{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:DQZSD23ANIOESNKG5RMU7WTQ6I","short_pith_number":"pith:DQZSD23A","canonical_record":{"source":{"id":"2607.26374","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-29T01:21:05Z","cross_cats_sorted":[],"title_canon_sha256":"c97517edefd78fc3d763c32fe268f65eb0c118ffcaf42b5a867feb176117e5c5","abstract_canon_sha256":"ff89e3e19772c00fa80f61b3e66e452919b5f6507600e0e9a7e5856288ec315e"},"schema_version":"1.0"},"canonical_sha256":"1c3321eb606a1c493546ec594fda70f22ebeaf513fd8cdf339918de0652f3e4e","source":{"kind":"arxiv","id":"2607.26374","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.26374","created_at":"2026-07-30T01:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"2607.26374v1","created_at":"2026-07-30T01:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.26374","created_at":"2026-07-30T01:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"DQZSD23ANIOE","created_at":"2026-07-30T01:18:14Z"},{"alias_kind":"pith_short_16","alias_value":"DQZSD23ANIOESNKG","created_at":"2026-07-30T01:18:14Z"},{"alias_kind":"pith_short_8","alias_value":"DQZSD23A","created_at":"2026-07-30T01:18:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:DQZSD23ANIOESNKG5RMU7WTQ6I","target":"record","payload":{"canonical_record":{"source":{"id":"2607.26374","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-29T01:21:05Z","cross_cats_sorted":[],"title_canon_sha256":"c97517edefd78fc3d763c32fe268f65eb0c118ffcaf42b5a867feb176117e5c5","abstract_canon_sha256":"ff89e3e19772c00fa80f61b3e66e452919b5f6507600e0e9a7e5856288ec315e"},"schema_version":"1.0"},"canonical_sha256":"1c3321eb606a1c493546ec594fda70f22ebeaf513fd8cdf339918de0652f3e4e","receipt":{"kind":"pith_receipt","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c3321eb606a1c493546ec594fda70f22ebeaf513fd8cdf339918de0652f3e4e","last_reissued_at":"2026-07-30T01:18:14.140810Z","signature_status":"unsigned_v0","first_computed_at":"2026-07-30T01:18:14.140810Z"},"source_kind":"arxiv","source_id":"2607.26374","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":"2026-07-30T01:18:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"frqAh4KrWgUJp9P1ebtqUGngUCL0qwuKI2gXd28BgKZygnQ7kiutblAbG1aIgDv/lXohaYjo5nXrdIolbcIrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T11:21:29.316977Z"},"content_sha256":"f053a7df284cb64cbe2c6b50df6051db11fe2b58ce1789bc552859d6fa3664aa","schema_version":"1.0","event_id":"sha256:f053a7df284cb64cbe2c6b50df6051db11fe2b58ce1789bc552859d6fa3664aa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:DQZSD23ANIOESNKG5RMU7WTQ6I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Charged Dirac stars","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Maribel Hern\\'andez M\\'arquez, Miguel Alcubierre","submitted_at":"2026-07-29T01:21:05Z","abstract_excerpt":"In this work we solve the coupled Einstein-Dirac-Maxwell (EDM) system for static spherically symmetric configurations of two fermions in a singlet spinor state within the $3+1$ formalism of general relativity. We find different families of stationary self-gravitating solutions for the Dirac field through a numerical shooting method for different values of the electric charge parameter q. Furthermore, we investigate the effect of the charge q on the binding energy, mass, radius, and compactness of the solutions. We show that gravitationally bound configurations exist only for $q<m$, with m the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.26374","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.26374/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":"2026-07-30T01:18:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s/H+IcGTwWTNYHLZiE/oGcorlfXAYIscjxp0GUXZd7SAE/ZgYgtdh4PxUE9YAb0Z7EZm99Xvlg2Q9RRNBIvIAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T11:21:29.317867Z"},"content_sha256":"6f3479ca1521e3f07f2aabda8bd2dc2f4e677f0dbe03d9287273ee451ca15547","schema_version":"1.0","event_id":"sha256:6f3479ca1521e3f07f2aabda8bd2dc2f4e677f0dbe03d9287273ee451ca15547"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DQZSD23ANIOESNKG5RMU7WTQ6I/bundle.json","state