{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:COTU5CGQ5VL3ELL7MZ7KUGUCOD","short_pith_number":"pith:COTU5CGQ","canonical_record":{"source":{"id":"1812.03653","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-10T07:26:28Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"8c8f4fc61010a0d04d5bfdf6e467e04bf5007f82216ab6fb36f13baf65138080","abstract_canon_sha256":"0d14bd40a94733294c30c6b2377d886a3d1ec7b766746f69da136cf0a87e0e62"},"schema_version":"1.0"},"canonical_sha256":"13a74e88d0ed57b22d7f667eaa1a8270e839b0d47e5d58539594bd6918872924","source":{"kind":"arxiv","id":"1812.03653","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.03653","created_at":"2026-05-17T23:58:44Z"},{"alias_kind":"arxiv_version","alias_value":"1812.03653v1","created_at":"2026-05-17T23:58:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.03653","created_at":"2026-05-17T23:58:44Z"},{"alias_kind":"pith_short_12","alias_value":"COTU5CGQ5VL3","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"COTU5CGQ5VL3ELL7","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"COTU5CGQ","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:COTU5CGQ5VL3ELL7MZ7KUGUCOD","target":"record","payload":{"canonical_record":{"source":{"id":"1812.03653","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-10T07:26:28Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"8c8f4fc61010a0d04d5bfdf6e467e04bf5007f82216ab6fb36f13baf65138080","abstract_canon_sha256":"0d14bd40a94733294c30c6b2377d886a3d1ec7b766746f69da136cf0a87e0e62"},"schema_version":"1.0"},"canonical_sha256":"13a74e88d0ed57b22d7f667eaa1a8270e839b0d47e5d58539594bd6918872924","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:44.220819Z","signature_b64":"/NbzZA98WXJG2FIhaapZfOW60rkOjxfxsR2maLF6tm+XViLIfP016udX+JnVnY1ihLJir7vvG/4JhgidcfjjCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13a74e88d0ed57b22d7f667eaa1a8270e839b0d47e5d58539594bd6918872924","last_reissued_at":"2026-05-17T23:58:44.220281Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:44.220281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.03653","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":"2026-05-17T23:58:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6SbgpADZzmU3qBsXmafyZ9XHiPAqS2zOy1u93EXc2B83U8uKXbvPG8MIK/Yn32ty+aw+WxbQQ8EpOiqZvVUdBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T20:00:46.664299Z"},"content_sha256":"ee673c1f8cac55155b75ebb030184de9c21bd97339221fbc3e88c4fcabb15b86","schema_version":"1.0","event_id":"sha256:ee673c1f8cac55155b75ebb030184de9c21bd97339221fbc3e88c4fcabb15b86"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:COTU5CGQ5VL3ELL7MZ7KUGUCOD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analysis of the error in constitutive equation approach for time-harmonic elasticity imaging","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"math.AP","authors_text":"Marc Bonnet (POEMS), Wilkins Aquino","submitted_at":"2018-12-10T07:26:28Z","abstract_excerpt":"We consider the identification of heterogeneous linear elastic moduli in the context of time-harmonic elastodynamics. This inverse problem is formulated as the minimization of the modified error in constitutive equation (MECE), an energy-based cost functional defined as an weighted additive combination $\\mathcal{E}+\\kappa\\mathcal{D}$ of the error in constitutive equation (ECE) $\\mathcal{E}$, expressed using an energy seminorm, and a quadratic error term $\\mathcal{D}$ incorporating the kinematical measurements. MECE-based identification are known from existing computational evidence to enjoy at"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03653","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":"2026-05-17T23:58:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bo0SFxa07u++f6AkQgf4IknxgDvU67talN+iRz/vA8gYE7L/uIQcGMPjCrt3IqOUrn+Xw7KTEi9PIQLCQO11Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T20:00:46.664664Z"},"content_sha256":"c31890229ed0734f5e07041a7c696cf9c7b463575c85b7fffe9804587d6b8780","schema_version":"1.0","event_id":"sha256:c31890229ed0734f5e07041a7c696cf9c7b463575c85b7fffe9804587d6b8780"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/COTU5CGQ5VL3ELL7MZ7KUGUCOD/bundle.json","state_url":"https://pith