{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:TQFL5BZMW6T7QB7436LYWKS5OU","short_pith_number":"pith:TQFL5BZM","canonical_record":{"source":{"id":"2205.06830","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2022-05-13T18:01:05Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"10ece80c5b7c1667ac6bf2dc8d272dea5131d80079bc2ff84c26541fe4e2ffb1","abstract_canon_sha256":"35adbc11a6daf021e94a579295d37cfcfa8632c5d052af5f67dd886fd835dc15"},"schema_version":"1.0"},"canonical_sha256":"9c0abe872cb7a7f807fcdf978b2a5d753624ffe633a85306596485e7ede7105e","source":{"kind":"arxiv","id":"2205.06830","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.06830","created_at":"2026-07-05T04:50:17Z"},{"alias_kind":"arxiv_version","alias_value":"2205.06830v2","created_at":"2026-07-05T04:50:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.06830","created_at":"2026-07-05T04:50:17Z"},{"alias_kind":"pith_short_12","alias_value":"TQFL5BZMW6T7","created_at":"2026-07-05T04:50:17Z"},{"alias_kind":"pith_short_16","alias_value":"TQFL5BZMW6T7QB74","created_at":"2026-07-05T04:50:17Z"},{"alias_kind":"pith_short_8","alias_value":"TQFL5BZM","created_at":"2026-07-05T04:50:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:TQFL5BZMW6T7QB7436LYWKS5OU","target":"record","payload":{"canonical_record":{"source":{"id":"2205.06830","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2022-05-13T18:01:05Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"10ece80c5b7c1667ac6bf2dc8d272dea5131d80079bc2ff84c26541fe4e2ffb1","abstract_canon_sha256":"35adbc11a6daf021e94a579295d37cfcfa8632c5d052af5f67dd886fd835dc15"},"schema_version":"1.0"},"canonical_sha256":"9c0abe872cb7a7f807fcdf978b2a5d753624ffe633a85306596485e7ede7105e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:50:17.066633Z","signature_b64":"pTHadLvkdlne2woEW/AC3mxCEecEwrCzu1nXxDNk/59SmpH/rIsE8VQq8dkcK+FwW+UxyZU51YCDDyTv+lGuCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c0abe872cb7a7f807fcdf978b2a5d753624ffe633a85306596485e7ede7105e","last_reissued_at":"2026-07-05T04:50:17.066225Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:50:17.066225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2205.06830","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:50:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F9b09qSYyJJFKvvzw6qf/QCfNHN3CiJPbcY50o5rRoq6bmw4kl6Df2qm3z15/dxGx0FmbBWQ0tNm3oT7hctwBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:19:14.135786Z"},"content_sha256":"ca77e7d3f2dd3b99d828cbd2e5080a9f6006e399c1f495a6bfffb273cb17f76d","schema_version":"1.0","event_id":"sha256:ca77e7d3f2dd3b99d828cbd2e5080a9f6006e399c1f495a6bfffb273cb17f76d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:TQFL5BZMW6T7QB7436LYWKS5OU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetry Origin of Lattice Vibration Modes in Twisted Multilayer Graphene: Phasons vs Moir\\'e Phonons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.mes-hall","authors_text":"Eslam Khalaf, Qiang Gao","submitted_at":"2022-05-13T18:01:05Z","abstract_excerpt":"Lattice dynamics play a crucial role in the physics of Moir\\'e systems. In twisted bilayer graphene (TBG), it was shown that, in addition to the graphene phonons, there is another set of gapless excitations termed Moir\\'e Phonons [Phys. Rev. B, 075416, 2019] reflecting the lattice dynamics at the Moire superlattice level. These modes were later suggested to be phasons due to the incommensurate stacking of the two graphene layers [Phys. Rev. B, 155426, 2019]. In this work, we elucidate the equivalence of these two seemingly distinct perspectives by identifying an underlying symmetry, which we d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.06830","kind":"arxiv","version":2},"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/2205.06830/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":"2026-07-05T04:50:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zJnQWIeuQdjPybDbQbyKH+JFv+xgtr6MMf2Jy4L/uhwnGcQtoR7uERUgIsvfGuqaqntHfLJX9bYY4jWcSOIKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:19:14.136522Z"},"content_sha256":"7d31d8e8fe780992f820cf50596e7ff8b121f9c644b6abdac1cea7ca919afa71","schema_version":"1.0","event_id":"sha256:7d31d8e8fe780992f820cf50596e7ff8b121f9c644b6abdac1cea7ca919afa71"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TQFL5BZMW6T7QB7436LYWKS5OU/bundle.json","state_url":"https://