{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:FWASC6KKRSFOXTXM4XOHXO5YKO","short_pith_number":"pith:FWASC6KK","canonical_record":{"source":{"id":"2008.02812","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2020-08-06T18:00:04Z","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con","hep-th"],"title_canon_sha256":"f9d6145b18d2bace2210bfc7627f7b286e4e34827342e017688f9cc54be650b7","abstract_canon_sha256":"1940d4550ce2be5ad45e579d9fc4b75d5b5078e6a7a41372d0ac59068a4dfb04"},"schema_version":"1.0"},"canonical_sha256":"2d8121794a8c8aebceece5dc7bbbb853a89cc445b35c5cdc8b1805aa091dc90e","source":{"kind":"arxiv","id":"2008.02812","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.02812","created_at":"2026-07-05T01:25:27Z"},{"alias_kind":"arxiv_version","alias_value":"2008.02812v1","created_at":"2026-07-05T01:25:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.02812","created_at":"2026-07-05T01:25:27Z"},{"alias_kind":"pith_short_12","alias_value":"FWASC6KKRSFO","created_at":"2026-07-05T01:25:27Z"},{"alias_kind":"pith_short_16","alias_value":"FWASC6KKRSFOXTXM","created_at":"2026-07-05T01:25:27Z"},{"alias_kind":"pith_short_8","alias_value":"FWASC6KK","created_at":"2026-07-05T01:25:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:FWASC6KKRSFOXTXM4XOHXO5YKO","target":"record","payload":{"canonical_record":{"source":{"id":"2008.02812","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2020-08-06T18:00:04Z","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con","hep-th"],"title_canon_sha256":"f9d6145b18d2bace2210bfc7627f7b286e4e34827342e017688f9cc54be650b7","abstract_canon_sha256":"1940d4550ce2be5ad45e579d9fc4b75d5b5078e6a7a41372d0ac59068a4dfb04"},"schema_version":"1.0"},"canonical_sha256":"2d8121794a8c8aebceece5dc7bbbb853a89cc445b35c5cdc8b1805aa091dc90e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:25:27.469463Z","signature_b64":"1l6aWPMXCFNlEsAtzagFjlIYH6LDdQHK7Vca1UOwCKYAyBmUZWz46e+jixHPcp92cxT5NWzD5IgrW5tgsLtNDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d8121794a8c8aebceece5dc7bbbb853a89cc445b35c5cdc8b1805aa091dc90e","last_reissued_at":"2026-07-05T01:25:27.469065Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:25:27.469065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2008.02812","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":"2026-07-05T01:25:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oY/A/AO7T2cD4A1OK/ERafO8hxsjtsrlvOGFdUQG7CAiAzxR8j2pRhy50sHMID/2naX1mZPfjYJ9fC2ONcSIAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T05:30:21.332682Z"},"content_sha256":"3d0c944af092dea6d15a1f0738f282b7e6b86c8a92e1ccb5001024cac9fb84e8","schema_version":"1.0","event_id":"sha256:3d0c944af092dea6d15a1f0738f282b7e6b86c8a92e1ccb5001024cac9fb84e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:FWASC6KKRSFOXTXM4XOHXO5YKO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Electrodynamics of Thin Sheets of Twisted Material","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el","cond-mat.supr-con","hep-th"],"primary_cat":"cond-mat.mes-hall","authors_text":"Dam Thanh Son, Dung Xuan Nguyen","submitted_at":"2020-08-06T18:00:04Z","abstract_excerpt":"We construct a minimal theory describing the optical activity of a thin sheet of a twisted material, the simplest example of which is twisted bilayer graphene. We introduce the notion of \"twisted electrical conductivity\", which parametrizes the parity-odd response of a thin film to a perpendicularly falling electromagnetic waves with wavelength larger than the thickness of the sheet. We show that the low-frequency Faraday rotation angle has different behaviors in different phases. For an insulator, the Faraday angle behaves as $\\omega^2$ at low frequencies, with the coefficient being