{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SJNIOLCSUXU44NL5YQU2N3HEMA","short_pith_number":"pith:SJNIOLCS","canonical_record":{"source":{"id":"1702.02728","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-02-09T07:20:24Z","cross_cats_sorted":[],"title_canon_sha256":"7721d52878556e1eb162295912fc160d1d27dae6d7a62254dd9d88a17392637c","abstract_canon_sha256":"ba64bebbeed822d9ea31bc790d5a6e2c50fc7172a9022e3f8cc6083b46cfd089"},"schema_version":"1.0"},"canonical_sha256":"925a872c52a5e9ce357dc429a6ece460102601b5ae2a2fa2997f76fde345ac56","source":{"kind":"arxiv","id":"1702.02728","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02728","created_at":"2026-05-18T00:50:54Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02728v2","created_at":"2026-05-18T00:50:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02728","created_at":"2026-05-18T00:50:54Z"},{"alias_kind":"pith_short_12","alias_value":"SJNIOLCSUXU4","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SJNIOLCSUXU44NL5","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SJNIOLCS","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SJNIOLCSUXU44NL5YQU2N3HEMA","target":"record","payload":{"canonical_record":{"source":{"id":"1702.02728","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-02-09T07:20:24Z","cross_cats_sorted":[],"title_canon_sha256":"7721d52878556e1eb162295912fc160d1d27dae6d7a62254dd9d88a17392637c","abstract_canon_sha256":"ba64bebbeed822d9ea31bc790d5a6e2c50fc7172a9022e3f8cc6083b46cfd089"},"schema_version":"1.0"},"canonical_sha256":"925a872c52a5e9ce357dc429a6ece460102601b5ae2a2fa2997f76fde345ac56","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:54.079438Z","signature_b64":"vdZen/9ilVmWjd6MrdGnNm2pwWzdy11hha+/PFEeO/2M7RXP1XQeC5vN9TuNlUdlshR28B8xgdpR2fylC6lwDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"925a872c52a5e9ce357dc429a6ece460102601b5ae2a2fa2997f76fde345ac56","last_reissued_at":"2026-05-18T00:50:54.078885Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:54.078885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.02728","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":"2026-05-18T00:50:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lrZ/OYpCle9uByxbDrGjh4Lga5Qw6ruDgQ1wHKLhEmD24BL5M3ex97uPlp4PHouKkutHfgAlKubFteU7RGEXDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T11:05:40.677301Z"},"content_sha256":"ca1e171a90a54371bb7674c3bb62651f29cb867955aca054383299721ed7f718","schema_version":"1.0","event_id":"sha256:ca1e171a90a54371bb7674c3bb62651f29cb867955aca054383299721ed7f718"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SJNIOLCSUXU44NL5YQU2N3HEMA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics of the Induced Shift Map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Anima Nagar, Puneet Sharma","submitted_at":"2017-02-09T07:20:24Z","abstract_excerpt":"In this article, we compare the dynamics of the shift map and its induced counterpart on the hyperspace of the shift space. We show that many of the properties of induced shift map can be easily demonstrated by appropriate sequences of symbols. We compare the dynamics of the shift system $(\\Omega, \\sigma)$ with its induced counterpart $(\\mathcal{K}(\\Omega),\\overline{\\sigma})$, where $\\mathcal{K}(\\Omega)$ is the hyperspace of all nonempty compact subsets of $\\Omega$. Recently, such comparisons have been studied a lot for general spaces. We continue the same study in case of shift spaces, and br"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02728","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":"2026-05-18T00:50:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YrtIFoCM23/hW5hPFsUNJC5R30UAjvHsKGKH2bXPGQhCZpw8ZW8tt6pO5r5ZR9bRlfqnZyC4T1Tzfu47wa10Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T11:05:40.677670Z"},"content_sha256":"cf93d1df0ecaa72bd2012bc7ed0b6b880876b193670c1456e9471d36d1e68bfa","schema_version":"1.0","event_id":"sha256:cf93d1df0ecaa72bd2012bc7ed0b6b880876b193670c1456e9471d36d1e68bfa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SJNIOLCSUXU44NL5YQU2N3HEMA/bundle.json","state_url":"https://pith.science