{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:HQCAVTF4ELMYDEZ4POE6SWATIF","short_pith_number":"pith:HQCAVTF4","canonical_record":{"source":{"id":"1505.00565","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-04T09:25:33Z","cross_cats_sorted":["cond-mat.mtrl-sci","math-ph","math.MP"],"title_canon_sha256":"8ab1206b679004d346c408dc123af7091c137012258727c278f9aa5e4ce5ecd2","abstract_canon_sha256":"192868fe379eaf741e87d193fca0c7bc9d1580b1d63a4a921d93ccb351053108"},"schema_version":"1.0"},"canonical_sha256":"3c040accbc22d981933c7b89e958134148d392bddb4a6641269bc99da164933c","source":{"kind":"arxiv","id":"1505.00565","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00565","created_at":"2026-05-18T00:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00565v5","created_at":"2026-05-18T00:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00565","created_at":"2026-05-18T00:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"HQCAVTF4ELMY","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HQCAVTF4ELMYDEZ4","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HQCAVTF4","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:HQCAVTF4ELMYDEZ4POE6SWATIF","target":"record","payload":{"canonical_record":{"source":{"id":"1505.00565","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-04T09:25:33Z","cross_cats_sorted":["cond-mat.mtrl-sci","math-ph","math.MP"],"title_canon_sha256":"8ab1206b679004d346c408dc123af7091c137012258727c278f9aa5e4ce5ecd2","abstract_canon_sha256":"192868fe379eaf741e87d193fca0c7bc9d1580b1d63a4a921d93ccb351053108"},"schema_version":"1.0"},"canonical_sha256":"3c040accbc22d981933c7b89e958134148d392bddb4a6641269bc99da164933c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:53.146651Z","signature_b64":"//Bg5elT2pgvXDrv+XL+VTIIKNckBFdQpGdDMfGNFABYBBxYhmklwaDxr7oa1kAEK4prbpuGqcqXNVndGmRxCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c040accbc22d981933c7b89e958134148d392bddb4a6641269bc99da164933c","last_reissued_at":"2026-05-18T00:39:53.145968Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:53.145968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.00565","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YHO0rl008RxeQDxi99FkYu45xGKR6meNR2aPkgVgW2GoUDP7iuTPQThA0N2t892KCVkJhnG6xlCD2FHyLK6PAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T03:06:26.342070Z"},"content_sha256":"9c9b7c57e77e6eaeca56b6c7ac6af1ecb6162ef88c271a1ad86d602b6ae9272d","schema_version":"1.0","event_id":"sha256:9c9b7c57e77e6eaeca56b6c7ac6af1ecb6162ef88c271a1ad86d602b6ae9272d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:HQCAVTF4ELMYDEZ4POE6SWATIF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Korn-type inequality in SBD for functions with small jump sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Manuel Friedrich","submitted_at":"2015-05-04T09:25:33Z","abstract_excerpt":"We present a Korn-type inequality in a planar setting for special functions of bounded deformation. We prove that for each function in SBD$^2$ with sufficiently small jump set the distance of the function and its derivative from an infinitesimal rigid motion can be controlled in terms of the linearized elastic strain outside of a small exceptional set of finite perimeter. Particularly the result shows that each function in SBD$^2$ has bounded variation away from an arbitrarily small part of the domain."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00565","kind":"arxiv","version":5},"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":"2026-05-18T00:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cBWND2Lu9K/DLFP1ZhKh/kcVJrXrW1TZ7iO7e0RmkNIs9k2kVLHA3NoCVMZfdoAyiVRegcQ/KL7hex3bAY97AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T03:06:26.342751Z"},"content_sha256":"cbf6be736c1095219ea584355659f9932e9556f2d5b2b341da8d01ca87685113","schema_version":"1.0","event_id":"sha256:cbf6be736c1095219ea584355659f9932e9556f2d5b2b341da8d01ca87685113"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HQCAVTF4ELMYDEZ4POE6SWATIF/bundle.json","state_url":"https://pith.science/pith/HQCAVTF4ELMYDEZ4POE6SWATIF