{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:YGAREZESGFVM45JFP5UPW7JOSF","short_pith_number":"pith:YGAREZES","canonical_record":{"source":{"id":"1508.07304","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-28T18:39:28Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"142bc35a3e025ddf5c301b4ece449cb4c596cd1118a7cef9b0d9d661788100b4","abstract_canon_sha256":"ba60dadfaaf961d996e6c94b17c6f8c0762df8a13d1045d8f1d3cde9d8ff5402"},"schema_version":"1.0"},"canonical_sha256":"c181126492316ace75257f68fb7d2e915c17facedaa14c9e1dce0558d16d35b7","source":{"kind":"arxiv","id":"1508.07304","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07304","created_at":"2026-05-18T01:34:36Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07304v1","created_at":"2026-05-18T01:34:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07304","created_at":"2026-05-18T01:34:36Z"},{"alias_kind":"pith_short_12","alias_value":"YGAREZESGFVM","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YGAREZESGFVM45JF","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YGAREZES","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:YGAREZESGFVM45JFP5UPW7JOSF","target":"record","payload":{"canonical_record":{"source":{"id":"1508.07304","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-28T18:39:28Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"142bc35a3e025ddf5c301b4ece449cb4c596cd1118a7cef9b0d9d661788100b4","abstract_canon_sha256":"ba60dadfaaf961d996e6c94b17c6f8c0762df8a13d1045d8f1d3cde9d8ff5402"},"schema_version":"1.0"},"canonical_sha256":"c181126492316ace75257f68fb7d2e915c17facedaa14c9e1dce0558d16d35b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:36.375945Z","signature_b64":"VMsqxl+vS3QL5z5hnA8bAmXLaZTZ0guPMLxI+yFvHa6d3slMBSGBkEm4eG9CcLw1Bk/YoSl8j0sxSbvx8j9ZAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c181126492316ace75257f68fb7d2e915c17facedaa14c9e1dce0558d16d35b7","last_reissued_at":"2026-05-18T01:34:36.375356Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:36.375356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.07304","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":"2026-05-18T01:34:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kVPq8NIUrVvP+n7I6R1TZts8stMl1tlxj3WP60hCdI9sLhaJ6bNoe8UJ5n/PMP/bMxS3WCnifB3qSJYRl0O8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T23:20:43.948288Z"},"content_sha256":"ff1fd501a49ab508815f8efb090a7445807033968827acd9a87d5564d11a261f","schema_version":"1.0","event_id":"sha256:ff1fd501a49ab508815f8efb090a7445807033968827acd9a87d5564d11a261f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:YGAREZESGFVM45JFP5UPW7JOSF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hyperbolic monopoles from hyperbolic vortices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Rafael Maldonado","submitted_at":"2015-08-28T18:39:28Z","abstract_excerpt":"Certain hyperbolic monopoles and all hyperbolic vortices can be constructed from SO(2) and SO(3) invariant Euclidean instantons, respectively. This observation allows us to describe a large class of hyperbolic monopoles as hyperbolic vortices embedded into $\\mathbb{H}^3$ and yields a remarkably simple relation between the two Higgs fields. This correspondence between vortices and monopoles gives new insight into the geometry of the spectral curve and the moduli space of hyperbolic monopoles. It also allows an explicit construction of the fields of a hyperbolic monopole invariant under a $\\math"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07304","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":"2026-05-18T01:34:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"adYgw4x7uqOorUnpz5RG6YhrB1ckV5EbmrLj+l+XkUxLLaVRt5GoFX34gyBzygzQlnHivd6OZAmwiykgADOdDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T23:20:43.948658Z"},"content_sha256":"e71922291247258f6e96e810abb089b7b26d61ad466c6997b65fea87526d79cd","schema_version":"1.0","event_id":"sha256:e71922291247258f6e96e810abb089b7b26d61ad466c6997b65fea87526d79cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YGAREZESGFVM45JFP5UPW7JOSF/bundle.json","state_url":"https://pith