{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:U5OSZR6ACP2V6DXUZFP4ELBXRM","short_pith_number":"pith:U5OSZR6A","canonical_record":{"source":{"id":"1403.4877","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-19T16:50:20Z","cross_cats_sorted":[],"title_canon_sha256":"378bc03f11f85c46132d78043fa1b49e63acf2329f1e0ad174eeefda46eabbaf","abstract_canon_sha256":"653c0b304fa4632dd16840bda82f90abce72e42456f8ce308f27e33bfba46d43"},"schema_version":"1.0"},"canonical_sha256":"a75d2cc7c013f55f0ef4c95fc22c378b1462310bc0d548306234e0842849d770","source":{"kind":"arxiv","id":"1403.4877","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4877","created_at":"2026-05-18T00:59:35Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4877v1","created_at":"2026-05-18T00:59:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4877","created_at":"2026-05-18T00:59:35Z"},{"alias_kind":"pith_short_12","alias_value":"U5OSZR6ACP2V","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"U5OSZR6ACP2V6DXU","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"U5OSZR6A","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:U5OSZR6ACP2V6DXUZFP4ELBXRM","target":"record","payload":{"canonical_record":{"source":{"id":"1403.4877","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-19T16:50:20Z","cross_cats_sorted":[],"title_canon_sha256":"378bc03f11f85c46132d78043fa1b49e63acf2329f1e0ad174eeefda46eabbaf","abstract_canon_sha256":"653c0b304fa4632dd16840bda82f90abce72e42456f8ce308f27e33bfba46d43"},"schema_version":"1.0"},"canonical_sha256":"a75d2cc7c013f55f0ef4c95fc22c378b1462310bc0d548306234e0842849d770","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:35.008544Z","signature_b64":"5ua3EMXTLlb8d40ViWn/zROpcC5ilihIp0NAQqo00Dt1ZcdyVXmbDrZq9gnEMVMQ2WfUvw8p9q9DbYv88+fwDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a75d2cc7c013f55f0ef4c95fc22c378b1462310bc0d548306234e0842849d770","last_reissued_at":"2026-05-18T00:59:35.007953Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:35.007953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.4877","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":"2026-05-18T00:59:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ht0LzazJRDQd9e4jQBiJIVRg2PwxSJL4nnhXAPFs1CvOXP6tBECeX/lDvIMAf20J64cCuI0GJKksaeX+oRNYAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:57:47.701235Z"},"content_sha256":"827a0eb7e294b3258f87ef9be41def09c206e808e98925a9002c3bd2f4fa1100","schema_version":"1.0","event_id":"sha256:827a0eb7e294b3258f87ef9be41def09c206e808e98925a9002c3bd2f4fa1100"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:U5OSZR6ACP2V6DXUZFP4ELBXRM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relaxation of a model energy for the cubic to tetragonal phase transformation in two dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Georg Dolzmann, Sergio Conti","submitted_at":"2014-03-19T16:50:20Z","abstract_excerpt":"We consider a two-dimensional problem in nonlinear elasticity which corresponds to the cubic-to-tetragonal phase transformation. Our model is frame invariant and the energy density is given by the squared distance from two potential wells. We obtain the quasiconvex envelope of the energy density and therefore the relaxation of the variational problem. Our result includes the constraint of positive determinant."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4877","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":"2026-05-18T00:59:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OYdQAq7KdcSSpN1xzMzDdb/G4f0xcyTN0B2X2AsN4hiG6dGmGtN6luUQjbbhB0ppnO003AzRuDHrUW4LanwgCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:57:47.701644Z"},"content_sha256":"b38311bf41f58540fac9f4c77510ecd6e41d782c99755d64614b2d96c0612797","schema_version":"1.0","event_id":"sha256:b38311bf41f58540fac9f4c77510ecd6e41d782c99755d64614b2d96c0612797"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U5OSZR6ACP2V6DXUZFP4ELBXRM/bundle.json","state_url":"https://pith