{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:GYCN3OBBTDILMRAVJPGNRRTDQ6","short_pith_number":"pith:GYCN3OBB","schema_version":"1.0","canonical_sha256":"3604ddb82198d0b644154bccd8c66387aecba5fb7757b3b54dcba5ca32d45125","source":{"kind":"arxiv","id":"hep-th/0406075","version":4},"attestation_state":"computed","paper":{"title":"Monopole-Antimonopole and Vortex Rings","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Khai-Ming Wong, Rosy Teh","submitted_at":"2004-06-09T09:53:26Z","abstract_excerpt":"The SU(2) Yang-Mills-Higgs theory supports the existence of monopoles, antimonopoles, and vortex rings. In this paper, we would like to present new exact static antimonopole-monopole-antimonopole (A-M-A) configurations. The net magnetic charge of these configurations is always negative one, whilst the net magnetic charge at the origin is always positive one for all positive integer values of the solution's parameter $m$. However, when $m$ increases beyond one, vortex rings appear coexisting with these A-M-A configurations. The number of vortex rings increases proportionally with the value of $"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/0406075","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-06-09T09:53:26Z","cross_cats_sorted":[],"title_canon_sha256":"76a105f521b30ea6a98206ad9f2c4543b9ba4aa725ae8787d883b58cae44f229","abstract_canon_sha256":"e3459565577ac9c493c58d0fb4539d29b356866703b94382de6f4d5e191aa2b5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:48:50.049911Z","signature_b64":"fbSo0m6Z0d+/tok2urYS41mN+C+ruKstF/VonNsbbgZpmiAymOVpmK2hf6iYDNdmBwJ+9ja1VuPPxWrq1hdLDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3604ddb82198d0b644154bccd8c66387aecba5fb7757b3b54dcba5ca32d45125","last_reissued_at":"2026-07-04T16:48:50.049557Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:48:50.049557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Monopole-Antimonopole and Vortex Rings","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Khai-Ming Wong, Rosy Teh","submitted_at":"2004-06-09T09:53:26Z","abstract_excerpt":"The SU(2) Yang-Mills-Higgs theory supports the existence of monopoles, antimonopoles, and vortex rings. In this paper, we would like to present new exact static antimonopole-monopole-antimonopole (A-M-A) configurations. The net magnetic charge of these configurations is always negative one, whilst the net magnetic charge at the origin is always positive one for all positive integer values of the solution's parameter $m$. However, when $m$ increases beyond one, vortex rings appear coexisting with these A-M-A configurations. The number of vortex rings increases proportionally with the value of $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0406075","kind":"arxiv","version":4},"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/hep-th/0406075/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0406075","created_at":"2026-07-04T16:48:50.049610+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0406075v4","created_at":"2026-07-04T16:48:50.049610+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0406075","created_at":"2026-07-04T16:48:50.049610+00:00"},{"alias_kind":"pith_short_12","alias_value":"GYCN3OBBTDIL","created_at":"2026-07-04T16:48:50.049610+00:00"},{"alias_kind":"pith_short_16","alias_value":"GYCN3OBBTDILMRAV","created_at":"2026-07-04T16:48:50.049610+00:00"},{"alias_kind":"pith_short_8","alias_value":"GYCN3OBB","created_at":"2026-07-04T16:48:50.049610+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.05342","citing_title":"Bifurcations in Bosonic Stars: chains and rings from spherical solutions","ref_index":55,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GYCN3OBBTDILMRAVJPGNRRTDQ6","json":"https://pith.science/pith/GYCN3OBBTDILMRAVJPGNRRTDQ6.json","graph_json":"https://pith.science/api/pith-number/GYCN3OBBTDILMRAVJPGNRRTDQ6/graph.json","events_json":"https://pith.science/api/pith-number/GYCN3OBBTDILMRAVJPGNRRTDQ6/events.json","paper":"https://pith.science/paper/GYCN3OBB"},"agent_actions":{"view_html":"https://pith.science/pith/GYCN3OBBTDILMRAVJPGNRRTDQ6","download_json":"https://pith.science/pith/GYCN3OBBTDILMRAVJPGNRRTDQ6.json","view_paper":"https://pith.science/paper/GYCN3OBB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0406075&json=true","fetch_graph":"https://pith.science/api/pith-number/GYCN3OBBTDILMRAVJPGNRRTDQ6/graph.json","fetch_events":"https://pith.science/api/pith-number/GYCN3OBBTDILMRAVJPGNRRTDQ6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GYCN3OBBTDILMRAVJPGNRRTDQ6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GYCN3OBBTDILMRAVJPGNRRTDQ6/action/storage_attestation","attest_author":"https://pith.science/pith/GYCN3OBBTDILMRAVJPGNRRTDQ6/action/author_attestation","sign_citation":"https://pith.science/pith/GYCN3OBBTDILMRAVJPGNRRTDQ6/action/citation_signature","submit_replication":"https://pith.science/pith/GYCN3OBBTDILMRAVJPGNRRTDQ6/action/replication_record"}},"created_at":"2026-07-04T16:48:50.049610+00:00","updated_at":"2026-07-04T16:48:50.049610+00:00"}