.science/pith/COTU5CGQ5VL3ELL7MZ7KUGUCOD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/COTU5CGQ5VL3ELL7MZ7KUGUCOD/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":"2026-06-23T20:00:46Z","links":{"resolver":"https://pith.science/pith/COTU5CGQ5VL3ELL7MZ7KUGUCOD","bundle":"https://pith.science/pith/COTU5CGQ5VL3ELL7MZ7KUGUCOD/bundle.json","state":"https://pith.science/pith/COTU5CGQ5VL3ELL7MZ7KUGUCOD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/COTU5CGQ5VL3ELL7MZ7KUGUCOD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:COTU5CGQ5VL3ELL7MZ7KUGUCOD","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":"0d14bd40a94733294c30c6b2377d886a3d1ec7b766746f69da136cf0a87e0e62","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-10T07:26:28Z","title_canon_sha256":"8c8f4fc61010a0d04d5bfdf6e467e04bf5007f82216ab6fb36f13baf65138080"},"schema_version":"1.0","source":{"id":"1812.03653","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.03653","created_at":"2026-05-17T23:58:44Z"},{"alias_kind":"arxiv_version","alias_value":"1812.03653v1","created_at":"2026-05-17T23:58:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.03653","created_at":"2026-05-17T23:58:44Z"},{"alias_kind":"pith_short_12","alias_value":"COTU5CGQ5VL3","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"COTU5CGQ5VL3ELL7","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"COTU5CGQ","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:c31890229ed0734f5e07041a7c696cf9c7b463575c85b7fffe9804587d6b8780","target":"graph","created_at":"2026-05-17T23:58:44Z","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":"We consider the identification of heterogeneous linear elastic moduli in the context of time-harmonic elastodynamics. This inverse problem is formulated as the minimization of the modified error in constitutive equation (MECE), an energy-based cost functional defined as an weighted additive combination $\\mathcal{E}+\\kappa\\mathcal{D}$ of the error in constitutive equation (ECE) $\\mathcal{E}$, expressed using an energy seminorm, and a quadratic error term $\\mathcal{D}$ incorporating the kinematical measurements. MECE-based identification are known from existing computational evidence to enjoy at","authors_text":"Marc Bonnet (POEMS), Wilkins Aquino","cross_cats":["physics.class-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-10T07:26:28Z","title":"Analysis of the error in constitutive equation approach for time-harmonic elasticity imaging"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03653","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:ee673c1f8cac55155b75ebb030184de9c21bd97339221fbc3e88c4fcabb15b86","target":"record","created_at":"2026-05-17T23:58:44Z","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":"0d14bd40a94733294c30c6b2377d886a3d1ec7b766746f69da136cf0a87e0e62","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-10T07:26:28Z","title_canon_sha256":"8c8f4fc61010a0d04d5bfdf6e467e04bf5007f82216ab6fb36f13baf65138080"},"schema_version":"1.0","source":{"id":"1812.03653","kind":"arxiv","version":1}},"canonical_sha256":"13a74e88d0ed57b22d7f667eaa1a8270e839b0d47e5d58539594bd6918872924","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13a74e88d0ed57b22d7f667eaa1a8270e839b0d47e5d58539594bd6918872924","first_computed_at":"2026-05-17T23:58:44.220281Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:44.220281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/NbzZA98WXJG2FIhaapZfOW60rkOjxfxsR2maLF6tm+XViLIfP016udX+JnVnY1ihLJir7vvG/4JhgidcfjjCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:44.220819Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.03653","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee673c1f8cac55155b75ebb030184de9c21bd97339221fbc3e88c4fcabb15b86","sha256:c31890229ed0734f5e07041a7c696cf9c7b463575c85b7fffe9804587d6b8780"],"state_sha256":"22f731eb3ac4c3521d9c18ee3e0a7e99c4292e3c9f87b5cbd4053c92d13283c0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gadbrzm53Mr8LF8c7XxTN4KOQqwa/x2sf5ILUVqt6Eu0thyATfGdF0ag8fG+IDm9ynoS+Yk1emYWoMabx6tYBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T20:00:46.666548Z","bundle_sha256":"86139f3311cd0029643d506e058274c3f77fddf7fe07b91f7aec45f5e001e403"}}