{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:KXMZZMZSUYI3E2YNZ7KGKLLIVO","short_pith_number":"pith:KXMZZMZS","canonical_record":{"source":{"id":"1307.5907","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-22T22:54:19Z","cross_cats_sorted":["hep-th","math.MP","math.OA"],"title_canon_sha256":"c9c4cc480dff42f90a7e6e241e9337cb9a8a29f4cfcf94bd66bebfc3b98c5579","abstract_canon_sha256":"04f83c3895b346e436c118aa7049d82f3566cf00d5dbbc874081d133521a83ab"},"schema_version":"1.0"},"canonical_sha256":"55d99cb332a611b26b0dcfd4652d68abb0d3bad6e52e3a75f4a611392a35acf4","source":{"kind":"arxiv","id":"1307.5907","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.5907","created_at":"2026-05-18T02:38:26Z"},{"alias_kind":"arxiv_version","alias_value":"1307.5907v2","created_at":"2026-05-18T02:38:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5907","created_at":"2026-05-18T02:38:26Z"},{"alias_kind":"pith_short_12","alias_value":"KXMZZMZSUYI3","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KXMZZMZSUYI3E2YN","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KXMZZMZS","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:KXMZZMZSUYI3E2YNZ7KGKLLIVO","target":"record","payload":{"canonical_record":{"source":{"id":"1307.5907","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-22T22:54:19Z","cross_cats_sorted":["hep-th","math.MP","math.OA"],"title_canon_sha256":"c9c4cc480dff42f90a7e6e241e9337cb9a8a29f4cfcf94bd66bebfc3b98c5579","abstract_canon_sha256":"04f83c3895b346e436c118aa7049d82f3566cf00d5dbbc874081d133521a83ab"},"schema_version":"1.0"},"canonical_sha256":"55d99cb332a611b26b0dcfd4652d68abb0d3bad6e52e3a75f4a611392a35acf4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:26.655785Z","signature_b64":"cZ7FUq+RcTAvNsrXcCwzquY/Kf/keVMdbHqwcmLnsFX3GKxnNVR6iiwSIULsVfZzNICZz1Av9KL4EiWPNTDhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55d99cb332a611b26b0dcfd4652d68abb0d3bad6e52e3a75f4a611392a35acf4","last_reissued_at":"2026-05-18T02:38:26.655188Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:26.655188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.5907","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:38:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tzzlzj/tDW0jxzjNnO3hf7FJnUGLlW/n9tTHLeb4eiDYTKCaLx5ZqudsQzi2DTYHHsq774pTtM8K5QENlbhcDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T19:58:20.475139Z"},"content_sha256":"7f550b70d0aaccfcbd40b2b97adbf17bfa7eb5d1a661e415cc1e297098879ad5","schema_version":"1.0","event_id":"sha256:7f550b70d0aaccfcbd40b2b97adbf17bfa7eb5d1a661e415cc1e297098879ad5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:KXMZZMZSUYI3E2YNZ7KGKLLIVO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Matrix Geometries Emergent from a Point","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","math.OA"],"primary_cat":"math-ph","authors_text":"Fedele Lizzi, Francesco D'Andrea, Pierre Martinetti","submitted_at":"2013-07-22T22:54:19Z","abstract_excerpt":"We describe a categorical approach to finite noncommutative geometries. Objects in the category are spectral triples, rather than unitary equivalence classes as in other approaches. This enables to treat fluctuations of the metric and unitary equivalences on the same footing, as representatives of particular morphisms in this category. We then show how a matrix geometry (Moyal plane) emerges as a fluctuation from one point, and discuss some geometric aspects of this space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5907","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:38:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ks5uGMBfG/OGKSO/vL/MTbNd4GKhznlqomiDe+/b3DwqG3OvOIy8LFcteveWeUSdRihKHKgwaLeyHqp5foyzBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T19:58:20.475800Z"},"content_sha256":"2d8cb7e569139d51eccdce786904d65b541b20fe486ddd0104b643569a35836b","schema_version":"1.0","event_id":"sha256:2d8cb7e569139d51eccdce786904d65b541b20fe486ddd0104b643569a35836b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KXMZZMZSUYI3E2YNZ7KGKLLIVO/bundle.json","state_url":"https://pith.science/pith/KXMZZMZSUYI3E2