{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:PDLE64STM3O4FE745LFB2X3KSU","short_pith_number":"pith:PDLE64ST","canonical_record":{"source":{"id":"1407.1530","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-07-06T19:01:20Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"671b55ddd02c1671c8a9f4ed790f1308036cefd8f3fd41789e9342bf26ae12b5","abstract_canon_sha256":"ce5c7fa313b1ea042440f97bf9d0d154f50f0ffaf7e87b087556ca4e03e52e1c"},"schema_version":"1.0"},"canonical_sha256":"78d64f725366ddc293fceaca1d5f6a9524c76c7d7b1e87bec239a277b0195e6f","source":{"kind":"arxiv","id":"1407.1530","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.1530","created_at":"2026-05-18T01:42:41Z"},{"alias_kind":"arxiv_version","alias_value":"1407.1530v2","created_at":"2026-05-18T01:42:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1530","created_at":"2026-05-18T01:42:41Z"},{"alias_kind":"pith_short_12","alias_value":"PDLE64STM3O4","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PDLE64STM3O4FE74","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PDLE64ST","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:PDLE64STM3O4FE745LFB2X3KSU","target":"record","payload":{"canonical_record":{"source":{"id":"1407.1530","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-07-06T19:01:20Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"671b55ddd02c1671c8a9f4ed790f1308036cefd8f3fd41789e9342bf26ae12b5","abstract_canon_sha256":"ce5c7fa313b1ea042440f97bf9d0d154f50f0ffaf7e87b087556ca4e03e52e1c"},"schema_version":"1.0"},"canonical_sha256":"78d64f725366ddc293fceaca1d5f6a9524c76c7d7b1e87bec239a277b0195e6f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:41.598543Z","signature_b64":"poDpYqZC41MKvOP/ZhrB9tHVoSIqTfGgNxvvJuCoO91Bq7F2cpJuzbyRacVVkHX/TQfVLka9iCNFwl8EMQBxAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78d64f725366ddc293fceaca1d5f6a9524c76c7d7b1e87bec239a277b0195e6f","last_reissued_at":"2026-05-18T01:42:41.597956Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:41.597956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.1530","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":"2026-05-18T01:42:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"isIP3HMBY10wZw+VVbwXXwuoFTV/PFSixB62c52zJvfEKKN8Pn08ae2+iguQZF5jcj0n7Td9w5TUKzP2n8dhCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:07:35.313245Z"},"content_sha256":"b159c6848b7172d3fbb001824b0854ea0366c7d87d14830ba213f4ef6110f5eb","schema_version":"1.0","event_id":"sha256:b159c6848b7172d3fbb001824b0854ea0366c7d87d14830ba213f4ef6110f5eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:PDLE64STM3O4FE745LFB2X3KSU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characterizing repulsive gravity with curvature eigenvalues","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Hernando Quevedo, Orlando Luongo","submitted_at":"2014-07-06T19:01:20Z","abstract_excerpt":"Repulsive gravity has been investigated in several scenarios near compact objects by using different intuitive approaches. Here, we propose an invariant method to characterize regions of repulsive gravity, associated to black holes and naked singularities. Our method is based upon the behavior of the curvature tensor eigenvalues, and leads to an invariant definition of a \\emph{repulsion radius}. The repulsion radius determines a physical region, which can be interpreted as a repulsion sphere, where the effects due to repulsive gravity naturally arise. Further, we show that the use of effective"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1530","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":"2026-05-18T01:42:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o4fGKvjHBICHZ3LCDvPYDZGWCvt9A0nzmJbORIvxfgblY7P4jdxaJQqfklA/DultNy/4UtAO3OseHEEIRisPDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:07:35.313998Z"},"content_sha256":"0aa3a9baa793d44708cb9c6d4d4386a96e12d9f3a709269dbe8835e6e9920dd6","schema_version":"1.0","event_id":"sha256:0aa3a9baa793d44708cb9c6d4d4386a96e12d9f3a709269dbe8835e6e9920dd6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PDLE64STM3O4FE745LFB2X3KSU/bundle.json","state_url":"https://pith.science