{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:526HR7LQBBCRCRMNZYB4RQMLQR","short_pith_number":"pith:526HR7LQ","canonical_record":{"source":{"id":"1708.08730","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-08-29T12:59:51Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"84eaa23f5b6134113b3c3702b1ff085d0907f889fffe25112932d101e2ab6356","abstract_canon_sha256":"acb8f5651a0d76f4e008af82a1379c09ff8c2c7fd483ed42da38ca2ead9116b1"},"schema_version":"1.0"},"canonical_sha256":"eebc78fd70084511458dce03c8c18b8464dc891f580d6f9135edb90876d45287","source":{"kind":"arxiv","id":"1708.08730","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08730","created_at":"2026-05-18T00:36:25Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08730v1","created_at":"2026-05-18T00:36:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08730","created_at":"2026-05-18T00:36:25Z"},{"alias_kind":"pith_short_12","alias_value":"526HR7LQBBCR","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"526HR7LQBBCRCRMN","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"526HR7LQ","created_at":"2026-05-18T12:31:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:526HR7LQBBCRCRMNZYB4RQMLQR","target":"record","payload":{"canonical_record":{"source":{"id":"1708.08730","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-08-29T12:59:51Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"84eaa23f5b6134113b3c3702b1ff085d0907f889fffe25112932d101e2ab6356","abstract_canon_sha256":"acb8f5651a0d76f4e008af82a1379c09ff8c2c7fd483ed42da38ca2ead9116b1"},"schema_version":"1.0"},"canonical_sha256":"eebc78fd70084511458dce03c8c18b8464dc891f580d6f9135edb90876d45287","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:25.894238Z","signature_b64":"qlFUQDrzNdoe8U233o6CO5nAm02VGcPDsV4Dt4Z77tXWgDJQaxLnTnasOlmtT3HewN7l9ZnjG5ICqCSzKwD+Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eebc78fd70084511458dce03c8c18b8464dc891f580d6f9135edb90876d45287","last_reissued_at":"2026-05-18T00:36:25.893571Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:25.893571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.08730","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:36:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OiBqC27QQWBZACr9h9zUz5vIGAuqSBs+lvFksTX1I/+k75CLrzlq4v8jj7YdrvXynWuFIZ7vGSNTBJdFhg3EBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:07:29.005401Z"},"content_sha256":"ecedc4311d16b684ed7df35e97bae3c236bb946e0606097c77910f0ee89d101d","schema_version":"1.0","event_id":"sha256:ecedc4311d16b684ed7df35e97bae3c236bb946e0606097c77910f0ee89d101d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:526HR7LQBBCRCRMNZYB4RQMLQR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vacuum energy via dimensional reduction of functional determinants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Cesar D. Fosco, Francisco D. Mazzitelli","submitted_at":"2017-08-29T12:59:51Z","abstract_excerpt":"We apply a `dimensional reduction' mechanism to the evaluation of the functional integral for the vacuum energy of a real scalar field in the presence of non-trivial backgrounds, in d+1 dimensions. The reduction is implemented by applying a generalized version of Gelfand-Yaglom's theorem to the corresponding functional determinant. The main outcome of that procedure is an alternative representation for the Casimir energy, which involves one spatial dimension less than the original problem. We show that, for some configurations, important information about the reduced problem can be obtained. W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08730","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:36:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DsDVhsvZPRPRPjoWB0SddeXCB6hfroVjxViM2/YQ3lpqWbNxG15kX5yBl+/TNlZVTQSml3p2msFkv3NyQ1YkCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:07:29.006004Z"},"content_sha256":"50192a608b1d999d58cbbf2ff0b87f53329fc62113a74b374f41cbe6253482c0","schema_version":"1.0","event_id":"sha256:50192a608b1d999d58cbbf2ff0b87f53329fc62113a74b374f41cbe6253482c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/526HR7LQBBCRCRMNZYB4RQMLQR/bundle.json","state_url":