{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AZWM76OHRSPUKT2SNHEK7ETGCJ","short_pith_number":"pith:AZWM76OH","canonical_record":{"source":{"id":"1302.5977","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-25T02:10:53Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"9773436d05701ff74239673a1008d4615e8838a7a5fd02d38be3b05d16840510","abstract_canon_sha256":"8fe59cb4803d3c20cdeb3ed57bf5bbdd842d134c721c02e940512322f7e180a1"},"schema_version":"1.0"},"canonical_sha256":"066ccff9c78c9f454f5269c8af9266127b5777b7ffb92e27ca62b1d2f07f8c5f","source":{"kind":"arxiv","id":"1302.5977","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5977","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5977v1","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5977","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"pith_short_12","alias_value":"AZWM76OHRSPU","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AZWM76OHRSPUKT2S","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AZWM76OH","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AZWM76OHRSPUKT2SNHEK7ETGCJ","target":"record","payload":{"canonical_record":{"source":{"id":"1302.5977","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-25T02:10:53Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"9773436d05701ff74239673a1008d4615e8838a7a5fd02d38be3b05d16840510","abstract_canon_sha256":"8fe59cb4803d3c20cdeb3ed57bf5bbdd842d134c721c02e940512322f7e180a1"},"schema_version":"1.0"},"canonical_sha256":"066ccff9c78c9f454f5269c8af9266127b5777b7ffb92e27ca62b1d2f07f8c5f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:32.998554Z","signature_b64":"TYXe82IUvQ/o3wE5q0iNInG5IpWDf6oG/NP/Xk7MhgwFH5C0n5wnhGUAsrkJDiSsHaqhFFrt5bJy/QdHYXBCDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"066ccff9c78c9f454f5269c8af9266127b5777b7ffb92e27ca62b1d2f07f8c5f","last_reissued_at":"2026-05-18T03:32:32.997917Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:32.997917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.5977","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":"2026-05-18T03:32:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9hH+pK+0CGZrELLh7V9IIkInagw7VWGskNNc8adNznybSHiIxLc2OUr/gc275SOthSonLKqLT8HgHs86kRj3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:20:19.548855Z"},"content_sha256":"47f021a8c9b4ae1811f8996ed9a5d8e25268ee32f2e32e73fe53c74b09adff1f","schema_version":"1.0","event_id":"sha256:47f021a8c9b4ae1811f8996ed9a5d8e25268ee32f2e32e73fe53c74b09adff1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AZWM76OHRSPUKT2SNHEK7ETGCJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local mean dimension of ASD moduli spaces over the cylinder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.DG","authors_text":"Masaki Tsukamoto, Shinichiroh Matsuo","submitted_at":"2013-02-25T02:10:53Z","abstract_excerpt":"We study an infinite dimensional ASD moduli space over the cylinder. Our main result is the formula of its local mean dimension. A key ingredient of the argument is the notion of non-degenerate ASD connections. We develop its deformation theory and show that there exist sufficiently many non-degenerate ASD connections by using the method of gluing infinitely many instantons."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5977","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":"2026-05-18T03:32:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wr7KueYDEv7E9OMHn5/Gt1ZO8SbBbYE1XIqOcjG4mHaKDD+wB9haFB5kukfa0KuYSKUp8TfTKxrgHWulk3WbAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:20:19.549200Z"},"content_sha256":"42a6cec64046c2e25bae63ab46845c628a5ced1a6be28c931dcf03bc9af84ed5","schema_version":"1.0","event_id":"sha256:42a6cec64046c2e25bae63ab46845c628a5ced1a6be28c931dcf03bc9af84ed5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AZWM76OHRSPUKT2SNHEK7ETGCJ/bundle.json","state_url":"https://pith.science/pith/AZWM76OHRSPUKT2SNHEK7ETGCJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AZWM76OHRSPUKT2SNHEK7ETGCJ/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":"2026-06-01T22:20:19Z","links":{"resolver":"https://pith.science/pith/AZWM76OHRSPUKT2SNHEK7ETGCJ","bundle":"https://pith.science/pith/AZWM76OHRSPUKT2SNHEK7ETGCJ/bundle.json","state":"https://pith.science/pith/AZWM76OHRSPUKT2SNHEK7ETGCJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AZWM76OHRSPUKT2SNHEK7ETGCJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AZWM76OHRSPUKT2SNHEK7ETGCJ","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":"8fe59cb4803d3c20cdeb3ed57bf5bbdd842d134c721c02e940512322f7e180a1","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-25T02:10:53Z","title_canon_sha256":"9773436d05701ff74239673a1008d4615e8838a7a5fd02d38be3b05d16840510"},"schema_version":"1.0","source":{"id":"1302.5977","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5977","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5977v1","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5977","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"pith_short_12","alias_value":"AZWM76OHRSPU","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AZWM76OHRSPUKT2S","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AZWM76OH","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:42a6cec64046c2e25bae63ab46845c628a5ced1a6be28c931dcf03bc9af84ed5","target":"graph","created_at":"2026-05-18T03:32:32Z","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 study an infinite dimensional ASD moduli space over the cylinder. Our main result is the formula of its local mean dimension. A key ingredient of the argument is the notion of non-degenerate ASD connections. We develop its deformation theory and show that there exist sufficiently many non-degenerate ASD connections by using the method of gluing infinitely many instantons.","authors_text":"Masaki Tsukamoto, Shinichiroh Matsuo","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-25T02:10:53Z","title":"Local mean dimension of ASD moduli spaces over the cylinder"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5977","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":"sha256:47f021a8c9b4ae1811f8996ed9a5d8e25268ee32f2e32e73fe53c74b09adff1f","target":"record","created_at":"2026-05-18T03:32:32Z","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":"8fe59cb4803d3c20cdeb3ed57bf5bbdd842d134c721c02e940512322f7e180a1","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-25T02:10:53Z","title_canon_sha256":"9773436d05701ff74239673a1008d4615e8838a7a5fd02d38be3b05d16840510"},"schema_version":"1.0","source":{"id":"1302.5977","kind":"arxiv","version":1}},"canonical_sha256":"066ccff9c78c9f454f5269c8af9266127b5777b7ffb92e27ca62b1d2f07f8c5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"066ccff9c78c9f454f5269c8af9266127b5777b7ffb92e27ca62b1d2f07f8c5f","first_computed_at":"2026-05-18T03:32:32.997917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:32.997917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TYXe82IUvQ/o3wE5q0iNInG5IpWDf6oG/NP/Xk7MhgwFH5C0n5wnhGUAsrkJDiSsHaqhFFrt5bJy/QdHYXBCDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:32.998554Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.5977","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47f021a8c9b4ae1811f8996ed9a5d8e25268ee32f2e32e73fe53c74b09adff1f","sha256:42a6cec64046c2e25bae63ab46845c628a5ced1a6be28c931dcf03bc9af84ed5"],"state_sha256":"ff3f915a525e6ac18d984a57e14905b94c254368dd661e879c27809d223eb95d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eKTvsWiHvv8B3w4ARhW3HQgAfzSY9U03HQ3d3B+4iLw4GPOHTWIDxzCRRdd6CpFF14fQiyQOr4jBb/2D2l+xAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T22:20:19.551128Z","bundle_sha256":"cc1069bf40bcf5c6ce43d9ad07f3bd8fda83c9b8ed174bf4d096a7b0a47dcaa3"}}