/pith/SJNIOLCSUXU44NL5YQU2N3HEMA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SJNIOLCSUXU44NL5YQU2N3HEMA/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":"2026-07-03T11:05:40Z","links":{"resolver":"https://pith.science/pith/SJNIOLCSUXU44NL5YQU2N3HEMA","bundle":"https://pith.science/pith/SJNIOLCSUXU44NL5YQU2N3HEMA/bundle.json","state":"https://pith.science/pith/SJNIOLCSUXU44NL5YQU2N3HEMA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SJNIOLCSUXU44NL5YQU2N3HEMA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SJNIOLCSUXU44NL5YQU2N3HEMA","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":"ba64bebbeed822d9ea31bc790d5a6e2c50fc7172a9022e3f8cc6083b46cfd089","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-02-09T07:20:24Z","title_canon_sha256":"7721d52878556e1eb162295912fc160d1d27dae6d7a62254dd9d88a17392637c"},"schema_version":"1.0","source":{"id":"1702.02728","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02728","created_at":"2026-05-18T00:50:54Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02728v2","created_at":"2026-05-18T00:50:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02728","created_at":"2026-05-18T00:50:54Z"},{"alias_kind":"pith_short_12","alias_value":"SJNIOLCSUXU4","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SJNIOLCSUXU44NL5","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SJNIOLCS","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:cf93d1df0ecaa72bd2012bc7ed0b6b880876b193670c1456e9471d36d1e68bfa","target":"graph","created_at":"2026-05-18T00:50:54Z","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":"In this article, we compare the dynamics of the shift map and its induced counterpart on the hyperspace of the shift space. We show that many of the properties of induced shift map can be easily demonstrated by appropriate sequences of symbols. We compare the dynamics of the shift system $(\\Omega, \\sigma)$ with its induced counterpart $(\\mathcal{K}(\\Omega),\\overline{\\sigma})$, where $\\mathcal{K}(\\Omega)$ is the hyperspace of all nonempty compact subsets of $\\Omega$. Recently, such comparisons have been studied a lot for general spaces. We continue the same study in case of shift spaces, and br","authors_text":"Anima Nagar, Puneet Sharma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-02-09T07:20:24Z","title":"Dynamics of the Induced Shift Map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02728","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:ca1e171a90a54371bb7674c3bb62651f29cb867955aca054383299721ed7f718","target":"record","created_at":"2026-05-18T00:50:54Z","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":"ba64bebbeed822d9ea31bc790d5a6e2c50fc7172a9022e3f8cc6083b46cfd089","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-02-09T07:20:24Z","title_canon_sha256":"7721d52878556e1eb162295912fc160d1d27dae6d7a62254dd9d88a17392637c"},"schema_version":"1.0","source":{"id":"1702.02728","kind":"arxiv","version":2}},"canonical_sha256":"925a872c52a5e9ce357dc429a6ece460102601b5ae2a2fa2997f76fde345ac56","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"925a872c52a5e9ce357dc429a6ece460102601b5ae2a2fa2997f76fde345ac56","first_computed_at":"2026-05-18T00:50:54.078885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:54.078885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vdZen/9ilVmWjd6MrdGnNm2pwWzdy11hha+/PFEeO/2M7RXP1XQeC5vN9TuNlUdlshR28B8xgdpR2fylC6lwDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:54.079438Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.02728","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca1e171a90a54371bb7674c3bb62651f29cb867955aca054383299721ed7f718","sha256:cf93d1df0ecaa72bd2012bc7ed0b6b880876b193670c1456e9471d36d1e68bfa"],"state_sha256":"990cf62584b89624e2f158470528970f26c0a383ac2191cd5cbb7617ac97e445"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JwG5kzIAJjYWHLP3YsifkiNpjRpAngWgLO/NSAr+4AONxeYpIhlhps51MZflHJRJoP1sQPimsSAWHHcortUcBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T11:05:40.679758Z","bundle_sha256":"c02b30e0eacd00e523ccbbacc5cba05e2105734d341344d1182b0d180499be57"}}