{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:EQZY45EHFIZLKGI7BY3XLYZXEK","short_pith_number":"pith:EQZY45EH","canonical_record":{"source":{"id":"math/0111202","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2001-11-19T04:03:54Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"f52a5f8f1cbed337756dc079dbb36ed5b3e164efe364dbb4471df1d289231aba","abstract_canon_sha256":"7d6b6c71f5fd16ede2e95f79371cf528dd0fd18ec2d7af5e8807a12d40d13e95"},"schema_version":"1.0"},"canonical_sha256":"24338e74872a32b5191f0e3775e33722aa58e0c2c161d1a421ba0d0a9575c7e5","source":{"kind":"arxiv","id":"math/0111202","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0111202","created_at":"2026-07-04T14:35:45Z"},{"alias_kind":"arxiv_version","alias_value":"math/0111202v1","created_at":"2026-07-04T14:35:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0111202","created_at":"2026-07-04T14:35:45Z"},{"alias_kind":"pith_short_12","alias_value":"EQZY45EHFIZL","created_at":"2026-07-04T14:35:45Z"},{"alias_kind":"pith_short_16","alias_value":"EQZY45EHFIZLKGI7","created_at":"2026-07-04T14:35:45Z"},{"alias_kind":"pith_short_8","alias_value":"EQZY45EH","created_at":"2026-07-04T14:35:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:EQZY45EHFIZLKGI7BY3XLYZXEK","target":"record","payload":{"canonical_record":{"source":{"id":"math/0111202","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2001-11-19T04:03:54Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"f52a5f8f1cbed337756dc079dbb36ed5b3e164efe364dbb4471df1d289231aba","abstract_canon_sha256":"7d6b6c71f5fd16ede2e95f79371cf528dd0fd18ec2d7af5e8807a12d40d13e95"},"schema_version":"1.0"},"canonical_sha256":"24338e74872a32b5191f0e3775e33722aa58e0c2c161d1a421ba0d0a9575c7e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:35:45.731801Z","signature_b64":"1QbkZfENeTCIGJDV5BuzG9OiNGvFSKpmClle8VbPCQR061keQR/31/HBBI/S7O2FdeYVoL85AxT02w7YuR+rDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24338e74872a32b5191f0e3775e33722aa58e0c2c161d1a421ba0d0a9575c7e5","last_reissued_at":"2026-07-04T14:35:45.731382Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:35:45.731382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0111202","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":"2026-07-04T14:35:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m5jzGtWmladD/Y9vKv5GXpjvW3LYHWrZBvx723YV0JZ6p+3pRcQIiKyYHrPygoH4dULv+nCvwoEVq5VhzO/IBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T21:19:05.447875Z"},"content_sha256":"c3d54d77d24714c94e750d75fb10031b0ea3572211be6409758e146c71f6d3d9","schema_version":"1.0","event_id":"sha256:c3d54d77d24714c94e750d75fb10031b0ea3572211be6409758e146c71f6d3d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:EQZY45EHFIZLKGI7BY3XLYZXEK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hyperbolic monopoles and holomorphic spheres","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Michael A. Singer, Michael K. Murray, Paul Norbury","submitted_at":"2001-11-19T04:03:54Z","abstract_excerpt":"We associate to an SU(2) hyperbolic monopole a holomorphic sphere embedded in projective space and use this to uncover various features of the monopole."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0111202","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0111202/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:35:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1XleIqPrbVKViOJUAn3vaqALbiYn+vBqQzf+WPrqegdYj5UgU2e7wWjgWtWhUJ0u1jSwdRr8zi7uBCLRNEdiDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T21:19:05.448372Z"},"content_sha256":"2ba7cd298a66e7ac087f70e23ba88ac197d5cae2ccd9a6d011db4c6d558072d5","schema_version":"1.0","event_id":"sha256:2ba7cd298a66e7ac087f70e23ba88ac197d5cae2ccd9a6d011db4c6d558072d5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EQZY45EHFIZLKGI7BY3XLYZXEK/bundle.json","state_url":"https://pith.science/pith/EQZY