{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ZFCSKGV5BWYGK7PPT22PI3TUW2","short_pith_number":"pith:ZFCSKGV5","canonical_record":{"source":{"id":"1603.09146","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-30T12:07:49Z","cross_cats_sorted":[],"title_canon_sha256":"18a35c9c0a914e17573feb12c730ed44ae66fa02f197399ffc05e3511692c4af","abstract_canon_sha256":"e701d43da0c72bed9028429080faeb9149b797e107960529831aebed88bb413e"},"schema_version":"1.0"},"canonical_sha256":"c945251abd0db0657def9eb4f46e74b695caeb7c76a5df3baa8b3cc409ee0e5f","source":{"kind":"arxiv","id":"1603.09146","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.09146","created_at":"2026-05-18T01:08:10Z"},{"alias_kind":"arxiv_version","alias_value":"1603.09146v1","created_at":"2026-05-18T01:08:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.09146","created_at":"2026-05-18T01:08:10Z"},{"alias_kind":"pith_short_12","alias_value":"ZFCSKGV5BWYG","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZFCSKGV5BWYGK7PP","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZFCSKGV5","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ZFCSKGV5BWYGK7PPT22PI3TUW2","target":"record","payload":{"canonical_record":{"source":{"id":"1603.09146","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-30T12:07:49Z","cross_cats_sorted":[],"title_canon_sha256":"18a35c9c0a914e17573feb12c730ed44ae66fa02f197399ffc05e3511692c4af","abstract_canon_sha256":"e701d43da0c72bed9028429080faeb9149b797e107960529831aebed88bb413e"},"schema_version":"1.0"},"canonical_sha256":"c945251abd0db0657def9eb4f46e74b695caeb7c76a5df3baa8b3cc409ee0e5f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:10.127184Z","signature_b64":"rt0RIeQNDJ0rlDkYfGxgsckT3xtIRGofUT3B1qH0krQQI56PLCUrUl7kVZvrgrjaoNae89Bgero5Mt76AhxeDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c945251abd0db0657def9eb4f46e74b695caeb7c76a5df3baa8b3cc409ee0e5f","last_reissued_at":"2026-05-18T01:08:10.126654Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:10.126654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.09146","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":"2026-05-18T01:08:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tHruii0iBbsT6FeHSnSaNMlX6UoAAa5eB4fA88RBXz/xc3YmK7EwA1DXa67Ko9gz9WG/ojoEPynjst+4/aGyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:59:25.160462Z"},"content_sha256":"d202643ce0bf6b6917fa6ab8ced15bddd24b5daaaab670751727e6dbce6c8b81","schema_version":"1.0","event_id":"sha256:d202643ce0bf6b6917fa6ab8ced15bddd24b5daaaab670751727e6dbce6c8b81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ZFCSKGV5BWYGK7PPT22PI3TUW2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"K\\\"{a}hler structure in the commutative limit of matrix geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Goro Ishiki, Hisayoshi Muraki, Takaki Matsumoto","submitted_at":"2016-03-30T12:07:49Z","abstract_excerpt":"We consider the commutative limit of matrix geometry described by a large-$N$ sequence of some Hermitian matrices. Under some assumptions, we show that the commutative geometry possesses a K\\\"{a}hler structure. We find an explicit relation between the K\\\"{a}hler structure and the matrix configurations which define the matrix geometry. We also find a relation between the matrix configurations and those obtained from the geometric quantization."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.09146","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":"2026-05-18T01:08:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rW2Mxec3s/MIs4ulQmDP422T2ktmCpclyK+WRse8bQlLkI6t+8SbECR6MjxBHiIZIL++AjMUYQq6gvbJGrtMDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:59:25.160809Z"},"content_sha256":"9f9aeaac65a4276c02f9fa30ac9c03db1883cfeecce7791498a097705af96fa1","schema_version":"1.0","event_id":"sha256:9f9aeaac65a4276c02f9fa30ac9c03db1883cfeecce7791498a097705af96fa1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZFCSKGV5BWYGK7PPT22PI3TUW2/bundle.json","state_url":"https://