{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:UVTZEWREQMKF2SF3T555QFZMDU","short_pith_number":"pith:UVTZEWRE","canonical_record":{"source":{"id":"1006.4004","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-21T07:54:05Z","cross_cats_sorted":[],"title_canon_sha256":"45f3186b28f58eca9f04980f2ada3b35317ef4b7c25c54536aec36723bac2e54","abstract_canon_sha256":"1daf9a9e2e0b01686e0c9237b3301851a1d507a2dc57616c0f2e505f37595c13"},"schema_version":"1.0"},"canonical_sha256":"a567925a2483145d48bb9f7bd8172c1d3b7c994592028696ed4eac770874b4ce","source":{"kind":"arxiv","id":"1006.4004","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4004","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4004v1","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4004","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"pith_short_12","alias_value":"UVTZEWREQMKF","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UVTZEWREQMKF2SF3","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UVTZEWRE","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:UVTZEWREQMKF2SF3T555QFZMDU","target":"record","payload":{"canonical_record":{"source":{"id":"1006.4004","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-21T07:54:05Z","cross_cats_sorted":[],"title_canon_sha256":"45f3186b28f58eca9f04980f2ada3b35317ef4b7c25c54536aec36723bac2e54","abstract_canon_sha256":"1daf9a9e2e0b01686e0c9237b3301851a1d507a2dc57616c0f2e505f37595c13"},"schema_version":"1.0"},"canonical_sha256":"a567925a2483145d48bb9f7bd8172c1d3b7c994592028696ed4eac770874b4ce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:16.458878Z","signature_b64":"E+u6ANZ5+tRQvxDcF+AizIv/k9iY/aZHAEhdnJqUBvhFTtKcIXtKJEfElZ39RSL4AJuj/boHtKiCNOMxMUMoDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a567925a2483145d48bb9f7bd8172c1d3b7c994592028696ed4eac770874b4ce","last_reissued_at":"2026-05-18T02:33:16.458254Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:16.458254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.4004","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":"2026-05-18T02:33:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"htYC3awwf9CJrPf37coWSQz9TAZ9kp4Bnq07rEU3TAwuPl2LZNy0NGuB9qWzEXghsZx2F7f6gDa52FGy71WMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:20:11.954734Z"},"content_sha256":"2731de706aeb3867a8235ca6d9069220f0e3f22843974ea135938f1ec3ebbf1e","schema_version":"1.0","event_id":"sha256:2731de706aeb3867a8235ca6d9069220f0e3f22843974ea135938f1ec3ebbf1e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:UVTZEWREQMKF2SF3T555QFZMDU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Stokes Phenomenon and Quantum Tunneling for de Sitter Radiation in Nonstationary Coordinates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Sang Pyo Kim (Kunsan Nat'l Univ.)","submitted_at":"2010-06-21T07:54:05Z","abstract_excerpt":"We study quantum tunneling for the de Sitter radiation in the planar coordinates and global coordinates, which are nonstationary coordinates and describe the expanding geometry. Using the phase-integral approximation for the Hamilton-Jacobi action in the complex plane of time, we obtain the particle-production rate in both coordinates and derive the additional sinusoidal factor depending on the dimensionality of spacetime and the quantum number for spherical harmonics in the global coordinates. This approach resolves the factor of two problem in the tunneling method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4004","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":"2026-05-18T02:33:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yravPQJxG/mj2bCgPRxetEQBWFBJhBuATvJyYClVFUwaiBhNR3ipxwrmbf3vmb6CAKP/9nDY08zyz/2Tu/9IDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:20:11.955078Z"},"content_sha256":"090b27434aa968a9b088a220b39ce1a7bb8671103d50f7b56f36064b6c20d559","schema_version":"1.0","event_id":"sha256:090b27434aa968a9b088a220b39ce1a7bb8671103d50f7b56f36064b6c20d559"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UVTZEWREQMKF2SF3T555QFZMDU/bundle.json","state_url":"https://pith.science