_url":"https://pith.science/pith/DQZSD23ANIOESNKG5RMU7WTQ6I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DQZSD23ANIOESNKG5RMU7WTQ6I/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":"2026-08-05T11:21:29Z","links":{"resolver":"https://pith.science/pith/DQZSD23ANIOESNKG5RMU7WTQ6I","bundle":"https://pith.science/pith/DQZSD23ANIOESNKG5RMU7WTQ6I/bundle.json","state":"https://pith.science/pith/DQZSD23ANIOESNKG5RMU7WTQ6I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DQZSD23ANIOESNKG5RMU7WTQ6I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:DQZSD23ANIOESNKG5RMU7WTQ6I","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":"ff89e3e19772c00fa80f61b3e66e452919b5f6507600e0e9a7e5856288ec315e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-29T01:21:05Z","title_canon_sha256":"c97517edefd78fc3d763c32fe268f65eb0c118ffcaf42b5a867feb176117e5c5"},"schema_version":"1.0","source":{"id":"2607.26374","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.26374","created_at":"2026-07-30T01:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"2607.26374v1","created_at":"2026-07-30T01:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.26374","created_at":"2026-07-30T01:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"DQZSD23ANIOE","created_at":"2026-07-30T01:18:14Z"},{"alias_kind":"pith_short_16","alias_value":"DQZSD23ANIOESNKG","created_at":"2026-07-30T01:18:14Z"},{"alias_kind":"pith_short_8","alias_value":"DQZSD23A","created_at":"2026-07-30T01:18:14Z"}],"graph_snapshots":[{"event_id":"sha256:6f3479ca1521e3f07f2aabda8bd2dc2f4e677f0dbe03d9287273ee451ca15547","target":"graph","created_at":"2026-07-30T01:18:14Z","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/2607.26374/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we solve the coupled Einstein-Dirac-Maxwell (EDM) system for static spherically symmetric configurations of two fermions in a singlet spinor state within the $3+1$ formalism of general relativity. We find different families of stationary self-gravitating solutions for the Dirac field through a numerical shooting method for different values of the electric charge parameter q. Furthermore, we investigate the effect of the charge q on the binding energy, mass, radius, and compactness of the solutions. We show that gravitationally bound configurations exist only for $q<m$, with m the ","authors_text":"Maribel Hern\\'andez M\\'arquez, Miguel Alcubierre","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-29T01:21:05Z","title":"Charged Dirac stars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.26374","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:f053a7df284cb64cbe2c6b50df6051db11fe2b58ce1789bc552859d6fa3664aa","target":"record","created_at":"2026-07-30T01:18:14Z","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":"ff89e3e19772c00fa80f61b3e66e452919b5f6507600e0e9a7e5856288ec315e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-29T01:21:05Z","title_canon_sha256":"c97517edefd78fc3d763c32fe268f65eb0c118ffcaf42b5a867feb176117e5c5"},"schema_version":"1.0","source":{"id":"2607.26374","kind":"arxiv","version":1}},"canonical_sha256":"1c3321eb606a1c493546ec594fda70f22ebeaf513fd8cdf339918de0652f3e4e","receipt":{"builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c3321eb606a1c493546ec594fda70f22ebeaf513fd8cdf339918de0652f3e4e","first_computed_at":"2026-07-30T01:18:14.140810Z","kind":"pith_receipt","last_reissued_at":"2026-07-30T01:18:14.140810Z","receipt_version":"0.3","signature_status":"unsigned_v0"},"source_id":"2607.26374","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f053a7df284cb64cbe2c6b50df6051db11fe2b58ce1789bc552859d6fa3664aa","sha256:6f3479ca1521e3f07f2aabda8bd2dc2f4e677f0dbe03d9287273ee451ca15547"],"state_sha256":"b703bf6002ddc7d6eec0ac67494115ceca82cf93f4447a05ec5ab7bbf02de381"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"glE8Nr3a/yZbdjzyy/GddIkjK7rJhNgYupZd3naECfwjHr6blHbULJvFqSfoC45T2Qfd8GN+v4jZn8B9oatDBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T11:21:29.321904Z","bundle_sha256":"f6eb50ca3208dee4a53c0eb29ffae12cb3c0c60251d8d25139a14a5e4d6258aa"}}