver":"https://pith.science/pith/66F523H6O4WBQGM5JSDKENPXFJ","bundle":"https://pith.science/pith/66F523H6O4WBQGM5JSDKENPXFJ/bundle.json","state":"https://pith.science/pith/66F523H6O4WBQGM5JSDKENPXFJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/66F523H6O4WBQGM5JSDKENPXFJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:66F523H6O4WBQGM5JSDKENPXFJ","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":"8d0f3898246fc300dcc61cc108e017e62d493811fd83ffda88ec0ad3fe9293e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-05-04T15:00:29Z","title_canon_sha256":"f58d6284368d17d71c5b7f0841d9141e6d5a1e90c2ade3314b128047bb8c238c"},"schema_version":"1.0","source":{"id":"1805.01814","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.01814","created_at":"2026-05-18T00:16:46Z"},{"alias_kind":"arxiv_version","alias_value":"1805.01814v1","created_at":"2026-05-18T00:16:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.01814","created_at":"2026-05-18T00:16:46Z"},{"alias_kind":"pith_short_12","alias_value":"66F523H6O4WB","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"66F523H6O4WBQGM5","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"66F523H6","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:80879d3c05d96083d9907a76958a6581d4fddfffe3d6d7f218c83164886cbca2","target":"graph","created_at":"2026-05-18T00:16:46Z","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":"An observable canonical form is formulated for the set of rational systems on a variety each of which is a single-input-single-output, affine in the input, and a minimal realization of its response map. The equivalence relation for the canonical form is defined by the condition that two equivalent systems have the same response map. A proof is provided that the defined form is well-defined canonical form. Special cases are discussed.","authors_text":"Jana Nemcova, Jan H. van Schuppen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-05-04T15:00:29Z","title":"An Observable Canonical Form for a Rational System on a Variety"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.01814","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:d44f949000c4f176629e63bb9165714139cafac6a5467bf1e325940279dce204","target":"record","created_at":"2026-05-18T00:16:46Z","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":"8d0f3898246fc300dcc61cc108e017e62d493811fd83ffda88ec0ad3fe9293e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-05-04T15:00:29Z","title_canon_sha256":"f58d6284368d17d71c5b7f0841d9141e6d5a1e90c2ade3314b128047bb8c238c"},"schema_version":"1.0","source":{"id":"1805.01814","kind":"arxiv","version":1}},"canonical_sha256":"f78bdd6cfe772c18199d4c86a235f72a653bc947385756e00f8f232d1d467387","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f78bdd6cfe772c18199d4c86a235f72a653bc947385756e00f8f232d1d467387","first_computed_at":"2026-05-18T00:16:46.620131Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:46.620131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NyK2J2rGoX7Sf2JbYmNu7w7tA5EdD9wt8oAefjHso9TlmYF2TlU7QgVbFXf2Mv3LxXGgdBsoERLqt1qAueRmBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:46.620738Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.01814","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d44f949000c4f176629e63bb9165714139cafac6a5467bf1e325940279dce204","sha256:80879d3c05d96083d9907a76958a6581d4fddfffe3d6d7f218c83164886cbca2"],"state_sha256":"72fa347052f7db091d0ce5f14af5719f5bc4550e744f7803b47caa2203d262fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YhBZV9RJQFI29Qn8cNoORLnYAgvYMqZQRz6yJZInmyB4pW0izruQ7o/0n97mva+lhHCkOUmBCyPRwRCRVqn2Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T14:28:01.310235Z","bundle_sha256":"53d8df21783fde77070a0f9f756b11892d95a756893e1c75e29634135bd2e9a6"}}