{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:E4FGAJUJZONLYIKXDWVUT66MWF","short_pith_number":"pith:E4FGAJUJ","canonical_record":{"source":{"id":"1812.11623","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-30T22:32:19Z","cross_cats_sorted":[],"title_canon_sha256":"59e483303bb2ffcf944e03e4b29d04ec1a6270be1ca406383a1cdb7ae439aea7","abstract_canon_sha256":"5a384894645da6c027e277f2d394cfd62915c766de0d9ed87c71c4562b773f60"},"schema_version":"1.0"},"canonical_sha256":"270a602689cb9abc21571dab49fbccb1468e8c61a2e59ccd50c0616af3b51f66","source":{"kind":"arxiv","id":"1812.11623","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.11623","created_at":"2026-05-17T23:57:11Z"},{"alias_kind":"arxiv_version","alias_value":"1812.11623v1","created_at":"2026-05-17T23:57:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.11623","created_at":"2026-05-17T23:57:11Z"},{"alias_kind":"pith_short_12","alias_value":"E4FGAJUJZONL","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"E4FGAJUJZONLYIKX","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"E4FGAJUJ","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:E4FGAJUJZONLYIKXDWVUT66MWF","target":"record","payload":{"canonical_record":{"source":{"id":"1812.11623","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-30T22:32:19Z","cross_cats_sorted":[],"title_canon_sha256":"59e483303bb2ffcf944e03e4b29d04ec1a6270be1ca406383a1cdb7ae439aea7","abstract_canon_sha256":"5a384894645da6c027e277f2d394cfd62915c766de0d9ed87c71c4562b773f60"},"schema_version":"1.0"},"canonical_sha256":"270a602689cb9abc21571dab49fbccb1468e8c61a2e59ccd50c0616af3b51f66","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:11.492492Z","signature_b64":"D7y4i9yPqSfV+3REIyjyywmO5RqVXxZoRKoxXvkwZ+uoRjd5XGgETVQOLaTJ8qJiG/3CFdmlgLkkfsZxcrqwDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"270a602689cb9abc21571dab49fbccb1468e8c61a2e59ccd50c0616af3b51f66","last_reissued_at":"2026-05-17T23:57:11.492089Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:11.492089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.11623","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":"2026-05-17T23:57:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L7s89mM1IfYV3ozHVLmb7DsKrDYIks6ET57VTs1Azy8z4PQhpwXMEHPetqpn+Yld6CvtNxtAnVo1txahx1bNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:52:55.368256Z"},"content_sha256":"66403614673e3078c8f76c616bad67c449b070f59a7f65c48bae28b21742412b","schema_version":"1.0","event_id":"sha256:66403614673e3078c8f76c616bad67c449b070f59a7f65c48bae28b21742412b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:E4FGAJUJZONLYIKXDWVUT66MWF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Model for Elastic Evolution on Foliated Shapes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Dai-Ni Hsieh, Laurent Younes, Michael I. Miller, Nicolas Charon, Sylvain Arguill\\`ere","submitted_at":"2018-12-30T22:32:19Z","abstract_excerpt":"We study a shape evolution framework in which the deformation of shapes from time t to t + dt is governed by a regularized anisotropic elasticity model. More precisely, we assume that at each time shapes are infinitesimally deformed from a stress-free state to an elastic equilibrium as a result of the application of a small force. The configuration of equilibrium then becomes the new resting state for subsequent evolution. The primary motivation of this work is the modeling of slow changes in biological shapes like atrophy, where a body force applied to the volume represents the location and i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.11623","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":"2026-05-17T23:57:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jFClSVm2WUg6Ggq29qX6Oo4zSs13pOZs6dhkjsoAIbUq8/OHHFk3p2MsvjjabCKPZxRKU0Qu9x8Sy0H40npCBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:52:55.368661Z"},"content_sha256":"23a915d427ebc2db8f61cae0d21a1795e1e1395c2df6652200dcc192da173766","schema_version":"1.0","event_id":"sha256:23a915d427ebc2db8f61cae0d21a1795e1e1395c2df6652200dcc192da173766"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E4FGAJUJZONLYIKXDWVUT66MWF/bundle.json","state_url":"https://pith.science