determine"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.02812","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2008.02812/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:25:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j2tw8FudAYwFsl1NYf22SE/lrRTqtJFzMbU4izBfHJTQHvj/2J8yUXv2xHhj5qbWMDbydIE608amH87DQP8UBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T05:30:21.333392Z"},"content_sha256":"20b5d002293d79df9a2684a48c660a6e2c69907b3ca08340b58d21fb5e78b500","schema_version":"1.0","event_id":"sha256:20b5d002293d79df9a2684a48c660a6e2c69907b3ca08340b58d21fb5e78b500"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FWASC6KKRSFOXTXM4XOHXO5YKO/bundle.json","state_url":"https://pith.science/pith/FWASC6KKRSFOXTXM4XOHXO5YKO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FWASC6KKRSFOXTXM4XOHXO5YKO/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":"2026-08-12T05:30:21Z","links":{"resolver":"https://pith.science/pith/FWASC6KKRSFOXTXM4XOHXO5YKO","bundle":"https://pith.science/pith/FWASC6KKRSFOXTXM4XOHXO5YKO/bundle.json","state":"https://pith.science/pith/FWASC6KKRSFOXTXM4XOHXO5YKO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FWASC6KKRSFOXTXM4XOHXO5YKO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:FWASC6KKRSFOXTXM4XOHXO5YKO","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":"1940d4550ce2be5ad45e579d9fc4b75d5b5078e6a7a41372d0ac59068a4dfb04","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2020-08-06T18:00:04Z","title_canon_sha256":"f9d6145b18d2bace2210bfc7627f7b286e4e34827342e017688f9cc54be650b7"},"schema_version":"1.0","source":{"id":"2008.02812","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.02812","created_at":"2026-07-05T01:25:27Z"},{"alias_kind":"arxiv_version","alias_value":"2008.02812v1","created_at":"2026-07-05T01:25:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.02812","created_at":"2026-07-05T01:25:27Z"},{"alias_kind":"pith_short_12","alias_value":"FWASC6KKRSFO","created_at":"2026-07-05T01:25:27Z"},{"alias_kind":"pith_short_16","alias_value":"FWASC6KKRSFOXTXM","created_at":"2026-07-05T01:25:27Z"},{"alias_kind":"pith_short_8","alias_value":"FWASC6KK","created_at":"2026-07-05T01:25:27Z"}],"graph_snapshots":[{"event_id":"sha256:20b5d002293d79df9a2684a48c660a6e2c69907b3ca08340b58d21fb5e78b500","target":"graph","created_at":"2026-07-05T01:25:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2008.02812/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a minimal theory describing the optical activity of a thin sheet of a twisted material, the simplest example of which is twisted bilayer graphene. We introduce the notion of \"twisted electrical conductivity\", which parametrizes the parity-odd response of a thin film to a perpendicularly falling electromagnetic waves with wavelength larger than the thickness of the sheet. We show that the low-frequency Faraday rotation angle has different behaviors in different phases. For an insulator, the Faraday angle behaves as $\\omega^2$ at low frequencies, with the coefficient being determine","authors_text":"Dam Thanh Son, Dung Xuan Nguyen","cross_cats":["cond-mat.str-el","cond-mat.supr-con","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2020-08-06T18:00:04Z","title":"Electrodynamics of Thin Sheets of Twisted Material"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.02812","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":"sha256:3d0c944af092dea6d15a1f0738f282b7e6b86c8a92e1ccb5001024cac9fb84e8","target":"record","created_at":"2026-07-05T01:25:27Z","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":"1940d4550ce2be5ad45e579d9fc4b75d5b5078e6a7a41372d0ac59068a4dfb04","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2020-08-06T18:00:04Z","title_canon_sha256":"f9d6145b18d2bace2210bfc7627f7b286e4e34827342e017688f9cc54be650b7"},"schema_version":"1.0","source":{"id":"2008.02812","kind":"arxiv","version":1}},"canonical_sha256":"2d8121794a8c8aebceece5dc7bbbb853a89cc445b35c5cdc8b1805aa091dc90e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d8121794a8c8aebceece5dc7bbbb853a89cc445b35c5cdc8b1805aa091dc90e","first_computed_at":"2026-07-05T01:25:27.469065Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:25:27.469065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1l6aWPMXCFNlEsAtzagFjlIYH6LDdQHK7Vca1UOwCKYAyBmUZWz46e+jixHPcp92cxT5NWzD5IgrW5tgsLtNDA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:25:27.469463Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.02812","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d0c944af092dea6d15a1f0738f282b7e6b86c8a92e1ccb5001024cac9fb84e8","sha256:20b5d002293d79df9a2684a48c660a6e2c69907b3ca08340b58d21fb5e78b500"],"state_sha256":"5f98b25474a2c067cbfdfbeb76e00d3c715bc03a478154cb0347f992757184cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3bHzR1rkFPikNMPqYQjor0MKYoAgutW1MsluiQeqdd+wKhRzgX8nsWcajRRaegyPmr14v53w1QrcFDIViwvjDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T05:30:21.340595Z","bundle_sha256":"9d9d4c5b4d92304bf4d545130119f97b881728b85fac3ff762c063d3f89f0b53"}}