{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:2KGOYNFOEJWECQXDYUE2E6NIWU","short_pith_number":"pith:2KGOYNFO","canonical_record":{"source":{"id":"1612.08513","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-27T06:54:00Z","cross_cats_sorted":[],"title_canon_sha256":"12c62a2a0141184db589cd7937794bd5f7087624b4c5efb06d64358f64a09360","abstract_canon_sha256":"3b2dfca5ec92385cfafb0c295e03564ec889f02550fafcb95753823bf0fe484d"},"schema_version":"1.0"},"canonical_sha256":"d28cec34ae226c4142e3c509a279a8b50d0c4827b29188baa8186a392f3cc281","source":{"kind":"arxiv","id":"1612.08513","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08513","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08513v2","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08513","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"pith_short_12","alias_value":"2KGOYNFOEJWE","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2KGOYNFOEJWECQXD","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2KGOYNFO","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:2KGOYNFOEJWECQXDYUE2E6NIWU","target":"record","payload":{"canonical_record":{"source":{"id":"1612.08513","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-27T06:54:00Z","cross_cats_sorted":[],"title_canon_sha256":"12c62a2a0141184db589cd7937794bd5f7087624b4c5efb06d64358f64a09360","abstract_canon_sha256":"3b2dfca5ec92385cfafb0c295e03564ec889f02550fafcb95753823bf0fe484d"},"schema_version":"1.0"},"canonical_sha256":"d28cec34ae226c4142e3c509a279a8b50d0c4827b29188baa8186a392f3cc281","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:47.322069Z","signature_b64":"pW8DKZzqvgdGJWrcTGF5KtMWTZ7UbqACNocVZUMe2k7ZprW+k9V15XJSMYbKmiaCCyI9IwNOBPOYNWLpPz0VCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d28cec34ae226c4142e3c509a279a8b50d0c4827b29188baa8186a392f3cc281","last_reissued_at":"2026-05-18T00:53:47.321547Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:47.321547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.08513","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":"2026-05-18T00:53:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iwUiUD+M8qY9VeZOCimq/ii9SsrEZunECrJzoPW+VMuYPXRkbo4uJeXXhyk6Lxn0WtvJCmdsj8Ihfv95WnGMDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T17:23:47.422883Z"},"content_sha256":"4c1e6f28234894fc1951981638924b580ca7091d7885a8bbfe684ac80b0b9de4","schema_version":"1.0","event_id":"sha256:4c1e6f28234894fc1951981638924b580ca7091d7885a8bbfe684ac80b0b9de4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:2KGOYNFOEJWECQXDYUE2E6NIWU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lectures on Higher-Gauge Symmetries from Nambu Brackets and Covariantized M(atrix) Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Tamiaki Yoneya","submitted_at":"2016-12-27T06:54:00Z","abstract_excerpt":"This lecture consists of three parts. In part I, an overview is given on the so-called Matrix theory in the light-front gauge as a proposal for a concrete and non-perturbative formulation of M-theory. I emphasize motivations towards its covariant formulation. Then, in part II, I turn the subject to the so-called Nambu bracket and Nambu mechanics, which were proposed by Nambu in 1973 as a possible extension of the ordinary Hamiltonian mechanics. After reviewing briefly Nambu's original work, it will be explained why his idea may be useful in exploring higher symmetries which would be required f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08513","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":"2026-05-18T00:53:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sFGdKWfXL1ZwHXsqNsG5wMfp0iUYO9qOfa9gIjvGcdxG9iAzU1S6A4ZiHCI1Q8xJxIxRIlvzfgPOkKgDSnOKBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T17:23:47.423218Z"},"content_sha256":"3004cf21ac9651ec7a904110f91424295715513ecca67cb5906b10aea86c40b1","schema_version":"1.0","event_id":"sha256:3004cf21ac9651ec7a904110f91424295715513ecca67cb5906b10aea86c40b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2KGOYNFOEJWECQXDYUE2E6NIWU/bundle.json","state_url":"https://pith.science