{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:WG3PH2RRPKL7VHJYE6CTLIQRTZ","short_pith_number":"pith:WG3PH2RR","canonical_record":{"source":{"id":"1805.09359","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-23T18:05:06Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"3d15034fd0e42a6dca77e3de63bf7c5484da11867433b7765cc81e1222dad24f","abstract_canon_sha256":"ab1a0e75728bb457f01c72e8c7c1014636c056926d119a2344465864f9fb2294"},"schema_version":"1.0"},"canonical_sha256":"b1b6f3ea317a97fa9d38278535a2119e656de191951be2b42ad7eed7d1fbca34","source":{"kind":"arxiv","id":"1805.09359","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09359","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09359v2","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09359","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"pith_short_12","alias_value":"WG3PH2RRPKL7","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WG3PH2RRPKL7VHJY","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WG3PH2RR","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:WG3PH2RRPKL7VHJYE6CTLIQRTZ","target":"record","payload":{"canonical_record":{"source":{"id":"1805.09359","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-23T18:05:06Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"3d15034fd0e42a6dca77e3de63bf7c5484da11867433b7765cc81e1222dad24f","abstract_canon_sha256":"ab1a0e75728bb457f01c72e8c7c1014636c056926d119a2344465864f9fb2294"},"schema_version":"1.0"},"canonical_sha256":"b1b6f3ea317a97fa9d38278535a2119e656de191951be2b42ad7eed7d1fbca34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:17.846884Z","signature_b64":"kaZrjNGAXWpBQoLQEF7uQSkSGuAaz6jw+6KGJ2/K7Oc64PK6sTuk63DuarZmi4iC4wgVe0CjxEKiOcSSpnrVDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1b6f3ea317a97fa9d38278535a2119e656de191951be2b42ad7eed7d1fbca34","last_reissued_at":"2026-05-18T00:02:17.846385Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:17.846385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.09359","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":"2026-05-18T00:02:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yn1/4Dq96KcAnYnPVzyr9eo4GZoltdshkGTc9Dkc9cfazcBUKPW88RstoiUFFyiR5sM0Xn3UmyDigYjeHXnUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:47:37.060338Z"},"content_sha256":"73669060430ec2b8720a61e24f4fc89fd4773cc027717f304b766f419bb3b0e9","schema_version":"1.0","event_id":"sha256:73669060430ec2b8720a61e24f4fc89fd4773cc027717f304b766f419bb3b0e9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:WG3PH2RRPKL7VHJYE6CTLIQRTZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pairing and superconductivity in the flat band: Creutz 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":"Beno\\^it Gr\\'emaud, G. George Batrouni, Rubem Mondaini","submitted_at":"2018-05-23T18:05:06Z","abstract_excerpt":"We use unbiased numerical methods to study the onset of pair superfluidity in a system that displays flat bands in the noninteracting regime. This is achieved by using a known example of flat band systems, namely the Creutz lattice, where we investigate the role of local attractive interactions in the $U < 0$ Hubbard model. Going beyond the standard approach used in these systems where weak interactions are considered, we map the superfluid behavior for a wide range of interaction strengths and exhibit a crossover between BCS and tightly bound bosonic fermion pairs. We further contrast these r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09359","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":""},"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":"2026-05-18T00:02:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/O4iZlYPH2A5U0pjnXPRzW3zS8ZPSMzJgjr8IElZ8jcpovXgq6Tzxs/5GYLjmzKrPj7AZPjltRYrTLFjNigRDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:47:37.060878Z"},"content_sha256":"e02505c072aecf316161c28f4cd5620cc7dc40989702aaf34e1b9d0e5c17d7cf","schema_version":"1.0","event_id":"sha256:e02505c072aecf316161c28f4cd5620cc7dc40989702aaf34e1b9d0e5c17d7cf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WG3PH2RRPKL7VHJYE6CTLIQRTZ/bundle.json","state_url":"https://pith.science/pith/WG3PH2RRPKL7VHJYE6CTLIQRTZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WG3PH2RRPKL7VHJYE6CTLIQRTZ/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":"2026-05-25T15:47:37Z","links":{"resolver":"https://pith.science/pith/WG3PH2RRPKL7VHJYE6CTLIQRTZ","bundle":"https://pith.science/pith/WG3PH2RRPKL7VHJYE6CTLIQRTZ/bundle.json","state":"https://pith.science/pith/WG3PH2RRPKL7VHJYE6CTLIQRTZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WG3PH2RRPKL7VHJYE6CTLIQRTZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WG3PH2RRPKL7VHJYE6CTLIQRTZ","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":"ab1a0e75728bb457f01c72e8c7c1014636c056926d119a2344465864f9fb2294","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-23T18:05:06Z","title_canon_sha256":"3d15034fd0e42a6dca77e3de63bf7c5484da11867433b7765cc81e1222dad24f"},"schema_version":"1.0","source":{"id":"1805.09359","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09359","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09359v2","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09359","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"pith_short_12","alias_value":"WG3PH2RRPKL7","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WG3PH2RRPKL7VHJY","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WG3PH2RR","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:e02505c072aecf316161c28f4cd5620cc7dc40989702aaf34e1b9d0e5c17d7cf","target":"graph","created_at":"2026-05-18T00:02:17Z","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":"We use unbiased numerical methods to study the onset of pair superfluidity in a system that displays flat bands in the noninteracting regime. This is achieved by using a known example of flat band systems, namely the Creutz lattice, where we investigate the role of local attractive interactions in the $U < 0$ Hubbard model. Going beyond the standard approach used in these systems where weak interactions are considered, we map the superfluid behavior for a wide range of interaction strengths and exhibit a crossover between BCS and tightly bound bosonic fermion pairs. We further contrast these r","authors_text":"Beno\\^it Gr\\'emaud, G. George Batrouni, Rubem Mondaini","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-23T18:05:06Z","title":"Pairing and superconductivity in the flat band: Creutz lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09359","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":"sha256:73669060430ec2b8720a61e24f4fc89fd4773cc027717f304b766f419bb3b0e9","target":"record","created_at":"2026-05-18T00:02:17Z","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":"ab1a0e75728bb457f01c72e8c7c1014636c056926d119a2344465864f9fb2294","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-23T18:05:06Z","title_canon_sha256":"3d15034fd0e42a6dca77e3de63bf7c5484da11867433b7765cc81e1222dad24f"},"schema_version":"1.0","source":{"id":"1805.09359","kind":"arxiv","version":2}},"canonical_sha256":"b1b6f3ea317a97fa9d38278535a2119e656de191951be2b42ad7eed7d1fbca34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1b6f3ea317a97fa9d38278535a2119e656de191951be2b42ad7eed7d1fbca34","first_computed_at":"2026-05-18T00:02:17.846385Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:17.846385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kaZrjNGAXWpBQoLQEF7uQSkSGuAaz6jw+6KGJ2/K7Oc64PK6sTuk63DuarZmi4iC4wgVe0CjxEKiOcSSpnrVDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:17.846884Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.09359","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73669060430ec2b8720a61e24f4fc89fd4773cc027717f304b766f419bb3b0e9","sha256:e02505c072aecf316161c28f4cd5620cc7dc40989702aaf34e1b9d0e5c17d7cf"],"state_sha256":"6ca19178a8e072d526379bfe243f4ff19838d032df32d5687488e48bed438a36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"drxHJZF1hSvlZekPwKYvtp4JFcGW2OeOzcMzyZhcOdKSUUmpK9N+qJnGmA1KEx6rXbC93SgTN8dyXdFfXyU1AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T15:47:37.064108Z","bundle_sha256":"8c2042ccb7654fe9dce4fec007a7025ce8d1807f693028f1716cd2f296e4195b"}}