{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:AK2FI7JTEUC4B2ALSBCE27UTEB","short_pith_number":"pith:AK2FI7JT","canonical_record":{"source":{"id":"1205.3945","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-05-17T14:52:25Z","cross_cats_sorted":[],"title_canon_sha256":"3810bf314dce15b10b43f9d94106921b31d4d4a7ad68ae6fdbd27260ea0f8b6c","abstract_canon_sha256":"5f374255f1ef73b5944ab752930d55f8b6694bf75ec6f157a57612d74efc065c"},"schema_version":"1.0"},"canonical_sha256":"02b4547d332505c0e80b90444d7e932056c4dd7652ec3de1e80d1d43c02f92b4","source":{"kind":"arxiv","id":"1205.3945","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3945","created_at":"2026-05-18T03:44:47Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3945v2","created_at":"2026-05-18T03:44:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3945","created_at":"2026-05-18T03:44:47Z"},{"alias_kind":"pith_short_12","alias_value":"AK2FI7JTEUC4","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AK2FI7JTEUC4B2AL","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AK2FI7JT","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:AK2FI7JTEUC4B2ALSBCE27UTEB","target":"record","payload":{"canonical_record":{"source":{"id":"1205.3945","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-05-17T14:52:25Z","cross_cats_sorted":[],"title_canon_sha256":"3810bf314dce15b10b43f9d94106921b31d4d4a7ad68ae6fdbd27260ea0f8b6c","abstract_canon_sha256":"5f374255f1ef73b5944ab752930d55f8b6694bf75ec6f157a57612d74efc065c"},"schema_version":"1.0"},"canonical_sha256":"02b4547d332505c0e80b90444d7e932056c4dd7652ec3de1e80d1d43c02f92b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:47.052933Z","signature_b64":"+VEM7v50cEj2H2ZPa5NUN0VeawWloSBble9FG9bPMbeUJaAt6pLGfU2l/tFQUFNlVTUT2pngjwxuAk+haSw4DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02b4547d332505c0e80b90444d7e932056c4dd7652ec3de1e80d1d43c02f92b4","last_reissued_at":"2026-05-18T03:44:47.052184Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:47.052184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.3945","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:44:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WYVUAmdilknJh8vs/rHVdWzrMj3kaNSasHTDhM9OKlMnor/VBhFlgH4v6wDrMvUne5cmUOBNO7yJeobm2KKGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:37:36.931531Z"},"content_sha256":"1e0a4dda580644c596011a3061504f93bd9ce1278fbc20923599e24c58fe1874","schema_version":"1.0","event_id":"sha256:1e0a4dda580644c596011a3061504f93bd9ce1278fbc20923599e24c58fe1874"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:AK2FI7JTEUC4B2ALSBCE27UTEB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical apparent horizons in inhomogeneous Brans-Dicke universes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Stefano Liberati, Thomas P. Sotiriou, Valerio Faraoni, Vincenzo Vitagliano","submitted_at":"2012-05-17T14:52:25Z","abstract_excerpt":"The presence and evolution of apparent horizons in a two-parameter family of spherically symmetric, time-dependent solutions of Brans-Dicke gravity are analyzed. These solutions were introduced to model space- and time-varying gravitational couplings and are supposed to represent central objects embedded in a spatially flat universe. We find that the solutions possess multiple evolving apparent horizons, both black hole horizons covering a central singularity and cosmological ones. It is not uncommon for two of these horizons to merge, leaving behind a naked singularity covered only by a cosmo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3945","kind":"arxiv","version":2},"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":"2026-05-18T03:44:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sGb1/gmpwgqOx4IGNzpB7b9zoUQgKW6rqSBfKxcc1M1px1P+4snnC4H9djfFXqzzgXwefgsrJJyP8a4lJG1dAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:37:36.931871Z"},"content_sha256":"5a8dd02c92b914303ace93bb27b3ada3ab6e1e9a83fc8aeaf114b5d58b443378","schema_version":"1.0","event_id":"sha256:5a8dd02c92b914303ace93bb27b3ada3ab6e1e9a83fc8aeaf114b5d58b443378"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AK2FI7JTEUC4B2ALSBCE27UTEB/bundle.json","state_url":"https://pith.science/pith/AK