/pith/E4FGAJUJZONLYIKXDWVUT66MWF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E4FGAJUJZONLYIKXDWVUT66MWF/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":"2026-05-26T08:52:55Z","links":{"resolver":"https://pith.science/pith/E4FGAJUJZONLYIKXDWVUT66MWF","bundle":"https://pith.science/pith/E4FGAJUJZONLYIKXDWVUT66MWF/bundle.json","state":"https://pith.science/pith/E4FGAJUJZONLYIKXDWVUT66MWF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E4FGAJUJZONLYIKXDWVUT66MWF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:E4FGAJUJZONLYIKXDWVUT66MWF","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":"5a384894645da6c027e277f2d394cfd62915c766de0d9ed87c71c4562b773f60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-30T22:32:19Z","title_canon_sha256":"59e483303bb2ffcf944e03e4b29d04ec1a6270be1ca406383a1cdb7ae439aea7"},"schema_version":"1.0","source":{"id":"1812.11623","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.11623","created_at":"2026-05-17T23:57:11Z"},{"alias_kind":"arxiv_version","alias_value":"1812.11623v1","created_at":"2026-05-17T23:57:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.11623","created_at":"2026-05-17T23:57:11Z"},{"alias_kind":"pith_short_12","alias_value":"E4FGAJUJZONL","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"E4FGAJUJZONLYIKX","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"E4FGAJUJ","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:23a915d427ebc2db8f61cae0d21a1795e1e1395c2df6652200dcc192da173766","target":"graph","created_at":"2026-05-17T23:57:11Z","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 study a shape evolution framework in which the deformation of shapes from time t to t + dt is governed by a regularized anisotropic elasticity model. More precisely, we assume that at each time shapes are infinitesimally deformed from a stress-free state to an elastic equilibrium as a result of the application of a small force. The configuration of equilibrium then becomes the new resting state for subsequent evolution. The primary motivation of this work is the modeling of slow changes in biological shapes like atrophy, where a body force applied to the volume represents the location and i","authors_text":"Dai-Ni Hsieh, Laurent Younes, Michael I. Miller, Nicolas Charon, Sylvain Arguill\\`ere","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-30T22:32:19Z","title":"A Model for Elastic Evolution on Foliated Shapes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.11623","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":"sha256:66403614673e3078c8f76c616bad67c449b070f59a7f65c48bae28b21742412b","target":"record","created_at":"2026-05-17T23:57:11Z","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":"5a384894645da6c027e277f2d394cfd62915c766de0d9ed87c71c4562b773f60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-30T22:32:19Z","title_canon_sha256":"59e483303bb2ffcf944e03e4b29d04ec1a6270be1ca406383a1cdb7ae439aea7"},"schema_version":"1.0","source":{"id":"1812.11623","kind":"arxiv","version":1}},"canonical_sha256":"270a602689cb9abc21571dab49fbccb1468e8c61a2e59ccd50c0616af3b51f66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"270a602689cb9abc21571dab49fbccb1468e8c61a2e59ccd50c0616af3b51f66","first_computed_at":"2026-05-17T23:57:11.492089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:11.492089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D7y4i9yPqSfV+3REIyjyywmO5RqVXxZoRKoxXvkwZ+uoRjd5XGgETVQOLaTJ8qJiG/3CFdmlgLkkfsZxcrqwDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:11.492492Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.11623","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66403614673e3078c8f76c616bad67c449b070f59a7f65c48bae28b21742412b","sha256:23a915d427ebc2db8f61cae0d21a1795e1e1395c2df6652200dcc192da173766"],"state_sha256":"33f3bad5d5161c84bca0da3e02f1fa5be58611339039be53d1905d005afedca6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9dNi966wwySdeIcQnUIL49QQaR5LbQyXRIxITOvFLEu4UhALIj9wxgbz9KhQmSgG/dZkNGOcYynAjJ4+1KBdDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T08:52:55.371719Z","bundle_sha256":"1bb04c5ba6ae0ac2c1d9be33a51c201d2b6e7a842f1526f5748a988f346b232c"}}