{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:A5U2RE7H2JKM73QW34BPU5ROR4","short_pith_number":"pith:A5U2RE7H","canonical_record":{"source":{"id":"0912.3873","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-12-19T08:52:04Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"0f7cd247ebb4ff56ed81b00f25b990de3d4b408501de1061b8ad9bc3e422a69e","abstract_canon_sha256":"7c9c523dc5d59a7bc20cd484b50843a12463ffa8670bedf6cd82e4c93e2b776e"},"schema_version":"1.0"},"canonical_sha256":"0769a893e7d254cfee16df02fa762e8f07022c411d636f9419dd2da71c14a299","source":{"kind":"arxiv","id":"0912.3873","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.3873","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"arxiv_version","alias_value":"0912.3873v1","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.3873","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"pith_short_12","alias_value":"A5U2RE7H2JKM","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"A5U2RE7H2JKM73QW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"A5U2RE7H","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:A5U2RE7H2JKM73QW34BPU5ROR4","target":"record","payload":{"canonical_record":{"source":{"id":"0912.3873","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-12-19T08:52:04Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"0f7cd247ebb4ff56ed81b00f25b990de3d4b408501de1061b8ad9bc3e422a69e","abstract_canon_sha256":"7c9c523dc5d59a7bc20cd484b50843a12463ffa8670bedf6cd82e4c93e2b776e"},"schema_version":"1.0"},"canonical_sha256":"0769a893e7d254cfee16df02fa762e8f07022c411d636f9419dd2da71c14a299","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:55.858250Z","signature_b64":"1zmB41lY3rmYR6r3kVLzzcJTs6k7HZcdn4RDL6MO2n7qnk6SU3MH3FcBJW9F7aVDLPfll6mESsMRuF6FtMpGDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0769a893e7d254cfee16df02fa762e8f07022c411d636f9419dd2da71c14a299","last_reissued_at":"2026-05-18T02:33:55.857661Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:55.857661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.3873","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":"2026-05-18T02:33:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wh57AZh9iLX3AAY+fTbsY7rRnedVLFrO6ghydhsxIuxH+U9hfiMLDQtgZWm81GvPsRcMVySGh7rWhdcbEMQqAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T13:48:50.669593Z"},"content_sha256":"cfd6394f035da2f4b00101004eb0ce552c4016c942ccf487c5aab25f665606dd","schema_version":"1.0","event_id":"sha256:cfd6394f035da2f4b00101004eb0ce552c4016c942ccf487c5aab25f665606dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:A5U2RE7H2JKM73QW34BPU5ROR4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reduced Hamiltonian for intersecting shells and Hawking radiation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Pietro Menotti","submitted_at":"2009-12-19T08:52:04Z","abstract_excerpt":"We consider the dynamics of one or more self gravitating shells of matter in a centrally symmetric gravitational field in the Painleve' family of gauges. We give the reduced hamiltonian for two intersecting shells, both massless and massive. Such a formulation is applied to the computation of the semiclassical action of two intersecting shells. The relation of the imaginary part of the space-part of the action to the computation of the Bogoliubov coefficients is revisited."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.3873","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":"2026-05-18T02:33:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fHU9EFmaVl97rV55xG2qSlO6gdmxAPSDJCnVfhji0/a5WovI1FlmDQNjOYmod4ySsWI0AnqpZ+f55LHS45H0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T13:48:50.670275Z"},"content_sha256":"43d427deb800204d22c3255d85cff92356c3685bb4baaced760edb240838484e","schema_version":"1.0","event_id":"sha256:43d427deb800204d22c3255d85cff92356c3685bb4baaced760edb240838484e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A5U2RE7H2JKM73QW34BPU5ROR4/bundle.json","state_url":"https://pith.science/pith/A5U2RE7H2JKM73QW34BPU5ROR4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A5U2RE7H2JKM73QW34BPU5ROR4/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":"2026-06-09T13:48:50Z","links":{"resolver":"https://pith.science/pith/A5U2RE7H2JKM73QW34BPU5ROR4","bundle":"https://pith.science/pith/A5U2RE7H2JKM73QW34BPU5ROR4/bundle.json","state":"https://pith.science/pith/A5U2RE7H2JKM73QW34BPU5ROR4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A5U2RE7H2JKM73QW34BPU5ROR4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:A5U2RE7H2JKM73QW34BPU5ROR4","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":"7c9c523dc5d59a7bc20cd484b50843a12463ffa8670bedf6cd82e4c93e2b776e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-12-19T08:52:04Z","title_canon_sha256":"0f7cd247ebb4ff56ed81b00f25b990de3d4b408501de1061b8ad9bc3e422a69e"},"schema_version":"1.0","source":{"id":"0912.3873","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.3873","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"arxiv_version","alias_value":"0912.3873v1","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.3873","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"pith_short_12","alias_value":"A5U2RE7H2JKM","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"A5U2RE7H2JKM73QW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"A5U2RE7H","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:43d427deb800204d22c3255d85cff92356c3685bb4baaced760edb240838484e","target":"graph","created_at":"2026-05-18T02:33:55Z","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 consider the dynamics of one or more self gravitating shells of matter in a centrally symmetric gravitational field in the Painleve' family of gauges. We give the reduced hamiltonian for two intersecting shells, both massless and massive. Such a formulation is applied to the computation of the semiclassical action of two intersecting shells. The relation of the imaginary part of the space-part of the action to the computation of the Bogoliubov coefficients is revisited.","authors_text":"Pietro Menotti","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-12-19T08:52:04Z","title":"Reduced Hamiltonian for intersecting shells and Hawking radiation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.3873","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:cfd6394f035da2f4b00101004eb0ce552c4016c942ccf487c5aab25f665606dd","target":"record","created_at":"2026-05-18T02:33:55Z","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":"7c9c523dc5d59a7bc20cd484b50843a12463ffa8670bedf6cd82e4c93e2b776e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-12-19T08:52:04Z","title_canon_sha256":"0f7cd247ebb4ff56ed81b00f25b990de3d4b408501de1061b8ad9bc3e422a69e"},"schema_version":"1.0","source":{"id":"0912.3873","kind":"arxiv","version":1}},"canonical_sha256":"0769a893e7d254cfee16df02fa762e8f07022c411d636f9419dd2da71c14a299","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0769a893e7d254cfee16df02fa762e8f07022c411d636f9419dd2da71c14a299","first_computed_at":"2026-05-18T02:33:55.857661Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:55.857661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1zmB41lY3rmYR6r3kVLzzcJTs6k7HZcdn4RDL6MO2n7qnk6SU3MH3FcBJW9F7aVDLPfll6mESsMRuF6FtMpGDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:55.858250Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.3873","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cfd6394f035da2f4b00101004eb0ce552c4016c942ccf487c5aab25f665606dd","sha256:43d427deb800204d22c3255d85cff92356c3685bb4baaced760edb240838484e"],"state_sha256":"a34d341b4dffdf60d8e190ff1ce133747347b9fa9f7a32b37d75f0d78dea07f6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CkKrt4uVFsiK8D21js6vhrn+/aALnfmNDglIxnz55wiy91VS93vyIWY8JEv9c1QOawP+O4wZ4OgRUghBpJqdAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T13:48:50.673910Z","bundle_sha256":"49bf9b42ccc46cdb6ab525c0acae84d62d752103ab31906a351596a186aa26a2"}}