{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TXBZQRDHZFPUJYWEDLCQXS2GRI","short_pith_number":"pith:TXBZQRDH","canonical_record":{"source":{"id":"1602.03357","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-10T13:00:47Z","cross_cats_sorted":[],"title_canon_sha256":"cfcdab7b41c22ee8cffb7ae17226da08c4d4d28bd82067d00653c55841d73cde","abstract_canon_sha256":"4af2ade7a609ffbfdc74d92ce2332999636a522b76c1bfd568510faa1cde787a"},"schema_version":"1.0"},"canonical_sha256":"9dc3984467c95f44e2c41ac50bcb468a3d4d257a53fc927e5101c613613639bf","source":{"kind":"arxiv","id":"1602.03357","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.03357","created_at":"2026-05-18T01:21:00Z"},{"alias_kind":"arxiv_version","alias_value":"1602.03357v1","created_at":"2026-05-18T01:21:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03357","created_at":"2026-05-18T01:21:00Z"},{"alias_kind":"pith_short_12","alias_value":"TXBZQRDHZFPU","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TXBZQRDHZFPUJYWE","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TXBZQRDH","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TXBZQRDHZFPUJYWEDLCQXS2GRI","target":"record","payload":{"canonical_record":{"source":{"id":"1602.03357","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-10T13:00:47Z","cross_cats_sorted":[],"title_canon_sha256":"cfcdab7b41c22ee8cffb7ae17226da08c4d4d28bd82067d00653c55841d73cde","abstract_canon_sha256":"4af2ade7a609ffbfdc74d92ce2332999636a522b76c1bfd568510faa1cde787a"},"schema_version":"1.0"},"canonical_sha256":"9dc3984467c95f44e2c41ac50bcb468a3d4d257a53fc927e5101c613613639bf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:00.208942Z","signature_b64":"gNZc138uYsP6qsuXh6amrA6XG44UrHI4zGtK0ITpC2mwzuVShOLrwbVWvjFZTcmidjGMMa1RSifMMjUv9j1ZBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9dc3984467c95f44e2c41ac50bcb468a3d4d257a53fc927e5101c613613639bf","last_reissued_at":"2026-05-18T01:21:00.208459Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:00.208459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.03357","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":"2026-05-18T01:21:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2KINJwrBmm9WXAYbBu1PEAPfsRqr3+t39gjANlSEfo8Mx6cqCGi2pgd4xPOcTbmhaWUQqFaLTBtDa7DmVkv+DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T10:35:23.399828Z"},"content_sha256":"52b48798c66799b433e12e58cb1adb42137d8b83f4ecc4559c1d6d64b00617e0","schema_version":"1.0","event_id":"sha256:52b48798c66799b433e12e58cb1adb42137d8b83f4ecc4559c1d6d64b00617e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TXBZQRDHZFPUJYWEDLCQXS2GRI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimization of the shape (and topology) of the initial conditions for diffusion parameter identification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Stefan Kindermann, Stepan Papacek","submitted_at":"2016-02-10T13:00:47Z","abstract_excerpt":"The design of an experiment, e.g., the setting of initial conditions, strongly influences the accuracy of the whole process of determining model parameters from data. We impose a sensitivity-based approach for choosing optimal design variables and study the optimization of the shape (and topology) of the initial conditions for an inverse problem of a diffusion parameter identification. Our approach, although case independent, is illustrated at the FRAP (Fluorescence Recovery After Photobleaching) experimental technique. The core idea resides in the maximization of a sensitivity measure, which "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03357","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":"2026-05-18T01:21:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3JDrwa9ijz6wCBKMhcTngtmTC+H9wTWPgcS2Rr7ywdi+hBFlHGy7GozvZDPsGdaCJcEZbnmj6aldeacepI9kAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T10:35:23.400160Z"},"content_sha256":"0513390c98a3d2bce587c2b7a8642ad79d9c368aa20630363f3f0583c2aaf434","schema_version":"1.0","event_id":"sha256:0513390c98a3d2bce587c2b7a8642ad79d9c368aa20630363f3f0583c2aaf434"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TXBZQRDHZFPUJYWEDLCQXS2GRI/bundle.json","state_url":"https://pith.science