{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:37VAZNX6KHDABHDTO54ZNLUL3M","short_pith_number":"pith:37VAZNX6","canonical_record":{"source":{"id":"1707.08975","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-27T18:01:10Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"924c6e3508a05414adb556b4dd715404f9410765f85f116941f4bbfb7e206d7f","abstract_canon_sha256":"f4f2287143a2182cb013e4ff916560f3f79b69039b58f26e616a81109f742dd7"},"schema_version":"1.0"},"canonical_sha256":"dfea0cb6fe51c6009c73777996ae8bdb3405d215c297fa2aa2fd585f35a8a0e5","source":{"kind":"arxiv","id":"1707.08975","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08975","created_at":"2026-05-18T00:05:39Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08975v3","created_at":"2026-05-18T00:05:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08975","created_at":"2026-05-18T00:05:39Z"},{"alias_kind":"pith_short_12","alias_value":"37VAZNX6KHDA","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"37VAZNX6KHDABHDT","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"37VAZNX6","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:37VAZNX6KHDABHDTO54ZNLUL3M","target":"record","payload":{"canonical_record":{"source":{"id":"1707.08975","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-27T18:01:10Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"924c6e3508a05414adb556b4dd715404f9410765f85f116941f4bbfb7e206d7f","abstract_canon_sha256":"f4f2287143a2182cb013e4ff916560f3f79b69039b58f26e616a81109f742dd7"},"schema_version":"1.0"},"canonical_sha256":"dfea0cb6fe51c6009c73777996ae8bdb3405d215c297fa2aa2fd585f35a8a0e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:39.690612Z","signature_b64":"w62CgFqt/3qG16ldR1jpgfdLm8F+CPvVZrjhhec0n6RmnVvFoZU1i4y8JdbKD/nOEMZnZLaJlO21qdjRsdstDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dfea0cb6fe51c6009c73777996ae8bdb3405d215c297fa2aa2fd585f35a8a0e5","last_reissued_at":"2026-05-18T00:05:39.690168Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:39.690168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.08975","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":"2026-05-18T00:05:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YkCgRRd9p08x8PaHy9yqjMRiduYXPN1bYWJ6ZSwKY1AdG1MO9Ao6uJ7GOKvn4jGYWv9xK8YrWtnVhwallNH0AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:32:14.014869Z"},"content_sha256":"3ad3f353658b5f73e66e5350836970c95cf18336ee92b89cc749131946b75ead","schema_version":"1.0","event_id":"sha256:3ad3f353658b5f73e66e5350836970c95cf18336ee92b89cc749131946b75ead"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:37VAZNX6KHDABHDTO54ZNLUL3M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the occurrence of mass inflation for the Einstein-Maxwell-scalar field system with a cosmological constant and an exponential Price law","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"gr-qc","authors_text":"Jo\\~ao L. Costa, Jorge Drumond Silva, Jos\\'e Nat\\'ario, Pedro M. Gir\\~ao","submitted_at":"2017-07-27T18:01:10Z","abstract_excerpt":"In this paper we study the spherically symmetric characteristic initial data problem for the Einstein-Maxwell-scalar field system with a positive cosmological constant in the interior of a black hole, assuming an exponential Price law along the event horizon. More precisely, we construct open sets of characteristic data which, on the outgoing initial null hypersurface (taken to be the event horizon), converges exponentially to a reference Reissner-N\\\"{o}rdstrom black hole at infinity.\n  We prove the stability of the radius function at the Cauchy horizon, and show that, depending on the decay r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08975","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":""},"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":"2026-05-18T00:05:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ztILW7Bxw+3iKK233Wi91vm/XCSUB0dZ4E3gRajeibn1MI15j6hYVfBk1EjdYnc87jy1Il0PLlnvdwn/1eZaCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:32:14.015293Z"},"content_sha256":"64b9016c5a37b2dfc74ebfbd4fc73d620483a51b30457a4c99c6dd8fba3f116f","schema_version":"1.0","event_id":"sha256:64b9016c5a37b2dfc74ebfbd4fc73d620483a51b30457a4c99c6dd8fba3f116f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/37VAZNX6KHDABHDTO54ZNLUL3M/bundle.json","state