{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:I3FL5ZJC7S3D2YKVG674IURITJ","short_pith_number":"pith:I3FL5ZJC","schema_version":"1.0","canonical_sha256":"46cabee522fcb63d615537bfc452289a6c778ad7e98bd80b569fafb719056cbc","source":{"kind":"arxiv","id":"2607.06711","version":1},"attestation_state":"computed","paper":{"title":"Moir\\'e Phonon Condensation in Magic-Angle Twisted Bilayer Graphene","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","cond-mat.str-el","physics.comp-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Hong Guo, Jyun-jie Jiang, Xianghua Kong, Zhanghao Zhouyin","submitted_at":"2026-07-07T18:25:40Z","abstract_excerpt":"Twisted bilayer graphene reconstructs from weak breathing corrugation to large common bending near the magic angle, but the origin of this collective crossover has remained unclear. Here we show that the crossover is a soft-mode condensation of layer-symmetric $A_1$ moir\\'e flexural phonons: these modes soften on the breathing branch, lose stiffness near the magic angle, and freeze into the bending morphology. We call this mechanism Moir\\'e Phonon Condensation (MPC). At $\\theta=1.08^\\circ$, it is extremely surprising that displacements of all 11164 atoms in the moir\\'e supercell, with a maximu"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.06711","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2026-07-07T18:25:40Z","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.str-el","physics.comp-ph"],"title_canon_sha256":"378f5582222eb7992039b868af25e76235c5847d481f94a140ac8ecd99bb1ab5","abstract_canon_sha256":"f06b99f21d1de19e3a491d5a5c864713dcb941d12d62fafb06e9f58f903ca00e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-09T00:19:24.220236Z","signature_b64":"BCbkC/jk68zu7w1J3kKuu4jJQ4P7ZfSg/9mNv1nB9DaxTrso/7/tMpytzestTlBz2xMfLr+bezqrq3QH4lrnAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46cabee522fcb63d615537bfc452289a6c778ad7e98bd80b569fafb719056cbc","last_reissued_at":"2026-07-09T00:19:24.219818Z","signature_status":"signed_v1","first_computed_at":"2026-07-09T00:19:24.219818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Moir\\'e Phonon Condensation in Magic-Angle Twisted Bilayer Graphene","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","cond-mat.str-el","physics.comp-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Hong Guo, Jyun-jie Jiang, Xianghua Kong, Zhanghao Zhouyin","submitted_at":"2026-07-07T18:25:40Z","abstract_excerpt":"Twisted bilayer graphene reconstructs from weak breathing corrugation to large common bending near the magic angle, but the origin of this collective crossover has remained unclear. Here we show that the crossover is a soft-mode condensation of layer-symmetric $A_1$ moir\\'e flexural phonons: these modes soften on the breathing branch, lose stiffness near the magic angle, and freeze into the bending morphology. We call this mechanism Moir\\'e Phonon Condensation (MPC). At $\\theta=1.08^\\circ$, it is extremely surprising that displacements of all 11164 atoms in the moir\\'e supercell, with a maximu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.06711","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/2607.06711/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.06711","created_at":"2026-07-09T00:19:24.219879+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.06711v1","created_at":"2026-07-09T00:19:24.219879+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.06711","created_at":"2026-07-09T00:19:24.219879+00:00"},{"alias_kind":"pith_short_12","alias_value":"I3FL5ZJC7S3D","created_at":"2026-07-09T00:19:24.219879+00:00"},{"alias_kind":"pith_short_16","alias_value":"I3FL5ZJC7S3D2YKV","created_at":"2026-07-09T00:19:24.219879+00:00"},{"alias_kind":"pith_short_8","alias_value":"I3FL5ZJC","created_at":"2026-07-09T00:19:24.219879+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I3FL5ZJC7S3D2YKVG674IURITJ","json":"https://pith.science/pith/I3FL5ZJC7S3D2YKVG674IURITJ.json","graph_json":"https://pith.science/api/pith-number/I3FL5ZJC7S3D2YKVG674IURITJ/graph.json","events_json":"https://pith.science/api/pith-number/I3FL5ZJC7S3D2YKVG674IURITJ/events.json","paper":"https://pith.science/paper/I3FL5ZJC"},"agent_actions":{"view_html":"https://pith.science/pith/I3FL5ZJC7S3D2YKVG674IURITJ","download_json":"https://pith.science/pith/I3FL5ZJC7S3D2YKVG674IURITJ.json","view_paper":"https://pith.science/paper/I3FL5ZJC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.06711&json=true","fetch_graph":"https://pith.science/api/pith-number/I3FL5ZJC7S3D2YKVG674IURITJ/graph.json","fetch_events":"https://pith.science/api/pith-number/I3FL5ZJC7S3D2YKVG674IURITJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I3FL5ZJC7S3D2YKVG674IURITJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I3FL5ZJC7S3D2YKVG674IURITJ/action/storage_attestation","attest_author":"https://pith.science/pith/I3FL5ZJC7S3D2YKVG674IURITJ/action/author_attestation","sign_citation":"https://pith.science/pith/I3FL5ZJC7S3D2YKVG674IURITJ/action/citation_signature","submit_replication":"https://pith.science/pith/I3FL5ZJC7S3D2YKVG674IURITJ/action/replication_record"}},"created_at":"2026-07-09T00:19:24.219879+00:00","updated_at":"2026-07-09T00:19:24.219879+00:00"}