{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:ITGX2JGUGHOIR3YML6BOT5R45O","short_pith_number":"pith:ITGX2JGU","canonical_record":{"source":{"id":"hep-th/0211079","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-11-09T12:02:45Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"127ead563b4e29234a8069400101db6d2e60b161e9e1040bf157b792f776677a","abstract_canon_sha256":"7a6ae6c949460e269c12939c0fba217b7b4424fde68213b3eca36ba9de9749e0"},"schema_version":"1.0"},"canonical_sha256":"44cd7d24d431dc88ef0c5f82e9f63ceb8e44465d9f35f9621498eeeab0547cd4","source":{"kind":"arxiv","id":"hep-th/0211079","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0211079","created_at":"2026-05-18T04:35:23Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0211079v1","created_at":"2026-05-18T04:35:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0211079","created_at":"2026-05-18T04:35:23Z"},{"alias_kind":"pith_short_12","alias_value":"ITGX2JGUGHOI","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"ITGX2JGUGHOIR3YM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"ITGX2JGU","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:ITGX2JGUGHOIR3YML6BOT5R45O","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0211079","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-11-09T12:02:45Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"127ead563b4e29234a8069400101db6d2e60b161e9e1040bf157b792f776677a","abstract_canon_sha256":"7a6ae6c949460e269c12939c0fba217b7b4424fde68213b3eca36ba9de9749e0"},"schema_version":"1.0"},"canonical_sha256":"44cd7d24d431dc88ef0c5f82e9f63ceb8e44465d9f35f9621498eeeab0547cd4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:23.475624Z","signature_b64":"Gk6bDN0kNHBRbfXOjtJIO2fa5To1NCjqD5Q25p1/1/y8AXDyJ1iHXmFq/gJ8FDhtrnUaTLjgXpU5rRpcoZtSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44cd7d24d431dc88ef0c5f82e9f63ceb8e44465d9f35f9621498eeeab0547cd4","last_reissued_at":"2026-05-18T04:35:23.475193Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:23.475193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0211079","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":"2026-05-18T04:35:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L8ERTU1Zi2DaisfNbwFTfO4EdHi8WwO+fDgjIHyxgMyJkSa0pq/LDn+3FFWtO5a6kQSJxJQPvI8KA6c2ry82Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:06:34.919132Z"},"content_sha256":"7d27eb16366614ff6fb4a0a05bf25b80d8e1de048be8f08d20054e55254605f6","schema_version":"1.0","event_id":"sha256:7d27eb16366614ff6fb4a0a05bf25b80d8e1de048be8f08d20054e55254605f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:ITGX2JGUGHOIR3YML6BOT5R45O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One-Loop Effective Action on Rotational Spacetime: Zeta-Function Regularization and Schwinger Perturbative Expansion","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Wung-Hong Huang","submitted_at":"2002-11-09T12:02:45Z","abstract_excerpt":"The zeta-function regularization method is used to evaluate the renormalized effective action for massless conformally coupling scalar field propagating in a closed Friedman spacetime perturbed by a small rotation. To the second order of the rotational parameter in the model spacetime the analytic form of the effective action is obtained with the help of the Schwinger perturbation formula. After investigating the time evolution of the rotational parameter we find that the quantum field effect can produce an effect which damps the cosmological rotational in the early universe."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0211079","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":"2026-05-18T04:35:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XKHCtG5u+JcppXWw4Y47lIVgKjCSxkFMXLYZFe/L5iyeg4di0JCxZmA5nqHWSYDbhZd/RxQvAl1hh8BPaqCtCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:06:34.919494Z"},"content_sha256":"8eddf50b19d5ae44bbc5efb4117600eb54a9f0c034a196251230aab5a768dbef","schema_version":"1.0","event_id":"sha256:8eddf50b19d5ae44bbc5efb4117600eb54a9f0c034a196251230aab5a768dbef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ITGX2JGUGHOIR3YML6BOT5R45O/bundle.json","state_url":"https://pith.science/pith/ITGX2JGUGHOIR3YML6BOT5R45O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ITGX2JGUGHOIR3YML6BOT5R45O/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":"2026-06-01T12:06:34Z","links":{"resolver":"https://pith.science/pith/ITGX2JGUGHOIR3YML6BOT5R45O","bundle":"https://pith.science/pith/ITGX2JGUGHOIR3YML6BOT5R45O/bundle.json","state":"https://pith.science/pith/ITGX2JGUGHOIR3YML6BOT5R45O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ITGX2JGUGHOIR3YML6BOT5R45O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:ITGX2JGUGHOIR3YML6BOT5R45O","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":"7a6ae6c949460e269c12939c0fba217b7b4424fde68213b3eca36ba9de9749e0","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2002-11-09T12:02:45Z","title_canon_sha256":"127ead563b4e29234a8069400101db6d2e60b161e9e1040bf157b792f776677a"},"schema_version":"1.0","source":{"id":"hep-th/0211079","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0211079","created_at":"2026-05-18T04:35:23Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0211079v1","created_at":"2026-05-18T04:35:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0211079","created_at":"2026-05-18T04:35:23Z"},{"alias_kind":"pith_short_12","alias_value":"ITGX2JGUGHOI","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"ITGX2JGUGHOIR3YM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"ITGX2JGU","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:8eddf50b19d5ae44bbc5efb4117600eb54a9f0c034a196251230aab5a768dbef","target":"graph","created_at":"2026-05-18T04:35:23Z","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":"The zeta-function regularization method is used to evaluate the renormalized effective action for massless conformally coupling scalar field propagating in a closed Friedman spacetime perturbed by a small rotation. To the second order of the rotational parameter in the model spacetime the analytic form of the effective action is obtained with the help of the Schwinger perturbation formula. After investigating the time evolution of the rotational parameter we find that the quantum field effect can produce an effect which damps the cosmological rotational in the early universe.","authors_text":"Wung-Hong Huang","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-11-09T12:02:45Z","title":"One-Loop Effective Action on Rotational Spacetime: Zeta-Function Regularization and Schwinger Perturbative Expansion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0211079","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":"sha256:7d27eb16366614ff6fb4a0a05bf25b80d8e1de048be8f08d20054e55254605f6","target":"record","created_at":"2026-05-18T04:35:23Z","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":"7a6ae6c949460e269c12939c0fba217b7b4424fde68213b3eca36ba9de9749e0","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2002-11-09T12:02:45Z","title_canon_sha256":"127ead563b4e29234a8069400101db6d2e60b161e9e1040bf157b792f776677a"},"schema_version":"1.0","source":{"id":"hep-th/0211079","kind":"arxiv","version":1}},"canonical_sha256":"44cd7d24d431dc88ef0c5f82e9f63ceb8e44465d9f35f9621498eeeab0547cd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44cd7d24d431dc88ef0c5f82e9f63ceb8e44465d9f35f9621498eeeab0547cd4","first_computed_at":"2026-05-18T04:35:23.475193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:23.475193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gk6bDN0kNHBRbfXOjtJIO2fa5To1NCjqD5Q25p1/1/y8AXDyJ1iHXmFq/gJ8FDhtrnUaTLjgXpU5rRpcoZtSBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:23.475624Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0211079","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d27eb16366614ff6fb4a0a05bf25b80d8e1de048be8f08d20054e55254605f6","sha256:8eddf50b19d5ae44bbc5efb4117600eb54a9f0c034a196251230aab5a768dbef"],"state_sha256":"21d752afb99633b0192208c52ceb47b4719961282c7ac64b0ee88ece2362df62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g9KXp64qjwQzcwsGRh9g/ZA5m5UTfGvweknRQaV5gLLOGh73c2ct8By69yyAz5ZJffU2DPaXEd5R7m2sMglaCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:06:34.921512Z","bundle_sha256":"920748e113afe94b224a1483eb9da545c600c002c6215923d41db00faa29ba6a"}}