.science/pith/U5OSZR6ACP2V6DXUZFP4ELBXRM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U5OSZR6ACP2V6DXUZFP4ELBXRM/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":"2026-05-28T21:57:47Z","links":{"resolver":"https://pith.science/pith/U5OSZR6ACP2V6DXUZFP4ELBXRM","bundle":"https://pith.science/pith/U5OSZR6ACP2V6DXUZFP4ELBXRM/bundle.json","state":"https://pith.science/pith/U5OSZR6ACP2V6DXUZFP4ELBXRM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U5OSZR6ACP2V6DXUZFP4ELBXRM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:U5OSZR6ACP2V6DXUZFP4ELBXRM","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":"653c0b304fa4632dd16840bda82f90abce72e42456f8ce308f27e33bfba46d43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-19T16:50:20Z","title_canon_sha256":"378bc03f11f85c46132d78043fa1b49e63acf2329f1e0ad174eeefda46eabbaf"},"schema_version":"1.0","source":{"id":"1403.4877","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4877","created_at":"2026-05-18T00:59:35Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4877v1","created_at":"2026-05-18T00:59:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4877","created_at":"2026-05-18T00:59:35Z"},{"alias_kind":"pith_short_12","alias_value":"U5OSZR6ACP2V","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"U5OSZR6ACP2V6DXU","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"U5OSZR6A","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:b38311bf41f58540fac9f4c77510ecd6e41d782c99755d64614b2d96c0612797","target":"graph","created_at":"2026-05-18T00:59:35Z","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 a two-dimensional problem in nonlinear elasticity which corresponds to the cubic-to-tetragonal phase transformation. Our model is frame invariant and the energy density is given by the squared distance from two potential wells. We obtain the quasiconvex envelope of the energy density and therefore the relaxation of the variational problem. Our result includes the constraint of positive determinant.","authors_text":"Georg Dolzmann, Sergio Conti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-19T16:50:20Z","title":"Relaxation of a model energy for the cubic to tetragonal phase transformation in two dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4877","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":"sha256:827a0eb7e294b3258f87ef9be41def09c206e808e98925a9002c3bd2f4fa1100","target":"record","created_at":"2026-05-18T00:59:35Z","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":"653c0b304fa4632dd16840bda82f90abce72e42456f8ce308f27e33bfba46d43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-19T16:50:20Z","title_canon_sha256":"378bc03f11f85c46132d78043fa1b49e63acf2329f1e0ad174eeefda46eabbaf"},"schema_version":"1.0","source":{"id":"1403.4877","kind":"arxiv","version":1}},"canonical_sha256":"a75d2cc7c013f55f0ef4c95fc22c378b1462310bc0d548306234e0842849d770","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a75d2cc7c013f55f0ef4c95fc22c378b1462310bc0d548306234e0842849d770","first_computed_at":"2026-05-18T00:59:35.007953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:35.007953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5ua3EMXTLlb8d40ViWn/zROpcC5ilihIp0NAQqo00Dt1ZcdyVXmbDrZq9gnEMVMQ2WfUvw8p9q9DbYv88+fwDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:35.008544Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.4877","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:827a0eb7e294b3258f87ef9be41def09c206e808e98925a9002c3bd2f4fa1100","sha256:b38311bf41f58540fac9f4c77510ecd6e41d782c99755d64614b2d96c0612797"],"state_sha256":"ed83038a15632c686504ad1fcd1dc6d39e61ad1003078377b29f97141b4e141f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Xx0Urbv/wGYOpiU21FGAegHaVppfjqpnZcb95uENd3sh+tCXj5jcqP/hJDD+777B1jkiD/mYFfjRg4T5+o7Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T21:57:47.703796Z","bundle_sha256":"f36675355d595614a00be9ee08e3683aaec925daf95bc239230b6d0d7f5b1377"}}