{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:QIHUEUP33AH2KLDP4CCUITNVPD","short_pith_number":"pith:QIHUEUP3","canonical_record":{"source":{"id":"1304.0549","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-04-02T07:51:21Z","cross_cats_sorted":[],"title_canon_sha256":"1f625f277d6fba302806e679f0b7178802538f8f330c2266d46147788efc9076","abstract_canon_sha256":"27a2da2ac1e282784ccba4d1cc609d849a61bdbb35d1bdd5068d06ef1d618566"},"schema_version":"1.0"},"canonical_sha256":"820f4251fbd80fa52c6fe085444db578ec1c144a4aa6fbb9319a15c0dde7dfab","source":{"kind":"arxiv","id":"1304.0549","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.0549","created_at":"2026-05-18T01:50:50Z"},{"alias_kind":"arxiv_version","alias_value":"1304.0549v1","created_at":"2026-05-18T01:50:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0549","created_at":"2026-05-18T01:50:50Z"},{"alias_kind":"pith_short_12","alias_value":"QIHUEUP33AH2","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QIHUEUP33AH2KLDP","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QIHUEUP3","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:QIHUEUP33AH2KLDP4CCUITNVPD","target":"record","payload":{"canonical_record":{"source":{"id":"1304.0549","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-04-02T07:51:21Z","cross_cats_sorted":[],"title_canon_sha256":"1f625f277d6fba302806e679f0b7178802538f8f330c2266d46147788efc9076","abstract_canon_sha256":"27a2da2ac1e282784ccba4d1cc609d849a61bdbb35d1bdd5068d06ef1d618566"},"schema_version":"1.0"},"canonical_sha256":"820f4251fbd80fa52c6fe085444db578ec1c144a4aa6fbb9319a15c0dde7dfab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:50.148797Z","signature_b64":"OrhRpbVRpn4iGWUSaeaeMu+Wk8FF8FnsKicLMAWFS66GYHfu6vmiPvvxBxIqU+fcuS1hEf6rwBXgh8k9pzEwAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"820f4251fbd80fa52c6fe085444db578ec1c144a4aa6fbb9319a15c0dde7dfab","last_reissued_at":"2026-05-18T01:50:50.148257Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:50.148257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.0549","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":"2026-05-18T01:50:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZYLkaKL7rBv9Ju1g61S5KmwZmoxHd08NsByGyx6Ubd7K2U1Yx1yC+Xhq92/PgIDMjFUjnKR3iXBtnH4IbSwbAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:30:56.850433Z"},"content_sha256":"54e722ccdb46827ea569ee8b449961ee8fc4a578d639c33715e09966dcd0c50d","schema_version":"1.0","event_id":"sha256:54e722ccdb46827ea569ee8b449961ee8fc4a578d639c33715e09966dcd0c50d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:QIHUEUP33AH2KLDP4CCUITNVPD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coexistence of oppositely flowing multi-$\\varphi$-currents: Key to large toroidal magnetic fields within stars","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Kotaro Fujisawa, Yoshiharu Eriguchi","submitted_at":"2013-04-02T07:51:21Z","abstract_excerpt":"We will show the importance of coexistence of oppositely flowing $\\varphi$-currents for magnetized stars to sustain strong toroidal magnetic fields within the stars by an- alyzing stationary states of magnetized stars with surface currents which flow in the opposite direction with respect to the bulk currents within the stars. We have imposed boundary conditions for currents and toroidal magnetic fields to vanish outside the stars. It is important to note that these boundary conditions set an upper limit for the total current within the stars. This upper limit for the total current results in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0549","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":"2026-05-18T01:50:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gfa1jjks0SfnueWjsQH3Zwhm7KPIg4hw3iHkA+KvPdd78kVcSdii/alsIjYH8KzSAOZ8kCgNxNrBDvTuG/fiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:30:56.850834Z"},"content_sha256":"533879b8a4fe8f4f31de582010a84bb38876de3f388536c235f4354561b6ef16","schema_version":"1.0","event_id":"sha256:533879b8a4fe8f4f31de582010a84bb38876de3f388536c235f4354561b6ef16"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QIHUEUP33AH2KLDP4CCUITNVPD/bundle.json","state_url":"https://pith.science/pith