2FI7JTEUC4B2ALSBCE27UTEB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AK2FI7JTEUC4B2ALSBCE27UTEB/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":"2026-06-03T22:37:36Z","links":{"resolver":"https://pith.science/pith/AK2FI7JTEUC4B2ALSBCE27UTEB","bundle":"https://pith.science/pith/AK2FI7JTEUC4B2ALSBCE27UTEB/bundle.json","state":"https://pith.science/pith/AK2FI7JTEUC4B2ALSBCE27UTEB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AK2FI7JTEUC4B2ALSBCE27UTEB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:AK2FI7JTEUC4B2ALSBCE27UTEB","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":"5f374255f1ef73b5944ab752930d55f8b6694bf75ec6f157a57612d74efc065c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-05-17T14:52:25Z","title_canon_sha256":"3810bf314dce15b10b43f9d94106921b31d4d4a7ad68ae6fdbd27260ea0f8b6c"},"schema_version":"1.0","source":{"id":"1205.3945","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3945","created_at":"2026-05-18T03:44:47Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3945v2","created_at":"2026-05-18T03:44:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3945","created_at":"2026-05-18T03:44:47Z"},{"alias_kind":"pith_short_12","alias_value":"AK2FI7JTEUC4","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AK2FI7JTEUC4B2AL","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AK2FI7JT","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:5a8dd02c92b914303ace93bb27b3ada3ab6e1e9a83fc8aeaf114b5d58b443378","target":"graph","created_at":"2026-05-18T03:44:47Z","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 presence and evolution of apparent horizons in a two-parameter family of spherically symmetric, time-dependent solutions of Brans-Dicke gravity are analyzed. These solutions were introduced to model space- and time-varying gravitational couplings and are supposed to represent central objects embedded in a spatially flat universe. We find that the solutions possess multiple evolving apparent horizons, both black hole horizons covering a central singularity and cosmological ones. It is not uncommon for two of these horizons to merge, leaving behind a naked singularity covered only by a cosmo","authors_text":"Stefano Liberati, Thomas P. Sotiriou, Valerio Faraoni, Vincenzo Vitagliano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-05-17T14:52:25Z","title":"Dynamical apparent horizons in inhomogeneous Brans-Dicke universes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3945","kind":"arxiv","version":2},"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":"sha256:1e0a4dda580644c596011a3061504f93bd9ce1278fbc20923599e24c58fe1874","target":"record","created_at":"2026-05-18T03:44:47Z","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":"5f374255f1ef73b5944ab752930d55f8b6694bf75ec6f157a57612d74efc065c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-05-17T14:52:25Z","title_canon_sha256":"3810bf314dce15b10b43f9d94106921b31d4d4a7ad68ae6fdbd27260ea0f8b6c"},"schema_version":"1.0","source":{"id":"1205.3945","kind":"arxiv","version":2}},"canonical_sha256":"02b4547d332505c0e80b90444d7e932056c4dd7652ec3de1e80d1d43c02f92b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02b4547d332505c0e80b90444d7e932056c4dd7652ec3de1e80d1d43c02f92b4","first_computed_at":"2026-05-18T03:44:47.052184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:47.052184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+VEM7v50cEj2H2ZPa5NUN0VeawWloSBble9FG9bPMbeUJaAt6pLGfU2l/tFQUFNlVTUT2pngjwxuAk+haSw4DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:47.052933Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.3945","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e0a4dda580644c596011a3061504f93bd9ce1278fbc20923599e24c58fe1874","sha256:5a8dd02c92b914303ace93bb27b3ada3ab6e1e9a83fc8aeaf114b5d58b443378"],"state_sha256":"f8eec0fbe521f2a44501e6002f338e8e012aa2936fcd3e075dc1b5368e8a42ee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZXVGH2YkupM2dyePElgnE9yulr/Hk6wdRfeV3jTIRuZvBMvLdXzZ0QK8fnza3uy/+m8Bfbkuh6+xHR/9UcX+AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T22:37:36.933828Z","bundle_sha256":"9d76b0802fe40f6c72439977e584de68fbb86bf3c6c3166c2b9eded5634c40d1"}}