{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JDZM75I3IGXR6EVJOZ2ARA5VQQ","short_pith_number":"pith:JDZM75I3","canonical_record":{"source":{"id":"1503.06755","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-03-23T18:27:06Z","cross_cats_sorted":["cond-mat.mtrl-sci","math-ph","math.MP"],"title_canon_sha256":"ddc4b435f665fc16b132871ed5a14969f5a9f62372b4746d30e7b2eb8edc468c","abstract_canon_sha256":"918b558fca53937783f54fdf9fd60b6be08a69b0ae60e5806b4db53575980ba6"},"schema_version":"1.0"},"canonical_sha256":"48f2cff51b41af1f12a976740883b5843680c3a413482afd50714174a9621011","source":{"kind":"arxiv","id":"1503.06755","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.06755","created_at":"2026-05-18T01:24:25Z"},{"alias_kind":"arxiv_version","alias_value":"1503.06755v3","created_at":"2026-05-18T01:24:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06755","created_at":"2026-05-18T01:24:25Z"},{"alias_kind":"pith_short_12","alias_value":"JDZM75I3IGXR","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JDZM75I3IGXR6EVJ","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JDZM75I3","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JDZM75I3IGXR6EVJOZ2ARA5VQQ","target":"record","payload":{"canonical_record":{"source":{"id":"1503.06755","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-03-23T18:27:06Z","cross_cats_sorted":["cond-mat.mtrl-sci","math-ph","math.MP"],"title_canon_sha256":"ddc4b435f665fc16b132871ed5a14969f5a9f62372b4746d30e7b2eb8edc468c","abstract_canon_sha256":"918b558fca53937783f54fdf9fd60b6be08a69b0ae60e5806b4db53575980ba6"},"schema_version":"1.0"},"canonical_sha256":"48f2cff51b41af1f12a976740883b5843680c3a413482afd50714174a9621011","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:25.044724Z","signature_b64":"4+iJY/Av2Q5Gu8WsU+CVucCf82IJ0IfX3bCRGyXIIP6SiUaN+QAstqUaGlwMlQDhu1P+d1kYnSaMHNHAoFK3CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48f2cff51b41af1f12a976740883b5843680c3a413482afd50714174a9621011","last_reissued_at":"2026-05-18T01:24:25.043873Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:25.043873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.06755","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fwfs5/7KcZaAi325yOjIOU2RHV5g4ECuOZC6A5v+IUfbSfwCAY1YhCgj7glo255qfcmZr9r9IIpszbhVJDvYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:39:37.331032Z"},"content_sha256":"6f19d1955b5f82b225d731848c3eadb121f8ef28549b7e8a7572fe18e824c869","schema_version":"1.0","event_id":"sha256:6f19d1955b5f82b225d731848c3eadb121f8ef28549b7e8a7572fe18e824c869"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JDZM75I3IGXR6EVJOZ2ARA5VQQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Korn-Poincar\\'e-type inequality for special functions of bounded deformation","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":"2015-03-23T18:27:06Z","abstract_excerpt":"We present a Korn-Poincar\\'e-type inequality in a planar setting which is in the spirit of the Poincar\\'e inequality in SBV due to De Giorgi, Carriero, Leaci. We show that for each function in SBD$^2$ one can find a modification which differs from the original displacement field only on a small set such that the distance of the modification from a suitable infinitesimal rigid motion can be controlled by an appropriate combination of the elastic and the surface energy. In particular, the result can be used to obtain compactness estimates for functions of bounded deformation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06755","kind":"arxiv","version":3},"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":"2026-05-18T01:24:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xmtVvSk4mDRxL93mlf/FDd7RDyzaaqNyU6oyF7A5De4Z/g9pTImo+YtyJPyF8vpTTchxedj8gN57tw9WuVr+BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:39:37.331726Z"},"content_sha256":"8778cfbd5cc3bb1260295f4c08ecce05bb3c77c5ef1961139ed7654fadace63c","schema_version":"1.0","event_id":"sha256:8778cfbd5cc3bb1260295f4c08ecce05bb3c77c5ef1961139ed7654fadace63c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JDZM75I3IGXR6EVJOZ2ARA5VQQ/bundle.json","state_url":"https://pith.science/pith/JDZM75I3IGXR6EVJOZ2ARA5VQQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JDZM75I3IGXR6EVJOZ2ARA5VQQ/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":"2026-06-07T16:39:37Z","links":{"resolver":"https://pith.science/pith/JDZM75I3IGXR6EVJOZ2ARA5VQQ","bundle":"https://pith.science/pith/JDZM75I3IGXR6EVJOZ2ARA5VQQ/bundle.json","state":"https://pith.science/pith/JDZM75I3IGXR6EVJOZ2ARA5VQQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JDZM75I3IGXR6EVJOZ2ARA5VQQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JDZM75I3IGXR6EVJOZ2ARA5VQQ","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":"918b558fca53937783f54fdf9fd60b6be08a69b0ae60e5806b4db53575980ba6","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":"2015-03-23T18:27:06Z","title_canon_sha256":"ddc4b435f665fc16b132871ed5a14969f5a9f62372b4746d30e7b2eb8edc468c"},"schema_version":"1.0","source":{"id":"1503.06755","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.06755","created_at":"2026-05-18T01:24:25Z"},{"alias_kind":"arxiv_version","alias_value":"1503.06755v3","created_at":"2026-05-18T01:24:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06755","created_at":"2026-05-18T01:24:25Z"},{"alias_kind":"pith_short_12","alias_value":"JDZM75I3IGXR","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JDZM75I3IGXR6EVJ","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JDZM75I3","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:8778cfbd5cc3bb1260295f4c08ecce05bb3c77c5ef1961139ed7654fadace63c","target":"graph","created_at":"2026-05-18T01:24:25Z","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-Poincar\\'e-type inequality in a planar setting which is in the spirit of the Poincar\\'e inequality in SBV due to De Giorgi, Carriero, Leaci. We show that for each function in SBD$^2$ one can find a modification which differs from the original displacement field only on a small set such that the distance of the modification from a suitable infinitesimal rigid motion can be controlled by an appropriate combination of the elastic and the surface energy. In particular, the result can be used to obtain compactness estimates for functions of bounded deformation.","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":"2015-03-23T18:27:06Z","title":"A Korn-Poincar\\'e-type inequality for special functions of bounded deformation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06755","kind":"arxiv","version":3},"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":"sha256:6f19d1955b5f82b225d731848c3eadb121f8ef28549b7e8a7572fe18e824c869","target":"record","created_at":"2026-05-18T01:24:25Z","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":"918b558fca53937783f54fdf9fd60b6be08a69b0ae60e5806b4db53575980ba6","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":"2015-03-23T18:27:06Z","title_canon_sha256":"ddc4b435f665fc16b132871ed5a14969f5a9f62372b4746d30e7b2eb8edc468c"},"schema_version":"1.0","source":{"id":"1503.06755","kind":"arxiv","version":3}},"canonical_sha256":"48f2cff51b41af1f12a976740883b5843680c3a413482afd50714174a9621011","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48f2cff51b41af1f12a976740883b5843680c3a413482afd50714174a9621011","first_computed_at":"2026-05-18T01:24:25.043873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:25.043873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4+iJY/Av2Q5Gu8WsU+CVucCf82IJ0IfX3bCRGyXIIP6SiUaN+QAstqUaGlwMlQDhu1P+d1kYnSaMHNHAoFK3CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:25.044724Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.06755","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f19d1955b5f82b225d731848c3eadb121f8ef28549b7e8a7572fe18e824c869","sha256:8778cfbd5cc3bb1260295f4c08ecce05bb3c77c5ef1961139ed7654fadace63c"],"state_sha256":"41a6e8a753643eb5a8d7e1e6d6a73bba377f3a6ab77c1e7e8b2815fd5f8a3e51"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"64IVeTT9aLDwvOVc3Z46jSIMnkST5PyHeVs3fIBcysoeA38TfxBjPog1qflyS2YpClB7oFJuySS3KqG9OLYzAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:39:37.335465Z","bundle_sha256":"3c5283ad4aca7843a60e6b84873d5a3b14b6d4c94ba13e635f9953cb38bf0eab"}}