{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:MRRAKUFWZEEHMUIVJAK3KI46VL","short_pith_number":"pith:MRRAKUFW","schema_version":"1.0","canonical_sha256":"64620550b6c9087651154815b5239eaacb3567c1d1905c50cb4567062d476de0","source":{"kind":"arxiv","id":"0901.1071","version":1},"attestation_state":"computed","paper":{"title":"Singlet and triplet bipolarons on the triangular lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"A.S.Alexandrov, J.H.Samson, J.P.Hague, P.E.Kornilovitch","submitted_at":"2009-01-08T15:39:18Z","abstract_excerpt":"We study the Coulomb-Fr\\\"ohlich model on a triangular lattice, looking in particular at states with angular momentum. We examine a simplified model of crab bipolarons with angular momentum by projecting onto the low energy subspace of the Coulomb-Fr\\\"ohlich model with large phonon frequency. Such a projection is consistent with large long-range electron-phonon coupling and large repulsive Hubbard $U$. Significant differences are found between the band structure of singlet and triplet states: The triplet state (which has a flat band) is found to be significantly heavier than the singlet state ("},"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":"0901.1071","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-01-08T15:39:18Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"22ab3be2eff2c65ff0af25e3770e4f37a5132fcf5519ee4306272ff5be2d5c4e","abstract_canon_sha256":"cec60eda88859c34211ecfdfe340cfc7b266e17c109ccdd2e78ab9520bd48559"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:35:54.377443Z","signature_b64":"S1xBe80AbGZjiExxMIhAUXW8ttG3KIv/snm08uBiO8Bbkjo+QJVVscxRdMGfo6j9M0oQkmLkgf7Dlvj5vmoNAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64620550b6c9087651154815b5239eaacb3567c1d1905c50cb4567062d476de0","last_reissued_at":"2026-07-04T15:35:54.377035Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:35:54.377035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Singlet and triplet bipolarons on the triangular lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"A.S.Alexandrov, J.H.Samson, J.P.Hague, P.E.Kornilovitch","submitted_at":"2009-01-08T15:39:18Z","abstract_excerpt":"We study the Coulomb-Fr\\\"ohlich model on a triangular lattice, looking in particular at states with angular momentum. We examine a simplified model of crab bipolarons with angular momentum by projecting onto the low energy subspace of the Coulomb-Fr\\\"ohlich model with large phonon frequency. Such a projection is consistent with large long-range electron-phonon coupling and large repulsive Hubbard $U$. Significant differences are found between the band structure of singlet and triplet states: The triplet state (which has a flat band) is found to be significantly heavier than the singlet state ("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.1071","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/0901.1071/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":"0901.1071","created_at":"2026-07-04T15:35:54.377089+00:00"},{"alias_kind":"arxiv_version","alias_value":"0901.1071v1","created_at":"2026-07-04T15:35:54.377089+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.1071","created_at":"2026-07-04T15:35:54.377089+00:00"},{"alias_kind":"pith_short_12","alias_value":"MRRAKUFWZEEH","created_at":"2026-07-04T15:35:54.377089+00:00"},{"alias_kind":"pith_short_16","alias_value":"MRRAKUFWZEEHMUIV","created_at":"2026-07-04T15:35:54.377089+00:00"},{"alias_kind":"pith_short_8","alias_value":"MRRAKUFW","created_at":"2026-07-04T15:35:54.377089+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/MRRAKUFWZEEHMUIVJAK3KI46VL","json":"https://pith.science/pith/MRRAKUFWZEEHMUIVJAK3KI46VL.json","graph_json":"https://pith.science/api/pith-number/MRRAKUFWZEEHMUIVJAK3KI46VL/graph.json","events_json":"https://pith.science/api/pith-number/MRRAKUFWZEEHMUIVJAK3KI46VL/events.json","paper":"https://pith.science/paper/MRRAKUFW"},"agent_actions":{"view_html":"https://pith.science/pith/MRRAKUFWZEEHMUIVJAK3KI46VL","download_json":"https://pith.science/pith/MRRAKUFWZEEHMUIVJAK3KI46VL.json","view_paper":"https://pith.science/paper/MRRAKUFW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0901.1071&json=true","fetch_graph":"https://pith.science/api/pith-number/MRRAKUFWZEEHMUIVJAK3KI46VL/graph.json","fetch_events":"https://pith.science/api/pith-number/MRRAKUFWZEEHMUIVJAK3KI46VL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MRRAKUFWZEEHMUIVJAK3KI46VL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MRRAKUFWZEEHMUIVJAK3KI46VL/action/storage_attestation","attest_author":"https://pith.science/pith/MRRAKUFWZEEHMUIVJAK3KI46VL/action/author_attestation","sign_citation":"https://pith.science/pith/MRRAKUFWZEEHMUIVJAK3KI46VL/action/citation_signature","submit_replication":"https://pith.science/pith/MRRAKUFWZEEHMUIVJAK3KI46VL/action/replication_record"}},"created_at":"2026-07-04T15:35:54.377089+00:00","updated_at":"2026-07-04T15:35:54.377089+00:00"}