{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:WYRR5BO42P7PGPZ5GY4U6B3VID","short_pith_number":"pith:WYRR5BO4","canonical_record":{"source":{"id":"1309.6329","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-09-24T20:03:50Z","cross_cats_sorted":[],"title_canon_sha256":"2576e8f2d0fd48f92c44fa1ec5974fec544fb52599d3cf2d81c7a1af665afc47","abstract_canon_sha256":"99498ae2b7f03a8f8f2bc43f994eaeae7aaf58ffac189fb5ce726ee3bacbeacf"},"schema_version":"1.0"},"canonical_sha256":"b6231e85dcd3fef33f3d36394f077540f7ac69e9dd82bf278f2a496cdfa2354e","source":{"kind":"arxiv","id":"1309.6329","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.6329","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"arxiv_version","alias_value":"1309.6329v2","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6329","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"pith_short_12","alias_value":"WYRR5BO42P7P","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"WYRR5BO42P7PGPZ5","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"WYRR5BO4","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:WYRR5BO42P7PGPZ5GY4U6B3VID","target":"record","payload":{"canonical_record":{"source":{"id":"1309.6329","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-09-24T20:03:50Z","cross_cats_sorted":[],"title_canon_sha256":"2576e8f2d0fd48f92c44fa1ec5974fec544fb52599d3cf2d81c7a1af665afc47","abstract_canon_sha256":"99498ae2b7f03a8f8f2bc43f994eaeae7aaf58ffac189fb5ce726ee3bacbeacf"},"schema_version":"1.0"},"canonical_sha256":"b6231e85dcd3fef33f3d36394f077540f7ac69e9dd82bf278f2a496cdfa2354e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:18.030482Z","signature_b64":"BehjVbAZ4+QGyULKZDK5HLlA6TmMxkgaP+hWwW6zXcRLaX/ylESu73NcJEf+fqH7TT9J2BBt0wWpnqo6dO52AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6231e85dcd3fef33f3d36394f077540f7ac69e9dd82bf278f2a496cdfa2354e","last_reissued_at":"2026-05-18T03:05:18.030031Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:18.030031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.6329","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":"2026-05-18T03:05:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cy2lrzIqMfixmvgvx98pD5jcHOnB2P3Bsun2gn36LuYC0TN31vP+oIuBvErFOK3IlSv6NoAc1uBX/V3uem+IDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:02:33.828779Z"},"content_sha256":"e2ac3818469da6a295a19b215f9522dce64dc3c948bcce6cf1ce51d8aac6ddc5","schema_version":"1.0","event_id":"sha256:e2ac3818469da6a295a19b215f9522dce64dc3c948bcce6cf1ce51d8aac6ddc5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:WYRR5BO42P7PGPZ5GY4U6B3VID","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase diagram and pair Tomonaga-Luttinger liquid in a Bose-Hubbard model with flat bands","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Hideo Aoki, Hosho Katsura, Noriaki Watanabe, Shintaro Takayoshi","submitted_at":"2013-09-24T20:03:50Z","abstract_excerpt":"To explore superfluidity in flat-band systems, we consider a Bose-Hubbard model on a cross-linked ladder with $\\pi$ flux, which has a flat band with a gap between the other band for noninteracting particles, where we study the effect of the on-site repulsion nonperturbatively. For low densities, we find exact degenerate ground states, each of which is a Wigner solid with nonoverlapping Wannier states on the flat band. At higher densities, the many-body system, when projected onto the lower flat band, can be mapped to a spin-chain model. This mapping enables us to reveal the existence of a Tomo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6329","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":"2026-05-18T03:05:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7znspgyKnTxoe4QW3H62DkGOPTEhCZ+Rf+VxvwTMtBOjo0227HuwTG02qeTQRXKF/ZoNw3rZhfmMvAlcqzZuDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:02:33.829586Z"},"content_sha256":"5b9cd99f35a1a759f81563b3bc19f425301f2be69b7ccea9e304a69f5e04dbc6","schema_version":"1.0","event_id":"sha256:5b9cd99f35a1a759f81563b3bc19f425301f2be69b7ccea9e304a69f5e04dbc6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WYRR5BO42P7PGPZ5GY4U6B3VID/bundle.json","state_url":"https://pith.science