{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:7K7BLFSAKMMGAPOM6REWFQWNJY","short_pith_number":"pith:7K7BLFSA","canonical_record":{"source":{"id":"1101.0623","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-01-03T22:51:06Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"48ffce09212bdf473ff9bffd9809ddea5f9e89e94c2aaf5d846b2aecf5908479","abstract_canon_sha256":"4085194717233f92cb359d97662db4807976a5d7071c50fe41010746dc7cfae2"},"schema_version":"1.0"},"canonical_sha256":"fabe1596405318603dccf44962c2cd4e140418b2be17fd75a1d3747f438ee7b1","source":{"kind":"arxiv","id":"1101.0623","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.0623","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"arxiv_version","alias_value":"1101.0623v1","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.0623","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"pith_short_12","alias_value":"7K7BLFSAKMMG","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7K7BLFSAKMMGAPOM","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7K7BLFSA","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:7K7BLFSAKMMGAPOM6REWFQWNJY","target":"record","payload":{"canonical_record":{"source":{"id":"1101.0623","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-01-03T22:51:06Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"48ffce09212bdf473ff9bffd9809ddea5f9e89e94c2aaf5d846b2aecf5908479","abstract_canon_sha256":"4085194717233f92cb359d97662db4807976a5d7071c50fe41010746dc7cfae2"},"schema_version":"1.0"},"canonical_sha256":"fabe1596405318603dccf44962c2cd4e140418b2be17fd75a1d3747f438ee7b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:22.690988Z","signature_b64":"YsDRPDlSdUIprSB6zwj5onxq/RzeWpgG/tKSXPEcaumvKCcw2M6g2qvdyAYtHokiuvYse+osSQni+0hzW1WVDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fabe1596405318603dccf44962c2cd4e140418b2be17fd75a1d3747f438ee7b1","last_reissued_at":"2026-05-18T04:26:22.690600Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:22.690600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.0623","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":"2026-05-18T04:26:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9dCENXOcZJTwOfsBlQ6vwW9PZuHW/r8ig5aFgx/TzmTgyvynKf/rrhno0UevXYusK2AWqonwca0Udxa/1j5eDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:00:32.458059Z"},"content_sha256":"e7a4cd4b895d887ec1a03403a86862037ad6694f47e7733d30622b6261fe33f0","schema_version":"1.0","event_id":"sha256:e7a4cd4b895d887ec1a03403a86862037ad6694f47e7733d30622b6261fe33f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:7K7BLFSAKMMGAPOM6REWFQWNJY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Zitterbewegung (trembling motion) of electrons in semiconductors: a Review","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Tomasz M. Rusin, Wlodek Zawadzki","submitted_at":"2011-01-03T22:51:06Z","abstract_excerpt":"We review recent research on Zitterbewegung (ZB, trembling motion) of electrons in semiconductors. A brief history of the subject is presented, the trembling motion in semirelativistic and spin systems is considered and its main features are emphasized. Zitterbewegung of charge carriers in monolayer and bilayer graphene as well as in carbon nanotubes is elaborated in some detail. We describe effects of an external magnetic field on ZB using monolayer graphene as an example. Nature of electron ZB in crystalline solids is explained. We also review various simulations of the trembling motion in a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.0623","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":"2026-05-18T04:26:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zYSr+lgMpmyJs5FLwaMw+RvI51nUDG7OQ+n2UbeL1jcAV/Jd90GVOEHc/0pkrDPzKNFHRyMl1tMBYOtS1hU0Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:00:32.458423Z"},"content_sha256":"3c7621a7a40bbf19564bacd16ce6a38c1707371afc5ee52b706d2632a2d831db","schema_version":"1.0","event_id":"sha256:3c7621a7a40bbf19564bacd16ce6a38c1707371afc5ee52b706d2632a2d831db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7K7BLFSAKMMGAPOM6REWFQWNJY/bundle.json","state_url":"https://pith