{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:MXZT7V2HVMOKYLQYGHRZEQWFDX","short_pith_number":"pith:MXZT7V2H","canonical_record":{"source":{"id":"1311.5329","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math-ph","submitted_at":"2013-11-21T08:17:31Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"17e33943adc2e462c707c09b2431816538073e2bdd39582b34270f3c331bb60b","abstract_canon_sha256":"a08fc00b432bf6b7a2299ab656e5e7e7f47b5e1dc99bcb17f54b5c54a08e6ade"},"schema_version":"1.0"},"canonical_sha256":"65f33fd747ab1cac2e1831e39242c51df29721de20d1997346bf0fe958aa9b21","source":{"kind":"arxiv","id":"1311.5329","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5329","created_at":"2026-05-18T02:54:30Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5329v2","created_at":"2026-05-18T02:54:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5329","created_at":"2026-05-18T02:54:30Z"},{"alias_kind":"pith_short_12","alias_value":"MXZT7V2HVMOK","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MXZT7V2HVMOKYLQY","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MXZT7V2H","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:MXZT7V2HVMOKYLQYGHRZEQWFDX","target":"record","payload":{"canonical_record":{"source":{"id":"1311.5329","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math-ph","submitted_at":"2013-11-21T08:17:31Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"17e33943adc2e462c707c09b2431816538073e2bdd39582b34270f3c331bb60b","abstract_canon_sha256":"a08fc00b432bf6b7a2299ab656e5e7e7f47b5e1dc99bcb17f54b5c54a08e6ade"},"schema_version":"1.0"},"canonical_sha256":"65f33fd747ab1cac2e1831e39242c51df29721de20d1997346bf0fe958aa9b21","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:30.483338Z","signature_b64":"otsP4aaisk18esLwsFqaqwivZ3aQNr8YXMytN461o3T2AvVUUVDLF+j4cINM/mLnH8WilOk1XADok5PxHnevBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65f33fd747ab1cac2e1831e39242c51df29721de20d1997346bf0fe958aa9b21","last_reissued_at":"2026-05-18T02:54:30.482802Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:30.482802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.5329","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":"2026-05-18T02:54:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9MLdZL/eozu7p6ZphvvJkGfSr02/X1O8Yc82tA1DaGa87tHFckGhnk2dfLXfxIqHQjJ7YqNu4xBVnkVTFyM/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:52:29.891555Z"},"content_sha256":"9d47f2f1e6c3fa50008cff49e025be855482cfe18e3b9ebd6f734217ae2fa1bd","schema_version":"1.0","event_id":"sha256:9d47f2f1e6c3fa50008cff49e025be855482cfe18e3b9ebd6f734217ae2fa1bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:MXZT7V2HVMOKYLQYGHRZEQWFDX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Remarks on the energy release rate for an antiplane moving crack in couple stress elasticity","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. Piccolroaz, G. Mishuris, L. Morini","submitted_at":"2013-11-21T08:17:31Z","abstract_excerpt":"This paper is concerned with the steady-state propagation of an antiplane semi-infinite crack in couple stress elastic materials. A distributed loading applied at the crack faces and moving with the same velocity of the crack tip is considered, and the influence of the loading profile variations and microstructural effects on the dynamic energy release rate is investigated. The behaviour of both energy release rate and maximum total shear stress when the crack tip speed approaches the critical speed (either that of the shear waves or that of the localised surface waves) is studied. The limit c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5329","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":"2026-05-18T02:54:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rn9ZBtnFl+oBbKFkGiXU1VMwbjWtkfnkQ9WEPVXcl5TLnXr2Qg+4XxkYajdX4zFlzPzZFmUp9gM0spm7APhxBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:52:29.891908Z"},"content_sha256":"0504fe26866782fb64aa99156a35a4b6da4b7dd675cf5e761407748835a05ead","schema_version":"1.0","event_id":"sha256:0504fe26866782fb64aa99156a35a4b6da4b7dd675cf5e761407748835a05ead"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MXZT7V2HVMOKYLQYGHRZEQWFDX/bundle.json","state_url":"https://pith.science/pith/MXZT7V2HVMOKYLQYGHRZEQWFDX