_url":"https://pith.science/pith/37VAZNX6KHDABHDTO54ZNLUL3M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/37VAZNX6KHDABHDTO54ZNLUL3M/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":"2026-06-04T19:32:14Z","links":{"resolver":"https://pith.science/pith/37VAZNX6KHDABHDTO54ZNLUL3M","bundle":"https://pith.science/pith/37VAZNX6KHDABHDTO54ZNLUL3M/bundle.json","state":"https://pith.science/pith/37VAZNX6KHDABHDTO54ZNLUL3M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/37VAZNX6KHDABHDTO54ZNLUL3M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:37VAZNX6KHDABHDTO54ZNLUL3M","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":"f4f2287143a2182cb013e4ff916560f3f79b69039b58f26e616a81109f742dd7","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-27T18:01:10Z","title_canon_sha256":"924c6e3508a05414adb556b4dd715404f9410765f85f116941f4bbfb7e206d7f"},"schema_version":"1.0","source":{"id":"1707.08975","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08975","created_at":"2026-05-18T00:05:39Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08975v3","created_at":"2026-05-18T00:05:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08975","created_at":"2026-05-18T00:05:39Z"},{"alias_kind":"pith_short_12","alias_value":"37VAZNX6KHDA","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"37VAZNX6KHDABHDT","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"37VAZNX6","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:64b9016c5a37b2dfc74ebfbd4fc73d620483a51b30457a4c99c6dd8fba3f116f","target":"graph","created_at":"2026-05-18T00:05:39Z","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":"In this paper we study the spherically symmetric characteristic initial data problem for the Einstein-Maxwell-scalar field system with a positive cosmological constant in the interior of a black hole, assuming an exponential Price law along the event horizon. More precisely, we construct open sets of characteristic data which, on the outgoing initial null hypersurface (taken to be the event horizon), converges exponentially to a reference Reissner-N\\\"{o}rdstrom black hole at infinity.\n  We prove the stability of the radius function at the Cauchy horizon, and show that, depending on the decay r","authors_text":"Jo\\~ao L. Costa, Jorge Drumond Silva, Jos\\'e Nat\\'ario, Pedro M. Gir\\~ao","cross_cats":["math-ph","math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-27T18:01:10Z","title":"On the occurrence of mass inflation for the Einstein-Maxwell-scalar field system with a cosmological constant and an exponential Price law"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08975","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":"sha256:3ad3f353658b5f73e66e5350836970c95cf18336ee92b89cc749131946b75ead","target":"record","created_at":"2026-05-18T00:05:39Z","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":"f4f2287143a2182cb013e4ff916560f3f79b69039b58f26e616a81109f742dd7","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-27T18:01:10Z","title_canon_sha256":"924c6e3508a05414adb556b4dd715404f9410765f85f116941f4bbfb7e206d7f"},"schema_version":"1.0","source":{"id":"1707.08975","kind":"arxiv","version":3}},"canonical_sha256":"dfea0cb6fe51c6009c73777996ae8bdb3405d215c297fa2aa2fd585f35a8a0e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dfea0cb6fe51c6009c73777996ae8bdb3405d215c297fa2aa2fd585f35a8a0e5","first_computed_at":"2026-05-18T00:05:39.690168Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:39.690168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w62CgFqt/3qG16ldR1jpgfdLm8F+CPvVZrjhhec0n6RmnVvFoZU1i4y8JdbKD/nOEMZnZLaJlO21qdjRsdstDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:39.690612Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.08975","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ad3f353658b5f73e66e5350836970c95cf18336ee92b89cc749131946b75ead","sha256:64b9016c5a37b2dfc74ebfbd4fc73d620483a51b30457a4c99c6dd8fba3f116f"],"state_sha256":"246d56301141e32a3d76719dafd9d11b5c37b5475e70eb22d5b13d90e174c428"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XYkTH59GEQtJrY3/kVcAR6rm0vWYqs4VbhweQLI1G1Wzzpn02Uwfht708H2lTuGP8QozmWPVodFDjiLvR2Q8BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T19:32:14.017532Z","bundle_sha256":"093caa29ba51be15672cfcdf4f99f618f5767f35899452f0bd509db0f42d2e50"}}