{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:B74QU2HNFRWGAKXVJJIF6UW2JO","short_pith_number":"pith:B74QU2HN","canonical_record":{"source":{"id":"1811.01656","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-05T13:03:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ec1cf1985f9128c17388b04e9489de8911866230ee6f7a1ac732b90205646167","abstract_canon_sha256":"0732bc00c1d8d5248d78e7a40d2eee44379b16de7619fa791652798ed54c01a8"},"schema_version":"1.0"},"canonical_sha256":"0ff90a68ed2c6c602af54a505f52da4b866db4957274472ae611f51c2c240280","source":{"kind":"arxiv","id":"1811.01656","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.01656","created_at":"2026-05-17T23:56:36Z"},{"alias_kind":"arxiv_version","alias_value":"1811.01656v2","created_at":"2026-05-17T23:56:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.01656","created_at":"2026-05-17T23:56:36Z"},{"alias_kind":"pith_short_12","alias_value":"B74QU2HNFRWG","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"B74QU2HNFRWGAKXV","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"B74QU2HN","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:B74QU2HNFRWGAKXVJJIF6UW2JO","target":"record","payload":{"canonical_record":{"source":{"id":"1811.01656","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-05T13:03:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ec1cf1985f9128c17388b04e9489de8911866230ee6f7a1ac732b90205646167","abstract_canon_sha256":"0732bc00c1d8d5248d78e7a40d2eee44379b16de7619fa791652798ed54c01a8"},"schema_version":"1.0"},"canonical_sha256":"0ff90a68ed2c6c602af54a505f52da4b866db4957274472ae611f51c2c240280","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:36.343680Z","signature_b64":"xUoaxLVpE7f5lZ89ZFFud36XR4Xwu+llbt/WB5pKBxI0ilJ15aQCh8litXuWHxQgwsSBMe+giffsmJoeWQ8jCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ff90a68ed2c6c602af54a505f52da4b866db4957274472ae611f51c2c240280","last_reissued_at":"2026-05-17T23:56:36.343010Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:36.343010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.01656","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:56:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zaBDHgGHmyJhAOwnmXEnAJBw9zFxvJJMEoUiaFzuc1wMLQg0D5QyaOoCLnuk3ndYUcW0wlJQVi8gJ6/XC2h7Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T12:07:22.137262Z"},"content_sha256":"ddc35b08710df82771461c51d927c27eed41b10ecc69b1f2639cac18676d8e4e","schema_version":"1.0","event_id":"sha256:ddc35b08710df82771461c51d927c27eed41b10ecc69b1f2639cac18676d8e4e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:B74QU2HNFRWGAKXVJJIF6UW2JO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Curved spacetime effective field theory (cEFT) -- construction with the heat kernel method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"{\\L}ukasz Nakonieczny","submitted_at":"2018-11-05T13:03:42Z","abstract_excerpt":"In the presented paper we tackle the problem of the effective field theory in curved spacetime (cEFT) construction. To this end, we propose to use the heat kernel method. After introducing the general formalism based on the well established formulas known from the application of the heat kernel method to deriving the one-loop effective action in curved spacetime, we tested it on selected problems. The discussed examples were chosen to serve as a check of validity of the derived formulas by comparing the obtained results to the known flat spacetime calculations. On the other hand, they allowed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.01656","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":""},"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":"2026-05-17T23:56:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"saLL33DJcJy7oWww5kHhaoI1Pz7v0CIbbcq/efKD07m2MHL59hL09lZciBzZC0QvkOBUOhcaGlxZ8o4CXsj9Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T12:07:22.137718Z"},"content_sha256":"c3b4360fb5e4da4176def6269e2cf1d9eb9882554423d66800d834e08917d373","schema_version":"1.0","event_id":"sha256:c3b4360fb5e4da4176def6269e2cf1d9eb9882554423d66800d834e08917d373"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B74QU2HNFRWGAKXVJJIF6UW2JO/bundle.json","state_url":"https://