{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:Y7IRO2FDHVZ7VZJX6KGTWGPF7H","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":"59535dd214974ef62afc9b742fc3d396885313a90be195e95b65686bbf6d027e","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2025-09-03T15:05:11Z","title_canon_sha256":"9e1fe08191ab50b90bc952a921f6e83f587cac6a7b3a917c72b801df4ae36b18"},"schema_version":"1.0","source":{"id":"2509.03387","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.03387","created_at":"2026-07-05T12:04:21Z"},{"alias_kind":"arxiv_version","alias_value":"2509.03387v1","created_at":"2026-07-05T12:04:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.03387","created_at":"2026-07-05T12:04:21Z"},{"alias_kind":"pith_short_12","alias_value":"Y7IRO2FDHVZ7","created_at":"2026-07-05T12:04:21Z"},{"alias_kind":"pith_short_16","alias_value":"Y7IRO2FDHVZ7VZJX","created_at":"2026-07-05T12:04:21Z"},{"alias_kind":"pith_short_8","alias_value":"Y7IRO2FD","created_at":"2026-07-05T12:04:21Z"}],"graph_snapshots":[{"event_id":"sha256:21a8036f1b0bddcaf5656dc49b7cf66ae45883241bfe4d1dad5c7347bb5b1dd1","target":"graph","created_at":"2026-07-05T12:04:21Z","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/2509.03387/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Strongly interacting fermions represent the key constituent of several intriguing phases of matter. However, due to the inherent complexity of these systems, important regimes are still inaccessible. Here, we derive a realistic and flexible setup based on ultracold magnetic lanthanide atoms trapped in a one-dimensional optical lattice. Leveraging their large magnetic moments, we design a fermionic $t-J$ model with independently tunable hopping, spin-spin couplings, and onsite interaction. Through combined analytical and numerical analysis, we uncover a variety of many-body quantum phases$-$inc","authors_text":"Francesca Ferlaino, Leonardo Bellinato Giacomelli, Louis Lafforgue, Luca Barbiero, Manfred J. Mark, Thomas Bland","cross_cats":["cond-mat.str-el","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2025-09-03T15:05:11Z","title":"Topology meets superconductivity in a one-dimensional $t-J$ model of magnetic atoms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.03387","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":"sha256:6cdd1a8dbde3ed1fbd1caef34a11fffbb4dcbdfb58fde32d2c9c62adc0d55bc5","target":"record","created_at":"2026-07-05T12:04:21Z","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":"59535dd214974ef62afc9b742fc3d396885313a90be195e95b65686bbf6d027e","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2025-09-03T15:05:11Z","title_canon_sha256":"9e1fe08191ab50b90bc952a921f6e83f587cac6a7b3a917c72b801df4ae36b18"},"schema_version":"1.0","source":{"id":"2509.03387","kind":"arxiv","version":1}},"canonical_sha256":"c7d11768a33d73fae537f28d3b19e5f9c152e32baddffbd8ea873a26ff32e6b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7d11768a33d73fae537f28d3b19e5f9c152e32baddffbd8ea873a26ff32e6b6","first_computed_at":"2026-07-05T12:04:21.819203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:04:21.819203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+oW6phOOTkWFw832y+cfNQzHlux70/bBmLnDkKHyuBDevI40L3e3OI9QUhIewNuxZffSy/LGpmoTS0CizzP8Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:04:21.819905Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.03387","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cdd1a8dbde3ed1fbd1caef34a11fffbb4dcbdfb58fde32d2c9c62adc0d55bc5","sha256:21a8036f1b0bddcaf5656dc49b7cf66ae45883241bfe4d1dad5c7347bb5b1dd1"],"state_sha256":"392077c925b5fc20690c44bd250c65cce486e85f9edc6b79c474c5dc769d31bd"}