{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ETGSIAFSPX6O2BD5SOLWL6OWQM","short_pith_number":"pith:ETGSIAFS","canonical_record":{"source":{"id":"2608.06639","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-06T23:15:13Z","cross_cats_sorted":["astro-ph.HE","hep-th","math-ph","math.MP"],"title_canon_sha256":"f288df1a46e0da821876ff4832e1324717b0230396acaa7d184768993c1ced66","abstract_canon_sha256":"2cc796773cc5aad65cf89237480ea7dc1f026614f6752c92b2712df54b1e86e7"},"schema_version":"1.0"},"canonical_sha256":"24cd2400b27dfced047d939765f9d6830fa3e9dea2f1da74ee6a555d1063776c","source":{"kind":"arxiv","id":"2608.06639","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.06639","created_at":"2026-08-10T01:11:33Z"},{"alias_kind":"arxiv_version","alias_value":"2608.06639v1","created_at":"2026-08-10T01:11:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.06639","created_at":"2026-08-10T01:11:33Z"},{"alias_kind":"pith_short_12","alias_value":"ETGSIAFSPX6O","created_at":"2026-08-10T01:11:33Z"},{"alias_kind":"pith_short_16","alias_value":"ETGSIAFSPX6O2BD5","created_at":"2026-08-10T01:11:33Z"},{"alias_kind":"pith_short_8","alias_value":"ETGSIAFS","created_at":"2026-08-10T01:11:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ETGSIAFSPX6O2BD5SOLWL6OWQM","target":"record","payload":{"canonical_record":{"source":{"id":"2608.06639","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-06T23:15:13Z","cross_cats_sorted":["astro-ph.HE","hep-th","math-ph","math.MP"],"title_canon_sha256":"f288df1a46e0da821876ff4832e1324717b0230396acaa7d184768993c1ced66","abstract_canon_sha256":"2cc796773cc5aad65cf89237480ea7dc1f026614f6752c92b2712df54b1e86e7"},"schema_version":"1.0"},"canonical_sha256":"24cd2400b27dfced047d939765f9d6830fa3e9dea2f1da74ee6a555d1063776c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-10T01:11:33.529021Z","signature_b64":"tdlb6cHygmzy/zCCgLSQ5xaZ3ygv6vda/gEEV5IkZoXPbNjoHiWowq/F+LS7qz2F3VgL1InYoqwGpceEbpuZAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24cd2400b27dfced047d939765f9d6830fa3e9dea2f1da74ee6a555d1063776c","last_reissued_at":"2026-08-10T01:11:33.526506Z","signature_status":"signed_v1","first_computed_at":"2026-08-10T01:11:33.526506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.06639","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":"2026-08-10T01:11:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hly7MSf69ZNZsnXsJ786oHYUA2XuGlP88ZIFqFE74UwjBi6WzhyckURlGCz8euyvxeOspj3y9aqPmmL66kOiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T19:19:57.350876Z"},"content_sha256":"38f755249772c9617c2ab0a117b1b01438f7bd92c9ef33c84609386a9a415c40","schema_version":"1.0","event_id":"sha256:38f755249772c9617c2ab0a117b1b01438f7bd92c9ef33c84609386a9a415c40"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ETGSIAFSPX6O2BD5SOLWL6OWQM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A causal magnetic black hole with finite self-energy","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.HE","hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Ariel Guzm\\'an, J. R. Villanueva, Mohsen Fathi","submitted_at":"2026-08-06T23:15:13Z","abstract_excerpt":"We construct a nonlinear electrodynamics (NLED) model for a static magnetic black hole. Rather than imposing a regular center, we require a Maxwell weak-field limit, finite magnetic self-energy, a positive and subluminal electromagnetic cone, the standard energy conditions, and a static exterior that satisfies known sufficient stability criteria. A positive mixture of power kernels restricts the exponent to $1/4<\\gamma\\leq1/2$. For the minimal two-kernel model, with $\\gamma_1=1/3$ and $\\gamma_2=1/2$, the field equations admit an exact solution in terms of incomplete beta functions. For the bra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.06639","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/2608.06639/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":"2026-08-10T01:11:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LBc/OWxC6KL4XO+6gqpVpZWgj+FMayg7vc4hlRnfW6QdDbAHGrekKRJMBv+fxq0XD2iaEdycrUYhlD3+EiEPDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T19:19:57.351815Z"},"content_sha256":"9abf2e10f69575128d952fe2a15f1133c4c6233b0cab7ad8368c0f13d45535dc","schema_version":"1.0","event_id":"sha256:9abf2e10f69575128d952fe2a15f1133c4c6233b0cab7ad8368c0f13d45535dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ETGSIAFSPX6O2BD5SOLWL6OWQM/bundle.json","