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HQCAVTF4ELMYDEZ4POE6SWATIF/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":"2026-06-08T03:06:26Z","links":{"resolver":"https://pith.science/pith/HQCAVTF4ELMYDEZ4POE6SWATIF","bundle":"https://pith.science/pith/HQCAVTF4ELMYDEZ4POE6SWATIF/bundle.json","state":"https://pith.science/pith/HQCAVTF4ELMYDEZ4POE6SWATIF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HQCAVTF4ELMYDEZ4POE6SWATIF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HQCAVTF4ELMYDEZ4POE6SWATIF","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":"192868fe379eaf741e87d193fca0c7bc9d1580b1d63a4a921d93ccb351053108","cross_cats_sorted":["cond-mat.mtrl-sci","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-04T09:25:33Z","title_canon_sha256":"8ab1206b679004d346c408dc123af7091c137012258727c278f9aa5e4ce5ecd2"},"schema_version":"1.0","source":{"id":"1505.00565","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00565","created_at":"2026-05-18T00:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00565v5","created_at":"2026-05-18T00:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00565","created_at":"2026-05-18T00:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"HQCAVTF4ELMY","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HQCAVTF4ELMYDEZ4","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HQCAVTF4","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:cbf6be736c1095219ea584355659f9932e9556f2d5b2b341da8d01ca87685113","target":"graph","created_at":"2026-05-18T00:39:53Z","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 present a Korn-type inequality in a planar setting for special functions of bounded deformation. We prove that for each function in SBD$^2$ with sufficiently small jump set the distance of the function and its derivative from an infinitesimal rigid motion can be controlled in terms of the linearized elastic strain outside of a small exceptional set of finite perimeter. Particularly the result shows that each function in SBD$^2$ has bounded variation away from an arbitrarily small part of the domain.","authors_text":"Manuel Friedrich","cross_cats":["cond-mat.mtrl-sci","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-04T09:25:33Z","title":"A Korn-type inequality in SBD for functions with small jump sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00565","kind":"arxiv","version":5},"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":"sha256:9c9b7c57e77e6eaeca56b6c7ac6af1ecb6162ef88c271a1ad86d602b6ae9272d","target":"record","created_at":"2026-05-18T00:39:53Z","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":"192868fe379eaf741e87d193fca0c7bc9d1580b1d63a4a921d93ccb351053108","cross_cats_sorted":["cond-mat.mtrl-sci","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-04T09:25:33Z","title_canon_sha256":"8ab1206b679004d346c408dc123af7091c137012258727c278f9aa5e4ce5ecd2"},"schema_version":"1.0","source":{"id":"1505.00565","kind":"arxiv","version":5}},"canonical_sha256":"3c040accbc22d981933c7b89e958134148d392bddb4a6641269bc99da164933c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c040accbc22d981933c7b89e958134148d392bddb4a6641269bc99da164933c","first_computed_at":"2026-05-18T00:39:53.145968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:53.145968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"//Bg5elT2pgvXDrv+XL+VTIIKNckBFdQpGdDMfGNFABYBBxYhmklwaDxr7oa1kAEK4prbpuGqcqXNVndGmRxCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:53.146651Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00565","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c9b7c57e77e6eaeca56b6c7ac6af1ecb6162ef88c271a1ad86d602b6ae9272d","sha256:cbf6be736c1095219ea584355659f9932e9556f2d5b2b341da8d01ca87685113"],"state_sha256":"cdeb72edeb4b6554456e4444f8cc7f5caad4c9a0edc5b881d5d43e1688968e47"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zhhm0pP1G6BM4b75eGkqRXHsrpkOVG50VTZUO7VwKOWoqApPQx7bcdjfOqF4i8j81c6NzBE865YMm1A0yqM8BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T03:06:26.346796Z","bundle_sha256":"191d90fb3b5ccccff17bdce35c1e2ad3b5fd3427c8fac81b650657013f419061"}}