{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:4NEBSKQ7RUB4IKZRY6HRHCPNOF","short_pith_number":"pith:4NEBSKQ7","canonical_record":{"source":{"id":"2503.14984","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-03-19T08:29:20Z","cross_cats_sorted":[],"title_canon_sha256":"a32be39b3e155e17a7840235d4b4f0da52b6835cf51b10285e65d16c4470501b","abstract_canon_sha256":"0be87d6d7e8495acc7916cc765fb50950778b3f378d38954077fcb0c620842a4"},"schema_version":"1.0"},"canonical_sha256":"e348192a1f8d03c42b31c78f1389ed7145a86389077f573544ab7a7dba9a74d7","source":{"kind":"arxiv","id":"2503.14984","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.14984","created_at":"2026-07-05T10:34:28Z"},{"alias_kind":"arxiv_version","alias_value":"2503.14984v1","created_at":"2026-07-05T10:34:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.14984","created_at":"2026-07-05T10:34:28Z"},{"alias_kind":"pith_short_12","alias_value":"4NEBSKQ7RUB4","created_at":"2026-07-05T10:34:28Z"},{"alias_kind":"pith_short_16","alias_value":"4NEBSKQ7RUB4IKZR","created_at":"2026-07-05T10:34:28Z"},{"alias_kind":"pith_short_8","alias_value":"4NEBSKQ7","created_at":"2026-07-05T10:34:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:4NEBSKQ7RUB4IKZRY6HRHCPNOF","target":"record","payload":{"canonical_record":{"source":{"id":"2503.14984","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-03-19T08:29:20Z","cross_cats_sorted":[],"title_canon_sha256":"a32be39b3e155e17a7840235d4b4f0da52b6835cf51b10285e65d16c4470501b","abstract_canon_sha256":"0be87d6d7e8495acc7916cc765fb50950778b3f378d38954077fcb0c620842a4"},"schema_version":"1.0"},"canonical_sha256":"e348192a1f8d03c42b31c78f1389ed7145a86389077f573544ab7a7dba9a74d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:34:28.998744Z","signature_b64":"9I1XJmkQp36mH/GB3qrm+n+1vu15kItYWHrMFwQJeeTz9JwO6Dnl7+dzlXHMst4Ug3S2ZdfM4gfOR2mly/7MDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e348192a1f8d03c42b31c78f1389ed7145a86389077f573544ab7a7dba9a74d7","last_reissued_at":"2026-07-05T10:34:28.998113Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:34:28.998113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.14984","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":"2026-07-05T10:34:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8PkmUOITLyneVhKyxhcsFDMRgEHRsVjMq9X01JCvhh0/XtL8CC0RNmgNHUCRvvhVX2oJ3dqd+zipxUb/AGgnBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T16:15:35.615725Z"},"content_sha256":"4582fa24dc3404b8ea642ec2783046d90705b89cb9b85258c0252e80caef12ab","schema_version":"1.0","event_id":"sha256:4582fa24dc3404b8ea642ec2783046d90705b89cb9b85258c0252e80caef12ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:4NEBSKQ7RUB4IKZRY6HRHCPNOF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Orbits of photon in Bardeen-boson stars and their frozen states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Long-Xing Huang, Shi-Xian Sun, Yong-Qiang Wang, Yu-Peng Zhang, Zhen-hua Zhao","submitted_at":"2025-03-19T08:29:20Z","abstract_excerpt":"In a recent study [1], the Bardeen-boson star (BBS) model involving a scalar field minimally coupled to Einstein gravity and a Bardeen's nonlinear electromagnetic field was investigated. It was found that when the magnetic charge $q$ of the electromagnetic field exceeds a certain critical value $q_c$, a frozen Bardeen-boson star (FBBS) can be obtained with the frequency approaching zero. In this paper, we study the null orbits in the background of the general BBS and FBBS. We find that similar to the boson star (BS), all BBSs do not have the event horizon and possess complete null geodesics, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.14984","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/2503.14984/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":"2026-07-05T10:34:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7iN+WKTsElD9wh55ySDwtIT/rilaQagSxx5XJyOYJgDuPIODDBxoAcAjSBYgqMA8y4YX00mpunpXB7l+c7srCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T16:15:35.616618Z"},"content_sha256":"581c735fd1fdc2005097cba15dba0b32833c8337c9268139772d9ebcb4e0b614","schema_version":"1.0","event_id":"sha256:581c735fd1fdc2005097cba15dba0b32833c8337c9268139772d9ebcb4e0b614"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4NEBSKQ7RUB4IKZRY6HRHCPNOF/bundle.json","state_url":"https://pith.