{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WRNR77LNRSW6PTDLKKJTJDOAJE","short_pith_number":"pith:WRNR77LN","canonical_record":{"source":{"id":"1709.03896","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-11T16:01:19Z","cross_cats_sorted":[],"title_canon_sha256":"2698dba7a74aa3915b92c03bd530958ae95244d7e14bdf32d6da850a4c8e25cb","abstract_canon_sha256":"75aae75fa77fa45299c0a89c8b08e98924b5de40d00c2d22c3588a80f854ec88"},"schema_version":"1.0"},"canonical_sha256":"b45b1ffd6d8cade7cc6b5293348dc04929f5aad9ac852b985a07f5e42611a3d8","source":{"kind":"arxiv","id":"1709.03896","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.03896","created_at":"2026-05-18T00:16:44Z"},{"alias_kind":"arxiv_version","alias_value":"1709.03896v2","created_at":"2026-05-18T00:16:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.03896","created_at":"2026-05-18T00:16:44Z"},{"alias_kind":"pith_short_12","alias_value":"WRNR77LNRSW6","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WRNR77LNRSW6PTDL","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WRNR77LN","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WRNR77LNRSW6PTDLKKJTJDOAJE","target":"record","payload":{"canonical_record":{"source":{"id":"1709.03896","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-11T16:01:19Z","cross_cats_sorted":[],"title_canon_sha256":"2698dba7a74aa3915b92c03bd530958ae95244d7e14bdf32d6da850a4c8e25cb","abstract_canon_sha256":"75aae75fa77fa45299c0a89c8b08e98924b5de40d00c2d22c3588a80f854ec88"},"schema_version":"1.0"},"canonical_sha256":"b45b1ffd6d8cade7cc6b5293348dc04929f5aad9ac852b985a07f5e42611a3d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:44.949053Z","signature_b64":"aR5CXEZPcYDnNhIamHJLxFIpEEYDAY32HZnIfy7YrLvwlJvdaVzvTtTEnoYXUB+3XCYPVlTK4eyJUClt/iarAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b45b1ffd6d8cade7cc6b5293348dc04929f5aad9ac852b985a07f5e42611a3d8","last_reissued_at":"2026-05-18T00:16:44.948553Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:44.948553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.03896","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:16:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lth9A4/gvBi+nzyK25SaA0P7tYFeR7qbyeN7AjjqGN3jVdnsYnDOBxLazhKg5VQERtmxgd6aN52SfPUIyP/lBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T03:43:24.238304Z"},"content_sha256":"18647f6fad737bfb58a2b1ed7988579f683b39fc2c187108f56c8a4d997057bc","schema_version":"1.0","event_id":"sha256:18647f6fad737bfb58a2b1ed7988579f683b39fc2c187108f56c8a4d997057bc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WRNR77LNRSW6PTDLKKJTJDOAJE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unconditionally stable, second-order schemes for gradient-regularized, non-convex, finite-strain elasticity modeling martensitic phase transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Koki Sagiyama, Krishna Garikipati","submitted_at":"2017-09-11T16:01:19Z","abstract_excerpt":"In the setting of continuum elasticity martensitic phase transformations are characterized by a non-convex free energy density function that possesses multiple wells in strain space and includes higher-order gradient terms for regularization. Metastable martensitic microstructures, defined as solutions that are local minimizers of the total free energy, are of interest and are obtained as steady state solutions to the resulting transient formulation of Toupin's gradient elasticity at finite strain. This type of problem poses several numerical challenges including stiffness, the need for fine d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.03896","kind":"arxiv","version":2},"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":"2026-05-18T00:16:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DlzoYJhd2ye1oiDCs2tEXUhUXjn/mNG4YmRuj1mh36uLyKLhEywNtWGJ72Ft8QDo4ybRqjh0k8JVY+7s72KGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T03:43:24.238673Z"},"content_sha256":"293115a67b1b646c8589a5e62a954826b035191ec125682cb0c9de791a517de0","schema_version":"1.0","event_id":"sha256:293115a67b1b646c8589a5e62a954826b035191ec125682cb0c9de791a517de0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WRNR77LNRSW6PTDLKKJTJDOAJE/bundle.json","state_url":"https://pith.science/pith/WRNR77LNRSW6PTDLKKJTJDOAJE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WRNR77LNRSW6PTDLKKJTJDOAJE/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":"2026-06-03T03:43:24Z","links":{"resolver":"https://pith.science/pith/WRNR77LNRSW6PTDLKKJTJDOAJE","bundle":"https://pith.science/pith/WRNR77LNRSW6PTDLKKJTJDOAJE/bundle.json","state":"https://pith.science/pith/WRNR77LNRSW6PTDLKKJTJDOAJE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WRNR77LNRSW6PTDLKKJTJDOAJE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WRNR77LNRSW6PTDLKKJTJDOAJE","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":"75aae75fa77fa45299c0a89c8b08e98924b5de40d00c2d22c3588a80f854ec88","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-11T16:01:19Z","title_canon_sha256":"2698dba7a74aa3915b92c03bd530958ae95244d7e14bdf32d6da850a4c8e25cb"},"schema_version":"1.0","source":{"id":"1709.03896","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.03896","created_at":"2026-05-18T00:16:44Z"},{"alias_kind":"arxiv_version","alias_value":"1709.03896v2","created_at":"2026-05-18T00:16:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.03896","created_at":"2026-05-18T00:16:44Z"},{"alias_kind":"pith_short_12","alias_value":"WRNR77LNRSW6","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WRNR77LNRSW6PTDL","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WRNR77LN","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:293115a67b1b646c8589a5e62a954826b035191ec125682cb0c9de791a517de0","target":"graph","created_at":"2026-05-18T00:16:44Z","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":"In the setting of continuum elasticity martensitic phase transformations are characterized by a non-convex free energy density function that possesses multiple wells in strain space and includes higher-order gradient terms for regularization. Metastable martensitic microstructures, defined as solutions that are local minimizers of the total free energy, are of interest and are obtained as steady state solutions to the resulting transient formulation of Toupin's gradient elasticity at finite strain. This type of problem poses several numerical challenges including stiffness, the need for fine d","authors_text":"Koki Sagiyama, Krishna Garikipati","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-11T16:01:19Z","title":"Unconditionally stable, second-order schemes for gradient-regularized, non-convex, finite-strain elasticity modeling martensitic phase transformations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.03896","kind":"arxiv","version":2},"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":"sha256:18647f6fad737bfb58a2b1ed7988579f683b39fc2c187108f56c8a4d997057bc","target":"record","created_at":"2026-05-18T00:16:44Z","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":"75aae75fa77fa45299c0a89c8b08e98924b5de40d00c2d22c3588a80f854ec88","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-11T16:01:19Z","title_canon_sha256":"2698dba7a74aa3915b92c03bd530958ae95244d7e14bdf32d6da850a4c8e25cb"},"schema_version":"1.0","source":{"id":"1709.03896","kind":"arxiv","version":2}},"canonical_sha256":"b45b1ffd6d8cade7cc6b5293348dc04929f5aad9ac852b985a07f5e42611a3d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b45b1ffd6d8cade7cc6b5293348dc04929f5aad9ac852b985a07f5e42611a3d8","first_computed_at":"2026-05-18T00:16:44.948553Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:44.948553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aR5CXEZPcYDnNhIamHJLxFIpEEYDAY32HZnIfy7YrLvwlJvdaVzvTtTEnoYXUB+3XCYPVlTK4eyJUClt/iarAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:44.949053Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.03896","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18647f6fad737bfb58a2b1ed7988579f683b39fc2c187108f56c8a4d997057bc","sha256:293115a67b1b646c8589a5e62a954826b035191ec125682cb0c9de791a517de0"],"state_sha256":"8784ba29656f03efba4924da1133bb3bf204c6dfbaa80b6d63bb585adeb786b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sLRsKeg4HFkciIr82GFytzMUyn5GCZUh8x7XfDhIosV+m5FXzo8AIBpEJowbcF/K/mL35suuBG4KiZyODi+8Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T03:43:24.240657Z","bundle_sha256":"9cb38932fd936d4f2f7d833f73050f075c4626851309a1aef465a5aba74506e7"}}