{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:X75MKLT4RYOBQ5J7SC63UJ2GPK","short_pith_number":"pith:X75MKLT4","canonical_record":{"source":{"id":"1311.4666","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-11-19T09:22:58Z","cross_cats_sorted":[],"title_canon_sha256":"080ce330fc19bf0005ef5353babd97e477c29e825649d0ae9b56a7d3c24a5672","abstract_canon_sha256":"82f64da36955b0c0ad2693112ada34306e5c5edea93f1e4018e0fb9bcb3a6a47"},"schema_version":"1.0"},"canonical_sha256":"bffac52e7c8e1c18753f90bdba27467ab9ac34de6f2ec21e6b0c34b3c94269f5","source":{"kind":"arxiv","id":"1311.4666","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4666","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4666v1","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4666","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"X75MKLT4RYOB","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"X75MKLT4RYOBQ5J7","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"X75MKLT4","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:X75MKLT4RYOBQ5J7SC63UJ2GPK","target":"record","payload":{"canonical_record":{"source":{"id":"1311.4666","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-11-19T09:22:58Z","cross_cats_sorted":[],"title_canon_sha256":"080ce330fc19bf0005ef5353babd97e477c29e825649d0ae9b56a7d3c24a5672","abstract_canon_sha256":"82f64da36955b0c0ad2693112ada34306e5c5edea93f1e4018e0fb9bcb3a6a47"},"schema_version":"1.0"},"canonical_sha256":"bffac52e7c8e1c18753f90bdba27467ab9ac34de6f2ec21e6b0c34b3c94269f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:34.251243Z","signature_b64":"so1pU4KYgB1KpQNyaIpob66v0F2xwwno55Qiivrh1qMoVTlH1SzRBEwkYQur7pqcZdJGjkKvdgQIsaUaEncgAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bffac52e7c8e1c18753f90bdba27467ab9ac34de6f2ec21e6b0c34b3c94269f5","last_reissued_at":"2026-05-18T02:52:34.250720Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:34.250720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.4666","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":"2026-05-18T02:52:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7C2D8PuwuLbU+lH/7najexE+Vbt+KTWMsCtiZCqeSzkolj0Q1cfnqD4WwEja2SeAmhTqND9a5Fu7XEOWaDx5Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:18:20.597426Z"},"content_sha256":"e19b1edcffaa07b514130c8e6e8772110462b90fdd9bcb0d5accebba0c7dd4f8","schema_version":"1.0","event_id":"sha256:e19b1edcffaa07b514130c8e6e8772110462b90fdd9bcb0d5accebba0c7dd4f8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:X75MKLT4RYOBQ5J7SC63UJ2GPK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Supersymmetric Dirac Operator on the Noncommutative Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Atsuko Matsukawa, Hikaru Sato, Hironobu Kataoka, Masafumi Shimojo, Satoshi Ishihara","submitted_at":"2013-11-19T09:22:58Z","abstract_excerpt":"We extend naturally the spectral triple which define noncommutative geometry (NCG) in order to incorporate supersymmetry and obtain supersymmetric Dirac operator D_M which acts on Minkowskian manifold. Inversely, we can consider the projection which reducts D_M to $\\not{D}$, the Dirac operator of the original spectral triple. We investigate properties of the Dirac operator, some of which are inherited from the original Dirac operator. Z/2 grading and real structure are also supersymmetrically extended. Using supersymmetric invariant product, the kinematic terms of chiral and antichiral supermu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4666","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":"2026-05-18T02:52:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VsslJphkri/ClHIY+DvdiEUpviBR/7tGVVAMwbkEomYWnBs5kzMeyRQs+b4vMavP0kHiU4O/fonpYNgIkNEfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:18:20.597768Z"},"content_sha256":"11d78720acadafef8973f9b81ed657c84027a36a06f660c10aac76a79803a57d","schema_version":"1.0","event_id":"sha256:11d78720acadafef8973f9b81ed657c84027a36a06f660c10aac76a79803a57d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X75MKLT4RYOBQ5J7SC63UJ2GPK/bundle.json","state_url":"https://pith.science