YNZ7KGKLLIVO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KXMZZMZSUYI3E2YNZ7KGKLLIVO/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":"2026-05-29T19:58:20Z","links":{"resolver":"https://pith.science/pith/KXMZZMZSUYI3E2YNZ7KGKLLIVO","bundle":"https://pith.science/pith/KXMZZMZSUYI3E2YNZ7KGKLLIVO/bundle.json","state":"https://pith.science/pith/KXMZZMZSUYI3E2YNZ7KGKLLIVO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KXMZZMZSUYI3E2YNZ7KGKLLIVO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KXMZZMZSUYI3E2YNZ7KGKLLIVO","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":"04f83c3895b346e436c118aa7049d82f3566cf00d5dbbc874081d133521a83ab","cross_cats_sorted":["hep-th","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-22T22:54:19Z","title_canon_sha256":"c9c4cc480dff42f90a7e6e241e9337cb9a8a29f4cfcf94bd66bebfc3b98c5579"},"schema_version":"1.0","source":{"id":"1307.5907","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.5907","created_at":"2026-05-18T02:38:26Z"},{"alias_kind":"arxiv_version","alias_value":"1307.5907v2","created_at":"2026-05-18T02:38:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5907","created_at":"2026-05-18T02:38:26Z"},{"alias_kind":"pith_short_12","alias_value":"KXMZZMZSUYI3","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KXMZZMZSUYI3E2YN","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KXMZZMZS","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:2d8cb7e569139d51eccdce786904d65b541b20fe486ddd0104b643569a35836b","target":"graph","created_at":"2026-05-18T02:38:26Z","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 describe a categorical approach to finite noncommutative geometries. Objects in the category are spectral triples, rather than unitary equivalence classes as in other approaches. This enables to treat fluctuations of the metric and unitary equivalences on the same footing, as representatives of particular morphisms in this category. We then show how a matrix geometry (Moyal plane) emerges as a fluctuation from one point, and discuss some geometric aspects of this space.","authors_text":"Fedele Lizzi, Francesco D'Andrea, Pierre Martinetti","cross_cats":["hep-th","math.MP","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-22T22:54:19Z","title":"Matrix Geometries Emergent from a Point"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5907","kind":"arxiv","version":2},"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":"sha256:7f550b70d0aaccfcbd40b2b97adbf17bfa7eb5d1a661e415cc1e297098879ad5","target":"record","created_at":"2026-05-18T02:38:26Z","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":"04f83c3895b346e436c118aa7049d82f3566cf00d5dbbc874081d133521a83ab","cross_cats_sorted":["hep-th","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-22T22:54:19Z","title_canon_sha256":"c9c4cc480dff42f90a7e6e241e9337cb9a8a29f4cfcf94bd66bebfc3b98c5579"},"schema_version":"1.0","source":{"id":"1307.5907","kind":"arxiv","version":2}},"canonical_sha256":"55d99cb332a611b26b0dcfd4652d68abb0d3bad6e52e3a75f4a611392a35acf4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55d99cb332a611b26b0dcfd4652d68abb0d3bad6e52e3a75f4a611392a35acf4","first_computed_at":"2026-05-18T02:38:26.655188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:26.655188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cZ7FUq+RcTAvNsrXcCwzquY/Kf/keVMdbHqwcmLnsFX3GKxnNVR6iiwSIULsVfZzNICZz1Av9KL4EiWPNTDhBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:26.655785Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.5907","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f550b70d0aaccfcbd40b2b97adbf17bfa7eb5d1a661e415cc1e297098879ad5","sha256:2d8cb7e569139d51eccdce786904d65b541b20fe486ddd0104b643569a35836b"],"state_sha256":"912e5381dfb2d87e92d912abcd2bdf87e4b534729fa2a3d43ea5ff6fe3f969e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"38VN7Dv9as+yBA8WTvWEHYI98WPLT6j6Cwpb3HC3DcW9KnT1cMn+4vmoq3iKml8zpte8M6pMSY2sHzkJgKHKBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T19:58:20.479113Z","bundle_sha256":"d54d8e81c74e298e5c57acb7e833c61a6f669709c192f0fff845540d9d206fe4"}}