{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TMZGUINWFUOBG7X54EWT6STZ7O","short_pith_number":"pith:TMZGUINW","canonical_record":{"source":{"id":"1404.5482","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-04-22T13:14:08Z","cross_cats_sorted":[],"title_canon_sha256":"92cc45f7011a25051f5ee81927afaefa9dbe77a74c2a46f1c08ab9936a6ac446","abstract_canon_sha256":"c81f8ffa5163803fca640eef3620f6024e10c6e086f13d0fee81ed90e604b53e"},"schema_version":"1.0"},"canonical_sha256":"9b326a21b62d1c137efde12d3f4a79fba6b5cdf9ee4a3470fa497e5385b4fe1d","source":{"kind":"arxiv","id":"1404.5482","version":7},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5482","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5482v7","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5482","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"TMZGUINWFUOB","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TMZGUINWFUOBG7X5","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TMZGUINW","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TMZGUINWFUOBG7X54EWT6STZ7O","target":"record","payload":{"canonical_record":{"source":{"id":"1404.5482","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-04-22T13:14:08Z","cross_cats_sorted":[],"title_canon_sha256":"92cc45f7011a25051f5ee81927afaefa9dbe77a74c2a46f1c08ab9936a6ac446","abstract_canon_sha256":"c81f8ffa5163803fca640eef3620f6024e10c6e086f13d0fee81ed90e604b53e"},"schema_version":"1.0"},"canonical_sha256":"9b326a21b62d1c137efde12d3f4a79fba6b5cdf9ee4a3470fa497e5385b4fe1d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:46.217889Z","signature_b64":"ZJ1BufHM/SViayIVPQtXmjPnMTipn+K3vALwbeY1jmrvUp2p7MMH9HO+bjXxg88yzPdWG5o6wIiHqjHK3FcpAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b326a21b62d1c137efde12d3f4a79fba6b5cdf9ee4a3470fa497e5385b4fe1d","last_reissued_at":"2026-05-18T02:42:46.217450Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:46.217450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.5482","source_version":7,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CrvaRk8POTTJ+X5LqeSDVkw+kASCeZaTK21QTBHO9eVekFeXHOY6xzYZkBko0Du5ZRQU5ES0ddUp9xEfKbNICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T03:34:20.180065Z"},"content_sha256":"4b2d4f17738c3ca969e13acda0e868f757e77c0963aa7c39dfff317d0023c78a","schema_version":"1.0","event_id":"sha256:4b2d4f17738c3ca969e13acda0e868f757e77c0963aa7c39dfff317d0023c78a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TMZGUINWFUOBG7X54EWT6STZ7O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Superconducting Transitions in Flat Band Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"B. Gr\\'emaud, F. H\\'ebert, G.G. Batrouni, R.T. Scalettar, V.I. Iglovikov","submitted_at":"2014-04-22T13:14:08Z","abstract_excerpt":"The physics of strongly correlated quantum particles within a flat band was originally explored as a route to itinerant ferromagnetism and, indeed, a celebrated theorem by Lieb rigorously establishes that the ground state of the repulsive Hubbard model on a bipartite lattice with unequal number of sites in each sublattice must have nonzero spin S at half-filling. Recently, there has been interest in Lieb geometries due to the possibility of novel topological insulator, nematic, and Bose-Einstein condensed (BEC) phases. In this paper, we extend the understanding of the attractive Hubbard model "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5482","kind":"arxiv","version":7},"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":"2026-05-18T02:42:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5pj5+gIOn6hXNh0q29h8w+Z2G+iXTx+RhOVkO1h/qOYwjT18gu4K10Xxujdpk1WEd1pPRiYCR84IMI3ek0DnDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T03:34:20.180438Z"},"content_sha256":"5d76f6dd8576d7a5c23d197811e84f84e289aa4978cd52ddb7e20d13d3ed523d","schema_version":"1.0","event_id":"sha256:5d76f6dd8576d7a5c23d197811e84f84e289aa4978cd52ddb7e20d13d3ed523d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TMZGUINWFUOBG7X54EWT6STZ7O/bundle.json","state_url":"https://pith.science/pith/TMZGUINWFUOBG7X54EWT6STZ7O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TMZGUINWFUOBG7X54EWT6STZ7O/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":"2026-06-23T03:34:20Z","links":{"resolver":"https://pith.science/pith/TMZGUINWFUOBG7X54EWT6STZ7O","bundle":"https://pith.science/pith/TMZGUINWFUOBG7X54EWT6STZ7O/bundle.json","state":"https://pith.science/pith/TMZGUINWFUOBG7X54EWT6STZ7O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TMZGUINWFUOBG7X54EWT6STZ7O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TMZGUINWFUOBG7X54EWT6STZ7O","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":"c81f8ffa5163803fca640eef3620f6024e10c6e086f13d0fee81ed90e604b53e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-04-22T13:14:08Z","title_canon_sha256":"92cc45f7011a25051f5ee81927afaefa9dbe77a74c2a46f1c08ab9936a6ac446"},"schema_version":"1.0","source":{"id":"1404.5482","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5482","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5482v7","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5482","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"TMZGUINWFUOB","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TMZGUINWFUOBG7X5","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TMZGUINW","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:5d76f6dd8576d7a5c23d197811e84f84e289aa4978cd52ddb7e20d13d3ed523d","target":"graph","created_at":"2026-05-18T02:42:46Z","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":"The physics of strongly correlated quantum particles within a flat band was originally explored as a route to itinerant ferromagnetism and, indeed, a celebrated theorem by Lieb rigorously establishes that the ground state of the repulsive Hubbard model on a bipartite lattice with unequal number of sites in each sublattice must have nonzero spin S at half-filling. Recently, there has been interest in Lieb geometries due to the possibility of novel topological insulator, nematic, and Bose-Einstein condensed (BEC) phases. In this paper, we extend the understanding of the attractive Hubbard model ","authors_text":"B. Gr\\'emaud, F. H\\'ebert, G.G. Batrouni, R.T. Scalettar, V.I. Iglovikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-04-22T13:14:08Z","title":"Superconducting Transitions in Flat Band Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5482","kind":"arxiv","version":7},"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":"sha256:4b2d4f17738c3ca969e13acda0e868f757e77c0963aa7c39dfff317d0023c78a","target":"record","created_at":"2026-05-18T02:42:46Z","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":"c81f8ffa5163803fca640eef3620f6024e10c6e086f13d0fee81ed90e604b53e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-04-22T13:14:08Z","title_canon_sha256":"92cc45f7011a25051f5ee81927afaefa9dbe77a74c2a46f1c08ab9936a6ac446"},"schema_version":"1.0","source":{"id":"1404.5482","kind":"arxiv","version":7}},"canonical_sha256":"9b326a21b62d1c137efde12d3f4a79fba6b5cdf9ee4a3470fa497e5385b4fe1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b326a21b62d1c137efde12d3f4a79fba6b5cdf9ee4a3470fa497e5385b4fe1d","first_computed_at":"2026-05-18T02:42:46.217450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:46.217450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZJ1BufHM/SViayIVPQtXmjPnMTipn+K3vALwbeY1jmrvUp2p7MMH9HO+bjXxg88yzPdWG5o6wIiHqjHK3FcpAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:46.217889Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.5482","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b2d4f17738c3ca969e13acda0e868f757e77c0963aa7c39dfff317d0023c78a","sha256:5d76f6dd8576d7a5c23d197811e84f84e289aa4978cd52ddb7e20d13d3ed523d"],"state_sha256":"288a7b55c75a36b76726b41e746156b3c06808571d5a3f6ad9028f4528f9fe36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z3ofdeCEsNHBGXWvTejw/KbE2PGSTvTajYz9UZp9DGqqN2OAJ0BhVl5HAuRXHWp3kyuMgEveI18cfW22L3qpAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T03:34:20.182636Z","bundle_sha256":"5ba2385a8c49e63941af8b38297fc41570d0e3b15a0ef9eb4fbf7149fccb6841"}}