{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:EPNFC4FGCOLTVGETDUOHO34H27","short_pith_number":"pith:EPNFC4FG","schema_version":"1.0","canonical_sha256":"23da5170a613973a98931d1c776f87d7e9efab85adc08cb6c813879e8acb95bf","source":{"kind":"arxiv","id":"1612.05935","version":1},"attestation_state":"computed","paper":{"title":"Salem numbers and the spectrum of hyperbolic surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.NT","authors_text":"Bertrand Deroin, Emmanuel Breuillard","submitted_at":"2016-12-18T15:45:00Z","abstract_excerpt":"We give a reformulation of Salem's conjecture about the absence of Salem numbers near one in terms of a uniform spectral gap for certain arithmetic hyperbolic surfaces."},"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":"1612.05935","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-12-18T15:45:00Z","cross_cats_sorted":["math.SP"],"title_canon_sha256":"059e1cf53bc3d5b1f6e9a4086214cf6ccbb2637ee01251f8a0c208c3f6f00908","abstract_canon_sha256":"c076738b8171a8f4b7a7de22bd36633080b971d5030ba3a53de63826a66ed035"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:46.315810Z","signature_b64":"8TiPqFOtQyuLjQ6IWB0CCXW72QeuOSbQLDbEBZpGdD9841KTQO3/h96jq/GPmXxbh/F1uUnXY0GRLQVApKqhBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23da5170a613973a98931d1c776f87d7e9efab85adc08cb6c813879e8acb95bf","last_reissued_at":"2026-05-18T00:54:46.315218Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:46.315218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Salem numbers and the spectrum of hyperbolic surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.NT","authors_text":"Bertrand Deroin, Emmanuel Breuillard","submitted_at":"2016-12-18T15:45:00Z","abstract_excerpt":"We give a reformulation of Salem's conjecture about the absence of Salem numbers near one in terms of a uniform spectral gap for certain arithmetic hyperbolic surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05935","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":"1612.05935","created_at":"2026-05-18T00:54:46.315307+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.05935v1","created_at":"2026-05-18T00:54:46.315307+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05935","created_at":"2026-05-18T00:54:46.315307+00:00"},{"alias_kind":"pith_short_12","alias_value":"EPNFC4FGCOLT","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_16","alias_value":"EPNFC4FGCOLTVGET","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_8","alias_value":"EPNFC4FG","created_at":"2026-05-18T12:30:12.583610+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/EPNFC4FGCOLTVGETDUOHO34H27","json":"https://pith.science/pith/EPNFC4FGCOLTVGETDUOHO34H27.json","graph_json":"https://pith.science/api/pith-number/EPNFC4FGCOLTVGETDUOHO34H27/graph.json","events_json":"https://pith.science/api/pith-number/EPNFC4FGCOLTVGETDUOHO34H27/events.json","paper":"https://pith.science/paper/EPNFC4FG"},"agent_actions":{"view_html":"https://pith.science/pith/EPNFC4FGCOLTVGETDUOHO34H27","download_json":"https://pith.science/pith/EPNFC4FGCOLTVGETDUOHO34H27.json","view_paper":"https://pith.science/paper/EPNFC4FG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.05935&json=true","fetch_graph":"https://pith.science/api/pith-number/EPNFC4FGCOLTVGETDUOHO34H27/graph.json","fetch_events":"https://pith.science/api/pith-number/EPNFC4FGCOLTVGETDUOHO34H27/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EPNFC4FGCOLTVGETDUOHO34H27/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EPNFC4FGCOLTVGETDUOHO34H27/action/storage_attestation","attest_author":"https://pith.science/pith/EPNFC4FGCOLTVGETDUOHO34H27/action/author_attestation","sign_citation":"https://pith.science/pith/EPNFC4FGCOLTVGETDUOHO34H27/action/citation_signature","submit_replication":"https://pith.science/pith/EPNFC4FGCOLTVGETDUOHO34H27/action/replication_record"}},"created_at":"2026-05-18T00:54:46.315307+00:00","updated_at":"2026-05-18T00:54:46.315307+00:00"}