/pith/UVTZEWREQMKF2SF3T555QFZMDU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UVTZEWREQMKF2SF3T555QFZMDU/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":"2026-05-28T02:20:11Z","links":{"resolver":"https://pith.science/pith/UVTZEWREQMKF2SF3T555QFZMDU","bundle":"https://pith.science/pith/UVTZEWREQMKF2SF3T555QFZMDU/bundle.json","state":"https://pith.science/pith/UVTZEWREQMKF2SF3T555QFZMDU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UVTZEWREQMKF2SF3T555QFZMDU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:UVTZEWREQMKF2SF3T555QFZMDU","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":"1daf9a9e2e0b01686e0c9237b3301851a1d507a2dc57616c0f2e505f37595c13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-21T07:54:05Z","title_canon_sha256":"45f3186b28f58eca9f04980f2ada3b35317ef4b7c25c54536aec36723bac2e54"},"schema_version":"1.0","source":{"id":"1006.4004","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4004","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4004v1","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4004","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"pith_short_12","alias_value":"UVTZEWREQMKF","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UVTZEWREQMKF2SF3","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UVTZEWRE","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:090b27434aa968a9b088a220b39ce1a7bb8671103d50f7b56f36064b6c20d559","target":"graph","created_at":"2026-05-18T02:33:16Z","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 study quantum tunneling for the de Sitter radiation in the planar coordinates and global coordinates, which are nonstationary coordinates and describe the expanding geometry. Using the phase-integral approximation for the Hamilton-Jacobi action in the complex plane of time, we obtain the particle-production rate in both coordinates and derive the additional sinusoidal factor depending on the dimensionality of spacetime and the quantum number for spherical harmonics in the global coordinates. This approach resolves the factor of two problem in the tunneling method.","authors_text":"Sang Pyo Kim (Kunsan Nat'l Univ.)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-21T07:54:05Z","title":"The Stokes Phenomenon and Quantum Tunneling for de Sitter Radiation in Nonstationary Coordinates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4004","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":"sha256:2731de706aeb3867a8235ca6d9069220f0e3f22843974ea135938f1ec3ebbf1e","target":"record","created_at":"2026-05-18T02:33:16Z","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":"1daf9a9e2e0b01686e0c9237b3301851a1d507a2dc57616c0f2e505f37595c13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-21T07:54:05Z","title_canon_sha256":"45f3186b28f58eca9f04980f2ada3b35317ef4b7c25c54536aec36723bac2e54"},"schema_version":"1.0","source":{"id":"1006.4004","kind":"arxiv","version":1}},"canonical_sha256":"a567925a2483145d48bb9f7bd8172c1d3b7c994592028696ed4eac770874b4ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a567925a2483145d48bb9f7bd8172c1d3b7c994592028696ed4eac770874b4ce","first_computed_at":"2026-05-18T02:33:16.458254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:16.458254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E+u6ANZ5+tRQvxDcF+AizIv/k9iY/aZHAEhdnJqUBvhFTtKcIXtKJEfElZ39RSL4AJuj/boHtKiCNOMxMUMoDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:16.458878Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4004","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2731de706aeb3867a8235ca6d9069220f0e3f22843974ea135938f1ec3ebbf1e","sha256:090b27434aa968a9b088a220b39ce1a7bb8671103d50f7b56f36064b6c20d559"],"state_sha256":"c4f35360ebe97dc36bf420511c50cc1802bcdd5df25b12d25d5c399296072e64"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mjxJc+kB5nc5Sbm00iW55mtagVRnK3IhVpPsIQGlhkV/8p8tW/yAkQhSvQaCWpX3cMPbFoH1gRWAz9bOAEsvBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T02:20:11.956991Z","bundle_sha256":"465b314c4e1ee3a121f38fc7c4c4a79dacb73db4e49a38c1e7ce498e0de96b64"}}