science/pith/4NEBSKQ7RUB4IKZRY6HRHCPNOF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4NEBSKQ7RUB4IKZRY6HRHCPNOF/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":"2026-08-04T16:15:35Z","links":{"resolver":"https://pith.science/pith/4NEBSKQ7RUB4IKZRY6HRHCPNOF","bundle":"https://pith.science/pith/4NEBSKQ7RUB4IKZRY6HRHCPNOF/bundle.json","state":"https://pith.science/pith/4NEBSKQ7RUB4IKZRY6HRHCPNOF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4NEBSKQ7RUB4IKZRY6HRHCPNOF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4NEBSKQ7RUB4IKZRY6HRHCPNOF","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":"0be87d6d7e8495acc7916cc765fb50950778b3f378d38954077fcb0c620842a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-03-19T08:29:20Z","title_canon_sha256":"a32be39b3e155e17a7840235d4b4f0da52b6835cf51b10285e65d16c4470501b"},"schema_version":"1.0","source":{"id":"2503.14984","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.14984","created_at":"2026-07-05T10:34:28Z"},{"alias_kind":"arxiv_version","alias_value":"2503.14984v1","created_at":"2026-07-05T10:34:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.14984","created_at":"2026-07-05T10:34:28Z"},{"alias_kind":"pith_short_12","alias_value":"4NEBSKQ7RUB4","created_at":"2026-07-05T10:34:28Z"},{"alias_kind":"pith_short_16","alias_value":"4NEBSKQ7RUB4IKZR","created_at":"2026-07-05T10:34:28Z"},{"alias_kind":"pith_short_8","alias_value":"4NEBSKQ7","created_at":"2026-07-05T10:34:28Z"}],"graph_snapshots":[{"event_id":"sha256:581c735fd1fdc2005097cba15dba0b32833c8337c9268139772d9ebcb4e0b614","target":"graph","created_at":"2026-07-05T10:34:28Z","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/2503.14984/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In a recent study [1], the Bardeen-boson star (BBS) model involving a scalar field minimally coupled to Einstein gravity and a Bardeen's nonlinear electromagnetic field was investigated. It was found that when the magnetic charge $q$ of the electromagnetic field exceeds a certain critical value $q_c$, a frozen Bardeen-boson star (FBBS) can be obtained with the frequency approaching zero. In this paper, we study the null orbits in the background of the general BBS and FBBS. We find that similar to the boson star (BS), all BBSs do not have the event horizon and possess complete null geodesics, a","authors_text":"Long-Xing Huang, Shi-Xian Sun, Yong-Qiang Wang, Yu-Peng Zhang, Zhen-hua Zhao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-03-19T08:29:20Z","title":"Orbits of photon in Bardeen-boson stars and their frozen states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.14984","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":"sha256:4582fa24dc3404b8ea642ec2783046d90705b89cb9b85258c0252e80caef12ab","target":"record","created_at":"2026-07-05T10:34:28Z","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":"0be87d6d7e8495acc7916cc765fb50950778b3f378d38954077fcb0c620842a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-03-19T08:29:20Z","title_canon_sha256":"a32be39b3e155e17a7840235d4b4f0da52b6835cf51b10285e65d16c4470501b"},"schema_version":"1.0","source":{"id":"2503.14984","kind":"arxiv","version":1}},"canonical_sha256":"e348192a1f8d03c42b31c78f1389ed7145a86389077f573544ab7a7dba9a74d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e348192a1f8d03c42b31c78f1389ed7145a86389077f573544ab7a7dba9a74d7","first_computed_at":"2026-07-05T10:34:28.998113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:34:28.998113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9I1XJmkQp36mH/GB3qrm+n+1vu15kItYWHrMFwQJeeTz9JwO6Dnl7+dzlXHMst4Ug3S2ZdfM4gfOR2mly/7MDg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:34:28.998744Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.14984","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4582fa24dc3404b8ea642ec2783046d90705b89cb9b85258c0252e80caef12ab","sha256:581c735fd1fdc2005097cba15dba0b32833c8337c9268139772d9ebcb4e0b614"],"state_sha256":"e7d26fcc7eb483a3609380ab799a5d3dcfc4d080cc5f956d66229dfeb5e31f8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+D1E5bJLjyZcaQht5A3OXUPOdzVFJcHNhGz2Z/1hYcmFUoWWIf7NQoCX4mFfSqcfFWY0BP4UsNRFRJ6m24PMBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T16:15:35.621320Z","bundle_sha256":"c1cf01d7c5162c18b2479234204917e2607cb01f0b82f71ec5d11688fdd190ef"}}