45EHFIZLKGI7BY3XLYZXEK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EQZY45EHFIZLKGI7BY3XLYZXEK/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":"2026-08-21T21:19:05Z","links":{"resolver":"https://pith.science/pith/EQZY45EHFIZLKGI7BY3XLYZXEK","bundle":"https://pith.science/pith/EQZY45EHFIZLKGI7BY3XLYZXEK/bundle.json","state":"https://pith.science/pith/EQZY45EHFIZLKGI7BY3XLYZXEK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EQZY45EHFIZLKGI7BY3XLYZXEK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:EQZY45EHFIZLKGI7BY3XLYZXEK","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":"7d6b6c71f5fd16ede2e95f79371cf528dd0fd18ec2d7af5e8807a12d40d13e95","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.DG","submitted_at":"2001-11-19T04:03:54Z","title_canon_sha256":"f52a5f8f1cbed337756dc079dbb36ed5b3e164efe364dbb4471df1d289231aba"},"schema_version":"1.0","source":{"id":"math/0111202","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0111202","created_at":"2026-07-04T14:35:45Z"},{"alias_kind":"arxiv_version","alias_value":"math/0111202v1","created_at":"2026-07-04T14:35:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0111202","created_at":"2026-07-04T14:35:45Z"},{"alias_kind":"pith_short_12","alias_value":"EQZY45EHFIZL","created_at":"2026-07-04T14:35:45Z"},{"alias_kind":"pith_short_16","alias_value":"EQZY45EHFIZLKGI7","created_at":"2026-07-04T14:35:45Z"},{"alias_kind":"pith_short_8","alias_value":"EQZY45EH","created_at":"2026-07-04T14:35:45Z"}],"graph_snapshots":[{"event_id":"sha256:2ba7cd298a66e7ac087f70e23ba88ac197d5cae2ccd9a6d011db4c6d558072d5","target":"graph","created_at":"2026-07-04T14:35:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0111202/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We associate to an SU(2) hyperbolic monopole a holomorphic sphere embedded in projective space and use this to uncover various features of the monopole.","authors_text":"Michael A. Singer, Michael K. Murray, Paul Norbury","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2001-11-19T04:03:54Z","title":"Hyperbolic monopoles and holomorphic spheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0111202","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:c3d54d77d24714c94e750d75fb10031b0ea3572211be6409758e146c71f6d3d9","target":"record","created_at":"2026-07-04T14:35:45Z","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":"7d6b6c71f5fd16ede2e95f79371cf528dd0fd18ec2d7af5e8807a12d40d13e95","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.DG","submitted_at":"2001-11-19T04:03:54Z","title_canon_sha256":"f52a5f8f1cbed337756dc079dbb36ed5b3e164efe364dbb4471df1d289231aba"},"schema_version":"1.0","source":{"id":"math/0111202","kind":"arxiv","version":1}},"canonical_sha256":"24338e74872a32b5191f0e3775e33722aa58e0c2c161d1a421ba0d0a9575c7e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24338e74872a32b5191f0e3775e33722aa58e0c2c161d1a421ba0d0a9575c7e5","first_computed_at":"2026-07-04T14:35:45.731382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:35:45.731382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1QbkZfENeTCIGJDV5BuzG9OiNGvFSKpmClle8VbPCQR061keQR/31/HBBI/S7O2FdeYVoL85AxT02w7YuR+rDg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:35:45.731801Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0111202","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3d54d77d24714c94e750d75fb10031b0ea3572211be6409758e146c71f6d3d9","sha256:2ba7cd298a66e7ac087f70e23ba88ac197d5cae2ccd9a6d011db4c6d558072d5"],"state_sha256":"c824690977e91b2142fd3d88b46e578a83ba603ad34105cb0667596d85f71ca0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mDrjcQAITOG4kbafHCAkfcm3w+qlO2uIKy4PkSeASBDqWkGGa8/8fU+cpvkGaflZyU5Hfx3VRxX83kBZJieHAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T21:19:05.453712Z","bundle_sha256":"0ec01d29883af858ebed76f1b3eb1c92cf064c0e3b08e3bdf9d031888be2f629"}}