{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:SXOIPNUCSJC4FIJ5B5STDANELW","short_pith_number":"pith:SXOIPNUC","canonical_record":{"source":{"id":"2503.02179","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-03-04T01:40:04Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"8c6a64fbf64c23a584a3e8630de94219ffbdf04e13fe2c5cfe934c9f54435c3f","abstract_canon_sha256":"7f64fda5eb0d38ff6caa5ee65a6e50d28d96d6d39ff97d11ecc298b555a7a6e4"},"schema_version":"1.0"},"canonical_sha256":"95dc87b6829245c2a13d0f653181a45da11e50a9a7b2d87ea95f6fc0c23cbf5a","source":{"kind":"arxiv","id":"2503.02179","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.02179","created_at":"2026-07-05T10:57:34Z"},{"alias_kind":"arxiv_version","alias_value":"2503.02179v2","created_at":"2026-07-05T10:57:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.02179","created_at":"2026-07-05T10:57:34Z"},{"alias_kind":"pith_short_12","alias_value":"SXOIPNUCSJC4","created_at":"2026-07-05T10:57:34Z"},{"alias_kind":"pith_short_16","alias_value":"SXOIPNUCSJC4FIJ5","created_at":"2026-07-05T10:57:34Z"},{"alias_kind":"pith_short_8","alias_value":"SXOIPNUC","created_at":"2026-07-05T10:57:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:SXOIPNUCSJC4FIJ5B5STDANELW","target":"record","payload":{"canonical_record":{"source":{"id":"2503.02179","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-03-04T01:40:04Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"8c6a64fbf64c23a584a3e8630de94219ffbdf04e13fe2c5cfe934c9f54435c3f","abstract_canon_sha256":"7f64fda5eb0d38ff6caa5ee65a6e50d28d96d6d39ff97d11ecc298b555a7a6e4"},"schema_version":"1.0"},"canonical_sha256":"95dc87b6829245c2a13d0f653181a45da11e50a9a7b2d87ea95f6fc0c23cbf5a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:57:34.603124Z","signature_b64":"nuxL4k5mPvqIGHthcHjPdwjpeLaRSFZ50OYGEuR1i6uEETXau82fz+4sBB3hoCjRQbcAphNDikFNQc1s/YPzBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95dc87b6829245c2a13d0f653181a45da11e50a9a7b2d87ea95f6fc0c23cbf5a","last_reissued_at":"2026-07-05T10:57:34.602633Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:57:34.602633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.02179","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":"2026-07-05T10:57:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t11dEKi2nv45xeshIEwBSKSCeqOpURTGbs7Tm+iW7EHsFtXjOWRTk2cizVpOitpQPdqfVExRa8cofcLEjpVzAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T11:43:57.418710Z"},"content_sha256":"687261cd2d351bd01907ef3df45635d53b2dc7b4df04249a26812b2bd0fe1404","schema_version":"1.0","event_id":"sha256:687261cd2d351bd01907ef3df45635d53b2dc7b4df04249a26812b2bd0fe1404"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:SXOIPNUCSJC4FIJ5B5STDANELW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Shadows aspect of rotating black holes in the Einstein-AdS SU(N)-nonlinear sigma model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Mohsen Fathi, Yassine Sekhmani","submitted_at":"2025-03-04T01:40:04Z","abstract_excerpt":"Recent observations of the supermassive black holes M87* and Sgr A* by the Event Horizon Telescope (EHT) have opened new avenues for testing gravity theories through black hole shadow observables. These observations offer a means to distinguish between general relativity and modified gravity theories while providing insights into the astrophysical properties of the observed black holes. In this work, we investigate photon orbits and shadow characteristics of rotating black holes within the Einstein-$\\mathrm{SU}(N)$ nonlinear sigma model. We first analyze the static, spherically symmetric black"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.02179","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2503.02179/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":"2026-07-05T10:57:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y1d2uwFdaQAdjxmYXSLtCxpWD63KkvojK4C4SqK5robHCp/WIKiiFfj+4CCWLgjvBy7GQKbqKNxAkbeKtmu8Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T11:43:57.419287Z"},"content_sha256":"eb132656607000058d0f523214fac47e336b4c5abb870cf614ff807a057de1bc","schema_version":"1.0","event_id":"sha256:eb132656607000058d0f523214fac47e336b4c5abb870cf614ff807a057de1bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SXOIPNUCSJC4FIJ5B5STDANELW/bundle.json","state_url":"https://pith.science/pith