/pith/PDLE64STM3O4FE745LFB2X3KSU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PDLE64STM3O4FE745LFB2X3KSU/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":"2026-05-28T19:07:35Z","links":{"resolver":"https://pith.science/pith/PDLE64STM3O4FE745LFB2X3KSU","bundle":"https://pith.science/pith/PDLE64STM3O4FE745LFB2X3KSU/bundle.json","state":"https://pith.science/pith/PDLE64STM3O4FE745LFB2X3KSU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PDLE64STM3O4FE745LFB2X3KSU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:PDLE64STM3O4FE745LFB2X3KSU","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":"ce5c7fa313b1ea042440f97bf9d0d154f50f0ffaf7e87b087556ca4e03e52e1c","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-07-06T19:01:20Z","title_canon_sha256":"671b55ddd02c1671c8a9f4ed790f1308036cefd8f3fd41789e9342bf26ae12b5"},"schema_version":"1.0","source":{"id":"1407.1530","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.1530","created_at":"2026-05-18T01:42:41Z"},{"alias_kind":"arxiv_version","alias_value":"1407.1530v2","created_at":"2026-05-18T01:42:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1530","created_at":"2026-05-18T01:42:41Z"},{"alias_kind":"pith_short_12","alias_value":"PDLE64STM3O4","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PDLE64STM3O4FE74","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PDLE64ST","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:0aa3a9baa793d44708cb9c6d4d4386a96e12d9f3a709269dbe8835e6e9920dd6","target":"graph","created_at":"2026-05-18T01:42:41Z","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":"Repulsive gravity has been investigated in several scenarios near compact objects by using different intuitive approaches. Here, we propose an invariant method to characterize regions of repulsive gravity, associated to black holes and naked singularities. Our method is based upon the behavior of the curvature tensor eigenvalues, and leads to an invariant definition of a \\emph{repulsion radius}. The repulsion radius determines a physical region, which can be interpreted as a repulsion sphere, where the effects due to repulsive gravity naturally arise. Further, we show that the use of effective","authors_text":"Hernando Quevedo, Orlando Luongo","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-07-06T19:01:20Z","title":"Characterizing repulsive gravity with curvature eigenvalues"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1530","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:b159c6848b7172d3fbb001824b0854ea0366c7d87d14830ba213f4ef6110f5eb","target":"record","created_at":"2026-05-18T01:42:41Z","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":"ce5c7fa313b1ea042440f97bf9d0d154f50f0ffaf7e87b087556ca4e03e52e1c","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-07-06T19:01:20Z","title_canon_sha256":"671b55ddd02c1671c8a9f4ed790f1308036cefd8f3fd41789e9342bf26ae12b5"},"schema_version":"1.0","source":{"id":"1407.1530","kind":"arxiv","version":2}},"canonical_sha256":"78d64f725366ddc293fceaca1d5f6a9524c76c7d7b1e87bec239a277b0195e6f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78d64f725366ddc293fceaca1d5f6a9524c76c7d7b1e87bec239a277b0195e6f","first_computed_at":"2026-05-18T01:42:41.597956Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:41.597956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"poDpYqZC41MKvOP/ZhrB9tHVoSIqTfGgNxvvJuCoO91Bq7F2cpJuzbyRacVVkHX/TQfVLka9iCNFwl8EMQBxAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:41.598543Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.1530","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b159c6848b7172d3fbb001824b0854ea0366c7d87d14830ba213f4ef6110f5eb","sha256:0aa3a9baa793d44708cb9c6d4d4386a96e12d9f3a709269dbe8835e6e9920dd6"],"state_sha256":"096f9405ed1dd3811a7a8de2f828358d3c3aad54234a5dc2e3d97ddfcd266e9f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0FXmW3bLMYiAm1cjEdetQ5x/+uIdv0WaNnAvjinN3H0dX72rUYPbDL1ulustMTbL5avtH4jEYNuSz+USmvugAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T19:07:35.318857Z","bundle_sha256":"9b8fc048971c9816d4864aa1418e55247fb6d4e29acff32af017fb45fd54480e"}}