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MXZT7V2HVMOKYLQYGHRZEQWFDX/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":"2026-06-10T21:52:29Z","links":{"resolver":"https://pith.science/pith/MXZT7V2HVMOKYLQYGHRZEQWFDX","bundle":"https://pith.science/pith/MXZT7V2HVMOKYLQYGHRZEQWFDX/bundle.json","state":"https://pith.science/pith/MXZT7V2HVMOKYLQYGHRZEQWFDX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MXZT7V2HVMOKYLQYGHRZEQWFDX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MXZT7V2HVMOKYLQYGHRZEQWFDX","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":"a08fc00b432bf6b7a2299ab656e5e7e7f47b5e1dc99bcb17f54b5c54a08e6ade","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math-ph","submitted_at":"2013-11-21T08:17:31Z","title_canon_sha256":"17e33943adc2e462c707c09b2431816538073e2bdd39582b34270f3c331bb60b"},"schema_version":"1.0","source":{"id":"1311.5329","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5329","created_at":"2026-05-18T02:54:30Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5329v2","created_at":"2026-05-18T02:54:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5329","created_at":"2026-05-18T02:54:30Z"},{"alias_kind":"pith_short_12","alias_value":"MXZT7V2HVMOK","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MXZT7V2HVMOKYLQY","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MXZT7V2H","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:0504fe26866782fb64aa99156a35a4b6da4b7dd675cf5e761407748835a05ead","target":"graph","created_at":"2026-05-18T02:54:30Z","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":"This paper is concerned with the steady-state propagation of an antiplane semi-infinite crack in couple stress elastic materials. A distributed loading applied at the crack faces and moving with the same velocity of the crack tip is considered, and the influence of the loading profile variations and microstructural effects on the dynamic energy release rate is investigated. The behaviour of both energy release rate and maximum total shear stress when the crack tip speed approaches the critical speed (either that of the shear waves or that of the localised surface waves) is studied. The limit c","authors_text":"A. Piccolroaz, G. Mishuris, L. Morini","cross_cats":["math.MP"],"headline":"","license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math-ph","submitted_at":"2013-11-21T08:17:31Z","title":"Remarks on the energy release rate for an antiplane moving crack in couple stress elasticity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5329","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":"sha256:9d47f2f1e6c3fa50008cff49e025be855482cfe18e3b9ebd6f734217ae2fa1bd","target":"record","created_at":"2026-05-18T02:54:30Z","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":"a08fc00b432bf6b7a2299ab656e5e7e7f47b5e1dc99bcb17f54b5c54a08e6ade","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math-ph","submitted_at":"2013-11-21T08:17:31Z","title_canon_sha256":"17e33943adc2e462c707c09b2431816538073e2bdd39582b34270f3c331bb60b"},"schema_version":"1.0","source":{"id":"1311.5329","kind":"arxiv","version":2}},"canonical_sha256":"65f33fd747ab1cac2e1831e39242c51df29721de20d1997346bf0fe958aa9b21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65f33fd747ab1cac2e1831e39242c51df29721de20d1997346bf0fe958aa9b21","first_computed_at":"2026-05-18T02:54:30.482802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:30.482802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"otsP4aaisk18esLwsFqaqwivZ3aQNr8YXMytN461o3T2AvVUUVDLF+j4cINM/mLnH8WilOk1XADok5PxHnevBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:30.483338Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.5329","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d47f2f1e6c3fa50008cff49e025be855482cfe18e3b9ebd6f734217ae2fa1bd","sha256:0504fe26866782fb64aa99156a35a4b6da4b7dd675cf5e761407748835a05ead"],"state_sha256":"0f0e0d7a2f3724158d0cda2040b90848607e14336d14e59d4eb97a59271f4622"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gub/Nh2Sy9dLQcBwnpvbalb9u1k4926J66Yz7gqp9ge42Bz3XtXdzgaZS0DfwkDGHv0tSMTBLMC9atNw5uGDBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T21:52:29.894182Z","bundle_sha256":"42aba341b4b44447d498a8f7827bf27dbee9a66c59fd158ce4ccf8a8f38fdbb0"}}