{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:YCSXXJVNXHAWTYXAMUGMGU2AFP","short_pith_number":"pith:YCSXXJVN","canonical_record":{"source":{"id":"hep-th/9810165","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1998-10-21T22:34:17Z","cross_cats_sorted":[],"title_canon_sha256":"ae45f2e6c2bd032b8361a30ff2a9c41017c15c04c0e269884d3ffdcb462c7998","abstract_canon_sha256":"4b2458048f9ba2379a82e42f0fff754bee28e2f6a0abe582c6aa0bec17859ab4"},"schema_version":"1.0"},"canonical_sha256":"c0a57ba6adb9c169e2e0650cc353402bc0a4ef92ca4dbea4365272fc6a0fcfee","source":{"kind":"arxiv","id":"hep-th/9810165","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9810165","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9810165v1","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9810165","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"pith_short_12","alias_value":"YCSXXJVNXHAW","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"pith_short_16","alias_value":"YCSXXJVNXHAWTYXA","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"pith_short_8","alias_value":"YCSXXJVN","created_at":"2026-07-04T16:10:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:YCSXXJVNXHAWTYXAMUGMGU2AFP","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9810165","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1998-10-21T22:34:17Z","cross_cats_sorted":[],"title_canon_sha256":"ae45f2e6c2bd032b8361a30ff2a9c41017c15c04c0e269884d3ffdcb462c7998","abstract_canon_sha256":"4b2458048f9ba2379a82e42f0fff754bee28e2f6a0abe582c6aa0bec17859ab4"},"schema_version":"1.0"},"canonical_sha256":"c0a57ba6adb9c169e2e0650cc353402bc0a4ef92ca4dbea4365272fc6a0fcfee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:10:02.355378Z","signature_b64":"lIECcsTxpQ2L7MUO/sX4FF5aK6PnAwjmQD9jWupBvmCQLbc7TZx4bDfgNPZ0k0rm/QphAbw0IzabnAmeOTk9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0a57ba6adb9c169e2e0650cc353402bc0a4ef92ca4dbea4365272fc6a0fcfee","last_reissued_at":"2026-07-04T16:10:02.354974Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:10:02.354974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9810165","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":"2026-07-04T16:10:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nss9K9WnCFr7AeEp/Fb4aiame3fy0uypEXjmAJznz6gHObcQ3s1JbevdjReVFdRjHunFiXZKpZ6CqIq6Cf8tBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T18:37:15.707650Z"},"content_sha256":"a89e27ece5cb4034f2d7ac481c3bfe1ffbb8a12e5ac315d234502fe5a03ff179","schema_version":"1.0","event_id":"sha256:a89e27ece5cb4034f2d7ac481c3bfe1ffbb8a12e5ac315d234502fe5a03ff179"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:YCSXXJVNXHAWTYXAMUGMGU2AFP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"DeDonder-Weyl theory and a hypercomplex extension of quantum mechanics to field theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"I.V. Kanatchikov","submitted_at":"1998-10-21T22:34:17Z","abstract_excerpt":"A quantization of field theory based on the DeDonder-Weyl covariant Hamiltonian formulation is discussed. A hypercomplex extension of quantum mechanics, in which the space-time Clifford algebra replaces that of the complex numbers, appears as a result of quantization of Poisson brackets of differential forms put forward for the DeDonder-Weyl formulation earlier. The proposed covariant hypercomplex Schr\\\"odinger equation is shown to lead in the classical limit to the DeDonder-Weyl Hamilton-Jacobi equation and to obey the Ehrenfest principle in the sense that the DeDonder-Weyl canonical field eq"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9810165","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9810165/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":"2026-07-04T16:10:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EiMT5ei5FowxtCaMlX36MOO1ilTC8m2H6ufKzrtg+fJuLAzIBxoGNuF1ijNFGRtN+fjw3Vc84KDcthXK4kxlAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T18:37:15.708653Z"},"content_sha256":"9a756a46dadb3f0a1ce2e91b7b7d20b01168c3ce94ae35f25cc7195f6de9a805","schema_version":"1.0","event_id":"sha256:9a756a46dadb3f0a1ce2e91b7b7d20b01168c3ce94ae35f25cc7195f6de9a805"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YCSXXJVNXHAWTYXAMUGMGU2AFP/bundle.json","state_url":"https://pith.science