{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:H32DS442EUPWJO4IQJLFG5GQIW","short_pith_number":"pith:H32DS442","schema_version":"1.0","canonical_sha256":"3ef439739a251f64bb8882565374d045b65a2c466b6bc2ae4ba0af6fce1ec23d","source":{"kind":"arxiv","id":"1601.04626","version":1},"attestation_state":"computed","paper":{"title":"Spectral Expansion for the Asymptotically Spectral Periodic Differential Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"O. A. Veliev","submitted_at":"2016-01-18T17:57:36Z","abstract_excerpt":"In this paper we investigate the spectral expansion for the asymptotically spectral differential operators generated in all real line by ordinary differential expression of arbitrary order with periodic matrix-valued coefficients"},"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":"1601.04626","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-01-18T17:57:36Z","cross_cats_sorted":[],"title_canon_sha256":"195039f327c3c3314922e0599b42977e534f6d090063c356d2f891b07869911c","abstract_canon_sha256":"2b518e273dc83161357d39c11002fb649dd9410f9b9aa9ee4ab0c7e1cb351460"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:44.598779Z","signature_b64":"GrJwB4Zu407T7MUmt7/k202SeVfs1m0jSV29ZnTlctePAuBEp2jwmHvOcBvxF/+iWEiSux88FlhhNH5eoX8gDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ef439739a251f64bb8882565374d045b65a2c466b6bc2ae4ba0af6fce1ec23d","last_reissued_at":"2026-05-18T01:22:44.598157Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:44.598157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral Expansion for the Asymptotically Spectral Periodic Differential Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"O. A. Veliev","submitted_at":"2016-01-18T17:57:36Z","abstract_excerpt":"In this paper we investigate the spectral expansion for the asymptotically spectral differential operators generated in all real line by ordinary differential expression of arbitrary order with periodic matrix-valued coefficients"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04626","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":""},"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":"1601.04626","created_at":"2026-05-18T01:22:44.598238+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.04626v1","created_at":"2026-05-18T01:22:44.598238+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04626","created_at":"2026-05-18T01:22:44.598238+00:00"},{"alias_kind":"pith_short_12","alias_value":"H32DS442EUPW","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"H32DS442EUPWJO4I","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"H32DS442","created_at":"2026-05-18T12:30:19.053100+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/H32DS442EUPWJO4IQJLFG5GQIW","json":"https://pith.science/pith/H32DS442EUPWJO4IQJLFG5GQIW.json","graph_json":"https://pith.science/api/pith-number/H32DS442EUPWJO4IQJLFG5GQIW/graph.json","events_json":"https://pith.science/api/pith-number/H32DS442EUPWJO4IQJLFG5GQIW/events.json","paper":"https://pith.science/paper/H32DS442"},"agent_actions":{"view_html":"https://pith.science/pith/H32DS442EUPWJO4IQJLFG5GQIW","download_json":"https://pith.science/pith/H32DS442EUPWJO4IQJLFG5GQIW.json","view_paper":"https://pith.science/paper/H32DS442","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.04626&json=true","fetch_graph":"https://pith.science/api/pith-number/H32DS442EUPWJO4IQJLFG5GQIW/graph.json","fetch_events":"https://pith.science/api/pith-number/H32DS442EUPWJO4IQJLFG5GQIW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H32DS442EUPWJO4IQJLFG5GQIW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H32DS442EUPWJO4IQJLFG5GQIW/action/storage_attestation","attest_author":"https://pith.science/pith/H32DS442EUPWJO4IQJLFG5GQIW/action/author_attestation","sign_citation":"https://pith.science/pith/H32DS442EUPWJO4IQJLFG5GQIW/action/citation_signature","submit_replication":"https://pith.science/pith/H32DS442EUPWJO4IQJLFG5GQIW/action/replication_record"}},"created_at":"2026-05-18T01:22:44.598238+00:00","updated_at":"2026-05-18T01:22:44.598238+00:00"}