{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:EUTGBEAWIF3S7JM5J2ZC77WVVS","short_pith_number":"pith:EUTGBEAW","canonical_record":{"source":{"id":"1505.07248","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-27T09:57:02Z","cross_cats_sorted":[],"title_canon_sha256":"4a97d525b071d025e2006979600aeac84afde9bf66bca9a8ee3b368abb3c7b20","abstract_canon_sha256":"be4b39156a8689043632eb29b45f6d9c154cb24733403bd55ff358edccb9e77e"},"schema_version":"1.0"},"canonical_sha256":"252660901641772fa59d4eb22ffed5acab4d84a04e7e453aa7dfa17b52406b35","source":{"kind":"arxiv","id":"1505.07248","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07248","created_at":"2026-05-18T02:02:05Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07248v1","created_at":"2026-05-18T02:02:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07248","created_at":"2026-05-18T02:02:05Z"},{"alias_kind":"pith_short_12","alias_value":"EUTGBEAWIF3S","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EUTGBEAWIF3S7JM5","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EUTGBEAW","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:EUTGBEAWIF3S7JM5J2ZC77WVVS","target":"record","payload":{"canonical_record":{"source":{"id":"1505.07248","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-27T09:57:02Z","cross_cats_sorted":[],"title_canon_sha256":"4a97d525b071d025e2006979600aeac84afde9bf66bca9a8ee3b368abb3c7b20","abstract_canon_sha256":"be4b39156a8689043632eb29b45f6d9c154cb24733403bd55ff358edccb9e77e"},"schema_version":"1.0"},"canonical_sha256":"252660901641772fa59d4eb22ffed5acab4d84a04e7e453aa7dfa17b52406b35","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:05.212010Z","signature_b64":"m6G7nfhqKz0kkAyTIEr5IkHAgQBPZkajQI8EEkn81t/XnXGjgMFyrb1oDmvqhVd62rMmNz5Vf7iWd5SQ3C8KBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"252660901641772fa59d4eb22ffed5acab4d84a04e7e453aa7dfa17b52406b35","last_reissued_at":"2026-05-18T02:02:05.211296Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:05.211296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.07248","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":"2026-05-18T02:02:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WPyiO8qEMQkLrhNOp16XIYWwhBTBYOMgG6ZBBNl7RVj56rGaUhCuvIxvIGjdhCnd/OZtl5nLpjnqYiVZKL+XAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:37:19.937154Z"},"content_sha256":"d6796008a670cb82b60e5230de2ceaf0e37bdf0b0695794ea8bc9b25dab7d16b","schema_version":"1.0","event_id":"sha256:d6796008a670cb82b60e5230de2ceaf0e37bdf0b0695794ea8bc9b25dab7d16b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:EUTGBEAWIF3S7JM5J2ZC77WVVS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Logarithmic stability in determining a boundary coefficient in an ibvp for the wave equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kais Ammari (FSM), Mourad Choulli (IECL)","submitted_at":"2015-05-27T09:57:02Z","abstract_excerpt":"In [2] we introduced a method combining together an observability inequality and a spectral decomposition to get a logarithmic stability estimate for the inverse problem of determining both the potential and the damping coefficient in a dissipative wave equation from boundary measurements. The present work deals with an adaptation of that method to obtain a logarithmic stability estimate for the inverse problem of determining a boundary damping coefficient from boundary measurements. As in our preceding work, the different boundary measurements are generated by varying one of the initial condi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07248","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":"2026-05-18T02:02:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tSRb7wVva+EoXSMGVun3S+CVaIlAPJwma2QjXHIzNUYkXOehTfvVKy3pvnAwi8SICWm+rzr5i3i1q6NxY5I0Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:37:19.937528Z"},"content_sha256":"3a4d9319c319e7d2d1ed4bbe243441772ee54c1f0ee556575b346c7e04e0c029","schema_version":"1.0","event_id":"sha256:3a4d9319c319e7d2d1ed4bbe243441772ee54c1f0ee556575b346c7e04e0c029"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EUTGBEAWIF3S7JM5J2ZC77WVVS/bundle.json","state_url":"https://pith