{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:EE6WLCF4CGKCXVLZKYLWHRTOOY","short_pith_number":"pith:EE6WLCF4","schema_version":"1.0","canonical_sha256":"213d6588bc11942bd579561763c66e763606ae4aaa022df05aa9c99c356666c5","source":{"kind":"arxiv","id":"hep-th/9701060","version":2},"attestation_state":"computed","paper":{"title":"Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Elizalde, L. Vanzo, S. Zerbini","submitted_at":"1997-01-14T09:01:22Z","abstract_excerpt":"The multiplicative anomaly associated with the zeta-function regularized determinant is computed for the Laplace-type operators $L_1=-\\lap+V_1$ and $L_2=-\\lap+V_2$, with $V_1$, $V_2$ constant, in a D-dimensional compact smooth manifold $ M_D$, making use of several results due to Wodzicki and by direct calculations in some explicit examples. It is found that the multiplicative anomaly is vanishing for $D$ odd and for D=2. An application to the one-loop effective potential of the O(2) self-interacting scalar model is outlined."},"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":"hep-th/9701060","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-01-14T09:01:22Z","cross_cats_sorted":[],"title_canon_sha256":"4518f3b87c93d5e3ee4cce948daa366c9f07308d1becee47f45092e9c14bfee9","abstract_canon_sha256":"27a3c1674e462c6020e2ec291174db36067b56e6805d8d33cb5275ce0ce603c2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:05:22.067051Z","signature_b64":"ZTSF1wf8UTBnUMNFHZz+vE0kkFB5nlQee9OgIGlI+NC8qjCXHqG4pTPOrPGSq3gn5fkbAQS624iICnTW9YFXCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"213d6588bc11942bd579561763c66e763606ae4aaa022df05aa9c99c356666c5","last_reissued_at":"2026-07-04T16:05:22.066204Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:05:22.066204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Elizalde, L. Vanzo, S. Zerbini","submitted_at":"1997-01-14T09:01:22Z","abstract_excerpt":"The multiplicative anomaly associated with the zeta-function regularized determinant is computed for the Laplace-type operators $L_1=-\\lap+V_1$ and $L_2=-\\lap+V_2$, with $V_1$, $V_2$ constant, in a D-dimensional compact smooth manifold $ M_D$, making use of several results due to Wodzicki and by direct calculations in some explicit examples. It is found that the multiplicative anomaly is vanishing for $D$ odd and for D=2. An application to the one-loop effective potential of the O(2) self-interacting scalar model is outlined."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9701060","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/hep-th/9701060/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":"hep-th/9701060","created_at":"2026-07-04T16:05:22.066259+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9701060v2","created_at":"2026-07-04T16:05:22.066259+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9701060","created_at":"2026-07-04T16:05:22.066259+00:00"},{"alias_kind":"pith_short_12","alias_value":"EE6WLCF4CGKC","created_at":"2026-07-04T16:05:22.066259+00:00"},{"alias_kind":"pith_short_16","alias_value":"EE6WLCF4CGKCXVLZ","created_at":"2026-07-04T16:05:22.066259+00:00"},{"alias_kind":"pith_short_8","alias_value":"EE6WLCF4","created_at":"2026-07-04T16:05:22.066259+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2604.05972","citing_title":"Background Fields Meet the Heat Kernel: Gauge Invariance and RGEs without diagrams","ref_index":18,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EE6WLCF4CGKCXVLZKYLWHRTOOY","json":"https://pith.science/pith/EE6WLCF4CGKCXVLZKYLWHRTOOY.json","graph_json":"https://pith.science/api/pith-number/EE6WLCF4CGKCXVLZKYLWHRTOOY/graph.json","events_json":"https://pith.science/api/pith-number/EE6WLCF4CGKCXVLZKYLWHRTOOY/events.json","paper":"https://pith.science/paper/EE6WLCF4"},"agent_actions":{"view_html":"https://pith.science/pith/EE6WLCF4CGKCXVLZKYLWHRTOOY","download_json":"https://pith.science/pith/EE6WLCF4CGKCXVLZKYLWHRTOOY.json","view_paper":"https://pith.science/paper/EE6WLCF4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9701060&json=true","fetch_graph":"https://pith.science/api/pith-number/EE6WLCF4CGKCXVLZKYLWHRTOOY/graph.json","fetch_events":"https://pith.science/api/pith-number/EE6WLCF4CGKCXVLZKYLWHRTOOY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EE6WLCF4CGKCXVLZKYLWHRTOOY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EE6WLCF4CGKCXVLZKYLWHRTOOY/action/storage_attestation","attest_author":"https://pith.science/pith/EE6WLCF4CGKCXVLZKYLWHRTOOY/action/author_attestation","sign_citation":"https://pith.science/pith/EE6WLCF4CGKCXVLZKYLWHRTOOY/action/citation_signature","submit_replication":"https://pith.science/pith/EE6WLCF4CGKCXVLZKYLWHRTOOY/action/replication_record"}},"created_at":"2026-07-04T16:05:22.066259+00:00","updated_at":"2026-07-04T16:05:22.066259+00:00"}