/pith/2KGOYNFOEJWECQXDYUE2E6NIWU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2KGOYNFOEJWECQXDYUE2E6NIWU/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":"2026-06-27T17:23:47Z","links":{"resolver":"https://pith.science/pith/2KGOYNFOEJWECQXDYUE2E6NIWU","bundle":"https://pith.science/pith/2KGOYNFOEJWECQXDYUE2E6NIWU/bundle.json","state":"https://pith.science/pith/2KGOYNFOEJWECQXDYUE2E6NIWU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2KGOYNFOEJWECQXDYUE2E6NIWU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2KGOYNFOEJWECQXDYUE2E6NIWU","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":"3b2dfca5ec92385cfafb0c295e03564ec889f02550fafcb95753823bf0fe484d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-27T06:54:00Z","title_canon_sha256":"12c62a2a0141184db589cd7937794bd5f7087624b4c5efb06d64358f64a09360"},"schema_version":"1.0","source":{"id":"1612.08513","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08513","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08513v2","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08513","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"pith_short_12","alias_value":"2KGOYNFOEJWE","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2KGOYNFOEJWECQXD","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2KGOYNFO","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:3004cf21ac9651ec7a904110f91424295715513ecca67cb5906b10aea86c40b1","target":"graph","created_at":"2026-05-18T00:53:47Z","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":"This lecture consists of three parts. In part I, an overview is given on the so-called Matrix theory in the light-front gauge as a proposal for a concrete and non-perturbative formulation of M-theory. I emphasize motivations towards its covariant formulation. Then, in part II, I turn the subject to the so-called Nambu bracket and Nambu mechanics, which were proposed by Nambu in 1973 as a possible extension of the ordinary Hamiltonian mechanics. After reviewing briefly Nambu's original work, it will be explained why his idea may be useful in exploring higher symmetries which would be required f","authors_text":"Tamiaki Yoneya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-27T06:54:00Z","title":"Lectures on Higher-Gauge Symmetries from Nambu Brackets and Covariantized M(atrix) Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08513","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":"sha256:4c1e6f28234894fc1951981638924b580ca7091d7885a8bbfe684ac80b0b9de4","target":"record","created_at":"2026-05-18T00:53:47Z","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":"3b2dfca5ec92385cfafb0c295e03564ec889f02550fafcb95753823bf0fe484d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-27T06:54:00Z","title_canon_sha256":"12c62a2a0141184db589cd7937794bd5f7087624b4c5efb06d64358f64a09360"},"schema_version":"1.0","source":{"id":"1612.08513","kind":"arxiv","version":2}},"canonical_sha256":"d28cec34ae226c4142e3c509a279a8b50d0c4827b29188baa8186a392f3cc281","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d28cec34ae226c4142e3c509a279a8b50d0c4827b29188baa8186a392f3cc281","first_computed_at":"2026-05-18T00:53:47.321547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:47.321547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pW8DKZzqvgdGJWrcTGF5KtMWTZ7UbqACNocVZUMe2k7ZprW+k9V15XJSMYbKmiaCCyI9IwNOBPOYNWLpPz0VCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:47.322069Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08513","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c1e6f28234894fc1951981638924b580ca7091d7885a8bbfe684ac80b0b9de4","sha256:3004cf21ac9651ec7a904110f91424295715513ecca67cb5906b10aea86c40b1"],"state_sha256":"89d727921b431b3108e2dd73da8b8b2c5551b731e7030371b1578d1bd04e95bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OiTRotX1Yi6ZAh+oOY8MSQgtoXoCOP0RQQ1Wcq4Snq2DX8dJatAc6sDp0J9avjc1j6lhPNi8gcCfqv+RP+uKBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T17:23:47.425058Z","bundle_sha256":"e63215e701072ed4c7ca3737f03dd601aed314deffb131904441badcfd72274a"}}