{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CUAUKJ3FSHR23C5OH236UFSJ34","short_pith_number":"pith:CUAUKJ3F","canonical_record":{"source":{"id":"1501.06985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-28T04:39:12Z","cross_cats_sorted":[],"title_canon_sha256":"ce05640e63f8fc6ec025b8eeabcba579221097356742bd9d787ce51e60b367b0","abstract_canon_sha256":"54dcbad5cbabd619042888efb439bb6bc503ef82dccadaea6923417a75412e34"},"schema_version":"1.0"},"canonical_sha256":"150145276591e3ad8bae3eb7ea1649df2446acc2589e044e8f696eefd4f88370","source":{"kind":"arxiv","id":"1501.06985","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06985","created_at":"2026-05-18T02:28:30Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06985v1","created_at":"2026-05-18T02:28:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06985","created_at":"2026-05-18T02:28:30Z"},{"alias_kind":"pith_short_12","alias_value":"CUAUKJ3FSHR2","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CUAUKJ3FSHR23C5O","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CUAUKJ3F","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CUAUKJ3FSHR23C5OH236UFSJ34","target":"record","payload":{"canonical_record":{"source":{"id":"1501.06985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-28T04:39:12Z","cross_cats_sorted":[],"title_canon_sha256":"ce05640e63f8fc6ec025b8eeabcba579221097356742bd9d787ce51e60b367b0","abstract_canon_sha256":"54dcbad5cbabd619042888efb439bb6bc503ef82dccadaea6923417a75412e34"},"schema_version":"1.0"},"canonical_sha256":"150145276591e3ad8bae3eb7ea1649df2446acc2589e044e8f696eefd4f88370","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:30.640064Z","signature_b64":"3eq1m8H70Q5Eunze9hQMlBKQ4DLm2Vdd8IQvBXm5vJmKTMdzawDVlBmLrORGZlCwTSbbg2AMuCyvlReRUo8IAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"150145276591e3ad8bae3eb7ea1649df2446acc2589e044e8f696eefd4f88370","last_reissued_at":"2026-05-18T02:28:30.639428Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:30.639428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.06985","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":"2026-05-18T02:28:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UjGJcMEi/2ZeM/iY3Yavmpj9QoRscuUxKvWStu8jKvl7NaP1UmlxmiXB9yy4lg/IRrFvnqpKbsdRw8YU0VVgAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T07:14:00.276781Z"},"content_sha256":"cfff2fb12f008791233d20a0364a763b81705bb3feff5fbffc91b056ceea3bed","schema_version":"1.0","event_id":"sha256:cfff2fb12f008791233d20a0364a763b81705bb3feff5fbffc91b056ceea3bed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CUAUKJ3FSHR23C5OH236UFSJ34","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotic analysis of hierarchical martensitic microstructure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Marcel Porta, Pierluigi Cesana, Turab Lookman","submitted_at":"2015-01-28T04:39:12Z","abstract_excerpt":"We consider a hierarchical nested microstructure, which also contains a point of singularity (disclination) at the origin, observed in lead orthovanadate. We show how to exactly compute the energy cost and associated displacement field within linearized elasticity by enforcing geometric compatibility of strains across interfaces of the three-phase mixture of distortions (variants) in the microstructure. We prove that the mechanical deformation is purely elastic and discuss the behavior of the system close to the origin."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06985","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":"2026-05-18T02:28:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pp7U7LHzVK0RJNBCQUpQEYBxbVYMcqEfhby4woeQZrmlkiHfgZ4ems2HZ6lacXD3v0ywJPLGcdBik9eiALBfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T07:14:00.277441Z"},"content_sha256":"70eb11cb89e7f8a16f724af3dd7445ec6e8c2a6829db9d0e1bf58e2ed7a54c28","schema_version":"1.0","event_id":"sha256:70eb11cb89e7f8a16f724af3dd7445ec6e8c2a6829db9d0e1bf58e2ed7a54c28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CUAUKJ3FSHR23C5OH236UFSJ34/bundle.json","state_url":"https://pith