{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:EW3LHLQ2GLQGU2LUEKSB7DR2OX","short_pith_number":"pith:EW3LHLQ2","canonical_record":{"source":{"id":"0710.4223","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2007-10-23T09:53:19Z","cross_cats_sorted":[],"title_canon_sha256":"76faf3e82d8cba2cfc7cd8ed33597c72a2373b18cd15c49cc6b2f3ed0bdd16ee","abstract_canon_sha256":"3904dce57c921413e529c3bc5740cbce7a72d7c1bd85bb90033b4ca697549a7e"},"schema_version":"1.0"},"canonical_sha256":"25b6b3ae1a32e06a697422a41f8e3a75eb856d790c4192faa470d0ed394357d5","source":{"kind":"arxiv","id":"0710.4223","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.4223","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"arxiv_version","alias_value":"0710.4223v2","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.4223","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"pith_short_12","alias_value":"EW3LHLQ2GLQG","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"EW3LHLQ2GLQGU2LU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"EW3LHLQ2","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:EW3LHLQ2GLQGU2LUEKSB7DR2OX","target":"record","payload":{"canonical_record":{"source":{"id":"0710.4223","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2007-10-23T09:53:19Z","cross_cats_sorted":[],"title_canon_sha256":"76faf3e82d8cba2cfc7cd8ed33597c72a2373b18cd15c49cc6b2f3ed0bdd16ee","abstract_canon_sha256":"3904dce57c921413e529c3bc5740cbce7a72d7c1bd85bb90033b4ca697549a7e"},"schema_version":"1.0"},"canonical_sha256":"25b6b3ae1a32e06a697422a41f8e3a75eb856d790c4192faa470d0ed394357d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:10.213932Z","signature_b64":"Nx6di6I0JC+aVZ18GJ8B781NzIX6cAaV8+j4neU6FibJzk4urftvPp1QZ0KYcwOSA2LojOc1XK2rLsFBy1QfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25b6b3ae1a32e06a697422a41f8e3a75eb856d790c4192faa470d0ed394357d5","last_reissued_at":"2026-05-18T02:16:10.213226Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:10.213226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0710.4223","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:16:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/M2aZlT8QqtV5Kr2U6LUQ16wFQzU8owBTdG6QAqyACFMFDigQVxd2Xa3esnLwqnXP/zj5N/7A4OsQIWIaAYrCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:00:10.730307Z"},"content_sha256":"8ea3a47b9ee33003d8688cf663486a4a5c9063100010c3e3335a055593eefb2f","schema_version":"1.0","event_id":"sha256:8ea3a47b9ee33003d8688cf663486a4a5c9063100010c3e3335a055593eefb2f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:EW3LHLQ2GLQGU2LUEKSB7DR2OX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time Scaling of Chaotic Systems: Application to Secure Communications","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Donatello Materassi, Michele Basso","submitted_at":"2007-10-23T09:53:19Z","abstract_excerpt":"The paper deals with time-scaling transformations of dynamical systems. Such scaling functions operate a change of coordinates on the time axis of the system trajectories preserving its phase portrait. Exploiting this property, a chaos encryption technique to transmit a binary signal through an analog channel is proposed. The scheme is based on a suitable time-scaling function which plays the role of a private key. The encoded transmitted signal is proved to resist known decryption attacks offering a secure and reliable communication."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.4223","kind":"arxiv","version":2},"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":"2026-05-18T02:16:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JoTk7VM7hlgvfuXM0JmW7fmlI+OCpJh9/6esNcB9EAV71bqmLaGjbMt9dzwNJ1dB7XiHCfzwscbGNP0m2/XDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:00:10.730666Z"},"content_sha256":"35bf865da80f2f3edb2cea913b941f0f213a8fc1259e90353b514a24df1a3c27","schema_version":"1.0","event_id":"sha256:35bf865da80f2f3edb2cea913b941f0f213a8fc1259e90353b514a24df1a3c27"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EW3LHLQ2GLQGU2LUEKSB7DR2OX/bundle.json","state_url":"https://pith.science/pith/EW3LHLQ2GLQGU2LUEKSB7DR2OX