{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:SDLYPFTBOTYPJXRMM7Q42IDZ3A","short_pith_number":"pith:SDLYPFTB","canonical_record":{"source":{"id":"2312.12864","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2023-12-20T09:27:32Z","cross_cats_sorted":[],"title_canon_sha256":"c5c0b3a8e4651d761fdf88026c48ae7ca82f632735811df228118341931e23bb","abstract_canon_sha256":"5db71391e5f74e253cfd3aca4554712f8cb73419f289a49c460899e930920602"},"schema_version":"1.0"},"canonical_sha256":"90d787966174f0f4de2c67e1cd2079d81b4170aded9796b7b176d1705039b6fe","source":{"kind":"arxiv","id":"2312.12864","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.12864","created_at":"2026-07-05T10:02:42Z"},{"alias_kind":"arxiv_version","alias_value":"2312.12864v2","created_at":"2026-07-05T10:02:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.12864","created_at":"2026-07-05T10:02:42Z"},{"alias_kind":"pith_short_12","alias_value":"SDLYPFTBOTYP","created_at":"2026-07-05T10:02:42Z"},{"alias_kind":"pith_short_16","alias_value":"SDLYPFTBOTYPJXRM","created_at":"2026-07-05T10:02:42Z"},{"alias_kind":"pith_short_8","alias_value":"SDLYPFTB","created_at":"2026-07-05T10:02:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:SDLYPFTBOTYPJXRMM7Q42IDZ3A","target":"record","payload":{"canonical_record":{"source":{"id":"2312.12864","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2023-12-20T09:27:32Z","cross_cats_sorted":[],"title_canon_sha256":"c5c0b3a8e4651d761fdf88026c48ae7ca82f632735811df228118341931e23bb","abstract_canon_sha256":"5db71391e5f74e253cfd3aca4554712f8cb73419f289a49c460899e930920602"},"schema_version":"1.0"},"canonical_sha256":"90d787966174f0f4de2c67e1cd2079d81b4170aded9796b7b176d1705039b6fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:02:42.763000Z","signature_b64":"34g1L8Mabn8cqYMwPh8sHHAOaWJgI5kFuq9EOpUMbv6kwGuHike3uuc4fxU37KCik+juSEarpryN7V60VXLLCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90d787966174f0f4de2c67e1cd2079d81b4170aded9796b7b176d1705039b6fe","last_reissued_at":"2026-07-05T10:02:42.762519Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:02:42.762519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.12864","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":"2026-07-05T10:02:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2EoS5/8+I//Hhsr48MXsDP+9/BG+9gazs3jvks+5Dsw03LUIUM+YJp+K/I/v6g5IGU6+oDxjTQ5qMrbiOEWEDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T00:27:29.528746Z"},"content_sha256":"9fe0c0572a407c79cbc01d5f420dcfca45a5608bc153c15fe6dfebb85e68185a","schema_version":"1.0","event_id":"sha256:9fe0c0572a407c79cbc01d5f420dcfca45a5608bc153c15fe6dfebb85e68185a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:SDLYPFTBOTYPJXRMM7Q42IDZ3A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Emergent Atomic Environments in Twisted Bilayer Graphene and Their Use in the Prediction of the Vibrational Properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Dilara Ickecan, Dogan Erbahar, Erdi Ata Bleda, Yunus Emre Okyayli","submitted_at":"2023-12-20T09:27:32Z","abstract_excerpt":"While Bernal stacked bilayer graphene bears two distinct atom types in its lattice, there exists no analytical framework addressing the number of atomic environments that emerge in twisted bilayer graphene superlattices. Here, we computationally analyze 140 different twisted bilayer superlattices using descriptor functions to study the emergent local environments. Our study reveals that the number of atoms with unique local environments depend on the superlattice size linearly manifesting itself on two distinct lines in accordance with the respective space groups. We then introduce the use of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.12864","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/2312.12864/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":"2026-07-05T10:02:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SHPxzthxTqLh9/8jBdgkcRY17p07F3ei1W9WL/pGERP+EFsEGn1hYpmarW04+MW/lxMsqjZXc0Hmzodw0JVODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T00:27:29.529309Z"},"content_sha256":"237fcc0771397b4c14814982cf015ffc8b8f20ca5413a270df27ab875a88593e","schema_version":"1.0","event_id":"sha256:237fcc0771397b4c14814982cf015ffc8b8f20ca5413a270df27ab875a88593e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SDLYPFTBOTYPJXRMM7Q42IDZ3A/bundle.json","state_url":"https://pith.science