{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:5FHJAHJZRVIDHHIVGAJGC6VW4I","short_pith_number":"pith:5FHJAHJZ","canonical_record":{"source":{"id":"2510.14724","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-10-16T14:24:27Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"432e1098f6a765bfce2e7732a800e69fd4642b4b0684905737d8d7ee87a250d5","abstract_canon_sha256":"3e97c311393efc196887c75db4585914d6c11f26dbe16eaa36134f2df46d67f7"},"schema_version":"1.0"},"canonical_sha256":"e94e901d398d50339d153012617ab6e225152a00bf2a21be004ced1c4b317b20","source":{"kind":"arxiv","id":"2510.14724","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.14724","created_at":"2026-06-08T01:03:49Z"},{"alias_kind":"arxiv_version","alias_value":"2510.14724v4","created_at":"2026-06-08T01:03:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.14724","created_at":"2026-06-08T01:03:49Z"},{"alias_kind":"pith_short_12","alias_value":"5FHJAHJZRVID","created_at":"2026-06-08T01:03:49Z"},{"alias_kind":"pith_short_16","alias_value":"5FHJAHJZRVIDHHIV","created_at":"2026-06-08T01:03:49Z"},{"alias_kind":"pith_short_8","alias_value":"5FHJAHJZ","created_at":"2026-06-08T01:03:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:5FHJAHJZRVIDHHIVGAJGC6VW4I","target":"record","payload":{"canonical_record":{"source":{"id":"2510.14724","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-10-16T14:24:27Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"432e1098f6a765bfce2e7732a800e69fd4642b4b0684905737d8d7ee87a250d5","abstract_canon_sha256":"3e97c311393efc196887c75db4585914d6c11f26dbe16eaa36134f2df46d67f7"},"schema_version":"1.0"},"canonical_sha256":"e94e901d398d50339d153012617ab6e225152a00bf2a21be004ced1c4b317b20","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-08T01:03:49.718667Z","signature_b64":"OcgknC5JrVdV4iSUM6yePwzFJ4u3ASUflTPb95jJ3HuV+6Ghnzk4xJB6JlQwMDs877sBj7qn5Xl/o+ULhQRfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e94e901d398d50339d153012617ab6e225152a00bf2a21be004ced1c4b317b20","last_reissued_at":"2026-06-08T01:03:49.717694Z","signature_status":"signed_v1","first_computed_at":"2026-06-08T01:03:49.717694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2510.14724","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-08T01:03:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7s0IaseGMHV/mrggxraWeqKK4IOv9j5C9R600I+3QorZLp6IkaT+aLBzjjTLtD4j8/OXmELtNMVE6OVHlDdFAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T22:56:55.162470Z"},"content_sha256":"a370b7f769b059524a847480e0e4d60baa30404174827bb4d6f060229c883161","schema_version":"1.0","event_id":"sha256:a370b7f769b059524a847480e0e4d60baa30404174827bb4d6f060229c883161"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:5FHJAHJZRVIDHHIVGAJGC6VW4I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Crossed surface flat bands in three-dimensional superconducting altermagnets","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Three-dimensional superconducting altermagnets host crossed zero-energy surface flat bands protected by bulk nodal lines and crystal symmetry.","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.supr-con","authors_text":"Bo Lu, Jorge Cayao, Keiji Yada, Yukio Tanaka, Yuri Fukaya","submitted_at":"2025-10-16T14:24:27Z","abstract_excerpt":"Superconducting altermagnets have proven to be a promising ground for emergent phenomena, but their study has involved two-dimensional systems. In this work, we investigate three-dimensional $d$- and $g$-wave altermagnets with spin-singlet chiral $d$-wave superconductivity and show the formation of crossed surface flat bands due to the interplay between superconducting and altermagnetic symmetries. We find that these crossed flat bands are topologically protected, appear at zero energy in the surface along $z$ due to the superconducting nodal lines in the $xy$-plane, and their number of corner"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We find that these crossed flat bands are topologically protected, appear at zero energy in the surface along z due to the superconducting nodal lines in the xy-plane, and their number of corners is determined by the crystal symmetry of altermagnets.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The analysis assumes that the three-dimensional d- and g-wave altermagnetic order combined with spin-singlet chiral d-wave superconductivity produces well-defined nodal lines in the xy-plane whose topological consequences survive at the surface without additional perturbations.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Crossed surface flat bands form at zero energy in 3D superconducting altermagnets due to superconducting nodal lines and altermagnetic symmetry, with their corners set by crystal symmetry.