{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:6I73UMSVHC3UZ3EKZ2XTS7YICJ","short_pith_number":"pith:6I73UMSV","schema_version":"1.0","canonical_sha256":"f23fba325538b74cec8aceaf397f081265946a15d7456cb32439a0057d5ee50c","source":{"kind":"arxiv","id":"2505.21455","version":4},"attestation_state":"computed","paper":{"title":"Pair binding and Hund's rule breaking in high-symmetry fullerenes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"C. Karrasch, R. Rausch","submitted_at":"2025-05-27T17:27:21Z","abstract_excerpt":"Highly-symmetric molecules often exhibit degenerate tight-binding states at the Fermi edge. This typically results in a magnetic ground state if small interactions are introduced in accordance with Hund's rule. In some cases, Hund's rule may be broken, which signals pair binding and goes hand-in-hand with an attractive pair-binding energy. We investigate pair binding and Hund's rule breaking for the Hubbard model on high-symmetry fullerenes C$_{20}$, C$_{28}$, C$_{40}$, and C$_{60}$ by using large-scale density-matrix renormalization group calculations. We exploit the SU(2) spin symmetry, the "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2505.21455","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-05-27T17:27:21Z","cross_cats_sorted":[],"title_canon_sha256":"5aac772d7a1c4c2043ff71f124698428df09a1dfa723e87e4c839fdba3e6fcf8","abstract_canon_sha256":"81a55c8ea1bea390c9c0e6927b3809e209a7c55a0cc3b714c36aa42d667d1cd6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:05:29.232525Z","signature_b64":"0mGKxuTPSOlnv+kNgtcEzZudsdt1wthl+LhAc6fPXlYsM5U/t1VUAmHesLhGYkV0nYjAyUbpvZ7/0Vz1KGvJDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f23fba325538b74cec8aceaf397f081265946a15d7456cb32439a0057d5ee50c","last_reissued_at":"2026-05-20T00:05:29.231692Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:05:29.231692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pair binding and Hund's rule breaking in high-symmetry fullerenes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"C. Karrasch, R. Rausch","submitted_at":"2025-05-27T17:27:21Z","abstract_excerpt":"Highly-symmetric molecules often exhibit degenerate tight-binding states at the Fermi edge. This typically results in a magnetic ground state if small interactions are introduced in accordance with Hund's rule. In some cases, Hund's rule may be broken, which signals pair binding and goes hand-in-hand with an attractive pair-binding energy. We investigate pair binding and Hund's rule breaking for the Hubbard model on high-symmetry fullerenes C$_{20}$, C$_{28}$, C$_{40}$, and C$_{60}$ by using large-scale density-matrix renormalization group calculations. We exploit the SU(2) spin symmetry, the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.21455","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.21455/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":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2505.21455","created_at":"2026-05-20T00:05:29.231833+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.21455v4","created_at":"2026-05-20T00:05:29.231833+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.21455","created_at":"2026-05-20T00:05:29.231833+00:00"},{"alias_kind":"pith_short_12","alias_value":"6I73UMSVHC3U","created_at":"2026-05-20T00:05:29.231833+00:00"},{"alias_kind":"pith_short_16","alias_value":"6I73UMSVHC3UZ3EK","created_at":"2026-05-20T00:05:29.231833+00:00"},{"alias_kind":"pith_short_8","alias_value":"6I73UMSV","created_at":"2026-05-20T00:05:29.231833+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6I73UMSVHC3UZ3EKZ2XTS7YICJ","json":"https://pith.science/pith/6I73UMSVHC3UZ3EKZ2XTS7YICJ.json","graph_json":"https://pith.science/api/pith-number/6I73UMSVHC3UZ3EKZ2XTS7YICJ/graph.json","events_json":"https://pith.science/api/pith-number/6I73UMSVHC3UZ3EKZ2XTS7YICJ/events.json","paper":"https://pith.science/paper/6I73UMSV"},"agent_actions":{"view_html":"https://pith.science/pith/6I73UMSVHC3UZ3EKZ2XTS7YICJ","download_json":"https://pith.science/pith/6I73UMSVHC3UZ3EKZ2XTS7YICJ.json","view_paper":"https://pith.science/paper/6I73UMSV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.21455&json=true","fetch_graph":"https://pith.science/api/pith-number/6I73UMSVHC3UZ3EKZ2XTS7YICJ/graph.json","fetch_events":"https://pith.science/api/pith-number/6I73UMSVHC3UZ3EKZ2XTS7YICJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6I73UMSVHC3UZ3EKZ2XTS7YICJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6I73UMSVHC3UZ3EKZ2XTS7YICJ/action/storage_attestation","attest_author":"https://pith.science/pith/6I73UMSVHC3UZ3EKZ2XTS7YICJ/action/author_attestation","sign_citation":"https://pith.science/pith/6I73UMSVHC3UZ3EKZ2XTS7YICJ/action/citation_signature","submit_replication":"https://pith.science/pith/6I73UMSVHC3UZ3EKZ2XTS7YICJ/action/replication_record"}},"created_at":"2026-05-20T00:05:29.231833+00:00","updated_at":"2026-05-20T00:05:29.231833+00:00"}