{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:UM2VRH5HVBWN3FLFE3UTZDLH4X","short_pith_number":"pith:UM2VRH5H","canonical_record":{"source":{"id":"2504.05940","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-08T11:55:46Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a57cd15a330ffc02e6a23cffe93e018df53d41fb9d35f2bff847577bc91494d3","abstract_canon_sha256":"9407c4822c482fa176caf25f2751f63fc73bf4c5fc03595fce0abc7a782e938a"},"schema_version":"1.0"},"canonical_sha256":"a335589fa7a86cdd956526e93c8d67e5df17b0451006c93f39772b12327f3b0f","source":{"kind":"arxiv","id":"2504.05940","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.05940","created_at":"2026-06-01T01:02:15Z"},{"alias_kind":"arxiv_version","alias_value":"2504.05940v2","created_at":"2026-06-01T01:02:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.05940","created_at":"2026-06-01T01:02:15Z"},{"alias_kind":"pith_short_12","alias_value":"UM2VRH5HVBWN","created_at":"2026-06-01T01:02:15Z"},{"alias_kind":"pith_short_16","alias_value":"UM2VRH5HVBWN3FLF","created_at":"2026-06-01T01:02:15Z"},{"alias_kind":"pith_short_8","alias_value":"UM2VRH5H","created_at":"2026-06-01T01:02:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:UM2VRH5HVBWN3FLFE3UTZDLH4X","target":"record","payload":{"canonical_record":{"source":{"id":"2504.05940","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-08T11:55:46Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a57cd15a330ffc02e6a23cffe93e018df53d41fb9d35f2bff847577bc91494d3","abstract_canon_sha256":"9407c4822c482fa176caf25f2751f63fc73bf4c5fc03595fce0abc7a782e938a"},"schema_version":"1.0"},"canonical_sha256":"a335589fa7a86cdd956526e93c8d67e5df17b0451006c93f39772b12327f3b0f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-01T01:02:15.753907Z","signature_b64":"/RyCatmEghsB0QFq8lsHtfVTHAHthC1zndTVku7ko/KJORgvoABlpPSWdpFYRxoYoP8gegUg2jLJBq4ooWFPAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a335589fa7a86cdd956526e93c8d67e5df17b0451006c93f39772b12327f3b0f","last_reissued_at":"2026-06-01T01:02:15.752765Z","signature_status":"signed_v1","first_computed_at":"2026-06-01T01:02:15.752765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.05940","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":"2026-06-01T01:02:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m/hyBrytyKp0tIIM0VNsh8ruYmI8OAZj56wEFLRRV+xIX3MPq4io0TDAMHBFK9PgR5/CQwK/zaI+sWblgv4gDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T06:43:00.866856Z"},"content_sha256":"5ea362e9b732ea6262c45a58becfa86ad11a836ad13121b297f48de7d6c8db29","schema_version":"1.0","event_id":"sha256:5ea362e9b732ea6262c45a58becfa86ad11a836ad13121b297f48de7d6c8db29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:UM2VRH5HVBWN3FLFE3UTZDLH4X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Lorentz Covariant Matrix Model for Bosonic M2-Branes: Nambu Brackets and Restricted Volume-Preserving Deformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"So Katagiri","submitted_at":"2025-04-08T11:55:46Z","abstract_excerpt":"We propose a Lorentz covariant matrix model as a nonperturbative formulation of the bosonic M2-brane in M-theory. Unlike previous approaches relying on the light-cone gauge or symmetry-based constructions, our model retains full 11-dimensional Lorentz invariance by introducing a novel gauge-fixing condition that restricts the symmetry of volume-preserving deformations (VPD) to a subclass, which we call restricted VPD (RVPD). This restriction enables a consistent matrix regularization of the Nambu bracket, bypassing the long-standing obstructions related to the Leibniz rule and the Fundamental "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.05940","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.05940/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":"2026-06-01T01:02:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8dS7JCNMenoRWDMXXgYjegMfS9RWNtw1KDIig3vMenNrwb+5e86FB9xSOwfB3JfdOPyE1vxsNCrMWcpX8GEXDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T06:43:00.867238Z"},"content_sha256":"cbe0df806dcd4adbe99b11815155d4b97be572a5e6dc69761a60de2d4ca0c262","schema_version":"1.0","event_id":"sha256:cbe0df806dcd4adbe99b11815155d4b97be572a5e6dc69761a60de2d4ca0c262"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UM2VRH5HVBWN3FLFE3UTZDLH4X/bundle.json","state_url":"https