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Three-dimensional superconducting altermagnets host crossed zero-energy surface flat bands protected by bulk nodal lines and crystal symmetry.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"838b9c50262baa9d59a282d37274f4a400fbaf6c1bda1fa0f3e7560be7f6eb9e"},"source":{"id":"2510.14724","kind":"arxiv","version":4},"verdict":{"id":"dfb8728e-a29f-45aa-b8a9-a89536eef844","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-18T06:29:08.345208Z","strongest_claim":"We find that these crossed flat bands are topologically protected, appear at zero energy in the surface along z due to the superconducting nodal lines in the xy-plane, and their number of corners is determined by the crystal symmetry of altermagnets.","one_line_summary":"Crossed surface flat bands form at zero energy in 3D superconducting altermagnets due to superconducting nodal lines and altermagnetic symmetry, with their corners set by crystal symmetry.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The analysis assumes that the three-dimensional d- and g-wave altermagnetic order combined with spin-singlet chiral d-wave superconductivity produces well-defined nodal lines in the xy-plane whose topological consequences survive at the surface without additional perturbations.","pith_extraction_headline":"Three-dimensional superconducting altermagnets host crossed zero-energy surface flat bands protected by bulk nodal lines and crystal symmetry."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2510.14724/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":2,"snapshot_sha256":"22bb9fe2185348c30ebde9e35e7a95c6544814ad13ac647064aa2d87a94fa1d2"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"dfb8728e-a29f-45aa-b8a9-a89536eef844"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-08T01:03:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/uolV0smHdgrpj+2yq4z04uG9DCrXDnjw7T8FLTn1T3ovqaHn8IDeCB7g4vMcjGGAUjTj4WNdsiDlSR33cKCDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T22:56:55.163104Z"},"content_sha256":"19e369cee6ca5c40c326c233a22b046a31de8a7bcbb6ebfbe479e772e26ccade","schema_version":"1.0","event_id":"sha256:19e369cee6ca5c40c326c233a22b046a31de8a7bcbb6ebfbe479e772e26ccade"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5FHJAHJZRVIDHHIVGAJGC6VW4I/bundle.json","state_url":"https://pith.science/pith/5FHJAHJZRVIDHHIVGAJGC6VW4I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5FHJAHJZRVIDHHIVGAJGC6VW4I/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":"2026-08-06T22:56:55Z","links":{"resolver":"https://pith.science/pith/5FHJAHJZRVIDHHIVGAJGC6VW4I","bundle":"https://pith.science/pith/5FHJAHJZRVIDHHIVGAJGC6VW4I/bundle.json","state":"https://pith.science/pith/5FHJAHJZRVIDHHIVGAJGC6VW4I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5FHJAHJZRVIDHHIVGAJGC6VW4I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5FHJAHJZRVIDHHIVGAJGC6VW4I","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":"3e97c311393efc196887c75db4585914d6c11f26dbe16eaa36134f2df46d67f7","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-10-16T14:24:27Z","title_canon_sha256":"432e1098f6a765bfce2e7732a800e69fd4642b4b0684905737d8d7ee87a250d5"},"schema_version":"1.0","source":{"id":"2510.14724","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.14724","created_at":"2026-06-08T01:03:49Z"},{"alias_kind":"arxiv_version","alias_value":"2510.14724v4","created_at":"2026-06-08T01:03:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.14724","created_at":"2026-06-08T01:03:49Z"},{"alias_kind":"pith_short_12","alias_value":"5FHJAHJZRVID","created_at":"2026-06-08T01:03:49Z"},{"alias_kind":"pith_short_16","alias_value":"5FHJAHJZRVIDHHIV","created_at":"2026-06-08T01:03:49Z"},{"alias_kind":"pith_short_8","alias_value":"5FHJAHJZ","created_at":"2026-06-08T01:03:49Z"}],"graph_snapshots":[{"event_id":"sha256:19e369cee6ca5c40c326c233a22b046a31de8a7bcbb6ebfbe479e772e26ccade","target":"graph","created_at":"2026-06-08T01:03:49Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We find that these crossed flat bands are topologically protected, appear at zero energy in the surface along z due to the superconducting nodal lines in the xy-plane, and their number of corners is determined by the crystal symmetry of altermagnets."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The analysis assumes that the three-dimensional d- and g-wave altermagnetic order combined with spin-singlet chiral d-wave superconductivity produces well-defined nodal lines in the xy-plane whose topological consequences survive at the surface without additional perturbations."