{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:MQVUO7OQDQC7M6I7HLKSTOJPGA","short_pith_number":"pith:MQVUO7OQ","canonical_record":{"source":{"id":"1411.1295","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-05T15:22:13Z","cross_cats_sorted":[],"title_canon_sha256":"5d11db5a457bac796f564cba1547ffee56226458d664a43601533637b3278c1b","abstract_canon_sha256":"46d4bc7a2936281501721e834133c2b4bec54aeea856b1fed27025a4a7efdeea"},"schema_version":"1.0"},"canonical_sha256":"642b477dd01c05f6791f3ad529b92f3034a8d6607d3ce115e0fb4886fa520757","source":{"kind":"arxiv","id":"1411.1295","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.1295","created_at":"2026-05-18T02:38:35Z"},{"alias_kind":"arxiv_version","alias_value":"1411.1295v1","created_at":"2026-05-18T02:38:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.1295","created_at":"2026-05-18T02:38:35Z"},{"alias_kind":"pith_short_12","alias_value":"MQVUO7OQDQC7","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MQVUO7OQDQC7M6I7","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MQVUO7OQ","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:MQVUO7OQDQC7M6I7HLKSTOJPGA","target":"record","payload":{"canonical_record":{"source":{"id":"1411.1295","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-05T15:22:13Z","cross_cats_sorted":[],"title_canon_sha256":"5d11db5a457bac796f564cba1547ffee56226458d664a43601533637b3278c1b","abstract_canon_sha256":"46d4bc7a2936281501721e834133c2b4bec54aeea856b1fed27025a4a7efdeea"},"schema_version":"1.0"},"canonical_sha256":"642b477dd01c05f6791f3ad529b92f3034a8d6607d3ce115e0fb4886fa520757","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:35.815356Z","signature_b64":"26mtkJL4w7AunNKp0dnym+LfJPkGpVU4+aPEtRURJv9XAFrMRzT7gIT4RK2PO3nacIao+/F5rY5KoPXv3f+QBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"642b477dd01c05f6791f3ad529b92f3034a8d6607d3ce115e0fb4886fa520757","last_reissued_at":"2026-05-18T02:38:35.814760Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:35.814760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.1295","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":"2026-05-18T02:38:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0BHDE4rQQi5TbLkxs9IJP6DLh7drs4HxwLlECzDZ+0c7l/ozczhhBJpyfMq7inL1LLSAqUN0iRlRD4l+dJ6LBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T14:47:15.205809Z"},"content_sha256":"ebb721f4623ef042c64cdf029e9e62523f4d788eec5e46f384494908e38f1375","schema_version":"1.0","event_id":"sha256:ebb721f4623ef042c64cdf029e9e62523f4d788eec5e46f384494908e38f1375"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:MQVUO7OQDQC7M6I7HLKSTOJPGA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Well-posedness for dislocation based gradient visco-plasticity with isotropic hardening","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Krzysztof Che{\\l}mi\\'nski, Nataliya Kraynyukova, Patrizio Neff, Sergiy Nesenenko","submitted_at":"2014-11-05T15:22:13Z","abstract_excerpt":"In this work we establish the well-posedness for infinitesimal dislocation based gradient viscoplasticity with isotropic hardening for general gradient monotone plastic flows. We assume an additive split of the displacement gradient into non-symmetric elastic distortion and non-symmetric plastic distortion. The thermodynamic potential is augmented with a term taking the dislocation density tensor $\\operatorname{Curl} p$ into account. The constitutive equations in the models we study are assumed to be of self-controlling type. Based on the generalized version of Korn's inequality for incompatib"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1295","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":"2026-05-18T02:38:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eF2Dq1Brrz0II5fcy1Ss/BbgNs+I54U+P6kJh7AVKtk8fu9gfaukYYqIBp/LK/RL336Lb+Gb+4drwaxxoFFcCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T14:47:15.206156Z"},"content_sha256":"85ced19832df1e752fd54cbc056e72de95e046acb57da24f18b4836a276fd33a","schema_version":"1.0","event_id":"sha256:85ced19832df1e752fd54cbc056e72de95e046acb57da24f18b4836a276fd33a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MQVUO7OQDQC7M6I7HLKSTOJPGA/bundle.json","state_url":"https://pith