{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3PXM6BKCFMWUWZGXQSAZT55KY7","short_pith_number":"pith:3PXM6BKC","canonical_record":{"source":{"id":"1608.08583","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-08-30T18:05:28Z","cross_cats_sorted":[],"title_canon_sha256":"bd2d5ce4fc92055b87c0339f8212099ab0cbb7d2590782affd6e290069906d11","abstract_canon_sha256":"45a556b14df015fa9003410b6a57d6b64cfb1bd891e69f3a162243d1b7cfaa72"},"schema_version":"1.0"},"canonical_sha256":"dbeecf05422b2d4b64d7848199f7aac7de1be898d5706521d2c4b49ee34da0e6","source":{"kind":"arxiv","id":"1608.08583","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08583","created_at":"2026-05-18T01:07:17Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08583v1","created_at":"2026-05-18T01:07:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08583","created_at":"2026-05-18T01:07:17Z"},{"alias_kind":"pith_short_12","alias_value":"3PXM6BKCFMWU","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3PXM6BKCFMWUWZGX","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3PXM6BKC","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3PXM6BKCFMWUWZGXQSAZT55KY7","target":"record","payload":{"canonical_record":{"source":{"id":"1608.08583","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-08-30T18:05:28Z","cross_cats_sorted":[],"title_canon_sha256":"bd2d5ce4fc92055b87c0339f8212099ab0cbb7d2590782affd6e290069906d11","abstract_canon_sha256":"45a556b14df015fa9003410b6a57d6b64cfb1bd891e69f3a162243d1b7cfaa72"},"schema_version":"1.0"},"canonical_sha256":"dbeecf05422b2d4b64d7848199f7aac7de1be898d5706521d2c4b49ee34da0e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:17.718965Z","signature_b64":"FMArnLKl5u88TGoX5KOEWdbZSj77oL3WehLbBy06ll5UoVApJpXs1ugj0pUv+Mx8CpxQfq2DF4xKDFF20xrgDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbeecf05422b2d4b64d7848199f7aac7de1be898d5706521d2c4b49ee34da0e6","last_reissued_at":"2026-05-18T01:07:17.718411Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:17.718411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.08583","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":"2026-05-18T01:07:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C4NLj/MvVzrSuUsp6curGWduW6J5aBE2sDnqwDs2nMMeDixMDhz7wRkde/f8VVpt/E4gi85jSnRrwUMVKoC5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:01:22.657584Z"},"content_sha256":"498efabac3a84ee01d1daa15ea7b812abebbd2af56a3845001164b73903cce9d","schema_version":"1.0","event_id":"sha256:498efabac3a84ee01d1daa15ea7b812abebbd2af56a3845001164b73903cce9d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3PXM6BKCFMWUWZGXQSAZT55KY7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On unimodular transformations of conservative L-systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Eduard Tsekanovskii, Konstantin Makarov, Sergey Belyi","submitted_at":"2016-08-30T18:05:28Z","abstract_excerpt":"We study unimodular transformations of conservative $L$-systems. Classes $\\sM^Q$, $\\sM^Q_\\kappa$, $\\sM^{-1,Q}_\\kappa$ that are impedance functions of the corresponding $L$-systems are introduced. A unique unimodular transformation of a given $L$-system with impedance function from the mentioned above classes is found such that the impedance function of a new $L$-system belongs to $\\sM^{(-Q)}$, $\\sM^{(-Q)}_\\kappa$, $\\sM^{-1,(-Q)}_\\kappa$, respectively. As a result we get that considered classes (that are perturbations of the Donoghue classes of Herglotz-Nevanlinna functions with an arbitrary re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08583","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":"2026-05-18T01:07:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0oUjG0SWLyKsZdG7EUmHH9zCUXs/Tjj6sTQadNqFFnWdy0a3FDDkCnm9sGweeuMPxUU2pM4VetybpwRA94YQAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:01:22.657965Z"},"content_sha256":"127971ad4b7c3635e8a4a4e56fbb5300abc609c06fca502c7fbac8d3d9886434","schema_version":"1.0","event_id":"sha256:127971ad4b7c3635e8a4a4e56fbb5300abc609c06fca502c7fbac8d3d9886434"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3PXM6BKCFMWUWZGXQSAZT55KY7/bundle.json","state_url":"https://pith.science