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Crossed surface flat bands form at zero energy in 3D superconducting altermagnets due to superconducting nodal lines and altermagnetic symmetry, with their corners set by crystal symmetry."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Three-dimensional superconducting altermagnets host crossed zero-energy surface flat bands protected by bulk nodal lines and crystal symmetry."}],"snapshot_sha256":"838b9c50262baa9d59a282d37274f4a400fbaf6c1bda1fa0f3e7560be7f6eb9e"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"22bb9fe2185348c30ebde9e35e7a95c6544814ad13ac647064aa2d87a94fa1d2"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2510.14724/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Superconducting altermagnets have proven to be a promising ground for emergent phenomena, but their study has involved two-dimensional systems. In this work, we investigate three-dimensional $d$- and $g$-wave altermagnets with spin-singlet chiral $d$-wave superconductivity and show the formation of crossed surface flat bands due to the interplay between superconducting and altermagnetic symmetries. We find that these crossed flat bands are topologically protected, appear at zero energy in the surface along $z$ due to the superconducting nodal lines in the $xy$-plane, and their number of corner","authors_text":"Bo Lu, Jorge Cayao, Keiji Yada, Yukio Tanaka, Yuri Fukaya","cross_cats":["cond-mat.mes-hall"],"headline":"Three-dimensional superconducting altermagnets host crossed zero-energy surface flat bands protected by bulk nodal lines and crystal symmetry.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-10-16T14:24:27Z","title":"Crossed surface flat bands in three-dimensional superconducting altermagnets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.14724","kind":"arxiv","version":4},"verdict":{"created_at":"2026-05-18T06:29:08.345208Z","id":"dfb8728e-a29f-45aa-b8a9-a89536eef844","model_set":{"reader":"grok-4.3"},"one_line_summary":"Crossed surface flat bands form at zero energy in 3D superconducting altermagnets due to superconducting nodal lines and altermagnetic symmetry, with their corners set by crystal symmetry.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Three-dimensional superconducting altermagnets host crossed zero-energy surface flat bands protected by bulk nodal lines and crystal symmetry.","strongest_claim":"We find that these crossed flat bands are topologically protected, appear at zero energy in the surface along z due to the superconducting nodal lines in the xy-plane, and their number of corners is determined by the crystal symmetry of altermagnets.","weakest_assumption":"The analysis assumes that the three-dimensional d- and g-wave altermagnetic order combined with spin-singlet chiral d-wave superconductivity produces well-defined nodal lines in the xy-plane whose topological consequences survive at the surface without additional perturbations."}},"verdict_id":"dfb8728e-a29f-45aa-b8a9-a89536eef844"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a370b7f769b059524a847480e0e4d60baa30404174827bb4d6f060229c883161","target":"record","created_at":"2026-06-08T01:03:49Z","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":"3e97c311393efc196887c75db4585914d6c11f26dbe16eaa36134f2df46d67f7","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-10-16T14:24:27Z","title_canon_sha256":"432e1098f6a765bfce2e7732a800e69fd4642b4b0684905737d8d7ee87a250d5"},"schema_version":"1.0","source":{"id":"2510.14724","kind":"arxiv","version":4}},"canonical_sha256":"e94e901d398d50339d153012617ab6e225152a00bf2a21be004ced1c4b317b20","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e94e901d398d50339d153012617ab6e225152a00bf2a21be004ced1c4b317b20","first_computed_at":"2026-06-08T01:03:49.717694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-08T01:03:49.717694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OcgknC5JrVdV4iSUM6yePwzFJ4u3ASUflTPb95jJ3HuV+6Ghnzk4xJB6JlQwMDs877sBj7qn5Xl/o+ULhQRfBA==","signature_status":"signed_v1","signed_at":"2026-06-08T01:03:49.718667Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.14724","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a370b7f769b059524a847480e0e4d60baa30404174827bb4d6f060229c883161","sha256:19e369cee6ca5c40c326c233a22b046a31de8a7bcbb6ebfbe479e772e26ccade"],"state_sha256":"9a5e9d53e100f5f5ad47ccd9df6595e65ec370639ad3aabb5324eb0afc830272"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4DBNTU10uAl0gAUskuypMhLEL5Q2nhLj3Y0yS4ZoaMJ2F6smMMwJspClCXIADEYwNvZETz9viDm9kv6nqzJCAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T22:56:55.166564Z","bundle_sha256":"3b9858be53fab54f849567576b4efe99001cc352f7816bf4914b089d561481c9"}}