{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:SLMILDANNOUYRCRPX6MFRV7NAJ","short_pith_number":"pith:SLMILDAN","canonical_record":{"source":{"id":"0704.0531","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-04-04T09:34:35Z","cross_cats_sorted":[],"title_canon_sha256":"848e8a057ab4e48121a80f2c5e16ddd9b05eb678099e9e6a7a35a64a9d2013dc","abstract_canon_sha256":"a6ab2021ddb570a9939b889715ac7a8ef15097a9ab1d335503694bc417820f68"},"schema_version":"1.0"},"canonical_sha256":"92d8858c0d6ba9888a2fbf9858d7ed025a82ea4c20cb9b3a04c6a3c2f775bc6a","source":{"kind":"arxiv","id":"0704.0531","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0704.0531","created_at":"2026-07-04T15:28:22Z"},{"alias_kind":"arxiv_version","alias_value":"0704.0531v3","created_at":"2026-07-04T15:28:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.0531","created_at":"2026-07-04T15:28:22Z"},{"alias_kind":"pith_short_12","alias_value":"SLMILDANNOUY","created_at":"2026-07-04T15:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"SLMILDANNOUYRCRP","created_at":"2026-07-04T15:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"SLMILDAN","created_at":"2026-07-04T15:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:SLMILDANNOUYRCRPX6MFRV7NAJ","target":"record","payload":{"canonical_record":{"source":{"id":"0704.0531","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-04-04T09:34:35Z","cross_cats_sorted":[],"title_canon_sha256":"848e8a057ab4e48121a80f2c5e16ddd9b05eb678099e9e6a7a35a64a9d2013dc","abstract_canon_sha256":"a6ab2021ddb570a9939b889715ac7a8ef15097a9ab1d335503694bc417820f68"},"schema_version":"1.0"},"canonical_sha256":"92d8858c0d6ba9888a2fbf9858d7ed025a82ea4c20cb9b3a04c6a3c2f775bc6a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:28:22.706907Z","signature_b64":"dcTTQuXpNCNnNrl7N964vItNrAfgw0sPFpknAUUWto0uf0sFlOsVy8KgMwD5G1xhmWXNebWFtic46u/1BHn2AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92d8858c0d6ba9888a2fbf9858d7ed025a82ea4c20cb9b3a04c6a3c2f775bc6a","last_reissued_at":"2026-07-04T15:28:22.706518Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:28:22.706518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0704.0531","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:28:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/6F/XEE5ufABA0wIBrI7Mblx7f1zDK9+q/taT2bFR/d+sCvkscjf6p9GnUPgDyzHen0nvM5SzseZxi9PtSUMBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T11:44:54.742383Z"},"content_sha256":"ef36a77d80aedc1bd7d173a44de38c0cc0d11ceeff0e41e7620f73c0763fca24","schema_version":"1.0","event_id":"sha256:ef36a77d80aedc1bd7d173a44de38c0cc0d11ceeff0e41e7620f73c0763fca24"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:SLMILDANNOUYRCRPX6MFRV7NAJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravitational Duality Transformations on (A)dS4","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Anastasios C. Petkou, Robert G. Leigh","submitted_at":"2007-04-04T09:34:35Z","abstract_excerpt":"We discuss the implementation of electric-magnetic duality transformations in four-dimensional gravity linearized around Minkowski or (A)dS4 backgrounds. In the presence of a cosmological constant duality generically modifies the Hamiltonian, nevertheless the bulk dynamics is unchanged. We pay particular attention to the boundary terms generated by the duality transformations and discuss their implications for holography."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.0531","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0704.0531/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:28:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"erZGyO9UakgT1hf1CO2M7u1PdMJ3JN4uf61oSSRp0CfSL5AYq/MNA2ENjOiW1MaOR5r7k2hm9sHL+pW/AdIHDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T11:44:54.742756Z"},"content_sha256":"1eb61e0b1c14dc6d9da9d630c5ac4c0c33e8804fd9e4ce8d44d2a47637e5cbdf","schema_version":"1.0","event_id":"sha256:1eb61e0b1c14dc6d9da9d630c5ac4c0c33e8804fd9e4ce8d44d2a47637e5cbdf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SLMILDANNOUYRCRPX6MFRV7NAJ/bundle.json","state_url":"https://pith.science/pith/SLMILDANNOUYRCRPX6MFRV7NAJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SLMILDANNOUYRCRPX6MFRV7NAJ/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":"2026-07-05T11:44:54Z","links":{"resolver":"https://pith.science/pith/SLMILDANNOUYRCRPX6MFRV7NAJ","bundle":"https://pith.science/pith/SLMILDANNOUYRCRPX6MFRV7NAJ/bundle.json","state":"https://pith.science/pith/SLMILDANNOUYRCRPX6MFRV7NAJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SLMILDANNOUYRCRPX6MFRV7NAJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:SLMILDANNOUYRCRPX6MFRV7NAJ","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":"a6ab2021ddb570a9939b889715ac7a8ef15097a9ab1d335503694bc417820f68","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-04-04T09:34:35Z","title_canon_sha256":"848e8a057ab4e48121a80f2c5e16ddd9b05eb678099e9e6a7a35a64a9d2013dc"},"schema_version":"1.0","source":{"id":"0704.0531","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0704.0531","created_at":"2026-07-04T15:28:22Z"},{"alias_kind":"arxiv_version","alias_value":"0704.0531v3","created_at":"2026-07-04T15:28:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.0531","created_at":"2026-07-04T15:28:22Z"},{"alias_kind":"pith_short_12","alias_value":"SLMILDANNOUY","created_at":"2026-07-04T15:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"SLMILDANNOUYRCRP","created_at":"2026-07-04T15:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"SLMILDAN","created_at":"2026-07-04T15:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:1eb61e0b1c14dc6d9da9d630c5ac4c0c33e8804fd9e4ce8d44d2a47637e5cbdf","target":"graph","created_at":"2026-07-04T15:28:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0704.0531/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss the implementation of electric-magnetic duality transformations in four-dimensional gravity linearized around Minkowski or (A)dS4 backgrounds. In the presence of a cosmological constant duality generically modifies the Hamiltonian, nevertheless the bulk dynamics is unchanged. We pay particular attention to the boundary terms generated by the duality transformations and discuss their implications for holography.","authors_text":"Anastasios C. Petkou, Robert G. Leigh","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-04-04T09:34:35Z","title":"Gravitational Duality Transformations on (A)dS4"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.0531","kind":"arxiv","version":3},"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:ef36a77d80aedc1bd7d173a44de38c0cc0d11ceeff0e41e7620f73c0763fca24","target":"record","created_at":"2026-07-04T15:28:22Z","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":"a6ab2021ddb570a9939b889715ac7a8ef15097a9ab1d335503694bc417820f68","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-04-04T09:34:35Z","title_canon_sha256":"848e8a057ab4e48121a80f2c5e16ddd9b05eb678099e9e6a7a35a64a9d2013dc"},"schema_version":"1.0","source":{"id":"0704.0531","kind":"arxiv","version":3}},"canonical_sha256":"92d8858c0d6ba9888a2fbf9858d7ed025a82ea4c20cb9b3a04c6a3c2f775bc6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92d8858c0d6ba9888a2fbf9858d7ed025a82ea4c20cb9b3a04c6a3c2f775bc6a","first_computed_at":"2026-07-04T15:28:22.706518Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:28:22.706518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dcTTQuXpNCNnNrl7N964vItNrAfgw0sPFpknAUUWto0uf0sFlOsVy8KgMwD5G1xhmWXNebWFtic46u/1BHn2AA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:28:22.706907Z","signed_message":"canonical_sha256_bytes"},"source_id":"0704.0531","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef36a77d80aedc1bd7d173a44de38c0cc0d11ceeff0e41e7620f73c0763fca24","sha256:1eb61e0b1c14dc6d9da9d630c5ac4c0c33e8804fd9e4ce8d44d2a47637e5cbdf"],"state_sha256":"4119ce339191d663071978422cd7dee4982d8c353ac2d7c9d7dec25e6e3df85c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rAJu00Z/p8HBoE5nOkbgFvVaEyk/c/GsUifSsy7XyvAKAKwWKR6mGbTscbU9QtyIxddEhWe/ehYwlyZvZjg+Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T11:44:54.744611Z","bundle_sha256":"ee2a43cca60a88439ff45f2c1549403e6596bfe1f4332798f0b2221c3b1a2e15"}}