{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:FIEGCSBX2RUTZROPEQ4JPCLGWT","short_pith_number":"pith:FIEGCSBX","schema_version":"1.0","canonical_sha256":"2a08614837d4693cc5cf2438978966b4f4d9d726b094dc70584b25e163b01a07","source":{"kind":"arxiv","id":"1511.04774","version":1},"attestation_state":"computed","paper":{"title":"DtN isospectrality, flat metrics with non-trivial holonomy and comparison formula for determinants of Laplacian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SP","authors_text":"Alexey Kokotov, Luc Hillairet","submitted_at":"2015-11-15T22:35:43Z","abstract_excerpt":"We study comparison formulas for $\\zeta$-regularized determinants of self-adjoint extensions of the Laplacian on flat conical surfaces of genus $g\\geq 2$. The cases of trivial and non-trivial holonomy of the metric turn out to differ significantly."},"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":"1511.04774","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2015-11-15T22:35:43Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"adc74f04e45f7d9701a7711a303422fa245d5f7746621988ccb141d396426119","abstract_canon_sha256":"8f687b6dedc93af41a933a0a5507709a5c7fdd420646808c3868f4ec57aecc2e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:51.721518Z","signature_b64":"YcGrhCRcER1yBDO7TuBUj6YzUeznejQmQAIpyo8uiEo7y5C331NlfGZaz21SV+UIgezmIy5FXrEsBA81Dz/aAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a08614837d4693cc5cf2438978966b4f4d9d726b094dc70584b25e163b01a07","last_reissued_at":"2026-05-18T01:26:51.720983Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:51.720983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"DtN isospectrality, flat metrics with non-trivial holonomy and comparison formula for determinants of Laplacian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SP","authors_text":"Alexey Kokotov, Luc Hillairet","submitted_at":"2015-11-15T22:35:43Z","abstract_excerpt":"We study comparison formulas for $\\zeta$-regularized determinants of self-adjoint extensions of the Laplacian on flat conical surfaces of genus $g\\geq 2$. The cases of trivial and non-trivial holonomy of the metric turn out to differ significantly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04774","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":"1511.04774","created_at":"2026-05-18T01:26:51.721067+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.04774v1","created_at":"2026-05-18T01:26:51.721067+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04774","created_at":"2026-05-18T01:26:51.721067+00:00"},{"alias_kind":"pith_short_12","alias_value":"FIEGCSBX2RUT","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_16","alias_value":"FIEGCSBX2RUTZROP","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_8","alias_value":"FIEGCSBX","created_at":"2026-05-18T12:29:19.899920+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/FIEGCSBX2RUTZROPEQ4JPCLGWT","json":"https://pith.science/pith/FIEGCSBX2RUTZROPEQ4JPCLGWT.json","graph_json":"https://pith.science/api/pith-number/FIEGCSBX2RUTZROPEQ4JPCLGWT/graph.json","events_json":"https://pith.science/api/pith-number/FIEGCSBX2RUTZROPEQ4JPCLGWT/events.json","paper":"https://pith.science/paper/FIEGCSBX"},"agent_actions":{"view_html":"https://pith.science/pith/FIEGCSBX2RUTZROPEQ4JPCLGWT","download_json":"https://pith.science/pith/FIEGCSBX2RUTZROPEQ4JPCLGWT.json","view_paper":"https://pith.science/paper/FIEGCSBX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.04774&json=true","fetch_graph":"https://pith.science/api/pith-number/FIEGCSBX2RUTZROPEQ4JPCLGWT/graph.json","fetch_events":"https://pith.science/api/pith-number/FIEGCSBX2RUTZROPEQ4JPCLGWT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FIEGCSBX2RUTZROPEQ4JPCLGWT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FIEGCSBX2RUTZROPEQ4JPCLGWT/action/storage_attestation","attest_author":"https://pith.science/pith/FIEGCSBX2RUTZROPEQ4JPCLGWT/action/author_attestation","sign_citation":"https://pith.science/pith/FIEGCSBX2RUTZROPEQ4JPCLGWT/action/citation_signature","submit_replication":"https://pith.science/pith/FIEGCSBX2RUTZROPEQ4JPCLGWT/action/replication_record"}},"created_at":"2026-05-18T01:26:51.721067+00:00","updated_at":"2026-05-18T01:26:51.721067+00:00"}