{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:E5QXPBAO2A3I3JQECW5HV7AQZX","short_pith_number":"pith:E5QXPBAO","schema_version":"1.0","canonical_sha256":"276177840ed0368da60415ba7afc10cdd8da17aa59125caf463c49083340d77a","source":{"kind":"arxiv","id":"2509.03921","version":1},"attestation_state":"computed","paper":{"title":"Atomic collapse of high-order singular potentials in graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Qing-Feng Sun, Yu-Chen Zhuang, Yue Mao","submitted_at":"2025-09-04T06:15:39Z","abstract_excerpt":"Artificial atoms in graphene hosting a series of quasi-bound states can serve as an excellent platform to explore atomic collapse and become a basis to design novel graphene nanodevices. We theoretically study behaviors of massless Dirac fermions in singular potentials with a general form of 1/r^{\\gamma}. Different from the Coulomb potential that demands a supercritical charge Z > Zc, a high-order singular potential ({\\gamma} > 1) is found to in principle induce atomic collapse with an infinitesimal charge Z. The energies of atomic collapse states (ACSs) within these potentials are arranged ro"},"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":"2509.03921","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-09-04T06:15:39Z","cross_cats_sorted":[],"title_canon_sha256":"916aceb3ed823a00286a32aec62c2fb64bd21a5fa0cfbe76394ff60e8299ce22","abstract_canon_sha256":"32958173355338ef5b72b39bd3d17bfb45f26035e45284cc5b05d3218d253cea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:04:49.844498Z","signature_b64":"v5FPBjvRlS9iJFDxvwfe3BoeSOd8W0LvD4xI6VJ7WCxjBZM06AFvtYLxB/SbO3E+uunsibwWXcj25VGi/c4TCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"276177840ed0368da60415ba7afc10cdd8da17aa59125caf463c49083340d77a","last_reissued_at":"2026-07-05T12:04:49.843760Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:04:49.843760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Atomic collapse of high-order singular potentials in graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Qing-Feng Sun, Yu-Chen Zhuang, Yue Mao","submitted_at":"2025-09-04T06:15:39Z","abstract_excerpt":"Artificial atoms in graphene hosting a series of quasi-bound states can serve as an excellent platform to explore atomic collapse and become a basis to design novel graphene nanodevices. We theoretically study behaviors of massless Dirac fermions in singular potentials with a general form of 1/r^{\\gamma}. Different from the Coulomb potential that demands a supercritical charge Z > Zc, a high-order singular potential ({\\gamma} > 1) is found to in principle induce atomic collapse with an infinitesimal charge Z. The energies of atomic collapse states (ACSs) within these potentials are arranged ro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.03921","kind":"arxiv","version":1},"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/2509.03921/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":"2509.03921","created_at":"2026-07-05T12:04:49.843832+00:00"},{"alias_kind":"arxiv_version","alias_value":"2509.03921v1","created_at":"2026-07-05T12:04:49.843832+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.03921","created_at":"2026-07-05T12:04:49.843832+00:00"},{"alias_kind":"pith_short_12","alias_value":"E5QXPBAO2A3I","created_at":"2026-07-05T12:04:49.843832+00:00"},{"alias_kind":"pith_short_16","alias_value":"E5QXPBAO2A3I3JQE","created_at":"2026-07-05T12:04:49.843832+00:00"},{"alias_kind":"pith_short_8","alias_value":"E5QXPBAO","created_at":"2026-07-05T12:04:49.843832+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/E5QXPBAO2A3I3JQECW5HV7AQZX","json":"https://pith.science/pith/E5QXPBAO2A3I3JQECW5HV7AQZX.json","graph_json":"https://pith.science/api/pith-number/E5QXPBAO2A3I3JQECW5HV7AQZX/graph.json","events_json":"https://pith.science/api/pith-number/E5QXPBAO2A3I3JQECW5HV7AQZX/events.json","paper":"https://pith.science/paper/E5QXPBAO"},"agent_actions":{"view_html":"https://pith.science/pith/E5QXPBAO2A3I3JQECW5HV7AQZX","download_json":"https://pith.science/pith/E5QXPBAO2A3I3JQECW5HV7AQZX.json","view_paper":"https://pith.science/paper/E5QXPBAO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2509.03921&json=true","fetch_graph":"https://pith.science/api/pith-number/E5QXPBAO2A3I3JQECW5HV7AQZX/graph.json","fetch_events":"https://pith.science/api/pith-number/E5QXPBAO2A3I3JQECW5HV7AQZX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E5QXPBAO2A3I3JQECW5HV7AQZX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E5QXPBAO2A3I3JQECW5HV7AQZX/action/storage_attestation","attest_author":"https://pith.science/pith/E5QXPBAO2A3I3JQECW5HV7AQZX/action/author_attestation","sign_citation":"https://pith.science/pith/E5QXPBAO2A3I3JQECW5HV7AQZX/action/citation_signature","submit_replication":"https://pith.science/pith/E5QXPBAO2A3I3JQECW5HV7AQZX/action/replication_record"}},"created_at":"2026-07-05T12:04:49.843832+00:00","updated_at":"2026-07-05T12:04:49.843832+00:00"}