/pith/3PXM6BKCFMWUWZGXQSAZT55KY7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3PXM6BKCFMWUWZGXQSAZT55KY7/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":"2026-05-25T18:01:22Z","links":{"resolver":"https://pith.science/pith/3PXM6BKCFMWUWZGXQSAZT55KY7","bundle":"https://pith.science/pith/3PXM6BKCFMWUWZGXQSAZT55KY7/bundle.json","state":"https://pith.science/pith/3PXM6BKCFMWUWZGXQSAZT55KY7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3PXM6BKCFMWUWZGXQSAZT55KY7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3PXM6BKCFMWUWZGXQSAZT55KY7","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":"45a556b14df015fa9003410b6a57d6b64cfb1bd891e69f3a162243d1b7cfaa72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-08-30T18:05:28Z","title_canon_sha256":"bd2d5ce4fc92055b87c0339f8212099ab0cbb7d2590782affd6e290069906d11"},"schema_version":"1.0","source":{"id":"1608.08583","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08583","created_at":"2026-05-18T01:07:17Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08583v1","created_at":"2026-05-18T01:07:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08583","created_at":"2026-05-18T01:07:17Z"},{"alias_kind":"pith_short_12","alias_value":"3PXM6BKCFMWU","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3PXM6BKCFMWUWZGX","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3PXM6BKC","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:127971ad4b7c3635e8a4a4e56fbb5300abc609c06fca502c7fbac8d3d9886434","target":"graph","created_at":"2026-05-18T01:07:17Z","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 unimodular transformations of conservative $L$-systems. Classes $\\sM^Q$, $\\sM^Q_\\kappa$, $\\sM^{-1,Q}_\\kappa$ that are impedance functions of the corresponding $L$-systems are introduced. A unique unimodular transformation of a given $L$-system with impedance function from the mentioned above classes is found such that the impedance function of a new $L$-system belongs to $\\sM^{(-Q)}$, $\\sM^{(-Q)}_\\kappa$, $\\sM^{-1,(-Q)}_\\kappa$, respectively. As a result we get that considered classes (that are perturbations of the Donoghue classes of Herglotz-Nevanlinna functions with an arbitrary re","authors_text":"Eduard Tsekanovskii, Konstantin Makarov, Sergey Belyi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-08-30T18:05:28Z","title":"On unimodular transformations of conservative L-systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08583","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":"sha256:498efabac3a84ee01d1daa15ea7b812abebbd2af56a3845001164b73903cce9d","target":"record","created_at":"2026-05-18T01:07:17Z","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":"45a556b14df015fa9003410b6a57d6b64cfb1bd891e69f3a162243d1b7cfaa72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-08-30T18:05:28Z","title_canon_sha256":"bd2d5ce4fc92055b87c0339f8212099ab0cbb7d2590782affd6e290069906d11"},"schema_version":"1.0","source":{"id":"1608.08583","kind":"arxiv","version":1}},"canonical_sha256":"dbeecf05422b2d4b64d7848199f7aac7de1be898d5706521d2c4b49ee34da0e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbeecf05422b2d4b64d7848199f7aac7de1be898d5706521d2c4b49ee34da0e6","first_computed_at":"2026-05-18T01:07:17.718411Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:17.718411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FMArnLKl5u88TGoX5KOEWdbZSj77oL3WehLbBy06ll5UoVApJpXs1ugj0pUv+Mx8CpxQfq2DF4xKDFF20xrgDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:17.718965Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.08583","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:498efabac3a84ee01d1daa15ea7b812abebbd2af56a3845001164b73903cce9d","sha256:127971ad4b7c3635e8a4a4e56fbb5300abc609c06fca502c7fbac8d3d9886434"],"state_sha256":"f88fc40c5f3afc97c16197bdb196c37794c822942b52ce35b9601de1a5d5ef4b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+DvqVcOM8cClXi+QqzmszVDI7QodXMZ31q42UAMQLpdlaRqDB2NP/V+i9SElLLSDG6lB9MxTUBGJG/y106WMCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:01:22.661464Z","bundle_sha256":"4d6a06e9a767322c827fb28035ef2e510d38fd623423de967b0125105e8d49da"}}