{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:53JHA7UCMIL6X3LUQST7E4SUD4","short_pith_number":"pith:53JHA7UC","canonical_record":{"source":{"id":"1505.05550","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-20T23:08:16Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"491adbd0b6ac99f937794b33fa0ed86471b9dabcd1e5f35d3d9b5dd83f7e82de","abstract_canon_sha256":"0e4b2a4924c0dc6fc84e365f89c7d9034c8aae6fcdb0bfa3c0a8e01dc21a5d6f"},"schema_version":"1.0"},"canonical_sha256":"eed2707e826217ebed7484a7f272541f0727caf066334979f05898dd05f499bb","source":{"kind":"arxiv","id":"1505.05550","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05550","created_at":"2026-05-18T02:03:54Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05550v1","created_at":"2026-05-18T02:03:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05550","created_at":"2026-05-18T02:03:54Z"},{"alias_kind":"pith_short_12","alias_value":"53JHA7UCMIL6","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"53JHA7UCMIL6X3LU","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"53JHA7UC","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:53JHA7UCMIL6X3LUQST7E4SUD4","target":"record","payload":{"canonical_record":{"source":{"id":"1505.05550","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-20T23:08:16Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"491adbd0b6ac99f937794b33fa0ed86471b9dabcd1e5f35d3d9b5dd83f7e82de","abstract_canon_sha256":"0e4b2a4924c0dc6fc84e365f89c7d9034c8aae6fcdb0bfa3c0a8e01dc21a5d6f"},"schema_version":"1.0"},"canonical_sha256":"eed2707e826217ebed7484a7f272541f0727caf066334979f05898dd05f499bb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:54.247133Z","signature_b64":"UmAP0H0tyq3eHMdWFlZXdvTtpV4DFMecbbEwLQY7AvqeLPigSJAMHIM2VtQ0CG08Jcwo/fe7oW2f8JlzWDbNAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eed2707e826217ebed7484a7f272541f0727caf066334979f05898dd05f499bb","last_reissued_at":"2026-05-18T02:03:54.246436Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:54.246436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.05550","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":"2026-05-18T02:03:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"291RXhan/V9CecCQAHFwlHslchsUOVX6DCeJ2qCPtMyxBd03zJ+g2v8GIvxrcAIgJDHIsrTKCo1JW4KZ1iM3Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T08:33:23.100212Z"},"content_sha256":"96ba7a147df85f85ede25a27ca7b7d493b24bef22502ac16695c1a828cd25a2c","schema_version":"1.0","event_id":"sha256:96ba7a147df85f85ede25a27ca7b7d493b24bef22502ac16695c1a828cd25a2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:53JHA7UCMIL6X3LUQST7E4SUD4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cracking in charged relativistic spheres","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"gr-qc","authors_text":"Anamar\\'ia Navarro, Guillermo A. Gonz\\'alez, Luis A. N\\'u\\~nez","submitted_at":"2015-05-20T23:08:16Z","abstract_excerpt":"Using the concept of cracking, we have explored the influence of density fluctuations on isotropic and anisotropic charged matter configurations in General Relativity with \"barotropic\" equations of state, $P = P(\\rho)$ and $P_{\\perp}= P_{\\perp}(\\rho)$ and a mass-charge relation $Q=Q(\\rho)$. We have refined the idea that density fluctuations affect physical variables and their gradients, i.e. the radial pressure and charge density gradients. It is found that not only anisotropic charged models could present cracking (or overturning), but also isotropic charged matter configurations could be aff"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05550","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":"2026-05-18T02:03:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0xFXnh9JI5KYxBFCzEQCSyMCGT0D/IIvneYPgq92fqi207O4JgY0GOEwUPfKYf2mLLHSQCrYje56fLgPBBcGAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T08:33:23.100774Z"},"content_sha256":"cbaa07282ea0129459ae26e07b439eb4aa0d0cf8e712851dab298b5aa29d5e57","schema_version":"1.0","event_id":"sha256:cbaa07282ea0129459ae26e07b439eb4aa0d0cf8e712851dab298b5aa29d5e57"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/53JHA7UCMIL6X3LUQST7E4SUD4/bundle.json","state_url":"https://pith