.science/pith/MQVUO7OQDQC7M6I7HLKSTOJPGA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MQVUO7OQDQC7M6I7HLKSTOJPGA/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":"2026-06-25T14:47:15Z","links":{"resolver":"https://pith.science/pith/MQVUO7OQDQC7M6I7HLKSTOJPGA","bundle":"https://pith.science/pith/MQVUO7OQDQC7M6I7HLKSTOJPGA/bundle.json","state":"https://pith.science/pith/MQVUO7OQDQC7M6I7HLKSTOJPGA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MQVUO7OQDQC7M6I7HLKSTOJPGA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MQVUO7OQDQC7M6I7HLKSTOJPGA","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":"46d4bc7a2936281501721e834133c2b4bec54aeea856b1fed27025a4a7efdeea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-05T15:22:13Z","title_canon_sha256":"5d11db5a457bac796f564cba1547ffee56226458d664a43601533637b3278c1b"},"schema_version":"1.0","source":{"id":"1411.1295","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.1295","created_at":"2026-05-18T02:38:35Z"},{"alias_kind":"arxiv_version","alias_value":"1411.1295v1","created_at":"2026-05-18T02:38:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.1295","created_at":"2026-05-18T02:38:35Z"},{"alias_kind":"pith_short_12","alias_value":"MQVUO7OQDQC7","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MQVUO7OQDQC7M6I7","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MQVUO7OQ","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:85ced19832df1e752fd54cbc056e72de95e046acb57da24f18b4836a276fd33a","target":"graph","created_at":"2026-05-18T02:38:35Z","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":"In this work we establish the well-posedness for infinitesimal dislocation based gradient viscoplasticity with isotropic hardening for general gradient monotone plastic flows. We assume an additive split of the displacement gradient into non-symmetric elastic distortion and non-symmetric plastic distortion. The thermodynamic potential is augmented with a term taking the dislocation density tensor $\\operatorname{Curl} p$ into account. The constitutive equations in the models we study are assumed to be of self-controlling type. Based on the generalized version of Korn's inequality for incompatib","authors_text":"Krzysztof Che{\\l}mi\\'nski, Nataliya Kraynyukova, Patrizio Neff, Sergiy Nesenenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-05T15:22:13Z","title":"Well-posedness for dislocation based gradient visco-plasticity with isotropic hardening"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1295","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:ebb721f4623ef042c64cdf029e9e62523f4d788eec5e46f384494908e38f1375","target":"record","created_at":"2026-05-18T02:38:35Z","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":"46d4bc7a2936281501721e834133c2b4bec54aeea856b1fed27025a4a7efdeea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-05T15:22:13Z","title_canon_sha256":"5d11db5a457bac796f564cba1547ffee56226458d664a43601533637b3278c1b"},"schema_version":"1.0","source":{"id":"1411.1295","kind":"arxiv","version":1}},"canonical_sha256":"642b477dd01c05f6791f3ad529b92f3034a8d6607d3ce115e0fb4886fa520757","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"642b477dd01c05f6791f3ad529b92f3034a8d6607d3ce115e0fb4886fa520757","first_computed_at":"2026-05-18T02:38:35.814760Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:35.814760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"26mtkJL4w7AunNKp0dnym+LfJPkGpVU4+aPEtRURJv9XAFrMRzT7gIT4RK2PO3nacIao+/F5rY5KoPXv3f+QBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:35.815356Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.1295","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebb721f4623ef042c64cdf029e9e62523f4d788eec5e46f384494908e38f1375","sha256:85ced19832df1e752fd54cbc056e72de95e046acb57da24f18b4836a276fd33a"],"state_sha256":"17c8947bf1e5f90a453840d8fb56e2a8fc963c74e5b9d7e525a2199364985238"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e0Nc7fdosZLQEzqae2U/uMWBdgyxgBrqYKfqp/8XlO2RvaXPYcMQn7SU+4GeOnKZ+n6yK+1//PjdyKkDHwaeDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T14:47:15.208120Z","bundle_sha256":"cc764e2750182a292ca5acbc6c8872390f34d5883209009acc1f7010e3135cf3"}}