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EW3LHLQ2GLQGU2LUEKSB7DR2OX/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":"2026-06-03T21:00:10Z","links":{"resolver":"https://pith.science/pith/EW3LHLQ2GLQGU2LUEKSB7DR2OX","bundle":"https://pith.science/pith/EW3LHLQ2GLQGU2LUEKSB7DR2OX/bundle.json","state":"https://pith.science/pith/EW3LHLQ2GLQGU2LUEKSB7DR2OX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EW3LHLQ2GLQGU2LUEKSB7DR2OX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:EW3LHLQ2GLQGU2LUEKSB7DR2OX","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":"3904dce57c921413e529c3bc5740cbce7a72d7c1bd85bb90033b4ca697549a7e","cross_cats_sorted":[],"license":"","primary_cat":"nlin.CD","submitted_at":"2007-10-23T09:53:19Z","title_canon_sha256":"76faf3e82d8cba2cfc7cd8ed33597c72a2373b18cd15c49cc6b2f3ed0bdd16ee"},"schema_version":"1.0","source":{"id":"0710.4223","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.4223","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"arxiv_version","alias_value":"0710.4223v2","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.4223","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"pith_short_12","alias_value":"EW3LHLQ2GLQG","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"EW3LHLQ2GLQGU2LU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"EW3LHLQ2","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:35bf865da80f2f3edb2cea913b941f0f213a8fc1259e90353b514a24df1a3c27","target":"graph","created_at":"2026-05-18T02:16:10Z","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":"The paper deals with time-scaling transformations of dynamical systems. Such scaling functions operate a change of coordinates on the time axis of the system trajectories preserving its phase portrait. Exploiting this property, a chaos encryption technique to transmit a binary signal through an analog channel is proposed. The scheme is based on a suitable time-scaling function which plays the role of a private key. The encoded transmitted signal is proved to resist known decryption attacks offering a secure and reliable communication.","authors_text":"Donatello Materassi, Michele Basso","cross_cats":[],"headline":"","license":"","primary_cat":"nlin.CD","submitted_at":"2007-10-23T09:53:19Z","title":"Time Scaling of Chaotic Systems: Application to Secure Communications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.4223","kind":"arxiv","version":2},"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":"sha256:8ea3a47b9ee33003d8688cf663486a4a5c9063100010c3e3335a055593eefb2f","target":"record","created_at":"2026-05-18T02:16:10Z","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":"3904dce57c921413e529c3bc5740cbce7a72d7c1bd85bb90033b4ca697549a7e","cross_cats_sorted":[],"license":"","primary_cat":"nlin.CD","submitted_at":"2007-10-23T09:53:19Z","title_canon_sha256":"76faf3e82d8cba2cfc7cd8ed33597c72a2373b18cd15c49cc6b2f3ed0bdd16ee"},"schema_version":"1.0","source":{"id":"0710.4223","kind":"arxiv","version":2}},"canonical_sha256":"25b6b3ae1a32e06a697422a41f8e3a75eb856d790c4192faa470d0ed394357d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25b6b3ae1a32e06a697422a41f8e3a75eb856d790c4192faa470d0ed394357d5","first_computed_at":"2026-05-18T02:16:10.213226Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:10.213226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nx6di6I0JC+aVZ18GJ8B781NzIX6cAaV8+j4neU6FibJzk4urftvPp1QZ0KYcwOSA2LojOc1XK2rLsFBy1QfBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:10.213932Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.4223","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ea3a47b9ee33003d8688cf663486a4a5c9063100010c3e3335a055593eefb2f","sha256:35bf865da80f2f3edb2cea913b941f0f213a8fc1259e90353b514a24df1a3c27"],"state_sha256":"c866a0db83dfbdc1515dc8d4e919db1c9d33cc787e7e7a53085a157d0179b697"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e6cdT4vdGfJWNaR4OfQ2P/HcaY+D6LiHvu6rXQMpoi33AO2+MgtlfP87i+dJxlb6LG4B356Oa7bMPyRmiPdHDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T21:00:10.732534Z","bundle_sha256":"6e460284bc149559d9ea09cba97d1c511268d7411edb2dba33c9675873167b8d"}}