pith.science/pith/TQFL5BZMW6T7QB7436LYWKS5OU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TQFL5BZMW6T7QB7436LYWKS5OU/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":"2026-08-11T02:19:14Z","links":{"resolver":"https://pith.science/pith/TQFL5BZMW6T7QB7436LYWKS5OU","bundle":"https://pith.science/pith/TQFL5BZMW6T7QB7436LYWKS5OU/bundle.json","state":"https://pith.science/pith/TQFL5BZMW6T7QB7436LYWKS5OU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TQFL5BZMW6T7QB7436LYWKS5OU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:TQFL5BZMW6T7QB7436LYWKS5OU","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":"35adbc11a6daf021e94a579295d37cfcfa8632c5d052af5f67dd886fd835dc15","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2022-05-13T18:01:05Z","title_canon_sha256":"10ece80c5b7c1667ac6bf2dc8d272dea5131d80079bc2ff84c26541fe4e2ffb1"},"schema_version":"1.0","source":{"id":"2205.06830","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.06830","created_at":"2026-07-05T04:50:17Z"},{"alias_kind":"arxiv_version","alias_value":"2205.06830v2","created_at":"2026-07-05T04:50:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.06830","created_at":"2026-07-05T04:50:17Z"},{"alias_kind":"pith_short_12","alias_value":"TQFL5BZMW6T7","created_at":"2026-07-05T04:50:17Z"},{"alias_kind":"pith_short_16","alias_value":"TQFL5BZMW6T7QB74","created_at":"2026-07-05T04:50:17Z"},{"alias_kind":"pith_short_8","alias_value":"TQFL5BZM","created_at":"2026-07-05T04:50:17Z"}],"graph_snapshots":[{"event_id":"sha256:7d31d8e8fe780992f820cf50596e7ff8b121f9c644b6abdac1cea7ca919afa71","target":"graph","created_at":"2026-07-05T04:50:17Z","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/2205.06830/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Lattice dynamics play a crucial role in the physics of Moir\\'e systems. In twisted bilayer graphene (TBG), it was shown that, in addition to the graphene phonons, there is another set of gapless excitations termed Moir\\'e Phonons [Phys. Rev. B, 075416, 2019] reflecting the lattice dynamics at the Moire superlattice level. These modes were later suggested to be phasons due to the incommensurate stacking of the two graphene layers [Phys. Rev. B, 155426, 2019]. In this work, we elucidate the equivalence of these two seemingly distinct perspectives by identifying an underlying symmetry, which we d","authors_text":"Eslam Khalaf, Qiang Gao","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2022-05-13T18:01:05Z","title":"Symmetry Origin of Lattice Vibration Modes in Twisted Multilayer Graphene: Phasons vs Moir\\'e Phonons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.06830","kind":"arxiv","version":2},"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:ca77e7d3f2dd3b99d828cbd2e5080a9f6006e399c1f495a6bfffb273cb17f76d","target":"record","created_at":"2026-07-05T04:50:17Z","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":"35adbc11a6daf021e94a579295d37cfcfa8632c5d052af5f67dd886fd835dc15","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2022-05-13T18:01:05Z","title_canon_sha256":"10ece80c5b7c1667ac6bf2dc8d272dea5131d80079bc2ff84c26541fe4e2ffb1"},"schema_version":"1.0","source":{"id":"2205.06830","kind":"arxiv","version":2}},"canonical_sha256":"9c0abe872cb7a7f807fcdf978b2a5d753624ffe633a85306596485e7ede7105e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c0abe872cb7a7f807fcdf978b2a5d753624ffe633a85306596485e7ede7105e","first_computed_at":"2026-07-05T04:50:17.066225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:50:17.066225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pTHadLvkdlne2woEW/AC3mxCEecEwrCzu1nXxDNk/59SmpH/rIsE8VQq8dkcK+FwW+UxyZU51YCDDyTv+lGuCw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:50:17.066633Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.06830","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca77e7d3f2dd3b99d828cbd2e5080a9f6006e399c1f495a6bfffb273cb17f76d","sha256:7d31d8e8fe780992f820cf50596e7ff8b121f9c644b6abdac1cea7ca919afa71"],"state_sha256":"048899d7c435ad4ddec80e662c79c26904bf31ffa6ed2bfcbc0b2edf6cc722e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9GT+ubdyeaqIJ5E9oANfqWVqjKcjKXU0hbWVoWSsFDKpi61GZZYkXh0tiZKLvHgGcoPldiKl+Nns5gKH7MFyAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T02:19:14.150338Z","bundle_sha256":"7252570c121a2abee8f26b0c4879e9a562efa5789ba100fcec70ef2547369e93"}}