{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:HHF7QC3RCWDB5G5MKLYM52P7GJ","short_pith_number":"pith:HHF7QC3R","canonical_record":{"source":{"id":"1604.04443","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-04-15T11:49:18Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"de65c23370003f9f069dee79d3a6f3ef12cf290f1f2d66785b64392cc26026d3","abstract_canon_sha256":"26347cf973e001b968aa97fd73e2a07f3c19e27fd204aa8521bf72b10343ee75"},"schema_version":"1.0"},"canonical_sha256":"39cbf80b7115861e9bac52f0cee9ff327ac8727d8d478ae52e9001d625adfce7","source":{"kind":"arxiv","id":"1604.04443","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04443","created_at":"2026-05-18T01:17:02Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04443v1","created_at":"2026-05-18T01:17:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04443","created_at":"2026-05-18T01:17:02Z"},{"alias_kind":"pith_short_12","alias_value":"HHF7QC3RCWDB","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HHF7QC3RCWDB5G5M","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HHF7QC3R","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:HHF7QC3RCWDB5G5MKLYM52P7GJ","target":"record","payload":{"canonical_record":{"source":{"id":"1604.04443","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-04-15T11:49:18Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"de65c23370003f9f069dee79d3a6f3ef12cf290f1f2d66785b64392cc26026d3","abstract_canon_sha256":"26347cf973e001b968aa97fd73e2a07f3c19e27fd204aa8521bf72b10343ee75"},"schema_version":"1.0"},"canonical_sha256":"39cbf80b7115861e9bac52f0cee9ff327ac8727d8d478ae52e9001d625adfce7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:02.217760Z","signature_b64":"r6cwMez8xX+Dwhm8eHr2uE0GcvmV6kOa4/PqCHWZXrd9jERUtUjuM02o+JL1Z2Uh5aY7uRynsRqdQbpOz1JPDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39cbf80b7115861e9bac52f0cee9ff327ac8727d8d478ae52e9001d625adfce7","last_reissued_at":"2026-05-18T01:17:02.217091Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:02.217091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.04443","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":"2026-05-18T01:17:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TsO50f2OK//e4q8PapaJz+KhRtf6glOQE/rltqFPe/lXkHAmL4hHOxlJyDaH4bpP9+kqAAueNsiizKJzoO8pBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:40:56.205301Z"},"content_sha256":"4ea0486758d0f84313812f29bcd50c43679a34341424007045341929eb1083cf","schema_version":"1.0","event_id":"sha256:4ea0486758d0f84313812f29bcd50c43679a34341424007045341929eb1083cf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:HHF7QC3RCWDB5G5MKLYM52P7GJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Iterative computational identification of a spacewise dependent the source in a parabolic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"cs.NA","authors_text":"Petr N. Vabishchevich","submitted_at":"2016-04-15T11:49:18Z","abstract_excerpt":"Coefficient inverse problems related to identifying the right-hand side of an equation with use of additional information is of interest among inverse problems for partial differential equations. When considering non-stationary problems, tasks of recovering the dependence of the right-hand side on time and spatial variables can be treated as independent. These tasks relate to a class of linear inverse problems, which sufficiently simplifies their study. This work is devoted to a finding the dependence of right-hand side of multidimensional parabolic equation on spatial variables using addition"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04443","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":"2026-05-18T01:17:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dMVtkZ4QNo68NoYdrdcnF12oo3QGL6RKx0Qx9nln/gI26YSMvxpoVPc7Nut+IJblymNGE2hzZWh+4TwBaX/jCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:40:56.206124Z"},"content_sha256":"147036da5481c14de89617d4c3954c94fe55e591a7c1872dad0dbbaba7088e4b","schema_version":"1.0","event_id":"sha256:147036da5481c14de89617d4c3954c94fe55e591a7c1872dad0dbbaba7088e4b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HHF7QC3RCWDB5G5MKLYM52P7GJ/bundle.json","state_url":"https://