{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7KN4TDXOOT3NKY4JE3AM7PZUSO","short_pith_number":"pith:7KN4TDXO","canonical_record":{"source":{"id":"1608.02371","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-08-08T10:20:50Z","cross_cats_sorted":[],"title_canon_sha256":"2cbc77fa71bfdd15dc7a9fab5609e6cf8b08e963c8f40297bf1675c756e2405a","abstract_canon_sha256":"3ce5f947aeaac235cee968bb209f36601f88a6d6f751f9d4bcffe0f469d4b8b9"},"schema_version":"1.0"},"canonical_sha256":"fa9bc98eee74f6d5638926c0cfbf3493b7089357c761d3ac5f3ee6a4868f131d","source":{"kind":"arxiv","id":"1608.02371","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.02371","created_at":"2026-05-18T01:09:40Z"},{"alias_kind":"arxiv_version","alias_value":"1608.02371v1","created_at":"2026-05-18T01:09:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.02371","created_at":"2026-05-18T01:09:40Z"},{"alias_kind":"pith_short_12","alias_value":"7KN4TDXOOT3N","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7KN4TDXOOT3NKY4J","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7KN4TDXO","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7KN4TDXOOT3NKY4JE3AM7PZUSO","target":"record","payload":{"canonical_record":{"source":{"id":"1608.02371","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-08-08T10:20:50Z","cross_cats_sorted":[],"title_canon_sha256":"2cbc77fa71bfdd15dc7a9fab5609e6cf8b08e963c8f40297bf1675c756e2405a","abstract_canon_sha256":"3ce5f947aeaac235cee968bb209f36601f88a6d6f751f9d4bcffe0f469d4b8b9"},"schema_version":"1.0"},"canonical_sha256":"fa9bc98eee74f6d5638926c0cfbf3493b7089357c761d3ac5f3ee6a4868f131d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:40.371521Z","signature_b64":"cuB7IIpXxg9HCxxAbontDWmGXh/cQQ0vlnMObCcIr9TFFxtjjXJRio3jp7xiwoiKuq0feaC+T2rdENULeqMQAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa9bc98eee74f6d5638926c0cfbf3493b7089357c761d3ac5f3ee6a4868f131d","last_reissued_at":"2026-05-18T01:09:40.371063Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:40.371063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.02371","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":"2026-05-18T01:09:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fIaj/Hhn+2YeUscGiGS29ALnLUEJvmWO9Z+sr494Zm+YeP36iMqeGN8IPKb9qOnTt7iIr2diF0EaLEWHOpgZDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T23:40:33.959312Z"},"content_sha256":"ec630b88d00a6a3d29c086b5ef6810ada9149dc3817d8e176b9bc7d0c825e14f","schema_version":"1.0","event_id":"sha256:ec630b88d00a6a3d29c086b5ef6810ada9149dc3817d8e176b9bc7d0c825e14f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7KN4TDXOOT3NKY4JE3AM7PZUSO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the regional gradient observability of time fractional diffusion processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Chunhai Kou, Fudong Ge, YangQuan Chen","submitted_at":"2016-08-08T10:20:50Z","abstract_excerpt":"This paper for the first time addresses the concepts of regional gradient observability for the Riemann-Liouville time fractional order diffusion system in an interested subregion of the whole domain without the knowledge of the initial vector and its gradient. The Riemann-Liouville time fractional order diffusion system which replaces the first order time derivative of normal diffusion system by a Riemann-Liouville time fractional order derivative of order $\\alpha\\in (0,1]$ is used to well characterize those anomalous sub-diffusion processes. The characterizations of the strategic sensors whe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02371","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":"2026-05-18T01:09:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eExpgBs0PPDu+I7qDBttBMkf3n6PTR58FEuXr7sXgguPeGQeZq3VyklSvTF9XTpjKbsQ2fRC1tHk2fV0NyzUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T23:40:33.959676Z"},"content_sha256":"1858745c11098c90ebe7951f7160c6ed1f83bd539743d160040f50cd07dae8cd","schema_version":"1.0","event_id":"sha256:1858745c11098c90ebe7951f7160c6ed1f83bd539743d160040f50cd07dae8cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7KN4TDXOOT3NKY4JE3AM7PZUSO/bundle.json","state_url":"https://pith.science/pith/7KN4TDXOOT3NKY4JE3AM7PZUSO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7KN4TDXOOT3NKY4JE3AM7PZUSO/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":"2026-06-21T23:40:33Z","links":{"resolver":"https://pith.science/pith/7KN4TDXOOT3NKY4JE3AM7PZUSO","bundle":"https://pith.science/pith/7KN4TDXOOT3NKY4JE3AM7PZUSO/bundle.json","state":"https://pith.science/pith/7KN4TDXOOT3NKY4JE3AM7PZUSO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7KN4TDXOOT3NKY4JE3AM7PZUSO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7KN4TDXOOT3NKY4JE3AM7PZUSO","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":"3ce5f947aeaac235cee968bb209f36601f88a6d6f751f9d4bcffe0f469d4b8b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-08-08T10:20:50Z","title_canon_sha256":"2cbc77fa71bfdd15dc7a9fab5609e6cf8b08e963c8f40297bf1675c756e2405a"},"schema_version":"1.0","source":{"id":"1608.02371","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.02371","created_at":"2026-05-18T01:09:40Z"},{"alias_kind":"arxiv_version","alias_value":"1608.02371v1","created_at":"2026-05-18T01:09:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.02371","created_at":"2026-05-18T01:09:40Z"},{"alias_kind":"pith_short_12","alias_value":"7KN4TDXOOT3N","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7KN4TDXOOT3NKY4J","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7KN4TDXO","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:1858745c11098c90ebe7951f7160c6ed1f83bd539743d160040f50cd07dae8cd","target":"graph","created_at":"2026-05-18T01:09:40Z","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":"This paper for the first time addresses the concepts of regional gradient observability for the Riemann-Liouville time fractional order diffusion system in an interested subregion of the whole domain without the knowledge of the initial vector and its gradient. The Riemann-Liouville time fractional order diffusion system which replaces the first order time derivative of normal diffusion system by a Riemann-Liouville time fractional order derivative of order $\\alpha\\in (0,1]$ is used to well characterize those anomalous sub-diffusion processes. The characterizations of the strategic sensors whe","authors_text":"Chunhai Kou, Fudong Ge, YangQuan Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-08-08T10:20:50Z","title":"On the regional gradient observability of time fractional diffusion processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02371","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:ec630b88d00a6a3d29c086b5ef6810ada9149dc3817d8e176b9bc7d0c825e14f","target":"record","created_at":"2026-05-18T01:09:40Z","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":"3ce5f947aeaac235cee968bb209f36601f88a6d6f751f9d4bcffe0f469d4b8b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-08-08T10:20:50Z","title_canon_sha256":"2cbc77fa71bfdd15dc7a9fab5609e6cf8b08e963c8f40297bf1675c756e2405a"},"schema_version":"1.0","source":{"id":"1608.02371","kind":"arxiv","version":1}},"canonical_sha256":"fa9bc98eee74f6d5638926c0cfbf3493b7089357c761d3ac5f3ee6a4868f131d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa9bc98eee74f6d5638926c0cfbf3493b7089357c761d3ac5f3ee6a4868f131d","first_computed_at":"2026-05-18T01:09:40.371063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:40.371063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cuB7IIpXxg9HCxxAbontDWmGXh/cQQ0vlnMObCcIr9TFFxtjjXJRio3jp7xiwoiKuq0feaC+T2rdENULeqMQAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:40.371521Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.02371","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec630b88d00a6a3d29c086b5ef6810ada9149dc3817d8e176b9bc7d0c825e14f","sha256:1858745c11098c90ebe7951f7160c6ed1f83bd539743d160040f50cd07dae8cd"],"state_sha256":"48ee33deabaaa7dc1617abcde52c48351381eedb156eb9a53e247a9976d751bc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8X6yg7l0OmZSLlWs4Pd0J7R2Quk4xmKf+rySeK+tnxzYff9Y1qyx35iEDbTBlgZxeM0Arzr1ur7qE8BR0hPqAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T23:40:33.961708Z","bundle_sha256":"5abee9be08a66140fb9bc74d209feeeb17d2becdfa8ae54583744f1a7599109e"}}