{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MH734RXTLFBYZ7YAJ3J64L5UN4","short_pith_number":"pith:MH734RXT","canonical_record":{"source":{"id":"1806.04512","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-06-08T23:17:15Z","cross_cats_sorted":[],"title_canon_sha256":"1ee6a72c155e080969582daf2fb672e54f9188e992175b0e16fa3b996a773920","abstract_canon_sha256":"b3744fcd988f27b768d1c4b797a7dd01e030e97b705719e4009765d38d0f1f67"},"schema_version":"1.0"},"canonical_sha256":"61ffbe46f359438cff004ed3ee2fb46f0dfe708dbab8acdac98cfc4e32720a2c","source":{"kind":"arxiv","id":"1806.04512","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.04512","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"arxiv_version","alias_value":"1806.04512v1","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04512","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"pith_short_12","alias_value":"MH734RXTLFBY","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MH734RXTLFBYZ7YA","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MH734RXT","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MH734RXTLFBYZ7YAJ3J64L5UN4","target":"record","payload":{"canonical_record":{"source":{"id":"1806.04512","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-06-08T23:17:15Z","cross_cats_sorted":[],"title_canon_sha256":"1ee6a72c155e080969582daf2fb672e54f9188e992175b0e16fa3b996a773920","abstract_canon_sha256":"b3744fcd988f27b768d1c4b797a7dd01e030e97b705719e4009765d38d0f1f67"},"schema_version":"1.0"},"canonical_sha256":"61ffbe46f359438cff004ed3ee2fb46f0dfe708dbab8acdac98cfc4e32720a2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:55.133678Z","signature_b64":"e53gyjjlA0kaqD9OaQFnLShz2h2/OIl2e8BTZemnD7lr275DEGP3qaZsVpKgTdSaHjewHJ8gkY/u/G02F0V6Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61ffbe46f359438cff004ed3ee2fb46f0dfe708dbab8acdac98cfc4e32720a2c","last_reissued_at":"2026-05-18T00:00:55.133057Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:55.133057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.04512","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":"2026-05-18T00:00:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HZFy4Ke4Jm2m+TmlwpwUBUo11SRioMy+A1nyc6JCLr+ABMaUg0EELvGQkVOlJgNpWEwnpzMYxIgWxGtBvhglBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:49:30.972149Z"},"content_sha256":"825b23c1b4f6c497f9cd7ceef8964c98fd77c19ac69bb3a462daddc2080dcdac","schema_version":"1.0","event_id":"sha256:825b23c1b4f6c497f9cd7ceef8964c98fd77c19ac69bb3a462daddc2080dcdac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MH734RXTLFBYZ7YAJ3J64L5UN4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Line-free Method of Monopoles for 3D Dislocation Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"A. Deffo, M. Ortiz, M. P. Ariza","submitted_at":"2018-06-08T23:17:15Z","abstract_excerpt":"We develop an approximation scheme for three-dimensional dislocation dynamics in which the dislocation line density is concentrated at points, or monopoles. Every monopole carries a Burgers vector and an element of line. The monopoles move according to mobility kinetics driven by elastic and applied forces. The divergence constraint, expressing the requirement that the monopoles approximate a boundary, is enforced weakly. The fundamental difference with traditional approximation schemes based on segments is that in the present approach an explicit linear connectivity, or 'sequence', between th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04512","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":"2026-05-18T00:00:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OjqnuDpAPhi1q0845ArTOhN+uNF9G62abCp5bV6oRr9W+8AWaDu34jfV2HwVcQxwQ9N2H2OF+Oocf6CFb3avBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:49:30.972513Z"},"content_sha256":"2d4dd85c002dbfabd1918b22637cdb0f3e5150c284f2ce32b7669f711fe91b7f","schema_version":"1.0","event_id":"sha256:2d4dd85c002dbfabd1918b22637cdb0f3e5150c284f2ce32b7669f711fe91b7f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MH734RXTLFBYZ7YAJ3J64L5UN4/bundle.json","state_url":"https://pith.science/pith/MH734RXTLFBYZ7YAJ3J64L5UN4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MH734RXTLFBYZ7YAJ3J64L5UN4/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":"2026-06-02T08:49:30Z","links":{"resolver":"https://pith.science/pith/MH734RXTLFBYZ7YAJ3J64L5UN4","bundle":"https://pith.science/pith/MH734RXTLFBYZ7YAJ3J64L5UN4/bundle.json","state":"https://pith.science/pith/MH734RXTLFBYZ7YAJ3J64L5UN4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MH734RXTLFBYZ7YAJ3J64L5UN4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MH734RXTLFBYZ7YAJ3J64L5UN4","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":"b3744fcd988f27b768d1c4b797a7dd01e030e97b705719e4009765d38d0f1f67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-06-08T23:17:15Z","title_canon_sha256":"1ee6a72c155e080969582daf2fb672e54f9188e992175b0e16fa3b996a773920"},"schema_version":"1.0","source":{"id":"1806.04512","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.04512","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"arxiv_version","alias_value":"1806.04512v1","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04512","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"pith_short_12","alias_value":"MH734RXTLFBY","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MH734RXTLFBYZ7YA","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MH734RXT","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:2d4dd85c002dbfabd1918b22637cdb0f3e5150c284f2ce32b7669f711fe91b7f","target":"graph","created_at":"2026-05-18T00:00:55Z","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 develop an approximation scheme for three-dimensional dislocation dynamics in which the dislocation line density is concentrated at points, or monopoles. Every monopole carries a Burgers vector and an element of line. The monopoles move according to mobility kinetics driven by elastic and applied forces. The divergence constraint, expressing the requirement that the monopoles approximate a boundary, is enforced weakly. The fundamental difference with traditional approximation schemes based on segments is that in the present approach an explicit linear connectivity, or 'sequence', between th","authors_text":"A. Deffo, M. Ortiz, M. P. Ariza","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-06-08T23:17:15Z","title":"A Line-free Method of Monopoles for 3D Dislocation Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04512","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":"sha256:825b23c1b4f6c497f9cd7ceef8964c98fd77c19ac69bb3a462daddc2080dcdac","target":"record","created_at":"2026-05-18T00:00:55Z","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":"b3744fcd988f27b768d1c4b797a7dd01e030e97b705719e4009765d38d0f1f67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-06-08T23:17:15Z","title_canon_sha256":"1ee6a72c155e080969582daf2fb672e54f9188e992175b0e16fa3b996a773920"},"schema_version":"1.0","source":{"id":"1806.04512","kind":"arxiv","version":1}},"canonical_sha256":"61ffbe46f359438cff004ed3ee2fb46f0dfe708dbab8acdac98cfc4e32720a2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61ffbe46f359438cff004ed3ee2fb46f0dfe708dbab8acdac98cfc4e32720a2c","first_computed_at":"2026-05-18T00:00:55.133057Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:55.133057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e53gyjjlA0kaqD9OaQFnLShz2h2/OIl2e8BTZemnD7lr275DEGP3qaZsVpKgTdSaHjewHJ8gkY/u/G02F0V6Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:55.133678Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.04512","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:825b23c1b4f6c497f9cd7ceef8964c98fd77c19ac69bb3a462daddc2080dcdac","sha256:2d4dd85c002dbfabd1918b22637cdb0f3e5150c284f2ce32b7669f711fe91b7f"],"state_sha256":"946f787dcd96e2ae512849eafaf773db1bbc1c41a176a5794b7b2834bdcddfc4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GM5mYMJVi4C1HZXyW6QpP85tknORdmhSVjKHtxPqLETbhP74PZeKN4h1G5dko/gqoUYJg8I8ZNtBP2HZW2awAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T08:49:30.974554Z","bundle_sha256":"87733408b6de07563bde5087f75f01bb24d500cebc94e6a3b1b7d3f58498b6ff"}}