/pith/X75MKLT4RYOBQ5J7SC63UJ2GPK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X75MKLT4RYOBQ5J7SC63UJ2GPK/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":"2026-06-01T22:18:20Z","links":{"resolver":"https://pith.science/pith/X75MKLT4RYOBQ5J7SC63UJ2GPK","bundle":"https://pith.science/pith/X75MKLT4RYOBQ5J7SC63UJ2GPK/bundle.json","state":"https://pith.science/pith/X75MKLT4RYOBQ5J7SC63UJ2GPK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X75MKLT4RYOBQ5J7SC63UJ2GPK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:X75MKLT4RYOBQ5J7SC63UJ2GPK","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":"82f64da36955b0c0ad2693112ada34306e5c5edea93f1e4018e0fb9bcb3a6a47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-11-19T09:22:58Z","title_canon_sha256":"080ce330fc19bf0005ef5353babd97e477c29e825649d0ae9b56a7d3c24a5672"},"schema_version":"1.0","source":{"id":"1311.4666","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4666","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4666v1","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4666","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"X75MKLT4RYOB","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"X75MKLT4RYOBQ5J7","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"X75MKLT4","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:11d78720acadafef8973f9b81ed657c84027a36a06f660c10aac76a79803a57d","target":"graph","created_at":"2026-05-18T02:52:34Z","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 extend naturally the spectral triple which define noncommutative geometry (NCG) in order to incorporate supersymmetry and obtain supersymmetric Dirac operator D_M which acts on Minkowskian manifold. Inversely, we can consider the projection which reducts D_M to $\\not{D}$, the Dirac operator of the original spectral triple. We investigate properties of the Dirac operator, some of which are inherited from the original Dirac operator. Z/2 grading and real structure are also supersymmetrically extended. Using supersymmetric invariant product, the kinematic terms of chiral and antichiral supermu","authors_text":"Atsuko Matsukawa, Hikaru Sato, Hironobu Kataoka, Masafumi Shimojo, Satoshi Ishihara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-11-19T09:22:58Z","title":"Supersymmetric Dirac Operator on the Noncommutative Geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4666","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:e19b1edcffaa07b514130c8e6e8772110462b90fdd9bcb0d5accebba0c7dd4f8","target":"record","created_at":"2026-05-18T02:52:34Z","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":"82f64da36955b0c0ad2693112ada34306e5c5edea93f1e4018e0fb9bcb3a6a47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-11-19T09:22:58Z","title_canon_sha256":"080ce330fc19bf0005ef5353babd97e477c29e825649d0ae9b56a7d3c24a5672"},"schema_version":"1.0","source":{"id":"1311.4666","kind":"arxiv","version":1}},"canonical_sha256":"bffac52e7c8e1c18753f90bdba27467ab9ac34de6f2ec21e6b0c34b3c94269f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bffac52e7c8e1c18753f90bdba27467ab9ac34de6f2ec21e6b0c34b3c94269f5","first_computed_at":"2026-05-18T02:52:34.250720Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:34.250720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"so1pU4KYgB1KpQNyaIpob66v0F2xwwno55Qiivrh1qMoVTlH1SzRBEwkYQur7pqcZdJGjkKvdgQIsaUaEncgAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:34.251243Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.4666","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e19b1edcffaa07b514130c8e6e8772110462b90fdd9bcb0d5accebba0c7dd4f8","sha256:11d78720acadafef8973f9b81ed657c84027a36a06f660c10aac76a79803a57d"],"state_sha256":"df6c6b5e1e5b374a06c36a339871907a40384f417117e2fe6f64d45075ca3cfc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6O+VIen1r0FzEy9yhJjxvw/W+9FY++2ARTXzNMHLbtFS12FKHkm4cNHWcblh7O6M7+M31ClAOd13c0pebzaqAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T22:18:20.599682Z","bundle_sha256":"7a2f7b38395b69ce6ec4bd18a3fbcd2414992daed6b354030939c2381e037f4d"}}