/SXOIPNUCSJC4FIJ5B5STDANELW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SXOIPNUCSJC4FIJ5B5STDANELW/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":"2026-08-05T11:43:57Z","links":{"resolver":"https://pith.science/pith/SXOIPNUCSJC4FIJ5B5STDANELW","bundle":"https://pith.science/pith/SXOIPNUCSJC4FIJ5B5STDANELW/bundle.json","state":"https://pith.science/pith/SXOIPNUCSJC4FIJ5B5STDANELW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SXOIPNUCSJC4FIJ5B5STDANELW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:SXOIPNUCSJC4FIJ5B5STDANELW","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":"7f64fda5eb0d38ff6caa5ee65a6e50d28d96d6d39ff97d11ecc298b555a7a6e4","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-03-04T01:40:04Z","title_canon_sha256":"8c6a64fbf64c23a584a3e8630de94219ffbdf04e13fe2c5cfe934c9f54435c3f"},"schema_version":"1.0","source":{"id":"2503.02179","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.02179","created_at":"2026-07-05T10:57:34Z"},{"alias_kind":"arxiv_version","alias_value":"2503.02179v2","created_at":"2026-07-05T10:57:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.02179","created_at":"2026-07-05T10:57:34Z"},{"alias_kind":"pith_short_12","alias_value":"SXOIPNUCSJC4","created_at":"2026-07-05T10:57:34Z"},{"alias_kind":"pith_short_16","alias_value":"SXOIPNUCSJC4FIJ5","created_at":"2026-07-05T10:57:34Z"},{"alias_kind":"pith_short_8","alias_value":"SXOIPNUC","created_at":"2026-07-05T10:57:34Z"}],"graph_snapshots":[{"event_id":"sha256:eb132656607000058d0f523214fac47e336b4c5abb870cf614ff807a057de1bc","target":"graph","created_at":"2026-07-05T10:57:34Z","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/2503.02179/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent observations of the supermassive black holes M87* and Sgr A* by the Event Horizon Telescope (EHT) have opened new avenues for testing gravity theories through black hole shadow observables. These observations offer a means to distinguish between general relativity and modified gravity theories while providing insights into the astrophysical properties of the observed black holes. In this work, we investigate photon orbits and shadow characteristics of rotating black holes within the Einstein-$\\mathrm{SU}(N)$ nonlinear sigma model. We first analyze the static, spherically symmetric black","authors_text":"Mohsen Fathi, Yassine Sekhmani","cross_cats":["astro-ph.HE","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-03-04T01:40:04Z","title":"Shadows aspect of rotating black holes in the Einstein-AdS SU(N)-nonlinear sigma model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.02179","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":"sha256:687261cd2d351bd01907ef3df45635d53b2dc7b4df04249a26812b2bd0fe1404","target":"record","created_at":"2026-07-05T10:57:34Z","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":"7f64fda5eb0d38ff6caa5ee65a6e50d28d96d6d39ff97d11ecc298b555a7a6e4","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-03-04T01:40:04Z","title_canon_sha256":"8c6a64fbf64c23a584a3e8630de94219ffbdf04e13fe2c5cfe934c9f54435c3f"},"schema_version":"1.0","source":{"id":"2503.02179","kind":"arxiv","version":2}},"canonical_sha256":"95dc87b6829245c2a13d0f653181a45da11e50a9a7b2d87ea95f6fc0c23cbf5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95dc87b6829245c2a13d0f653181a45da11e50a9a7b2d87ea95f6fc0c23cbf5a","first_computed_at":"2026-07-05T10:57:34.602633Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:57:34.602633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nuxL4k5mPvqIGHthcHjPdwjpeLaRSFZ50OYGEuR1i6uEETXau82fz+4sBB3hoCjRQbcAphNDikFNQc1s/YPzBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:57:34.603124Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.02179","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:687261cd2d351bd01907ef3df45635d53b2dc7b4df04249a26812b2bd0fe1404","sha256:eb132656607000058d0f523214fac47e336b4c5abb870cf614ff807a057de1bc"],"state_sha256":"f40147aae6f2823c751bbad1601627cbd4e418c851327611fb046987aa9d28f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/TEilp+Jopn3UWemSXfeKIREwLc7uuLNe5L//mTDKcYh2zrUptGft1ZqV81zO1owN2405COoyj+fkDYXI53NDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T11:43:57.423260Z","bundle_sha256":"e2dda5b1579745e567e78adb58ae240e457f9e9a727dc9427e9fd38cf3d5c7f5"}}