{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:3E7K5GAADQJSXGXVMWBWCOZAED","short_pith_number":"pith:3E7K5GAA","schema_version":"1.0","canonical_sha256":"d93eae98001c132b9af56583613b2020fba841d94020f6405f1422c8014bdbd1","source":{"kind":"arxiv","id":"1508.06566","version":2},"attestation_state":"computed","paper":{"title":"Adiabatic dynamics of instantons on $S ^4 $","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Bernd J. Schroers, Guido Franchetti","submitted_at":"2015-08-26T16:45:41Z","abstract_excerpt":"We define and compute the $L^2$ metric on the framed moduli space of circle invariant 1-instantons on the 4-sphere. This moduli space is four dimensional and our metric is $SO(3) \\times U(1)$ symmetric. We study the behaviour of generic geodesics and show that the metric is geodesically incomplete. Circle-invariant instantons on the 4-sphere can also be viewed as hyperbolic monopoles, and we interpret our results from this viewpoint. We relate our results to work by Habermann on unframed instantons on the 4-sphere and, in the limit where the radius of the 4-sphere tends to infinity, to results"},"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":"1508.06566","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-26T16:45:41Z","cross_cats_sorted":[],"title_canon_sha256":"d585b0763d4ba9ba6ac3f4f1adaba0f38b9ca81ab4cfdb59c6764b48c3b09ff2","abstract_canon_sha256":"8513c964f9a2f299fc4223bedfb8bd79e01af45e6459236fa64336cfe077ace0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:58.916900Z","signature_b64":"InF0BQanvL8j1MbYighyG4RuziTcndr6ke7wIZqYlxb/0o+Ql89Z6X+H1Ey+zdS+Ds2JqHnfuntC+Ug7drwBDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d93eae98001c132b9af56583613b2020fba841d94020f6405f1422c8014bdbd1","last_reissued_at":"2026-05-18T00:45:58.916439Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:58.916439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Adiabatic dynamics of instantons on $S ^4 $","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Bernd J. Schroers, Guido Franchetti","submitted_at":"2015-08-26T16:45:41Z","abstract_excerpt":"We define and compute the $L^2$ metric on the framed moduli space of circle invariant 1-instantons on the 4-sphere. This moduli space is four dimensional and our metric is $SO(3) \\times U(1)$ symmetric. We study the behaviour of generic geodesics and show that the metric is geodesically incomplete. Circle-invariant instantons on the 4-sphere can also be viewed as hyperbolic monopoles, and we interpret our results from this viewpoint. We relate our results to work by Habermann on unframed instantons on the 4-sphere and, in the limit where the radius of the 4-sphere tends to infinity, to results"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06566","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":""},"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":"1508.06566","created_at":"2026-05-18T00:45:58.916503+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.06566v2","created_at":"2026-05-18T00:45:58.916503+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06566","created_at":"2026-05-18T00:45:58.916503+00:00"},{"alias_kind":"pith_short_12","alias_value":"3E7K5GAADQJS","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"3E7K5GAADQJSXGXV","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"3E7K5GAA","created_at":"2026-05-18T12:29:02.477457+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3E7K5GAADQJSXGXVMWBWCOZAED","json":"https://pith.science/pith/3E7K5GAADQJSXGXVMWBWCOZAED.json","graph_json":"https://pith.science/api/pith-number/3E7K5GAADQJSXGXVMWBWCOZAED/graph.json","events_json":"https://pith.science/api/pith-number/3E7K5GAADQJSXGXVMWBWCOZAED/events.json","paper":"https://pith.science/paper/3E7K5GAA"},"agent_actions":{"view_html":"https://pith.science/pith/3E7K5GAADQJSXGXVMWBWCOZAED","download_json":"https://pith.science/pith/3E7K5GAADQJSXGXVMWBWCOZAED.json","view_paper":"https://pith.science/paper/3E7K5GAA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.06566&json=true","fetch_graph":"https://pith.science/api/pith-number/3E7K5GAADQJSXGXVMWBWCOZAED/graph.json","fetch_events":"https://pith.science/api/pith-number/3E7K5GAADQJSXGXVMWBWCOZAED/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3E7K5GAADQJSXGXVMWBWCOZAED/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3E7K5GAADQJSXGXVMWBWCOZAED/action/storage_attestation","attest_author":"https://pith.science/pith/3E7K5GAADQJSXGXVMWBWCOZAED/action/author_attestation","sign_citation":"https://pith.science/pith/3E7K5GAADQJSXGXVMWBWCOZAED/action/citation_signature","submit_replication":"https://pith.science/pith/3E7K5GAADQJSXGXVMWBWCOZAED/action/replication_record"}},"created_at":"2026-05-18T00:45:58.916503+00:00","updated_at":"2026-05-18T00:45:58.916503+00:00"}