pith.science/pith/ZFCSKGV5BWYGK7PPT22PI3TUW2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZFCSKGV5BWYGK7PPT22PI3TUW2/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":"2026-06-01T16:59:25Z","links":{"resolver":"https://pith.science/pith/ZFCSKGV5BWYGK7PPT22PI3TUW2","bundle":"https://pith.science/pith/ZFCSKGV5BWYGK7PPT22PI3TUW2/bundle.json","state":"https://pith.science/pith/ZFCSKGV5BWYGK7PPT22PI3TUW2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZFCSKGV5BWYGK7PPT22PI3TUW2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZFCSKGV5BWYGK7PPT22PI3TUW2","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":"e701d43da0c72bed9028429080faeb9149b797e107960529831aebed88bb413e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-30T12:07:49Z","title_canon_sha256":"18a35c9c0a914e17573feb12c730ed44ae66fa02f197399ffc05e3511692c4af"},"schema_version":"1.0","source":{"id":"1603.09146","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.09146","created_at":"2026-05-18T01:08:10Z"},{"alias_kind":"arxiv_version","alias_value":"1603.09146v1","created_at":"2026-05-18T01:08:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.09146","created_at":"2026-05-18T01:08:10Z"},{"alias_kind":"pith_short_12","alias_value":"ZFCSKGV5BWYG","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZFCSKGV5BWYGK7PP","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZFCSKGV5","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:9f9aeaac65a4276c02f9fa30ac9c03db1883cfeecce7791498a097705af96fa1","target":"graph","created_at":"2026-05-18T01:08:10Z","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 the commutative limit of matrix geometry described by a large-$N$ sequence of some Hermitian matrices. Under some assumptions, we show that the commutative geometry possesses a K\\\"{a}hler structure. We find an explicit relation between the K\\\"{a}hler structure and the matrix configurations which define the matrix geometry. We also find a relation between the matrix configurations and those obtained from the geometric quantization.","authors_text":"Goro Ishiki, Hisayoshi Muraki, Takaki Matsumoto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-30T12:07:49Z","title":"K\\\"{a}hler structure in the commutative limit of matrix geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.09146","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:d202643ce0bf6b6917fa6ab8ced15bddd24b5daaaab670751727e6dbce6c8b81","target":"record","created_at":"2026-05-18T01:08:10Z","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":"e701d43da0c72bed9028429080faeb9149b797e107960529831aebed88bb413e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-30T12:07:49Z","title_canon_sha256":"18a35c9c0a914e17573feb12c730ed44ae66fa02f197399ffc05e3511692c4af"},"schema_version":"1.0","source":{"id":"1603.09146","kind":"arxiv","version":1}},"canonical_sha256":"c945251abd0db0657def9eb4f46e74b695caeb7c76a5df3baa8b3cc409ee0e5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c945251abd0db0657def9eb4f46e74b695caeb7c76a5df3baa8b3cc409ee0e5f","first_computed_at":"2026-05-18T01:08:10.126654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:10.126654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rt0RIeQNDJ0rlDkYfGxgsckT3xtIRGofUT3B1qH0krQQI56PLCUrUl7kVZvrgrjaoNae89Bgero5Mt76AhxeDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:10.127184Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.09146","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d202643ce0bf6b6917fa6ab8ced15bddd24b5daaaab670751727e6dbce6c8b81","sha256:9f9aeaac65a4276c02f9fa30ac9c03db1883cfeecce7791498a097705af96fa1"],"state_sha256":"daaba8c6f6e46b56aa1cd2472c8d241d4f005b6aa2cc5509343761c0bee55434"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9mxygM7T0gCES/9QgKyfX2rWq+Oaw82ZxsUerCO9XZ8qD5jHxhuWvDwAP1ZTMHNffHk35iNYTNM6a2wCqBwvDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:59:25.162731Z","bundle_sha256":"56896b2d761c8a45b0ff548a79f2f62a3515d1b20a1cbba0f08623c2c2531510"}}