{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:DCNTCFXLX3NB4XXP2BFJOMWG6N","short_pith_number":"pith:DCNTCFXL","canonical_record":{"source":{"id":"1412.4050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-12-12T16:52:26Z","cross_cats_sorted":["math.AG","math.MP"],"title_canon_sha256":"56dd475b4512a3d2ece88b168bd0ed50f7997cacb47204d6fd3a014049fce545","abstract_canon_sha256":"4e53a069ce0a91b8a54c98b840b83c62875294013bb7392531e7b144991fca1f"},"schema_version":"1.0"},"canonical_sha256":"189b3116ebbeda1e5eefd04a9732c6f376897de58467bc1e549e33549ed0e4f7","source":{"kind":"arxiv","id":"1412.4050","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4050","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4050v1","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4050","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"pith_short_12","alias_value":"DCNTCFXLX3NB","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DCNTCFXLX3NB4XXP","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DCNTCFXL","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:DCNTCFXLX3NB4XXP2BFJOMWG6N","target":"record","payload":{"canonical_record":{"source":{"id":"1412.4050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-12-12T16:52:26Z","cross_cats_sorted":["math.AG","math.MP"],"title_canon_sha256":"56dd475b4512a3d2ece88b168bd0ed50f7997cacb47204d6fd3a014049fce545","abstract_canon_sha256":"4e53a069ce0a91b8a54c98b840b83c62875294013bb7392531e7b144991fca1f"},"schema_version":"1.0"},"canonical_sha256":"189b3116ebbeda1e5eefd04a9732c6f376897de58467bc1e549e33549ed0e4f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:46.021821Z","signature_b64":"F8Dz8WT6dz58opiMPl+szIOyhx3d/WEDzaRmot+Wa2SU5b6bn/vGmLic1RK+vWAAQVZQV58pgKQ0BEMcWrbFCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"189b3116ebbeda1e5eefd04a9732c6f376897de58467bc1e549e33549ed0e4f7","last_reissued_at":"2026-05-18T01:31:46.021237Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:46.021237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.4050","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":"2026-05-18T01:31:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5TAwFhRPMULmU9WAxuNctlUpuqZCPv4taUAcZz9woRWVGgdVd/AHtfyBMH47Lk1O9vutxJtn5rXe1NtXikW3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:56:16.412530Z"},"content_sha256":"1c8be46bda744251b8221191fc3038c8dc6e96d544abf894a5c13bd1fd67a2ea","schema_version":"1.0","event_id":"sha256:1c8be46bda744251b8221191fc3038c8dc6e96d544abf894a5c13bd1fd67a2ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:DCNTCFXLX3NB4XXP2BFJOMWG6N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Monopoles on Sasakian Three-folds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.MP"],"primary_cat":"math-ph","authors_text":"Indranil Biswas, Jacques Hurtubise","submitted_at":"2014-12-12T16:52:26Z","abstract_excerpt":"We consider monopoles with singularities of Dirac type on quasiregular Sasakian three-folds fibering over a compact Riemann surface $\\Sigma$, for example the Hopf fibration $S^3\\longrightarrow S^2$. We show that these correspond to holomorphic objects on $\\Sigma$, which we call twisted bundle triples. These are somewhat similar to Murray's bundle gerbes. A spectral curve construction allows us to classify these structures, and, conjecturally, monopoles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4050","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":"2026-05-18T01:31:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QM6PA4xat9xJnAxHaOTSfpfo3CKY0+FaUsVscq+4qndGp79ZRp3pQNSA53QVzlAV1BYz1OaOiHpon1kjsa2lAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:56:16.412878Z"},"content_sha256":"b5bcc431533aa6c1622e577d7f705b62e16d4c4f77be2f877449caf75293454e","schema_version":"1.0","event_id":"sha256:b5bcc431533aa6c1622e577d7f705b62e16d4c4f77be2f877449caf75293454e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DCNTCFXLX3NB4XXP2BFJOMWG6N/bundle.json","state_url":"https://pith.science/pith/DCNTCFXLX3NB4XXP2BFJOMWG6N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DCNTCFXLX3NB4XXP2BFJOMWG6N/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":"2026-06-02T13:56:16Z","links":{"resolver":"https://pith.science/pith/DCNTCFXLX3NB4XXP2BFJOMWG6N","bundle":"https://pith.science/pith/DCNTCFXLX3NB4XXP2BFJOMWG6N/bundle.json","state":"https://pith.science/pith/DCNTCFXLX3NB4XXP2BFJOMWG6N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DCNTCFXLX3NB4XXP2BFJOMWG6N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DCNTCFXLX3NB4XXP2BFJOMWG6N","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":"4e53a069ce0a91b8a54c98b840b83c62875294013bb7392531e7b144991fca1f","cross_cats_sorted":["math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-12-12T16:52:26Z","title_canon_sha256":"56dd475b4512a3d2ece88b168bd0ed50f7997cacb47204d6fd3a014049fce545"},"schema_version":"1.0","source":{"id":"1412.4050","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4050","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4050v1","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4050","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"pith_short_12","alias_value":"DCNTCFXLX3NB","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DCNTCFXLX3NB4XXP","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DCNTCFXL","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:b5bcc431533aa6c1622e577d7f705b62e16d4c4f77be2f877449caf75293454e","target":"graph","created_at":"2026-05-18T01:31:46Z","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 consider monopoles with singularities of Dirac type on quasiregular Sasakian three-folds fibering over a compact Riemann surface $\\Sigma$, for example the Hopf fibration $S^3\\longrightarrow S^2$. We show that these correspond to holomorphic objects on $\\Sigma$, which we call twisted bundle triples. These are somewhat similar to Murray's bundle gerbes. A spectral curve construction allows us to classify these structures, and, conjecturally, monopoles.","authors_text":"Indranil Biswas, Jacques Hurtubise","cross_cats":["math.AG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-12-12T16:52:26Z","title":"Monopoles on Sasakian Three-folds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4050","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":"sha256:1c8be46bda744251b8221191fc3038c8dc6e96d544abf894a5c13bd1fd67a2ea","target":"record","created_at":"2026-05-18T01:31:46Z","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":"4e53a069ce0a91b8a54c98b840b83c62875294013bb7392531e7b144991fca1f","cross_cats_sorted":["math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-12-12T16:52:26Z","title_canon_sha256":"56dd475b4512a3d2ece88b168bd0ed50f7997cacb47204d6fd3a014049fce545"},"schema_version":"1.0","source":{"id":"1412.4050","kind":"arxiv","version":1}},"canonical_sha256":"189b3116ebbeda1e5eefd04a9732c6f376897de58467bc1e549e33549ed0e4f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"189b3116ebbeda1e5eefd04a9732c6f376897de58467bc1e549e33549ed0e4f7","first_computed_at":"2026-05-18T01:31:46.021237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:46.021237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F8Dz8WT6dz58opiMPl+szIOyhx3d/WEDzaRmot+Wa2SU5b6bn/vGmLic1RK+vWAAQVZQV58pgKQ0BEMcWrbFCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:46.021821Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.4050","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c8be46bda744251b8221191fc3038c8dc6e96d544abf894a5c13bd1fd67a2ea","sha256:b5bcc431533aa6c1622e577d7f705b62e16d4c4f77be2f877449caf75293454e"],"state_sha256":"a0cac22c6582bd0ea6c3a2acc2fb491ac8cb3ce38e944968d801541891e88267"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CkqPVyWvndcMQ6vPD8KpByo0e+HVjXLiBiQDC80Woa5K0i/fBgjbvX/9ocMkSx8OwQqCqLYaI2/36Es81xZnBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T13:56:16.414752Z","bundle_sha256":"75ff505fec2eeaa7ef841786317331aebe77ab7e1fedd8d1b7e6a9db5269602a"}}