{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:TR2NBKVBKO7Q7GYJYOQBUC4EHP","short_pith_number":"pith:TR2NBKVB","canonical_record":{"source":{"id":"1010.3655","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-18T17:28:55Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"6b406b6e12296d8055e2dea1d80f48a39c15f56d0239b495d485cf7a5d358a2b","abstract_canon_sha256":"27c0521205d2046a5ac65b7540157a74b66e7a1c622a9a1318486a726efc1a27"},"schema_version":"1.0"},"canonical_sha256":"9c74d0aaa153bf0f9b09c3a01a0b843bd66c1b5cf55d99d39e8bddc535d2029c","source":{"kind":"arxiv","id":"1010.3655","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3655","created_at":"2026-05-18T04:39:08Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3655v1","created_at":"2026-05-18T04:39:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3655","created_at":"2026-05-18T04:39:08Z"},{"alias_kind":"pith_short_12","alias_value":"TR2NBKVBKO7Q","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"TR2NBKVBKO7Q7GYJ","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"TR2NBKVB","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:TR2NBKVBKO7Q7GYJYOQBUC4EHP","target":"record","payload":{"canonical_record":{"source":{"id":"1010.3655","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-18T17:28:55Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"6b406b6e12296d8055e2dea1d80f48a39c15f56d0239b495d485cf7a5d358a2b","abstract_canon_sha256":"27c0521205d2046a5ac65b7540157a74b66e7a1c622a9a1318486a726efc1a27"},"schema_version":"1.0"},"canonical_sha256":"9c74d0aaa153bf0f9b09c3a01a0b843bd66c1b5cf55d99d39e8bddc535d2029c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:08.484392Z","signature_b64":"Rr81o6awzUp2VyC6gnVeRaaJMSGPakVAe9n4VOkGI9WW4tAR/ADScYTPj6XIXD3d4Rmlc90zhkPummrf3m+mDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c74d0aaa153bf0f9b09c3a01a0b843bd66c1b5cf55d99d39e8bddc535d2029c","last_reissued_at":"2026-05-18T04:39:08.483671Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:08.483671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.3655","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":"2026-05-18T04:39:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"edBwbVkfQKoU9j6sXQqeH/CD2kA+nlAVcx8RQS3diDK//TZsoUI1pSlsJaRIUExgQvEZ8BZFLnnUbdWaTh82AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:35:54.455846Z"},"content_sha256":"efbbcc400aa6574aac7f9b1d376bacfd5efbc195e75e884ef3b5b4b02f763f90","schema_version":"1.0","event_id":"sha256:efbbcc400aa6574aac7f9b1d376bacfd5efbc195e75e884ef3b5b4b02f763f90"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:TR2NBKVBKO7Q7GYJYOQBUC4EHP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The non-Riemannian dislocated crystal: a tribute to Ekkehart Kr\\\"oner (1919-2000)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"math.DG","authors_text":"Nicolas Van Goethem","submitted_at":"2010-10-18T17:28:55Z","abstract_excerpt":"This expository paper is a tribute to Ekkehart Kr\\\"oner's results on the intrinsic non-Riemannian geometrical nature of a single crystal filled with point and/or line defects. A new perspective on this old theory is proposed, intended to contribute to the debate around the still open Kr\\\"oner's question: \"what are the dynamical variables of our theory?\""},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3655","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":"2026-05-18T04:39:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EEp5dTJjKL4N+O1yWcqZk9DWZBZ8wmqTQGFvcauxkMgIiPXIi8S8EzbN6kJ+LlZzCY0WORwAm0e4xWiPZbvvCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:35:54.456187Z"},"content_sha256":"804b3e10d337d70f3b9e25cafd3f7ac958a36665e3365b2729bb2fff915262af","schema_version":"1.0","event_id":"sha256:804b3e10d337d70f3b9e25cafd3f7ac958a36665e3365b2729bb2fff915262af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TR2NBKVBKO7Q7GYJYOQBUC4EHP/bundle.json","state_url":"https://pith.science/pith/TR2NBKVBKO7Q7GYJYOQBUC4EHP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TR2NBKVBKO7Q7GYJYOQBUC4EHP/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":"2026-06-20T23:35:54Z","links":{"resolver":"https://pith.science/pith/TR2NBKVBKO7Q7GYJYOQBUC4EHP","bundle":"https://pith.science/pith/TR2NBKVBKO7Q7GYJYOQBUC4EHP/bundle.json","state":"https://pith.science/pith/TR2NBKVBKO7Q7GYJYOQBUC4EHP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TR2NBKVBKO7Q7GYJYOQBUC4EHP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TR2NBKVBKO7Q7GYJYOQBUC4EHP","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":"27c0521205d2046a5ac65b7540157a74b66e7a1c622a9a1318486a726efc1a27","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-18T17:28:55Z","title_canon_sha256":"6b406b6e12296d8055e2dea1d80f48a39c15f56d0239b495d485cf7a5d358a2b"},"schema_version":"1.0","source":{"id":"1010.3655","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3655","created_at":"2026-05-18T04:39:08Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3655v1","created_at":"2026-05-18T04:39:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3655","created_at":"2026-05-18T04:39:08Z"},{"alias_kind":"pith_short_12","alias_value":"TR2NBKVBKO7Q","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"TR2NBKVBKO7Q7GYJ","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"TR2NBKVB","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:804b3e10d337d70f3b9e25cafd3f7ac958a36665e3365b2729bb2fff915262af","target":"graph","created_at":"2026-05-18T04:39:08Z","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 expository paper is a tribute to Ekkehart Kr\\\"oner's results on the intrinsic non-Riemannian geometrical nature of a single crystal filled with point and/or line defects. A new perspective on this old theory is proposed, intended to contribute to the debate around the still open Kr\\\"oner's question: \"what are the dynamical variables of our theory?\"","authors_text":"Nicolas Van Goethem","cross_cats":["physics.class-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-18T17:28:55Z","title":"The non-Riemannian dislocated crystal: a tribute to Ekkehart Kr\\\"oner (1919-2000)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3655","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:efbbcc400aa6574aac7f9b1d376bacfd5efbc195e75e884ef3b5b4b02f763f90","target":"record","created_at":"2026-05-18T04:39:08Z","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":"27c0521205d2046a5ac65b7540157a74b66e7a1c622a9a1318486a726efc1a27","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-18T17:28:55Z","title_canon_sha256":"6b406b6e12296d8055e2dea1d80f48a39c15f56d0239b495d485cf7a5d358a2b"},"schema_version":"1.0","source":{"id":"1010.3655","kind":"arxiv","version":1}},"canonical_sha256":"9c74d0aaa153bf0f9b09c3a01a0b843bd66c1b5cf55d99d39e8bddc535d2029c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c74d0aaa153bf0f9b09c3a01a0b843bd66c1b5cf55d99d39e8bddc535d2029c","first_computed_at":"2026-05-18T04:39:08.483671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:08.483671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rr81o6awzUp2VyC6gnVeRaaJMSGPakVAe9n4VOkGI9WW4tAR/ADScYTPj6XIXD3d4Rmlc90zhkPummrf3m+mDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:08.484392Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.3655","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:efbbcc400aa6574aac7f9b1d376bacfd5efbc195e75e884ef3b5b4b02f763f90","sha256:804b3e10d337d70f3b9e25cafd3f7ac958a36665e3365b2729bb2fff915262af"],"state_sha256":"b534c0cd8f0acfd31707d59aff9ee13e2a2c85480fe763c0f5c3111eb445f162"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f8B7j7ir2Ejml7LY1RyOYtozQRhaeS+j/AypOyHmj/XeXFQjPnWyubvAxKbh6rxcoCmN9T1y1U/+aVmSoHTuCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T23:35:54.458115Z","bundle_sha256":"f2bf75284aae01f28dea5a01d79c2a45138ce0522909774262d8b4f32f6776c1"}}