pith.science/pith/HHF7QC3RCWDB5G5MKLYM52P7GJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HHF7QC3RCWDB5G5MKLYM52P7GJ/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":"2026-06-10T05:40:56Z","links":{"resolver":"https://pith.science/pith/HHF7QC3RCWDB5G5MKLYM52P7GJ","bundle":"https://pith.science/pith/HHF7QC3RCWDB5G5MKLYM52P7GJ/bundle.json","state":"https://pith.science/pith/HHF7QC3RCWDB5G5MKLYM52P7GJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HHF7QC3RCWDB5G5MKLYM52P7GJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HHF7QC3RCWDB5G5MKLYM52P7GJ","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":"26347cf973e001b968aa97fd73e2a07f3c19e27fd204aa8521bf72b10343ee75","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-04-15T11:49:18Z","title_canon_sha256":"de65c23370003f9f069dee79d3a6f3ef12cf290f1f2d66785b64392cc26026d3"},"schema_version":"1.0","source":{"id":"1604.04443","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04443","created_at":"2026-05-18T01:17:02Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04443v1","created_at":"2026-05-18T01:17:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04443","created_at":"2026-05-18T01:17:02Z"},{"alias_kind":"pith_short_12","alias_value":"HHF7QC3RCWDB","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HHF7QC3RCWDB5G5M","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HHF7QC3R","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:147036da5481c14de89617d4c3954c94fe55e591a7c1872dad0dbbaba7088e4b","target":"graph","created_at":"2026-05-18T01:17:02Z","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":"Coefficient inverse problems related to identifying the right-hand side of an equation with use of additional information is of interest among inverse problems for partial differential equations. When considering non-stationary problems, tasks of recovering the dependence of the right-hand side on time and spatial variables can be treated as independent. These tasks relate to a class of linear inverse problems, which sufficiently simplifies their study. This work is devoted to a finding the dependence of right-hand side of multidimensional parabolic equation on spatial variables using addition","authors_text":"Petr N. Vabishchevich","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-04-15T11:49:18Z","title":"Iterative computational identification of a spacewise dependent the source in a parabolic equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04443","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":"sha256:4ea0486758d0f84313812f29bcd50c43679a34341424007045341929eb1083cf","target":"record","created_at":"2026-05-18T01:17:02Z","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":"26347cf973e001b968aa97fd73e2a07f3c19e27fd204aa8521bf72b10343ee75","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-04-15T11:49:18Z","title_canon_sha256":"de65c23370003f9f069dee79d3a6f3ef12cf290f1f2d66785b64392cc26026d3"},"schema_version":"1.0","source":{"id":"1604.04443","kind":"arxiv","version":1}},"canonical_sha256":"39cbf80b7115861e9bac52f0cee9ff327ac8727d8d478ae52e9001d625adfce7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39cbf80b7115861e9bac52f0cee9ff327ac8727d8d478ae52e9001d625adfce7","first_computed_at":"2026-05-18T01:17:02.217091Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:02.217091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r6cwMez8xX+Dwhm8eHr2uE0GcvmV6kOa4/PqCHWZXrd9jERUtUjuM02o+JL1Z2Uh5aY7uRynsRqdQbpOz1JPDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:02.217760Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.04443","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ea0486758d0f84313812f29bcd50c43679a34341424007045341929eb1083cf","sha256:147036da5481c14de89617d4c3954c94fe55e591a7c1872dad0dbbaba7088e4b"],"state_sha256":"d905fca1c9c1cd7a8301125e17b751b0ea7be338cfa5c4249bfe0b29337098ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8b6re61CwrWQly3G+z/Eaa0R9oRk84hda/eh2z8ok2Z9UY2HqgfPkKQYXWAPXNW9oJEbqFPLUYStEY/sFk6sCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T05:40:56.210557Z","bundle_sha256":"bcf9ecc2def599affbb5df17870a53c2308af585249104ad9d88c9ada23114e9"}}