{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:EM7DYKRQR6V3FMV37CTHZVE57Z","short_pith_number":"pith:EM7DYKRQ","canonical_record":{"source":{"id":"1106.4153","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-21T09:50:22Z","cross_cats_sorted":[],"title_canon_sha256":"5f4ef7af2e534b2bf82631c1cfba3c9f41bb29e0304132b4df843c18f3637777","abstract_canon_sha256":"3cf16ee44a658bf5438ce18e4c949fe77bbdf307d1e91e7b28cc4a01eb84856b"},"schema_version":"1.0"},"canonical_sha256":"233e3c2a308fabb2b2bbf8a67cd49dfe685768d1dbfb1afe6e17fff655d52fdb","source":{"kind":"arxiv","id":"1106.4153","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4153","created_at":"2026-05-18T02:01:32Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4153v1","created_at":"2026-05-18T02:01:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4153","created_at":"2026-05-18T02:01:32Z"},{"alias_kind":"pith_short_12","alias_value":"EM7DYKRQR6V3","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EM7DYKRQR6V3FMV3","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EM7DYKRQ","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:EM7DYKRQR6V3FMV37CTHZVE57Z","target":"record","payload":{"canonical_record":{"source":{"id":"1106.4153","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-21T09:50:22Z","cross_cats_sorted":[],"title_canon_sha256":"5f4ef7af2e534b2bf82631c1cfba3c9f41bb29e0304132b4df843c18f3637777","abstract_canon_sha256":"3cf16ee44a658bf5438ce18e4c949fe77bbdf307d1e91e7b28cc4a01eb84856b"},"schema_version":"1.0"},"canonical_sha256":"233e3c2a308fabb2b2bbf8a67cd49dfe685768d1dbfb1afe6e17fff655d52fdb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:32.480828Z","signature_b64":"ay6714Lh0i6PRIf+EvvBQm1N0jpMwR/JFS/i5sKcgz0VH2AgQbzZ5R9p4nJxWoQVemzgmq+ODpT025Z1W/5wBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"233e3c2a308fabb2b2bbf8a67cd49dfe685768d1dbfb1afe6e17fff655d52fdb","last_reissued_at":"2026-05-18T02:01:32.480451Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:32.480451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.4153","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":"2026-05-18T02:01:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XEkwV+WaP6nQk/RX040irvsiYAw0/N2syUZYIorwPnInHYmw16FPi5Mke1aoX0hN+dRJon4YRXgHJ9g8tp7wBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:36:56.588046Z"},"content_sha256":"c6c52e167fc561b593e2792ccc11cc2442a37d4cd288bc79a7a6b7c84e5877f1","schema_version":"1.0","event_id":"sha256:c6c52e167fc561b593e2792ccc11cc2442a37d4cd288bc79a7a6b7c84e5877f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:EM7DYKRQR6V3FMV37CTHZVE57Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tunnelling Methods and Hawking's radiation: achievements and prospects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"G. Acquaviva, L. Vanzo, R. Di Criscienzo","submitted_at":"2011-06-21T09:50:22Z","abstract_excerpt":"The aim of this work is to review the tunnelling method as an alternative description of the quantum radiation from black holes and cosmological horizons. The method is first formulated and discussed for the case of stationary black holes, then a foundation is provided in terms of analytic continuation throughout complex space-time. The two principal implementations of the tunnelling approach, which are the null geodesic method and the Hamilton-Jacobi method, are shown to be equivalent in the stationary case. The Hamilton-Jacobi method is then extended to cover spherically symmetric dynamical "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4153","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":"2026-05-18T02:01:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x80w0P/wZUw9mwZ1YUjE0VZ4pQfMc0IK3LrjMYuouzjM9JFiY5T8m1oaWRatygLcJ7xLw531VWYyl+wZiDAVBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:36:56.588588Z"},"content_sha256":"d72c304317d7dec6cab324c5809ad7f55b31868f542266f7bf1fd27413d17c14","schema_version":"1.0","event_id":"sha256:d72c304317d7dec6cab324c5809ad7f55b31868f542266f7bf1fd27413d17c14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EM7DYKRQR6V3FMV37CTHZVE57Z/bundle.json","state_url":"https://pith.science/pith/EM7DYKRQR6V3FMV37CTHZVE57Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EM7DYKRQR6V3FMV37CTHZVE57Z/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":"2026-05-26T19:36:56Z","links":{"resolver":"https://pith.science/pith/EM7DYKRQR6V3FMV37CTHZVE57Z","bundle":"https://pith.science/pith/EM7DYKRQR6V3FMV37CTHZVE57Z/bundle.json","state":"https://pith.science/pith/EM7DYKRQR6V3FMV37CTHZVE57Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EM7DYKRQR6V3FMV37CTHZVE57Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EM7DYKRQR6V3FMV37CTHZVE57Z","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":"3cf16ee44a658bf5438ce18e4c949fe77bbdf307d1e91e7b28cc4a01eb84856b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-21T09:50:22Z","title_canon_sha256":"5f4ef7af2e534b2bf82631c1cfba3c9f41bb29e0304132b4df843c18f3637777"},"schema_version":"1.0","source":{"id":"1106.4153","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4153","created_at":"2026-05-18T02:01:32Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4153v1","created_at":"2026-05-18T02:01:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4153","created_at":"2026-05-18T02:01:32Z"},{"alias_kind":"pith_short_12","alias_value":"EM7DYKRQR6V3","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EM7DYKRQR6V3FMV3","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EM7DYKRQ","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:d72c304317d7dec6cab324c5809ad7f55b31868f542266f7bf1fd27413d17c14","target":"graph","created_at":"2026-05-18T02:01:32Z","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 aim of this work is to review the tunnelling method as an alternative description of the quantum radiation from black holes and cosmological horizons. The method is first formulated and discussed for the case of stationary black holes, then a foundation is provided in terms of analytic continuation throughout complex space-time. The two principal implementations of the tunnelling approach, which are the null geodesic method and the Hamilton-Jacobi method, are shown to be equivalent in the stationary case. The Hamilton-Jacobi method is then extended to cover spherically symmetric dynamical ","authors_text":"G. Acquaviva, L. Vanzo, R. Di Criscienzo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-21T09:50:22Z","title":"Tunnelling Methods and Hawking's radiation: achievements and prospects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4153","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:c6c52e167fc561b593e2792ccc11cc2442a37d4cd288bc79a7a6b7c84e5877f1","target":"record","created_at":"2026-05-18T02:01:32Z","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":"3cf16ee44a658bf5438ce18e4c949fe77bbdf307d1e91e7b28cc4a01eb84856b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-21T09:50:22Z","title_canon_sha256":"5f4ef7af2e534b2bf82631c1cfba3c9f41bb29e0304132b4df843c18f3637777"},"schema_version":"1.0","source":{"id":"1106.4153","kind":"arxiv","version":1}},"canonical_sha256":"233e3c2a308fabb2b2bbf8a67cd49dfe685768d1dbfb1afe6e17fff655d52fdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"233e3c2a308fabb2b2bbf8a67cd49dfe685768d1dbfb1afe6e17fff655d52fdb","first_computed_at":"2026-05-18T02:01:32.480451Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:32.480451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ay6714Lh0i6PRIf+EvvBQm1N0jpMwR/JFS/i5sKcgz0VH2AgQbzZ5R9p4nJxWoQVemzgmq+ODpT025Z1W/5wBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:32.480828Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.4153","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6c52e167fc561b593e2792ccc11cc2442a37d4cd288bc79a7a6b7c84e5877f1","sha256:d72c304317d7dec6cab324c5809ad7f55b31868f542266f7bf1fd27413d17c14"],"state_sha256":"6a6dc511968ae24c3e6d8e357d1f2c390e61f0fc17f89ed6e4dd5db86a433fb8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oYZJ00X4clyOFk5gpLaxsak2/30cNqG31o86dGcfi5f8PQxMgHzCooFP1dRnpP+wCqZv80ed5s011leSAThSBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T19:36:56.591799Z","bundle_sha256":"b74e43ce711912ff581ec67e516f145a28640fd46345ff0f6960dd1057b1b77c"}}