.science/pith/CUAUKJ3FSHR23C5OH236UFSJ34/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CUAUKJ3FSHR23C5OH236UFSJ34/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":"2026-06-10T07:14:00Z","links":{"resolver":"https://pith.science/pith/CUAUKJ3FSHR23C5OH236UFSJ34","bundle":"https://pith.science/pith/CUAUKJ3FSHR23C5OH236UFSJ34/bundle.json","state":"https://pith.science/pith/CUAUKJ3FSHR23C5OH236UFSJ34/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CUAUKJ3FSHR23C5OH236UFSJ34/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CUAUKJ3FSHR23C5OH236UFSJ34","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":"54dcbad5cbabd619042888efb439bb6bc503ef82dccadaea6923417a75412e34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-28T04:39:12Z","title_canon_sha256":"ce05640e63f8fc6ec025b8eeabcba579221097356742bd9d787ce51e60b367b0"},"schema_version":"1.0","source":{"id":"1501.06985","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06985","created_at":"2026-05-18T02:28:30Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06985v1","created_at":"2026-05-18T02:28:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06985","created_at":"2026-05-18T02:28:30Z"},{"alias_kind":"pith_short_12","alias_value":"CUAUKJ3FSHR2","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CUAUKJ3FSHR23C5O","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CUAUKJ3F","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:70eb11cb89e7f8a16f724af3dd7445ec6e8c2a6829db9d0e1bf58e2ed7a54c28","target":"graph","created_at":"2026-05-18T02:28:30Z","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 hierarchical nested microstructure, which also contains a point of singularity (disclination) at the origin, observed in lead orthovanadate. We show how to exactly compute the energy cost and associated displacement field within linearized elasticity by enforcing geometric compatibility of strains across interfaces of the three-phase mixture of distortions (variants) in the microstructure. We prove that the mechanical deformation is purely elastic and discuss the behavior of the system close to the origin.","authors_text":"Marcel Porta, Pierluigi Cesana, Turab Lookman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-28T04:39:12Z","title":"Asymptotic analysis of hierarchical martensitic microstructure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06985","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:cfff2fb12f008791233d20a0364a763b81705bb3feff5fbffc91b056ceea3bed","target":"record","created_at":"2026-05-18T02:28:30Z","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":"54dcbad5cbabd619042888efb439bb6bc503ef82dccadaea6923417a75412e34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-28T04:39:12Z","title_canon_sha256":"ce05640e63f8fc6ec025b8eeabcba579221097356742bd9d787ce51e60b367b0"},"schema_version":"1.0","source":{"id":"1501.06985","kind":"arxiv","version":1}},"canonical_sha256":"150145276591e3ad8bae3eb7ea1649df2446acc2589e044e8f696eefd4f88370","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"150145276591e3ad8bae3eb7ea1649df2446acc2589e044e8f696eefd4f88370","first_computed_at":"2026-05-18T02:28:30.639428Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:30.639428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3eq1m8H70Q5Eunze9hQMlBKQ4DLm2Vdd8IQvBXm5vJmKTMdzawDVlBmLrORGZlCwTSbbg2AMuCyvlReRUo8IAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:30.640064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.06985","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cfff2fb12f008791233d20a0364a763b81705bb3feff5fbffc91b056ceea3bed","sha256:70eb11cb89e7f8a16f724af3dd7445ec6e8c2a6829db9d0e1bf58e2ed7a54c28"],"state_sha256":"b2d7b1f946d2fa383aa49e30f511d0aec57a2b4d920f1efa995560851e9f4b24"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jgIBgztj2WLjA5VWlJjoq4kGpkvsdYF/uzCu/86ddLJZPQnWEFv52kH2qDMVRVvxSySV6KJkeVFsWNomHfOkBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T07:14:00.281227Z","bundle_sha256":"4d71dbe737add1be31da93a16a07fa2baa7d4870b9c4705a0d8bf7426ad2b249"}}