{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:MRRAKUFWZEEHMUIVJAK3KI46VL","short_pith_number":"pith:MRRAKUFW","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"},"canonical_sha256":"64620550b6c9087651154815b5239eaacb3567c1d1905c50cb4567062d476de0","source":{"kind":"arxiv","id":"0901.1071","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.1071","created_at":"2026-07-04T15:35:54Z"},{"alias_kind":"arxiv_version","alias_value":"0901.1071v1","created_at":"2026-07-04T15:35:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.1071","created_at":"2026-07-04T15:35:54Z"},{"alias_kind":"pith_short_12","alias_value":"MRRAKUFWZEEH","created_at":"2026-07-04T15:35:54Z"},{"alias_kind":"pith_short_16","alias_value":"MRRAKUFWZEEHMUIV","created_at":"2026-07-04T15:35:54Z"},{"alias_kind":"pith_short_8","alias_value":"MRRAKUFW","created_at":"2026-07-04T15:35:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:MRRAKUFWZEEHMUIVJAK3KI46VL","target":"record","payload":{"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"},"canonical_sha256":"64620550b6c9087651154815b5239eaacb3567c1d1905c50cb4567062d476de0","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"},"source_kind":"arxiv","source_id":"0901.1071","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:35:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3acOry10hcbZEHNIHOAvALpGzj82taF8tCNXX284U71DCFtQhqWGOOD4USxm9UCRKf334XmcrWOt2RjiMO4MAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T09:07:12.400473Z"},"content_sha256":"ab8ace774e7605eeb6a98f22e8f7ff9d45a3c00d6577c7434dbbfc4f8a314ad0","schema_version":"1.0","event_id":"sha256:ab8ace774e7605eeb6a98f22e8f7ff9d45a3c00d6577c7434dbbfc4f8a314ad0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:MRRAKUFWZEEHMUIVJAK3KI46VL","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:35:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WhXfZGmsb+3pcEyn92mdg+y1htlhgbeZvTT16+UvtUHL8wkZ5F5LhNPU0SppNqXDWfHZUW+BUoHajkjLg3ozDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T09:07:12.400844Z"},"content_sha256":"651e88bede32423d0be597990207fd7013885b32c2a5f04d06d8d0b8c9268737","schema_version":"1.0","event_id":"sha256:651e88bede32423d0be597990207fd7013885b32c2a5f04d06d8d0b8c9268737"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MRRAKUFWZEEHMUIVJAK3KI46VL/bundle.json","state_url":"https://pith.science/pith/MRRAKUFWZEEHMUIVJAK3KI46VL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MRRAKUFWZEEHMUIVJAK3KI46VL/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":"2026-07-05T09:07:12Z","links":{"resolver":"https://pith.science/pith/MRRAKUFWZEEHMUIVJAK3KI46VL","bundle":"https://pith.science/pith/MRRAKUFWZEEHMUIVJAK3KI46VL/bundle.json","state":"https://pith.science/pith/MRRAKUFWZEEHMUIVJAK3KI46VL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MRRAKUFWZEEHMUIVJAK3KI46VL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:MRRAKUFWZEEHMUIVJAK3KI46VL","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":"cec60eda88859c34211ecfdfe340cfc7b266e17c109ccdd2e78ab9520bd48559","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-01-08T15:39:18Z","title_canon_sha256":"22ab3be2eff2c65ff0af25e3770e4f37a5132fcf5519ee4306272ff5be2d5c4e"},"schema_version":"1.0","source":{"id":"0901.1071","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.1071","created_at":"2026-07-04T15:35:54Z"},{"alias_kind":"arxiv_version","alias_value":"0901.1071v1","created_at":"2026-07-04T15:35:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.1071","created_at":"2026-07-04T15:35:54Z"},{"alias_kind":"pith_short_12","alias_value":"MRRAKUFWZEEH","created_at":"2026-07-04T15:35:54Z"},{"alias_kind":"pith_short_16","alias_value":"MRRAKUFWZEEHMUIV","created_at":"2026-07-04T15:35:54Z"},{"alias_kind":"pith_short_8","alias_value":"MRRAKUFW","created_at":"2026-07-04T15:35:54Z"}],"graph_snapshots":[{"event_id":"sha256:651e88bede32423d0be597990207fd7013885b32c2a5f04d06d8d0b8c9268737","target":"graph","created_at":"2026-07-04T15:35:54Z","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/0901.1071/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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 (","authors_text":"A.S.Alexandrov, J.H.Samson, J.P.Hague, P.E.Kornilovitch","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-01-08T15:39:18Z","title":"Singlet and triplet bipolarons on the triangular lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.1071","kind":"arxiv","version":1},"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:ab8ace774e7605eeb6a98f22e8f7ff9d45a3c00d6577c7434dbbfc4f8a314ad0","target":"record","created_at":"2026-07-04T15:35:54Z","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":"cec60eda88859c34211ecfdfe340cfc7b266e17c109ccdd2e78ab9520bd48559","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-01-08T15:39:18Z","title_canon_sha256":"22ab3be2eff2c65ff0af25e3770e4f37a5132fcf5519ee4306272ff5be2d5c4e"},"schema_version":"1.0","source":{"id":"0901.1071","kind":"arxiv","version":1}},"canonical_sha256":"64620550b6c9087651154815b5239eaacb3567c1d1905c50cb4567062d476de0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64620550b6c9087651154815b5239eaacb3567c1d1905c50cb4567062d476de0","first_computed_at":"2026-07-04T15:35:54.377035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:35:54.377035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S1xBe80AbGZjiExxMIhAUXW8ttG3KIv/snm08uBiO8Bbkjo+QJVVscxRdMGfo6j9M0oQkmLkgf7Dlvj5vmoNAw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:35:54.377443Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.1071","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab8ace774e7605eeb6a98f22e8f7ff9d45a3c00d6577c7434dbbfc4f8a314ad0","sha256:651e88bede32423d0be597990207fd7013885b32c2a5f04d06d8d0b8c9268737"],"state_sha256":"f2cee1233c21761d9e4ce6b3626c31026042a79dba08b1923c5b6cf01e8122cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nuitkvBIsJc+XM/vceRTUjq2tZ06pMABE2J8BTzvQc8eHOKoAhTBJZ1rmSOJMTdHOOJ24KfzJnQPhikQvdC8Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T09:07:12.403128Z","bundle_sha256":"96bf0786008e38648806fe4c8559630c2c8b7868921b8edc692f09ad74fe4c31"}}