.science/pith/53JHA7UCMIL6X3LUQST7E4SUD4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/53JHA7UCMIL6X3LUQST7E4SUD4/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":"2026-06-07T08:33:23Z","links":{"resolver":"https://pith.science/pith/53JHA7UCMIL6X3LUQST7E4SUD4","bundle":"https://pith.science/pith/53JHA7UCMIL6X3LUQST7E4SUD4/bundle.json","state":"https://pith.science/pith/53JHA7UCMIL6X3LUQST7E4SUD4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/53JHA7UCMIL6X3LUQST7E4SUD4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:53JHA7UCMIL6X3LUQST7E4SUD4","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":"0e4b2a4924c0dc6fc84e365f89c7d9034c8aae6fcdb0bfa3c0a8e01dc21a5d6f","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-20T23:08:16Z","title_canon_sha256":"491adbd0b6ac99f937794b33fa0ed86471b9dabcd1e5f35d3d9b5dd83f7e82de"},"schema_version":"1.0","source":{"id":"1505.05550","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05550","created_at":"2026-05-18T02:03:54Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05550v1","created_at":"2026-05-18T02:03:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05550","created_at":"2026-05-18T02:03:54Z"},{"alias_kind":"pith_short_12","alias_value":"53JHA7UCMIL6","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"53JHA7UCMIL6X3LU","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"53JHA7UC","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:cbaa07282ea0129459ae26e07b439eb4aa0d0cf8e712851dab298b5aa29d5e57","target":"graph","created_at":"2026-05-18T02:03:54Z","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":"Using the concept of cracking, we have explored the influence of density fluctuations on isotropic and anisotropic charged matter configurations in General Relativity with \"barotropic\" equations of state, $P = P(\\rho)$ and $P_{\\perp}= P_{\\perp}(\\rho)$ and a mass-charge relation $Q=Q(\\rho)$. We have refined the idea that density fluctuations affect physical variables and their gradients, i.e. the radial pressure and charge density gradients. It is found that not only anisotropic charged models could present cracking (or overturning), but also isotropic charged matter configurations could be aff","authors_text":"Anamar\\'ia Navarro, Guillermo A. Gonz\\'alez, Luis A. N\\'u\\~nez","cross_cats":["astro-ph.HE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-20T23:08:16Z","title":"Cracking in charged relativistic spheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05550","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":"sha256:96ba7a147df85f85ede25a27ca7b7d493b24bef22502ac16695c1a828cd25a2c","target":"record","created_at":"2026-05-18T02:03:54Z","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":"0e4b2a4924c0dc6fc84e365f89c7d9034c8aae6fcdb0bfa3c0a8e01dc21a5d6f","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-20T23:08:16Z","title_canon_sha256":"491adbd0b6ac99f937794b33fa0ed86471b9dabcd1e5f35d3d9b5dd83f7e82de"},"schema_version":"1.0","source":{"id":"1505.05550","kind":"arxiv","version":1}},"canonical_sha256":"eed2707e826217ebed7484a7f272541f0727caf066334979f05898dd05f499bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eed2707e826217ebed7484a7f272541f0727caf066334979f05898dd05f499bb","first_computed_at":"2026-05-18T02:03:54.246436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:54.246436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UmAP0H0tyq3eHMdWFlZXdvTtpV4DFMecbbEwLQY7AvqeLPigSJAMHIM2VtQ0CG08Jcwo/fe7oW2f8JlzWDbNAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:54.247133Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05550","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96ba7a147df85f85ede25a27ca7b7d493b24bef22502ac16695c1a828cd25a2c","sha256:cbaa07282ea0129459ae26e07b439eb4aa0d0cf8e712851dab298b5aa29d5e57"],"state_sha256":"dd9d69b14ad27f8244fd91077249d4c7038f772159ba3ae999711f7bcbd91bfa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BtAdAJ+1KlwFs3eww6qnErS773os4aivnij0w7IsdPvJ7w8AgUMIfnaD2ie0Z2UR7otba9j4aw3RZPsCQehqAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T08:33:23.103644Z","bundle_sha256":"1bf2ac964b8551a3193f26d39fd0bf3728083559f89685e1629df5629386b3c6"}}