/pith/WYRR5BO42P7PGPZ5GY4U6B3VID/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WYRR5BO42P7PGPZ5GY4U6B3VID/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":"2026-05-31T01:02:33Z","links":{"resolver":"https://pith.science/pith/WYRR5BO42P7PGPZ5GY4U6B3VID","bundle":"https://pith.science/pith/WYRR5BO42P7PGPZ5GY4U6B3VID/bundle.json","state":"https://pith.science/pith/WYRR5BO42P7PGPZ5GY4U6B3VID/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WYRR5BO42P7PGPZ5GY4U6B3VID/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WYRR5BO42P7PGPZ5GY4U6B3VID","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":"99498ae2b7f03a8f8f2bc43f994eaeae7aaf58ffac189fb5ce726ee3bacbeacf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-09-24T20:03:50Z","title_canon_sha256":"2576e8f2d0fd48f92c44fa1ec5974fec544fb52599d3cf2d81c7a1af665afc47"},"schema_version":"1.0","source":{"id":"1309.6329","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.6329","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"arxiv_version","alias_value":"1309.6329v2","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6329","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"pith_short_12","alias_value":"WYRR5BO42P7P","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"WYRR5BO42P7PGPZ5","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"WYRR5BO4","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:5b9cd99f35a1a759f81563b3bc19f425301f2be69b7ccea9e304a69f5e04dbc6","target":"graph","created_at":"2026-05-18T03:05:18Z","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":"To explore superfluidity in flat-band systems, we consider a Bose-Hubbard model on a cross-linked ladder with $\\pi$ flux, which has a flat band with a gap between the other band for noninteracting particles, where we study the effect of the on-site repulsion nonperturbatively. For low densities, we find exact degenerate ground states, each of which is a Wigner solid with nonoverlapping Wannier states on the flat band. At higher densities, the many-body system, when projected onto the lower flat band, can be mapped to a spin-chain model. This mapping enables us to reveal the existence of a Tomo","authors_text":"Hideo Aoki, Hosho Katsura, Noriaki Watanabe, Shintaro Takayoshi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-09-24T20:03:50Z","title":"Phase diagram and pair Tomonaga-Luttinger liquid in a Bose-Hubbard model with flat bands"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6329","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:e2ac3818469da6a295a19b215f9522dce64dc3c948bcce6cf1ce51d8aac6ddc5","target":"record","created_at":"2026-05-18T03:05:18Z","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":"99498ae2b7f03a8f8f2bc43f994eaeae7aaf58ffac189fb5ce726ee3bacbeacf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-09-24T20:03:50Z","title_canon_sha256":"2576e8f2d0fd48f92c44fa1ec5974fec544fb52599d3cf2d81c7a1af665afc47"},"schema_version":"1.0","source":{"id":"1309.6329","kind":"arxiv","version":2}},"canonical_sha256":"b6231e85dcd3fef33f3d36394f077540f7ac69e9dd82bf278f2a496cdfa2354e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6231e85dcd3fef33f3d36394f077540f7ac69e9dd82bf278f2a496cdfa2354e","first_computed_at":"2026-05-18T03:05:18.030031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:18.030031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BehjVbAZ4+QGyULKZDK5HLlA6TmMxkgaP+hWwW6zXcRLaX/ylESu73NcJEf+fqH7TT9J2BBt0wWpnqo6dO52AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:18.030482Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.6329","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2ac3818469da6a295a19b215f9522dce64dc3c948bcce6cf1ce51d8aac6ddc5","sha256:5b9cd99f35a1a759f81563b3bc19f425301f2be69b7ccea9e304a69f5e04dbc6"],"state_sha256":"70b771ab1ee44d4254573cc590d6db0b3cb7b4d8414b2500e08998b5bf105b7e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZMchF3J5XLob4RPaXpySPC7vN/LMLIh2Nz3WMUfPhXzYxZE74/ySbPJnOs5r8FJ34/uyuw9bli66VFgjevFtBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:02:33.833047Z","bundle_sha256":"84cbdf91ce55140345891a4eeeedf59eaaf169259607f084565117026bbfde99"}}