://pith.science/pith/UM2VRH5HVBWN3FLFE3UTZDLH4X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UM2VRH5HVBWN3FLFE3UTZDLH4X/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":"2026-06-20T06:43:00Z","links":{"resolver":"https://pith.science/pith/UM2VRH5HVBWN3FLFE3UTZDLH4X","bundle":"https://pith.science/pith/UM2VRH5HVBWN3FLFE3UTZDLH4X/bundle.json","state":"https://pith.science/pith/UM2VRH5HVBWN3FLFE3UTZDLH4X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UM2VRH5HVBWN3FLFE3UTZDLH4X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UM2VRH5HVBWN3FLFE3UTZDLH4X","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":"9407c4822c482fa176caf25f2751f63fc73bf4c5fc03595fce0abc7a782e938a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-08T11:55:46Z","title_canon_sha256":"a57cd15a330ffc02e6a23cffe93e018df53d41fb9d35f2bff847577bc91494d3"},"schema_version":"1.0","source":{"id":"2504.05940","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.05940","created_at":"2026-06-01T01:02:15Z"},{"alias_kind":"arxiv_version","alias_value":"2504.05940v2","created_at":"2026-06-01T01:02:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.05940","created_at":"2026-06-01T01:02:15Z"},{"alias_kind":"pith_short_12","alias_value":"UM2VRH5HVBWN","created_at":"2026-06-01T01:02:15Z"},{"alias_kind":"pith_short_16","alias_value":"UM2VRH5HVBWN3FLF","created_at":"2026-06-01T01:02:15Z"},{"alias_kind":"pith_short_8","alias_value":"UM2VRH5H","created_at":"2026-06-01T01:02:15Z"}],"graph_snapshots":[{"event_id":"sha256:cbe0df806dcd4adbe99b11815155d4b97be572a5e6dc69761a60de2d4ca0c262","target":"graph","created_at":"2026-06-01T01:02:15Z","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/2504.05940/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a Lorentz covariant matrix model as a nonperturbative formulation of the bosonic M2-brane in M-theory. Unlike previous approaches relying on the light-cone gauge or symmetry-based constructions, our model retains full 11-dimensional Lorentz invariance by introducing a novel gauge-fixing condition that restricts the symmetry of volume-preserving deformations (VPD) to a subclass, which we call restricted VPD (RVPD). This restriction enables a consistent matrix regularization of the Nambu bracket, bypassing the long-standing obstructions related to the Leibniz rule and the Fundamental ","authors_text":"So Katagiri","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-08T11:55:46Z","title":"A Lorentz Covariant Matrix Model for Bosonic M2-Branes: Nambu Brackets and Restricted Volume-Preserving Deformations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.05940","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":"sha256:5ea362e9b732ea6262c45a58becfa86ad11a836ad13121b297f48de7d6c8db29","target":"record","created_at":"2026-06-01T01:02:15Z","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":"9407c4822c482fa176caf25f2751f63fc73bf4c5fc03595fce0abc7a782e938a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-08T11:55:46Z","title_canon_sha256":"a57cd15a330ffc02e6a23cffe93e018df53d41fb9d35f2bff847577bc91494d3"},"schema_version":"1.0","source":{"id":"2504.05940","kind":"arxiv","version":2}},"canonical_sha256":"a335589fa7a86cdd956526e93c8d67e5df17b0451006c93f39772b12327f3b0f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a335589fa7a86cdd956526e93c8d67e5df17b0451006c93f39772b12327f3b0f","first_computed_at":"2026-06-01T01:02:15.752765Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-01T01:02:15.752765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/RyCatmEghsB0QFq8lsHtfVTHAHthC1zndTVku7ko/KJORgvoABlpPSWdpFYRxoYoP8gegUg2jLJBq4ooWFPAA==","signature_status":"signed_v1","signed_at":"2026-06-01T01:02:15.753907Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.05940","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ea362e9b732ea6262c45a58becfa86ad11a836ad13121b297f48de7d6c8db29","sha256:cbe0df806dcd4adbe99b11815155d4b97be572a5e6dc69761a60de2d4ca0c262"],"state_sha256":"5fdee4806238f14ffa08fe308150dd10117c9a9350560c7855ef3dbf06a8ea15"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H1vopqyY0KO5PIr7IWaOVFW0Qkma0ncui64Ydt+9CPucfZN+VCosNg9Ga0DuLLixSqHcCwyn7+61w9V8Td2aBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T06:43:00.869333Z","bundle_sha256":"2ffa417c622768b0864730207dcb5e18a2e7a5c322e87b99a2cb918444b03aac"}}