.science/pith/YGAREZESGFVM45JFP5UPW7JOSF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YGAREZESGFVM45JFP5UPW7JOSF/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":"2026-06-30T23:20:43Z","links":{"resolver":"https://pith.science/pith/YGAREZESGFVM45JFP5UPW7JOSF","bundle":"https://pith.science/pith/YGAREZESGFVM45JFP5UPW7JOSF/bundle.json","state":"https://pith.science/pith/YGAREZESGFVM45JFP5UPW7JOSF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YGAREZESGFVM45JFP5UPW7JOSF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YGAREZESGFVM45JFP5UPW7JOSF","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":"ba60dadfaaf961d996e6c94b17c6f8c0762df8a13d1045d8f1d3cde9d8ff5402","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-28T18:39:28Z","title_canon_sha256":"142bc35a3e025ddf5c301b4ece449cb4c596cd1118a7cef9b0d9d661788100b4"},"schema_version":"1.0","source":{"id":"1508.07304","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07304","created_at":"2026-05-18T01:34:36Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07304v1","created_at":"2026-05-18T01:34:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07304","created_at":"2026-05-18T01:34:36Z"},{"alias_kind":"pith_short_12","alias_value":"YGAREZESGFVM","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YGAREZESGFVM45JF","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YGAREZES","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:e71922291247258f6e96e810abb089b7b26d61ad466c6997b65fea87526d79cd","target":"graph","created_at":"2026-05-18T01:34:36Z","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":"Certain hyperbolic monopoles and all hyperbolic vortices can be constructed from SO(2) and SO(3) invariant Euclidean instantons, respectively. This observation allows us to describe a large class of hyperbolic monopoles as hyperbolic vortices embedded into $\\mathbb{H}^3$ and yields a remarkably simple relation between the two Higgs fields. This correspondence between vortices and monopoles gives new insight into the geometry of the spectral curve and the moduli space of hyperbolic monopoles. It also allows an explicit construction of the fields of a hyperbolic monopole invariant under a $\\math","authors_text":"Rafael Maldonado","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-28T18:39:28Z","title":"Hyperbolic monopoles from hyperbolic vortices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07304","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:ff1fd501a49ab508815f8efb090a7445807033968827acd9a87d5564d11a261f","target":"record","created_at":"2026-05-18T01:34:36Z","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":"ba60dadfaaf961d996e6c94b17c6f8c0762df8a13d1045d8f1d3cde9d8ff5402","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-28T18:39:28Z","title_canon_sha256":"142bc35a3e025ddf5c301b4ece449cb4c596cd1118a7cef9b0d9d661788100b4"},"schema_version":"1.0","source":{"id":"1508.07304","kind":"arxiv","version":1}},"canonical_sha256":"c181126492316ace75257f68fb7d2e915c17facedaa14c9e1dce0558d16d35b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c181126492316ace75257f68fb7d2e915c17facedaa14c9e1dce0558d16d35b7","first_computed_at":"2026-05-18T01:34:36.375356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:36.375356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VMsqxl+vS3QL5z5hnA8bAmXLaZTZ0guPMLxI+yFvHa6d3slMBSGBkEm4eG9CcLw1Bk/YoSl8j0sxSbvx8j9ZAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:36.375945Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.07304","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff1fd501a49ab508815f8efb090a7445807033968827acd9a87d5564d11a261f","sha256:e71922291247258f6e96e810abb089b7b26d61ad466c6997b65fea87526d79cd"],"state_sha256":"e68857747711b23624932a4f24208dba6114d32e629df42181df8ec77dddb703"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n7BXmwSKaQtPSCxwNEcqoJsDy+XbpB9uTnwLB0zwEwtIyrNWmdU2yGFKGOGw4hAgdE7f7scm8KhVudrYO+lJBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T23:20:43.950843Z","bundle_sha256":"e002ee215416a397083a8761ad2a8d823b22a3d29a6e7f082efcfd217bd891e7"}}