/pith/TXBZQRDHZFPUJYWEDLCQXS2GRI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TXBZQRDHZFPUJYWEDLCQXS2GRI/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":"2026-06-23T10:35:23Z","links":{"resolver":"https://pith.science/pith/TXBZQRDHZFPUJYWEDLCQXS2GRI","bundle":"https://pith.science/pith/TXBZQRDHZFPUJYWEDLCQXS2GRI/bundle.json","state":"https://pith.science/pith/TXBZQRDHZFPUJYWEDLCQXS2GRI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TXBZQRDHZFPUJYWEDLCQXS2GRI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TXBZQRDHZFPUJYWEDLCQXS2GRI","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":"4af2ade7a609ffbfdc74d92ce2332999636a522b76c1bfd568510faa1cde787a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-10T13:00:47Z","title_canon_sha256":"cfcdab7b41c22ee8cffb7ae17226da08c4d4d28bd82067d00653c55841d73cde"},"schema_version":"1.0","source":{"id":"1602.03357","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.03357","created_at":"2026-05-18T01:21:00Z"},{"alias_kind":"arxiv_version","alias_value":"1602.03357v1","created_at":"2026-05-18T01:21:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03357","created_at":"2026-05-18T01:21:00Z"},{"alias_kind":"pith_short_12","alias_value":"TXBZQRDHZFPU","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TXBZQRDHZFPUJYWE","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TXBZQRDH","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:0513390c98a3d2bce587c2b7a8642ad79d9c368aa20630363f3f0583c2aaf434","target":"graph","created_at":"2026-05-18T01:21:00Z","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 design of an experiment, e.g., the setting of initial conditions, strongly influences the accuracy of the whole process of determining model parameters from data. We impose a sensitivity-based approach for choosing optimal design variables and study the optimization of the shape (and topology) of the initial conditions for an inverse problem of a diffusion parameter identification. Our approach, although case independent, is illustrated at the FRAP (Fluorescence Recovery After Photobleaching) experimental technique. The core idea resides in the maximization of a sensitivity measure, which ","authors_text":"Stefan Kindermann, Stepan Papacek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-10T13:00:47Z","title":"Optimization of the shape (and topology) of the initial conditions for diffusion parameter identification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03357","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":"sha256:52b48798c66799b433e12e58cb1adb42137d8b83f4ecc4559c1d6d64b00617e0","target":"record","created_at":"2026-05-18T01:21:00Z","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":"4af2ade7a609ffbfdc74d92ce2332999636a522b76c1bfd568510faa1cde787a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-10T13:00:47Z","title_canon_sha256":"cfcdab7b41c22ee8cffb7ae17226da08c4d4d28bd82067d00653c55841d73cde"},"schema_version":"1.0","source":{"id":"1602.03357","kind":"arxiv","version":1}},"canonical_sha256":"9dc3984467c95f44e2c41ac50bcb468a3d4d257a53fc927e5101c613613639bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9dc3984467c95f44e2c41ac50bcb468a3d4d257a53fc927e5101c613613639bf","first_computed_at":"2026-05-18T01:21:00.208459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:00.208459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gNZc138uYsP6qsuXh6amrA6XG44UrHI4zGtK0ITpC2mwzuVShOLrwbVWvjFZTcmidjGMMa1RSifMMjUv9j1ZBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:00.208942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.03357","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52b48798c66799b433e12e58cb1adb42137d8b83f4ecc4559c1d6d64b00617e0","sha256:0513390c98a3d2bce587c2b7a8642ad79d9c368aa20630363f3f0583c2aaf434"],"state_sha256":"35c6268f6df6cc6838db07c1c433ae8fff1df93b6028bedcccf8611fc8363671"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D8bHjXlt4ftnICndU4915G1W08UrV0mYBHYbKihy6G39rhgkAi58PogSzli6kq7iSfxECozzwYvWNDervs8LAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T10:35:23.402285Z","bundle_sha256":"8c82e0330644cd5b254f3e2342041eef4d801bca1a118b37eff1c3ea539ddd48"}}