/QIHUEUP33AH2KLDP4CCUITNVPD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QIHUEUP33AH2KLDP4CCUITNVPD/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":"2026-06-07T18:30:56Z","links":{"resolver":"https://pith.science/pith/QIHUEUP33AH2KLDP4CCUITNVPD","bundle":"https://pith.science/pith/QIHUEUP33AH2KLDP4CCUITNVPD/bundle.json","state":"https://pith.science/pith/QIHUEUP33AH2KLDP4CCUITNVPD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QIHUEUP33AH2KLDP4CCUITNVPD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QIHUEUP33AH2KLDP4CCUITNVPD","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":"27a2da2ac1e282784ccba4d1cc609d849a61bdbb35d1bdd5068d06ef1d618566","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-04-02T07:51:21Z","title_canon_sha256":"1f625f277d6fba302806e679f0b7178802538f8f330c2266d46147788efc9076"},"schema_version":"1.0","source":{"id":"1304.0549","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.0549","created_at":"2026-05-18T01:50:50Z"},{"alias_kind":"arxiv_version","alias_value":"1304.0549v1","created_at":"2026-05-18T01:50:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0549","created_at":"2026-05-18T01:50:50Z"},{"alias_kind":"pith_short_12","alias_value":"QIHUEUP33AH2","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QIHUEUP33AH2KLDP","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QIHUEUP3","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:533879b8a4fe8f4f31de582010a84bb38876de3f388536c235f4354561b6ef16","target":"graph","created_at":"2026-05-18T01:50:50Z","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":"We will show the importance of coexistence of oppositely flowing $\\varphi$-currents for magnetized stars to sustain strong toroidal magnetic fields within the stars by an- alyzing stationary states of magnetized stars with surface currents which flow in the opposite direction with respect to the bulk currents within the stars. We have imposed boundary conditions for currents and toroidal magnetic fields to vanish outside the stars. It is important to note that these boundary conditions set an upper limit for the total current within the stars. This upper limit for the total current results in ","authors_text":"Kotaro Fujisawa, Yoshiharu Eriguchi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-04-02T07:51:21Z","title":"Coexistence of oppositely flowing multi-$\\varphi$-currents: Key to large toroidal magnetic fields within stars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0549","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":"sha256:54e722ccdb46827ea569ee8b449961ee8fc4a578d639c33715e09966dcd0c50d","target":"record","created_at":"2026-05-18T01:50:50Z","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":"27a2da2ac1e282784ccba4d1cc609d849a61bdbb35d1bdd5068d06ef1d618566","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-04-02T07:51:21Z","title_canon_sha256":"1f625f277d6fba302806e679f0b7178802538f8f330c2266d46147788efc9076"},"schema_version":"1.0","source":{"id":"1304.0549","kind":"arxiv","version":1}},"canonical_sha256":"820f4251fbd80fa52c6fe085444db578ec1c144a4aa6fbb9319a15c0dde7dfab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"820f4251fbd80fa52c6fe085444db578ec1c144a4aa6fbb9319a15c0dde7dfab","first_computed_at":"2026-05-18T01:50:50.148257Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:50.148257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OrhRpbVRpn4iGWUSaeaeMu+Wk8FF8FnsKicLMAWFS66GYHfu6vmiPvvxBxIqU+fcuS1hEf6rwBXgh8k9pzEwAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:50.148797Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.0549","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54e722ccdb46827ea569ee8b449961ee8fc4a578d639c33715e09966dcd0c50d","sha256:533879b8a4fe8f4f31de582010a84bb38876de3f388536c235f4354561b6ef16"],"state_sha256":"b7ea41e654a10feee7f1f1a986fe051c3f14065d35d96b3be3107e7033948683"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x2atBt9GO9ky4vQO0loL57C4s5mJNaqHqT5lPw+BtRVfORSLoxyXBE8Un3K43W3LN6abWg0wYYHm+jp5BGqTAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T18:30:56.853206Z","bundle_sha256":"7664d877afc31539ed32be701f22150bddfa2c81aefbbf91faed4a454bdb077a"}}