"https://pith.science/pith/526HR7LQBBCRCRMNZYB4RQMLQR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/526HR7LQBBCRCRMNZYB4RQMLQR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T20:07:29Z","links":{"resolver":"https://pith.science/pith/526HR7LQBBCRCRMNZYB4RQMLQR","bundle":"https://pith.science/pith/526HR7LQBBCRCRMNZYB4RQMLQR/bundle.json","state":"https://pith.science/pith/526HR7LQBBCRCRMNZYB4RQMLQR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/526HR7LQBBCRCRMNZYB4RQMLQR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:526HR7LQBBCRCRMNZYB4RQMLQR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"acb8f5651a0d76f4e008af82a1379c09ff8c2c7fd483ed42da38ca2ead9116b1","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-08-29T12:59:51Z","title_canon_sha256":"84eaa23f5b6134113b3c3702b1ff085d0907f889fffe25112932d101e2ab6356"},"schema_version":"1.0","source":{"id":"1708.08730","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08730","created_at":"2026-05-18T00:36:25Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08730v1","created_at":"2026-05-18T00:36:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08730","created_at":"2026-05-18T00:36:25Z"},{"alias_kind":"pith_short_12","alias_value":"526HR7LQBBCR","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"526HR7LQBBCRCRMN","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"526HR7LQ","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:50192a608b1d999d58cbbf2ff0b87f53329fc62113a74b374f41cbe6253482c0","target":"graph","created_at":"2026-05-18T00:36:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We apply a `dimensional reduction' mechanism to the evaluation of the functional integral for the vacuum energy of a real scalar field in the presence of non-trivial backgrounds, in d+1 dimensions. The reduction is implemented by applying a generalized version of Gelfand-Yaglom's theorem to the corresponding functional determinant. The main outcome of that procedure is an alternative representation for the Casimir energy, which involves one spatial dimension less than the original problem. We show that, for some configurations, important information about the reduced problem can be obtained. W","authors_text":"Cesar D. Fosco, Francisco D. Mazzitelli","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-08-29T12:59:51Z","title":"Vacuum energy via dimensional reduction of functional determinants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08730","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ecedc4311d16b684ed7df35e97bae3c236bb946e0606097c77910f0ee89d101d","target":"record","created_at":"2026-05-18T00:36:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"acb8f5651a0d76f4e008af82a1379c09ff8c2c7fd483ed42da38ca2ead9116b1","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-08-29T12:59:51Z","title_canon_sha256":"84eaa23f5b6134113b3c3702b1ff085d0907f889fffe25112932d101e2ab6356"},"schema_version":"1.0","source":{"id":"1708.08730","kind":"arxiv","version":1}},"canonical_sha256":"eebc78fd70084511458dce03c8c18b8464dc891f580d6f9135edb90876d45287","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eebc78fd70084511458dce03c8c18b8464dc891f580d6f9135edb90876d45287","first_computed_at":"2026-05-18T00:36:25.893571Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:25.893571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qlFUQDrzNdoe8U233o6CO5nAm02VGcPDsV4Dt4Z77tXWgDJQaxLnTnasOlmtT3HewN7l9ZnjG5ICqCSzKwD+Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:25.894238Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.08730","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecedc4311d16b684ed7df35e97bae3c236bb946e0606097c77910f0ee89d101d","sha256:50192a608b1d999d58cbbf2ff0b87f53329fc62113a74b374f41cbe6253482c0"],"state_sha256":"492e8f83d67140c86b958e7eacf620bc392d0ab34416bca1ac04ecd8ede8c028"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PtPo2cPD9yPdm1O2e7Qh/SuSZSqdl9mJq00hXxEHAPDiuf/BS8gyEiY3a+P/i0yfrq6EEu4pCjypDq5DHbYOAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T20:07:29.009529Z","bundle_sha256":"4574b3c589ff6bb894e5a54ef361ed2190a6fb75937e4ef0daaf5f5ed95221c5"}}