.science/pith/7K7BLFSAKMMGAPOM6REWFQWNJY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7K7BLFSAKMMGAPOM6REWFQWNJY/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":"2026-06-06T16:00:32Z","links":{"resolver":"https://pith.science/pith/7K7BLFSAKMMGAPOM6REWFQWNJY","bundle":"https://pith.science/pith/7K7BLFSAKMMGAPOM6REWFQWNJY/bundle.json","state":"https://pith.science/pith/7K7BLFSAKMMGAPOM6REWFQWNJY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7K7BLFSAKMMGAPOM6REWFQWNJY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7K7BLFSAKMMGAPOM6REWFQWNJY","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":"4085194717233f92cb359d97662db4807976a5d7071c50fe41010746dc7cfae2","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-01-03T22:51:06Z","title_canon_sha256":"48ffce09212bdf473ff9bffd9809ddea5f9e89e94c2aaf5d846b2aecf5908479"},"schema_version":"1.0","source":{"id":"1101.0623","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.0623","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"arxiv_version","alias_value":"1101.0623v1","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.0623","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"pith_short_12","alias_value":"7K7BLFSAKMMG","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7K7BLFSAKMMGAPOM","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7K7BLFSA","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:3c7621a7a40bbf19564bacd16ce6a38c1707371afc5ee52b706d2632a2d831db","target":"graph","created_at":"2026-05-18T04:26:22Z","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 review recent research on Zitterbewegung (ZB, trembling motion) of electrons in semiconductors. A brief history of the subject is presented, the trembling motion in semirelativistic and spin systems is considered and its main features are emphasized. Zitterbewegung of charge carriers in monolayer and bilayer graphene as well as in carbon nanotubes is elaborated in some detail. We describe effects of an external magnetic field on ZB using monolayer graphene as an example. Nature of electron ZB in crystalline solids is explained. We also review various simulations of the trembling motion in a","authors_text":"Tomasz M. Rusin, Wlodek Zawadzki","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-01-03T22:51:06Z","title":"Zitterbewegung (trembling motion) of electrons in semiconductors: a Review"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.0623","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:e7a4cd4b895d887ec1a03403a86862037ad6694f47e7733d30622b6261fe33f0","target":"record","created_at":"2026-05-18T04:26:22Z","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":"4085194717233f92cb359d97662db4807976a5d7071c50fe41010746dc7cfae2","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-01-03T22:51:06Z","title_canon_sha256":"48ffce09212bdf473ff9bffd9809ddea5f9e89e94c2aaf5d846b2aecf5908479"},"schema_version":"1.0","source":{"id":"1101.0623","kind":"arxiv","version":1}},"canonical_sha256":"fabe1596405318603dccf44962c2cd4e140418b2be17fd75a1d3747f438ee7b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fabe1596405318603dccf44962c2cd4e140418b2be17fd75a1d3747f438ee7b1","first_computed_at":"2026-05-18T04:26:22.690600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:22.690600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YsDRPDlSdUIprSB6zwj5onxq/RzeWpgG/tKSXPEcaumvKCcw2M6g2qvdyAYtHokiuvYse+osSQni+0hzW1WVDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:22.690988Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.0623","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7a4cd4b895d887ec1a03403a86862037ad6694f47e7733d30622b6261fe33f0","sha256:3c7621a7a40bbf19564bacd16ce6a38c1707371afc5ee52b706d2632a2d831db"],"state_sha256":"5b890b7c6f57c38c7bc134a624b67b0a65061ef3e74bd714d546699fbc824c2f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yB26mXTQqQvEnMCmBC+9pcDviUIfbQjJ0k+Mb+6VszFONZCGFDUc2RAISkzb7VlR0zN78OxkGZmD8ExJHkPsBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T16:00:32.461365Z","bundle_sha256":"5da8cabcfcdd41498f10de5684b064b903985764a7c2a95b4bf949ceadee8ff3"}}