/pith/YCSXXJVNXHAWTYXAMUGMGU2AFP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YCSXXJVNXHAWTYXAMUGMGU2AFP/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":"2026-08-17T18:37:15Z","links":{"resolver":"https://pith.science/pith/YCSXXJVNXHAWTYXAMUGMGU2AFP","bundle":"https://pith.science/pith/YCSXXJVNXHAWTYXAMUGMGU2AFP/bundle.json","state":"https://pith.science/pith/YCSXXJVNXHAWTYXAMUGMGU2AFP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YCSXXJVNXHAWTYXAMUGMGU2AFP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:YCSXXJVNXHAWTYXAMUGMGU2AFP","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":"4b2458048f9ba2379a82e42f0fff754bee28e2f6a0abe582c6aa0bec17859ab4","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-10-21T22:34:17Z","title_canon_sha256":"ae45f2e6c2bd032b8361a30ff2a9c41017c15c04c0e269884d3ffdcb462c7998"},"schema_version":"1.0","source":{"id":"hep-th/9810165","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9810165","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9810165v1","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9810165","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"pith_short_12","alias_value":"YCSXXJVNXHAW","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"pith_short_16","alias_value":"YCSXXJVNXHAWTYXA","created_at":"2026-07-04T16:10:02Z"},{"alias_kind":"pith_short_8","alias_value":"YCSXXJVN","created_at":"2026-07-04T16:10:02Z"}],"graph_snapshots":[{"event_id":"sha256:9a756a46dadb3f0a1ce2e91b7b7d20b01168c3ce94ae35f25cc7195f6de9a805","target":"graph","created_at":"2026-07-04T16:10:02Z","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/hep-th/9810165/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A quantization of field theory based on the DeDonder-Weyl covariant Hamiltonian formulation is discussed. A hypercomplex extension of quantum mechanics, in which the space-time Clifford algebra replaces that of the complex numbers, appears as a result of quantization of Poisson brackets of differential forms put forward for the DeDonder-Weyl formulation earlier. The proposed covariant hypercomplex Schr\\\"odinger equation is shown to lead in the classical limit to the DeDonder-Weyl Hamilton-Jacobi equation and to obey the Ehrenfest principle in the sense that the DeDonder-Weyl canonical field eq","authors_text":"I.V. Kanatchikov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1998-10-21T22:34:17Z","title":"DeDonder-Weyl theory and a hypercomplex extension of quantum mechanics to field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9810165","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:a89e27ece5cb4034f2d7ac481c3bfe1ffbb8a12e5ac315d234502fe5a03ff179","target":"record","created_at":"2026-07-04T16:10:02Z","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":"4b2458048f9ba2379a82e42f0fff754bee28e2f6a0abe582c6aa0bec17859ab4","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-10-21T22:34:17Z","title_canon_sha256":"ae45f2e6c2bd032b8361a30ff2a9c41017c15c04c0e269884d3ffdcb462c7998"},"schema_version":"1.0","source":{"id":"hep-th/9810165","kind":"arxiv","version":1}},"canonical_sha256":"c0a57ba6adb9c169e2e0650cc353402bc0a4ef92ca4dbea4365272fc6a0fcfee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0a57ba6adb9c169e2e0650cc353402bc0a4ef92ca4dbea4365272fc6a0fcfee","first_computed_at":"2026-07-04T16:10:02.354974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:10:02.354974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lIECcsTxpQ2L7MUO/sX4FF5aK6PnAwjmQD9jWupBvmCQLbc7TZx4bDfgNPZ0k0rm/QphAbw0IzabnAmeOTk9Dw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:10:02.355378Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9810165","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a89e27ece5cb4034f2d7ac481c3bfe1ffbb8a12e5ac315d234502fe5a03ff179","sha256:9a756a46dadb3f0a1ce2e91b7b7d20b01168c3ce94ae35f25cc7195f6de9a805"],"state_sha256":"9c08954fd25fd7ff2de25847a816b58a06f10742f2e369a128bdca29dae52851"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TwavMm3xOVXUXA43l84tr2sNaMI6Nheey0Z95p5c+pWV5qEKV86r3S7c2gs1mWQB76+POtxG6J83jQnzOuDLDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T18:37:15.715093Z","bundle_sha256":"2ba96f42ad4e93e4a624509274e2b01e7e6e779a72a0cf2c86e7255b615950ac"}}