state_url":"https://pith.science/pith/ETGSIAFSPX6O2BD5SOLWL6OWQM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ETGSIAFSPX6O2BD5SOLWL6OWQM/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":"2026-08-15T19:19:57Z","links":{"resolver":"https://pith.science/pith/ETGSIAFSPX6O2BD5SOLWL6OWQM","bundle":"https://pith.science/pith/ETGSIAFSPX6O2BD5SOLWL6OWQM/bundle.json","state":"https://pith.science/pith/ETGSIAFSPX6O2BD5SOLWL6OWQM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ETGSIAFSPX6O2BD5SOLWL6OWQM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ETGSIAFSPX6O2BD5SOLWL6OWQM","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":"2cc796773cc5aad65cf89237480ea7dc1f026614f6752c92b2712df54b1e86e7","cross_cats_sorted":["astro-ph.HE","hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-06T23:15:13Z","title_canon_sha256":"f288df1a46e0da821876ff4832e1324717b0230396acaa7d184768993c1ced66"},"schema_version":"1.0","source":{"id":"2608.06639","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.06639","created_at":"2026-08-10T01:11:33Z"},{"alias_kind":"arxiv_version","alias_value":"2608.06639v1","created_at":"2026-08-10T01:11:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.06639","created_at":"2026-08-10T01:11:33Z"},{"alias_kind":"pith_short_12","alias_value":"ETGSIAFSPX6O","created_at":"2026-08-10T01:11:33Z"},{"alias_kind":"pith_short_16","alias_value":"ETGSIAFSPX6O2BD5","created_at":"2026-08-10T01:11:33Z"},{"alias_kind":"pith_short_8","alias_value":"ETGSIAFS","created_at":"2026-08-10T01:11:33Z"}],"graph_snapshots":[{"event_id":"sha256:9abf2e10f69575128d952fe2a15f1133c4c6233b0cab7ad8368c0f13d45535dc","target":"graph","created_at":"2026-08-10T01:11:33Z","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/2608.06639/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a nonlinear electrodynamics (NLED) model for a static magnetic black hole. Rather than imposing a regular center, we require a Maxwell weak-field limit, finite magnetic self-energy, a positive and subluminal electromagnetic cone, the standard energy conditions, and a static exterior that satisfies known sufficient stability criteria. A positive mixture of power kernels restricts the exponent to $1/4<\\gamma\\leq1/2$. For the minimal two-kernel model, with $\\gamma_1=1/3$ and $\\gamma_2=1/2$, the field equations admit an exact solution in terms of incomplete beta functions. For the bra","authors_text":"Ariel Guzm\\'an, J. R. Villanueva, Mohsen Fathi","cross_cats":["astro-ph.HE","hep-th","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-06T23:15:13Z","title":"A causal magnetic black hole with finite self-energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.06639","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":"sha256:38f755249772c9617c2ab0a117b1b01438f7bd92c9ef33c84609386a9a415c40","target":"record","created_at":"2026-08-10T01:11:33Z","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":"2cc796773cc5aad65cf89237480ea7dc1f026614f6752c92b2712df54b1e86e7","cross_cats_sorted":["astro-ph.HE","hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-06T23:15:13Z","title_canon_sha256":"f288df1a46e0da821876ff4832e1324717b0230396acaa7d184768993c1ced66"},"schema_version":"1.0","source":{"id":"2608.06639","kind":"arxiv","version":1}},"canonical_sha256":"24cd2400b27dfced047d939765f9d6830fa3e9dea2f1da74ee6a555d1063776c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24cd2400b27dfced047d939765f9d6830fa3e9dea2f1da74ee6a555d1063776c","first_computed_at":"2026-08-10T01:11:33.526506Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-10T01:11:33.526506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tdlb6cHygmzy/zCCgLSQ5xaZ3ygv6vda/gEEV5IkZoXPbNjoHiWowq/F+LS7qz2F3VgL1InYoqwGpceEbpuZAw==","signature_status":"signed_v1","signed_at":"2026-08-10T01:11:33.529021Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.06639","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38f755249772c9617c2ab0a117b1b01438f7bd92c9ef33c84609386a9a415c40","sha256:9abf2e10f69575128d952fe2a15f1133c4c6233b0cab7ad8368c0f13d45535dc"],"state_sha256":"d4cb4d8cc9c0f97394bd427b9947a298af17018b23adbbde26d498ca5aa0fd99"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eo8drDEkjWstfG4FjKjiq5MJI4voI3/V5r3nWfQu47PNzgwel5jd8AUL4Fp09fjKmuyQezz4mXRulk/1UHk/Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T19:19:57.357418Z","bundle_sha256":"410f72ec6a3bd640d0cff658805bad63152f057821c94d3cb22b226973d9ff9b"}}