pith.science/pith/B74QU2HNFRWGAKXVJJIF6UW2JO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B74QU2HNFRWGAKXVJJIF6UW2JO/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":"2026-08-16T12:07:22Z","links":{"resolver":"https://pith.science/pith/B74QU2HNFRWGAKXVJJIF6UW2JO","bundle":"https://pith.science/pith/B74QU2HNFRWGAKXVJJIF6UW2JO/bundle.json","state":"https://pith.science/pith/B74QU2HNFRWGAKXVJJIF6UW2JO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B74QU2HNFRWGAKXVJJIF6UW2JO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:B74QU2HNFRWGAKXVJJIF6UW2JO","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":"0732bc00c1d8d5248d78e7a40d2eee44379b16de7619fa791652798ed54c01a8","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-05T13:03:42Z","title_canon_sha256":"ec1cf1985f9128c17388b04e9489de8911866230ee6f7a1ac732b90205646167"},"schema_version":"1.0","source":{"id":"1811.01656","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.01656","created_at":"2026-05-17T23:56:36Z"},{"alias_kind":"arxiv_version","alias_value":"1811.01656v2","created_at":"2026-05-17T23:56:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.01656","created_at":"2026-05-17T23:56:36Z"},{"alias_kind":"pith_short_12","alias_value":"B74QU2HNFRWG","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"B74QU2HNFRWGAKXV","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"B74QU2HN","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:c3b4360fb5e4da4176def6269e2cf1d9eb9882554423d66800d834e08917d373","target":"graph","created_at":"2026-05-17T23:56:36Z","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":"In the presented paper we tackle the problem of the effective field theory in curved spacetime (cEFT) construction. To this end, we propose to use the heat kernel method. After introducing the general formalism based on the well established formulas known from the application of the heat kernel method to deriving the one-loop effective action in curved spacetime, we tested it on selected problems. The discussed examples were chosen to serve as a check of validity of the derived formulas by comparing the obtained results to the known flat spacetime calculations. On the other hand, they allowed ","authors_text":"{\\L}ukasz Nakonieczny","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-05T13:03:42Z","title":"Curved spacetime effective field theory (cEFT) -- construction with the heat kernel method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.01656","kind":"arxiv","version":2},"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:ddc35b08710df82771461c51d927c27eed41b10ecc69b1f2639cac18676d8e4e","target":"record","created_at":"2026-05-17T23:56:36Z","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":"0732bc00c1d8d5248d78e7a40d2eee44379b16de7619fa791652798ed54c01a8","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-05T13:03:42Z","title_canon_sha256":"ec1cf1985f9128c17388b04e9489de8911866230ee6f7a1ac732b90205646167"},"schema_version":"1.0","source":{"id":"1811.01656","kind":"arxiv","version":2}},"canonical_sha256":"0ff90a68ed2c6c602af54a505f52da4b866db4957274472ae611f51c2c240280","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ff90a68ed2c6c602af54a505f52da4b866db4957274472ae611f51c2c240280","first_computed_at":"2026-05-17T23:56:36.343010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:36.343010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xUoaxLVpE7f5lZ89ZFFud36XR4Xwu+llbt/WB5pKBxI0ilJ15aQCh8litXuWHxQgwsSBMe+giffsmJoeWQ8jCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:36.343680Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.01656","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ddc35b08710df82771461c51d927c27eed41b10ecc69b1f2639cac18676d8e4e","sha256:c3b4360fb5e4da4176def6269e2cf1d9eb9882554423d66800d834e08917d373"],"state_sha256":"6b9fa05145a080bf5e59499db9c46ae72ef7ef3b152dad98665a16bdf3a6a4a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"anXZnlVpXGALwhvVhlZD3JEJtrIGOj2IYEJyHxWXmHVeMLly0H53ky8oJgcZag+o12g9KO3wQYpQa6SbZymODA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T12:07:22.142872Z","bundle_sha256":"62f736061a1bf263579e36724f61014b5336a800359026c29bb0d6e55f55f930"}}