{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:HP5ONOAQWAGZTMX5RMEUOCQCFB","short_pith_number":"pith:HP5ONOAQ","canonical_record":{"source":{"id":"1210.7590","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-10-29T08:40:17Z","cross_cats_sorted":[],"title_canon_sha256":"67dc4fb8885c0d7e139e00d367190467050aebf46a6d392ce0f5f62659c221e3","abstract_canon_sha256":"9ab71bcf533ade42ed92da76dcf14688af637db0078794c18e948a0d8f061bfb"},"schema_version":"1.0"},"canonical_sha256":"3bfae6b810b00d99b2fd8b09470a022874c295dfd3437b35422cd3deab95a219","source":{"kind":"arxiv","id":"1210.7590","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.7590","created_at":"2026-05-18T03:28:42Z"},{"alias_kind":"arxiv_version","alias_value":"1210.7590v3","created_at":"2026-05-18T03:28:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7590","created_at":"2026-05-18T03:28:42Z"},{"alias_kind":"pith_short_12","alias_value":"HP5ONOAQWAGZ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HP5ONOAQWAGZTMX5","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HP5ONOAQ","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:HP5ONOAQWAGZTMX5RMEUOCQCFB","target":"record","payload":{"canonical_record":{"source":{"id":"1210.7590","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-10-29T08:40:17Z","cross_cats_sorted":[],"title_canon_sha256":"67dc4fb8885c0d7e139e00d367190467050aebf46a6d392ce0f5f62659c221e3","abstract_canon_sha256":"9ab71bcf533ade42ed92da76dcf14688af637db0078794c18e948a0d8f061bfb"},"schema_version":"1.0"},"canonical_sha256":"3bfae6b810b00d99b2fd8b09470a022874c295dfd3437b35422cd3deab95a219","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:42.397875Z","signature_b64":"71bu/NwQeJPwxkni69ilr+ABkWmkL+xFGYPenUD9XGIljQhMcNCCxl4kO8TOZdw0++1A4ub5m2bcGv3sgUNPCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3bfae6b810b00d99b2fd8b09470a022874c295dfd3437b35422cd3deab95a219","last_reissued_at":"2026-05-18T03:28:42.397357Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:42.397357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.7590","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:28:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aMItgbcSQJW5636x9zd8OnKCvFRs+2I0TIGsk/686BOpo0BlxdtTlsj3G0Rd2KrgiMMzC4nqr0o2uZeO8JUGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T08:16:28.538572Z"},"content_sha256":"1ac88990ebdf677aebb706177ef5bc0b8400ace13f7198ab2db4b87435e2340d","schema_version":"1.0","event_id":"sha256:1ac88990ebdf677aebb706177ef5bc0b8400ace13f7198ab2db4b87435e2340d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:HP5ONOAQWAGZTMX5RMEUOCQCFB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flat band electrons and interactions in rhombohedral trilayer graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Fu-Chun Zhang, Hao Wang, Jin-Hua Gao","submitted_at":"2012-10-29T08:40:17Z","abstract_excerpt":"Multilayer graphene systems with a rhombohedral stacking order harbor nearly flat bands in their single-particle spectrum. We propose ansatz states to describe the surface-localized states of flat band electrons. The absence of kinetic dispersion near the fermi level leaves the interaction as a dominate mechanism to govern the low energy physics of a low density electron system. We build up an effective lattice model in two interacting low-energy bands, where the full terms of the Coulomb interaction, including those long-range and off-diagonal parts, have been considered. The interaction matr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7590","kind":"arxiv","version":3},"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":"2026-05-18T03:28:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ln3cWf89+qyvGOT32Fg3ez2XLoUM5g8VjMvYqvG4OHmv760uf9zDFKBtLjxVzSyYSkO7JFP031Br9aSGnARbAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T08:16:28.539156Z"},"content_sha256":"3629704c7efb13fee8f24a1599ffffb4e56d6b762b94306b1321bc9dd8bd4bc7","schema_version":"1.0","event_id":"sha256:3629704c7efb13fee8f24a1599ffffb4e56d6b762b94306b1321bc9dd8bd4bc7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HP5ONOAQWAGZTMX5RMEUOCQCFB/bundle.json","state_url":"https://pith.science/pith/HP5ONOAQWAGZTMX5RMEUOCQCFB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HP5ONOAQWAGZTMX5RMEUOCQCFB/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":"2026-06-12T08:16:28Z","links":{"resolver":"https://pith.science/pith/HP5ONOAQWAGZTMX5RMEUOCQCFB","bundle":"https://pith.science/pith/HP5ONOAQWAGZTMX5RMEUOCQCFB/bundle.json","state":"https://pith.science/pith/HP5ONOAQWAGZTMX5RMEUOCQCFB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HP5ONOAQWAGZTMX5RMEUOCQCFB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HP5ONOAQWAGZTMX5RMEUOCQCFB","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":"9ab71bcf533ade42ed92da76dcf14688af637db0078794c18e948a0d8f061bfb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-10-29T08:40:17Z","title_canon_sha256":"67dc4fb8885c0d7e139e00d367190467050aebf46a6d392ce0f5f62659c221e3"},"schema_version":"1.0","source":{"id":"1210.7590","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.7590","created_at":"2026-05-18T03:28:42Z"},{"alias_kind":"arxiv_version","alias_value":"1210.7590v3","created_at":"2026-05-18T03:28:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7590","created_at":"2026-05-18T03:28:42Z"},{"alias_kind":"pith_short_12","alias_value":"HP5ONOAQWAGZ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HP5ONOAQWAGZTMX5","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HP5ONOAQ","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:3629704c7efb13fee8f24a1599ffffb4e56d6b762b94306b1321bc9dd8bd4bc7","target":"graph","created_at":"2026-05-18T03:28:42Z","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"},"paper":{"abstract_excerpt":"Multilayer graphene systems with a rhombohedral stacking order harbor nearly flat bands in their single-particle spectrum. We propose ansatz states to describe the surface-localized states of flat band electrons. The absence of kinetic dispersion near the fermi level leaves the interaction as a dominate mechanism to govern the low energy physics of a low density electron system. We build up an effective lattice model in two interacting low-energy bands, where the full terms of the Coulomb interaction, including those long-range and off-diagonal parts, have been considered. The interaction matr","authors_text":"Fu-Chun Zhang, Hao Wang, Jin-Hua Gao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-10-29T08:40:17Z","title":"Flat band electrons and interactions in rhombohedral trilayer graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7590","kind":"arxiv","version":3},"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":"sha256:1ac88990ebdf677aebb706177ef5bc0b8400ace13f7198ab2db4b87435e2340d","target":"record","created_at":"2026-05-18T03:28:42Z","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":"9ab71bcf533ade42ed92da76dcf14688af637db0078794c18e948a0d8f061bfb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-10-29T08:40:17Z","title_canon_sha256":"67dc4fb8885c0d7e139e00d367190467050aebf46a6d392ce0f5f62659c221e3"},"schema_version":"1.0","source":{"id":"1210.7590","kind":"arxiv","version":3}},"canonical_sha256":"3bfae6b810b00d99b2fd8b09470a022874c295dfd3437b35422cd3deab95a219","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bfae6b810b00d99b2fd8b09470a022874c295dfd3437b35422cd3deab95a219","first_computed_at":"2026-05-18T03:28:42.397357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:42.397357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"71bu/NwQeJPwxkni69ilr+ABkWmkL+xFGYPenUD9XGIljQhMcNCCxl4kO8TOZdw0++1A4ub5m2bcGv3sgUNPCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:42.397875Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.7590","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ac88990ebdf677aebb706177ef5bc0b8400ace13f7198ab2db4b87435e2340d","sha256:3629704c7efb13fee8f24a1599ffffb4e56d6b762b94306b1321bc9dd8bd4bc7"],"state_sha256":"94fb93febf11baf0dbaf2e4ec55e7bb5d4e8015e00203b398d1c8190a9fbaaab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XKslpGNlTv1iLm5H7k/9WRi9twlutOw7y3EHXlF1G5ymYZqziTRdSLYp//E8A5x4KEvNb2tEBhMrdZlniVvWAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T08:16:28.542342Z","bundle_sha256":"398b902f2f453d78e0bbaa30bb508386390add17304e0f510942058e82d8d2a2"}}