.science/pith/EUTGBEAWIF3S7JM5J2ZC77WVVS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EUTGBEAWIF3S7JM5J2ZC77WVVS/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":"2026-06-03T15:37:19Z","links":{"resolver":"https://pith.science/pith/EUTGBEAWIF3S7JM5J2ZC77WVVS","bundle":"https://pith.science/pith/EUTGBEAWIF3S7JM5J2ZC77WVVS/bundle.json","state":"https://pith.science/pith/EUTGBEAWIF3S7JM5J2ZC77WVVS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EUTGBEAWIF3S7JM5J2ZC77WVVS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EUTGBEAWIF3S7JM5J2ZC77WVVS","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":"be4b39156a8689043632eb29b45f6d9c154cb24733403bd55ff358edccb9e77e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-27T09:57:02Z","title_canon_sha256":"4a97d525b071d025e2006979600aeac84afde9bf66bca9a8ee3b368abb3c7b20"},"schema_version":"1.0","source":{"id":"1505.07248","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07248","created_at":"2026-05-18T02:02:05Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07248v1","created_at":"2026-05-18T02:02:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07248","created_at":"2026-05-18T02:02:05Z"},{"alias_kind":"pith_short_12","alias_value":"EUTGBEAWIF3S","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EUTGBEAWIF3S7JM5","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EUTGBEAW","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:3a4d9319c319e7d2d1ed4bbe243441772ee54c1f0ee556575b346c7e04e0c029","target":"graph","created_at":"2026-05-18T02:02:05Z","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 [2] we introduced a method combining together an observability inequality and a spectral decomposition to get a logarithmic stability estimate for the inverse problem of determining both the potential and the damping coefficient in a dissipative wave equation from boundary measurements. The present work deals with an adaptation of that method to obtain a logarithmic stability estimate for the inverse problem of determining a boundary damping coefficient from boundary measurements. As in our preceding work, the different boundary measurements are generated by varying one of the initial condi","authors_text":"Kais Ammari (FSM), Mourad Choulli (IECL)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-27T09:57:02Z","title":"Logarithmic stability in determining a boundary coefficient in an ibvp for the wave equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07248","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:d6796008a670cb82b60e5230de2ceaf0e37bdf0b0695794ea8bc9b25dab7d16b","target":"record","created_at":"2026-05-18T02:02:05Z","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":"be4b39156a8689043632eb29b45f6d9c154cb24733403bd55ff358edccb9e77e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-27T09:57:02Z","title_canon_sha256":"4a97d525b071d025e2006979600aeac84afde9bf66bca9a8ee3b368abb3c7b20"},"schema_version":"1.0","source":{"id":"1505.07248","kind":"arxiv","version":1}},"canonical_sha256":"252660901641772fa59d4eb22ffed5acab4d84a04e7e453aa7dfa17b52406b35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"252660901641772fa59d4eb22ffed5acab4d84a04e7e453aa7dfa17b52406b35","first_computed_at":"2026-05-18T02:02:05.211296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:05.211296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m6G7nfhqKz0kkAyTIEr5IkHAgQBPZkajQI8EEkn81t/XnXGjgMFyrb1oDmvqhVd62rMmNz5Vf7iWd5SQ3C8KBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:05.212010Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.07248","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6796008a670cb82b60e5230de2ceaf0e37bdf0b0695794ea8bc9b25dab7d16b","sha256:3a4d9319c319e7d2d1ed4bbe243441772ee54c1f0ee556575b346c7e04e0c029"],"state_sha256":"c255bd6dffcea7fc53cb9e4b93c09b3995fb3bc336b13b70dcd5aadb68110686"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DnYYza3OeoBrs5El8cfaWThISnt1f5qjdGXh0lC8IyFoTl7WPut4+2d3hvJGlg+dEyi57OdrC44lQgRsxe7TAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T15:37:19.941216Z","bundle_sha256":"71550777b371b3e316f84bb93f620071830a2fb58deb4ee5a1d961b3cfeb58ed"}}