/pith/SDLYPFTBOTYPJXRMM7Q42IDZ3A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SDLYPFTBOTYPJXRMM7Q42IDZ3A/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":"2026-08-04T00:27:29Z","links":{"resolver":"https://pith.science/pith/SDLYPFTBOTYPJXRMM7Q42IDZ3A","bundle":"https://pith.science/pith/SDLYPFTBOTYPJXRMM7Q42IDZ3A/bundle.json","state":"https://pith.science/pith/SDLYPFTBOTYPJXRMM7Q42IDZ3A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SDLYPFTBOTYPJXRMM7Q42IDZ3A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:SDLYPFTBOTYPJXRMM7Q42IDZ3A","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":"5db71391e5f74e253cfd3aca4554712f8cb73419f289a49c460899e930920602","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2023-12-20T09:27:32Z","title_canon_sha256":"c5c0b3a8e4651d761fdf88026c48ae7ca82f632735811df228118341931e23bb"},"schema_version":"1.0","source":{"id":"2312.12864","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.12864","created_at":"2026-07-05T10:02:42Z"},{"alias_kind":"arxiv_version","alias_value":"2312.12864v2","created_at":"2026-07-05T10:02:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.12864","created_at":"2026-07-05T10:02:42Z"},{"alias_kind":"pith_short_12","alias_value":"SDLYPFTBOTYP","created_at":"2026-07-05T10:02:42Z"},{"alias_kind":"pith_short_16","alias_value":"SDLYPFTBOTYPJXRM","created_at":"2026-07-05T10:02:42Z"},{"alias_kind":"pith_short_8","alias_value":"SDLYPFTB","created_at":"2026-07-05T10:02:42Z"}],"graph_snapshots":[{"event_id":"sha256:237fcc0771397b4c14814982cf015ffc8b8f20ca5413a270df27ab875a88593e","target":"graph","created_at":"2026-07-05T10:02:42Z","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/2312.12864/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"While Bernal stacked bilayer graphene bears two distinct atom types in its lattice, there exists no analytical framework addressing the number of atomic environments that emerge in twisted bilayer graphene superlattices. Here, we computationally analyze 140 different twisted bilayer superlattices using descriptor functions to study the emergent local environments. Our study reveals that the number of atoms with unique local environments depend on the superlattice size linearly manifesting itself on two distinct lines in accordance with the respective space groups. We then introduce the use of ","authors_text":"Dilara Ickecan, Dogan Erbahar, Erdi Ata Bleda, Yunus Emre Okyayli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2023-12-20T09:27:32Z","title":"Emergent Atomic Environments in Twisted Bilayer Graphene and Their Use in the Prediction of the Vibrational Properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.12864","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":"sha256:9fe0c0572a407c79cbc01d5f420dcfca45a5608bc153c15fe6dfebb85e68185a","target":"record","created_at":"2026-07-05T10:02:42Z","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":"5db71391e5f74e253cfd3aca4554712f8cb73419f289a49c460899e930920602","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2023-12-20T09:27:32Z","title_canon_sha256":"c5c0b3a8e4651d761fdf88026c48ae7ca82f632735811df228118341931e23bb"},"schema_version":"1.0","source":{"id":"2312.12864","kind":"arxiv","version":2}},"canonical_sha256":"90d787966174f0f4de2c67e1cd2079d81b4170aded9796b7b176d1705039b6fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90d787966174f0f4de2c67e1cd2079d81b4170aded9796b7b176d1705039b6fe","first_computed_at":"2026-07-05T10:02:42.762519Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:02:42.762519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"34g1L8Mabn8cqYMwPh8sHHAOaWJgI5kFuq9EOpUMbv6kwGuHike3uuc4fxU37KCik+juSEarpryN7V60VXLLCg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:02:42.763000Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.12864","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fe0c0572a407c79cbc01d5f420dcfca45a5608bc153c15fe6dfebb85e68185a","sha256:237fcc0771397b4c14814982cf015ffc8b8f20ca5413a270df27ab875a88593e"],"state_sha256":"1b5180d282dfa66a1a632564ad920683867dc1b6c83d0cdb163b5b4786dedb5a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mi1RWxhODWpNhf2QqO7rohjNWEdr+4Yq0unvtwrIKCjBYW+M3xy/QKrufwUnTekjclmNv15elJe0UMJx+YIiCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T00:27:29.533945Z","bundle_sha256":"73a83b148a6c61ecabfa17e91d0bbc3b9bf7c31ce3f4cc81c77e3b0806fab245"}}