{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:RTQFHJ43K5ZBNF7G7ZJJJQP4N3","short_pith_number":"pith:RTQFHJ43","schema_version":"1.0","canonical_sha256":"8ce053a79b57721697e6fe5294c1fc6ec670e21d97e50dbc4004468f9026c82c","source":{"kind":"arxiv","id":"2510.21947","version":2},"attestation_state":"computed","paper":{"title":"Asymptotics for eigenvalues of one-dimensional Dirac operators in the weak coupling limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.MP"],"primary_cat":"math-ph","authors_text":"Danko Aldunate, Hanne Van Den Bosch, Juan Manuel Gonz\\'alez-Brantes","submitted_at":"2025-10-24T18:23:15Z","abstract_excerpt":"In this paper, we derive new results on the asymptotic behavior of eigenvalues of perturbed one-dimensional massive Dirac operators in the weak coupling limit. Two classes of potentials are considered. For bounded Hermitian potentials $V$ satisfying $|V(x)| \\lesssim |x|^{-1}$ for large $|x|$, we recover the leading term, which may include a logarithmic correction if $V(x) \\sim |x|^{-1}$ at infinity. For possibly non-Hermitian $L^1$ potentials satisfying a suitable moment condition, we obtain the second term in the asymptotic expansion. The first result is based on a min-max principle adapted t"},"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":"2510.21947","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-10-24T18:23:15Z","cross_cats_sorted":["math.FA","math.MP"],"title_canon_sha256":"659cfc44c2312fd14ec7c04bc6abfe9998ac0ec949ee3adb51c3dc2ad9075979","abstract_canon_sha256":"febccdcea3b30623f88bc93a76669680ecc198bc1678e3822ca7b23bd3145239"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T02:05:43.034896Z","signature_b64":"vdw02HS0p2jXvNrfNPCTM4caHA42wWk4xgQcIZ9NFNxu3eFWCcFxjedqFQgWxTBhOYNgL46IADY7CMgFmR11AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ce053a79b57721697e6fe5294c1fc6ec670e21d97e50dbc4004468f9026c82c","last_reissued_at":"2026-06-03T02:05:43.034311Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T02:05:43.034311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotics for eigenvalues of one-dimensional Dirac operators in the weak coupling limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.MP"],"primary_cat":"math-ph","authors_text":"Danko Aldunate, Hanne Van Den Bosch, Juan Manuel Gonz\\'alez-Brantes","submitted_at":"2025-10-24T18:23:15Z","abstract_excerpt":"In this paper, we derive new results on the asymptotic behavior of eigenvalues of perturbed one-dimensional massive Dirac operators in the weak coupling limit. Two classes of potentials are considered. For bounded Hermitian potentials $V$ satisfying $|V(x)| \\lesssim |x|^{-1}$ for large $|x|$, we recover the leading term, which may include a logarithmic correction if $V(x) \\sim |x|^{-1}$ at infinity. For possibly non-Hermitian $L^1$ potentials satisfying a suitable moment condition, we obtain the second term in the asymptotic expansion. The first result is based on a min-max principle adapted t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.21947","kind":"arxiv","version":2},"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/2510.21947/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":"2510.21947","created_at":"2026-06-03T02:05:43.034378+00:00"},{"alias_kind":"arxiv_version","alias_value":"2510.21947v2","created_at":"2026-06-03T02:05:43.034378+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.21947","created_at":"2026-06-03T02:05:43.034378+00:00"},{"alias_kind":"pith_short_12","alias_value":"RTQFHJ43K5ZB","created_at":"2026-06-03T02:05:43.034378+00:00"},{"alias_kind":"pith_short_16","alias_value":"RTQFHJ43K5ZBNF7G","created_at":"2026-06-03T02:05:43.034378+00:00"},{"alias_kind":"pith_short_8","alias_value":"RTQFHJ43","created_at":"2026-06-03T02:05:43.034378+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/RTQFHJ43K5ZBNF7G7ZJJJQP4N3","json":"https://pith.science/pith/RTQFHJ43K5ZBNF7G7ZJJJQP4N3.json","graph_json":"https://pith.science/api/pith-number/RTQFHJ43K5ZBNF7G7ZJJJQP4N3/graph.json","events_json":"https://pith.science/api/pith-number/RTQFHJ43K5ZBNF7G7ZJJJQP4N3/events.json","paper":"https://pith.science/paper/RTQFHJ43"},"agent_actions":{"view_html":"https://pith.science/pith/RTQFHJ43K5ZBNF7G7ZJJJQP4N3","download_json":"https://pith.science/pith/RTQFHJ43K5ZBNF7G7ZJJJQP4N3.json","view_paper":"https://pith.science/paper/RTQFHJ43","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2510.21947&json=true","fetch_graph":"https://pith.science/api/pith-number/RTQFHJ43K5ZBNF7G7ZJJJQP4N3/graph.json","fetch_events":"https://pith.science/api/pith-number/RTQFHJ43K5ZBNF7G7ZJJJQP4N3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RTQFHJ43K5ZBNF7G7ZJJJQP4N3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RTQFHJ43K5ZBNF7G7ZJJJQP4N3/action/storage_attestation","attest_author":"https://pith.science/pith/RTQFHJ43K5ZBNF7G7ZJJJQP4N3/action/author_attestation","sign_citation":"https://pith.science/pith/RTQFHJ43K5ZBNF7G7ZJJJQP4N3/action/citation_signature","submit_replication":"https://pith.science/pith/RTQFHJ43K5ZBNF7G7ZJJJQP4N3/action/replication_record"}},"created_at":"2026-06-03T02:05:43.034378+00:00","updated_at":"2026-06-03T02:05:43.034378+00:00"}