{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:XI6FCR6CQ4TXCMCQGINFH2KBVY","short_pith_number":"pith:XI6FCR6C","canonical_record":{"source":{"id":"1004.0032","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-04-01T00:21:58Z","cross_cats_sorted":["math-ph","math.MP","nlin.CD"],"title_canon_sha256":"2bb32a8e1c7ef49e8b195de08be3411e49c9cb54ec15b3dbbbc5508ca045e2ff","abstract_canon_sha256":"21f984bd58f90e112f89ff1abc47762ad2b228b7416a1e5a12c13a73ff92f86b"},"schema_version":"1.0"},"canonical_sha256":"ba3c5147c28727713050321a53e941ae20372771e37eb28d9370144c133379fe","source":{"kind":"arxiv","id":"1004.0032","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.0032","created_at":"2026-05-18T02:24:25Z"},{"alias_kind":"arxiv_version","alias_value":"1004.0032v1","created_at":"2026-05-18T02:24:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0032","created_at":"2026-05-18T02:24:25Z"},{"alias_kind":"pith_short_12","alias_value":"XI6FCR6CQ4TX","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XI6FCR6CQ4TXCMCQ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XI6FCR6C","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:XI6FCR6CQ4TXCMCQGINFH2KBVY","target":"record","payload":{"canonical_record":{"source":{"id":"1004.0032","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-04-01T00:21:58Z","cross_cats_sorted":["math-ph","math.MP","nlin.CD"],"title_canon_sha256":"2bb32a8e1c7ef49e8b195de08be3411e49c9cb54ec15b3dbbbc5508ca045e2ff","abstract_canon_sha256":"21f984bd58f90e112f89ff1abc47762ad2b228b7416a1e5a12c13a73ff92f86b"},"schema_version":"1.0"},"canonical_sha256":"ba3c5147c28727713050321a53e941ae20372771e37eb28d9370144c133379fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:25.352503Z","signature_b64":"osKoGwmWVDY5pzPNcJ56XQ+eF5awlPUs0lxBlOwaRuzVjmX5PZwpd5Xf85lkyVvNcOzN1uRvFFg6shG18umOAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba3c5147c28727713050321a53e941ae20372771e37eb28d9370144c133379fe","last_reissued_at":"2026-05-18T02:24:25.351843Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:25.351843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.0032","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":"2026-05-18T02:24:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pn+WZYVdfRwNpVjEHEthnkuTkqv/D5Jsgu01mUbJcSc/iU0McGToayanPO16yiYFiTKbdkcCbsDyZ93Lgk7OCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:13:48.715767Z"},"content_sha256":"b353c70a138d11a06506770e4efffa653d31c80bf5a6563edee29906a8cb1914","schema_version":"1.0","event_id":"sha256:b353c70a138d11a06506770e4efffa653d31c80bf5a6563edee29906a8cb1914"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:XI6FCR6CQ4TXCMCQGINFH2KBVY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of low-friction surface sliding of nanocrystals with rectangular symmetry and application to W on NaF(001)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.CD"],"primary_cat":"cond-mat.mes-hall","authors_text":"Annalisa Fasolino, Astrid S. de Wijn","submitted_at":"2010-04-01T00:21:58Z","abstract_excerpt":"We investigate the stability of low-friction sliding of nanocrystal with rectangular atomic arrangement on rectangular lattices, for which analytical results can be obtained.  We find that several incommensurate periodic orbits exist and are stable against thermal fluctuations and other perturbations.  As incommensurate orientations lead to low corrugation, and therefore low friction, such incommensurate periodic orbits are interesting for the study of nanotribology.  The analytical results compare very well with simulations of W nanocrystals on NaF(001).  The geometry and high typical corruga"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.0032","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":"2026-05-18T02:24:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1JNci9q10JubGwFy72LKWGV7X5yfO11TofyimoWF7UjNx6U1/XFWCsmJmMTHrZtbiPs1lzDQVHf3uRfbCqkPDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:13:48.716409Z"},"content_sha256":"e6a49af8ab4772d2b1f1ab039474a8643f34dddda4e58fd95b6adc1c1a3b66b4","schema_version":"1.0","event_id":"sha256:e6a49af8ab4772d2b1f1ab039474a8643f34dddda4e58fd95b6adc1c1a3b66b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XI6FCR6CQ4TXCMCQGINFH2KBVY/bundle.json","state_url":"https://pith.science/pith/XI6FCR6CQ4TXCMCQGINFH2KBVY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XI6FCR6CQ4TXCMCQGINFH2KBVY/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":"2026-06-08T16:13:48Z","links":{"resolver":"https://pith.science/pith/XI6FCR6CQ4TXCMCQGINFH2KBVY","bundle":"https://pith.science/pith/XI6FCR6CQ4TXCMCQGINFH2KBVY/bundle.json","state":"https://pith.science/pith/XI6FCR6CQ4TXCMCQGINFH2KBVY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XI6FCR6CQ4TXCMCQGINFH2KBVY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XI6FCR6CQ4TXCMCQGINFH2KBVY","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":"21f984bd58f90e112f89ff1abc47762ad2b228b7416a1e5a12c13a73ff92f86b","cross_cats_sorted":["math-ph","math.MP","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-04-01T00:21:58Z","title_canon_sha256":"2bb32a8e1c7ef49e8b195de08be3411e49c9cb54ec15b3dbbbc5508ca045e2ff"},"schema_version":"1.0","source":{"id":"1004.0032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.0032","created_at":"2026-05-18T02:24:25Z"},{"alias_kind":"arxiv_version","alias_value":"1004.0032v1","created_at":"2026-05-18T02:24:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0032","created_at":"2026-05-18T02:24:25Z"},{"alias_kind":"pith_short_12","alias_value":"XI6FCR6CQ4TX","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XI6FCR6CQ4TXCMCQ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XI6FCR6C","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:e6a49af8ab4772d2b1f1ab039474a8643f34dddda4e58fd95b6adc1c1a3b66b4","target":"graph","created_at":"2026-05-18T02:24:25Z","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 investigate the stability of low-friction sliding of nanocrystal with rectangular atomic arrangement on rectangular lattices, for which analytical results can be obtained.  We find that several incommensurate periodic orbits exist and are stable against thermal fluctuations and other perturbations.  As incommensurate orientations lead to low corrugation, and therefore low friction, such incommensurate periodic orbits are interesting for the study of nanotribology.  The analytical results compare very well with simulations of W nanocrystals on NaF(001).  The geometry and high typical corruga","authors_text":"Annalisa Fasolino, Astrid S. de Wijn","cross_cats":["math-ph","math.MP","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-04-01T00:21:58Z","title":"Stability of low-friction surface sliding of nanocrystals with rectangular symmetry and application to W on NaF(001)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.0032","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:b353c70a138d11a06506770e4efffa653d31c80bf5a6563edee29906a8cb1914","target":"record","created_at":"2026-05-18T02:24:25Z","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":"21f984bd58f90e112f89ff1abc47762ad2b228b7416a1e5a12c13a73ff92f86b","cross_cats_sorted":["math-ph","math.MP","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-04-01T00:21:58Z","title_canon_sha256":"2bb32a8e1c7ef49e8b195de08be3411e49c9cb54ec15b3dbbbc5508ca045e2ff"},"schema_version":"1.0","source":{"id":"1004.0032","kind":"arxiv","version":1}},"canonical_sha256":"ba3c5147c28727713050321a53e941ae20372771e37eb28d9370144c133379fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba3c5147c28727713050321a53e941ae20372771e37eb28d9370144c133379fe","first_computed_at":"2026-05-18T02:24:25.351843Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:25.351843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"osKoGwmWVDY5pzPNcJ56XQ+eF5awlPUs0lxBlOwaRuzVjmX5PZwpd5Xf85lkyVvNcOzN1uRvFFg6shG18umOAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:25.352503Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.0032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b353c70a138d11a06506770e4efffa653d31c80bf5a6563edee29906a8cb1914","sha256:e6a49af8ab4772d2b1f1ab039474a8643f34dddda4e58fd95b6adc1c1a3b66b4"],"state_sha256":"3b041c404c8c93924b32ccbfae6602c7f4669baebd5ac597f28b70fc8fc18614"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b0vhpKaUuRA6boTDzIIMJXyNWbiztuN4K1e+YqWX9DCzOprj5s4fzt/+GWvrtdPKh2/mhYksHTcHV11MavBAAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T16:13:48.720806Z","bundle_sha256":"73bbb4fe20bb85a46354cca1ac71f779c61e657a7db0549bfebf153a574bced6"}}