{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:QQEE2GLBMYGIZMTMBV5KSQELEC","short_pith_number":"pith:QQEE2GLB","canonical_record":{"source":{"id":"hep-th/9911175","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-11-23T04:05:34Z","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"title_canon_sha256":"3799c4baffa5992dca72186f7c0d9b9f8113866d18f187d4f284e88b3284a1ac","abstract_canon_sha256":"6027f3db4a6a2ba5761c15e1e94c6f512096133b0234239d7186a89ead0b2950"},"schema_version":"1.0"},"canonical_sha256":"84084d1961660c8cb26c0d7aa9408b208895fa9850c69e525a700798d87641bf","source":{"kind":"arxiv","id":"hep-th/9911175","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9911175","created_at":"2026-05-18T04:24:15Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9911175v1","created_at":"2026-05-18T04:24:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9911175","created_at":"2026-05-18T04:24:15Z"},{"alias_kind":"pith_short_12","alias_value":"QQEE2GLBMYGI","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"QQEE2GLBMYGIZMTM","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"QQEE2GLB","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:QQEE2GLBMYGIZMTMBV5KSQELEC","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9911175","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-11-23T04:05:34Z","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"title_canon_sha256":"3799c4baffa5992dca72186f7c0d9b9f8113866d18f187d4f284e88b3284a1ac","abstract_canon_sha256":"6027f3db4a6a2ba5761c15e1e94c6f512096133b0234239d7186a89ead0b2950"},"schema_version":"1.0"},"canonical_sha256":"84084d1961660c8cb26c0d7aa9408b208895fa9850c69e525a700798d87641bf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:15.267984Z","signature_b64":"UB8KuZ53NRMuV7Ll/lzR777cP7f6WwTt6kbIup7tLrYBIa4Ggy7NoWarkoteJtMdvU2aBbjM87IyAf0jXJBnDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84084d1961660c8cb26c0d7aa9408b208895fa9850c69e525a700798d87641bf","last_reissued_at":"2026-05-18T04:24:15.267486Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:15.267486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9911175","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":"2026-05-18T04:24:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5fvqBFteGEtOKq58aSNM3gRhykQI+w/+QYMqXaJPHRhtSVG1R2zZlyqRMj4ObmBOpI42RLMVTctwNaB+5L52Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T16:44:11.746598Z"},"content_sha256":"75c3f39c895a5ac5651950001cb0d6a84f15c6ed27ea389b5339eb0f0a0c4a99","schema_version":"1.0","event_id":"sha256:75c3f39c895a5ac5651950001cb0d6a84f15c6ed27ea389b5339eb0f0a0c4a99"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:QQEE2GLBMYGIZMTMBV5KSQELEC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Duffin-Kemmer-Petiau Formulation of the Covariant Hamiltonian Dynamics in Field Theory","license":"","headline":"","cross_cats":["hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"I.V. Kanatchikov","submitted_at":"1999-11-23T04:05:34Z","abstract_excerpt":"We show that the De Donder-Weyl (DW) covariant Hamiltonian field equations of any field can be written in Duffin-Kemmer-Petiau (DKP) matrix form. As a consequence, the (modified) DKP beta-matrices (5 X 5 in four space-time dimensions) are of universal significance for all fields admitting the DW Hamiltonian formulation, not only for a scalar field, and can be viewed as field theoretic analogues of the symplectic matrix, leading to the so-called ``k-symplectic'' (k=4) structure. We also briefly discuss what could be viewed as the covariant Poisson bracket given by beta-matrices and the correspo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9911175","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":"2026-05-18T04:24:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sahwj6lcE888mi+oc+vsigEnteIuDrVbFTEebY8A5aZ9JOxsdT5LJ5VwOWYCm0YAk2PDsjPdS3WYLJ30hUBQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T16:44:11.746949Z"},"content_sha256":"0b79826f8063fce0a5ea1d33385adc7bf64533eab53ed5ec7912525560f18d2f","schema_version":"1.0","event_id":"sha256:0b79826f8063fce0a5ea1d33385adc7bf64533eab53ed5ec7912525560f18d2f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QQEE2GLBMYGIZMTMBV5KSQELEC/bundle.json","state_url":"https://pith.science/pith/QQEE2GLBMYGIZMTMBV5KSQELEC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QQEE2GLBMYGIZMTMBV5KSQELEC/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":"2026-07-02T16:44:11Z","links":{"resolver":"https://pith.science/pith/QQEE2GLBMYGIZMTMBV5KSQELEC","bundle":"https://pith.science/pith/QQEE2GLBMYGIZMTMBV5KSQELEC/bundle.json","state":"https://pith.science/pith/QQEE2GLBMYGIZMTMBV5KSQELEC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QQEE2GLBMYGIZMTMBV5KSQELEC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:QQEE2GLBMYGIZMTMBV5KSQELEC","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":"6027f3db4a6a2ba5761c15e1e94c6f512096133b0234239d7186a89ead0b2950","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"license":"","primary_cat":"hep-th","submitted_at":"1999-11-23T04:05:34Z","title_canon_sha256":"3799c4baffa5992dca72186f7c0d9b9f8113866d18f187d4f284e88b3284a1ac"},"schema_version":"1.0","source":{"id":"hep-th/9911175","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9911175","created_at":"2026-05-18T04:24:15Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9911175v1","created_at":"2026-05-18T04:24:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9911175","created_at":"2026-05-18T04:24:15Z"},{"alias_kind":"pith_short_12","alias_value":"QQEE2GLBMYGI","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"QQEE2GLBMYGIZMTM","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"QQEE2GLB","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:0b79826f8063fce0a5ea1d33385adc7bf64533eab53ed5ec7912525560f18d2f","target":"graph","created_at":"2026-05-18T04:24:15Z","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"},"paper":{"abstract_excerpt":"We show that the De Donder-Weyl (DW) covariant Hamiltonian field equations of any field can be written in Duffin-Kemmer-Petiau (DKP) matrix form. As a consequence, the (modified) DKP beta-matrices (5 X 5 in four space-time dimensions) are of universal significance for all fields admitting the DW Hamiltonian formulation, not only for a scalar field, and can be viewed as field theoretic analogues of the symplectic matrix, leading to the so-called ``k-symplectic'' (k=4) structure. We also briefly discuss what could be viewed as the covariant Poisson bracket given by beta-matrices and the correspo","authors_text":"I.V. Kanatchikov","cross_cats":["hep-ph","math-ph","math.MP"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-11-23T04:05:34Z","title":"On the Duffin-Kemmer-Petiau Formulation of the Covariant Hamiltonian Dynamics in Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9911175","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":"sha256:75c3f39c895a5ac5651950001cb0d6a84f15c6ed27ea389b5339eb0f0a0c4a99","target":"record","created_at":"2026-05-18T04:24:15Z","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":"6027f3db4a6a2ba5761c15e1e94c6f512096133b0234239d7186a89ead0b2950","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"license":"","primary_cat":"hep-th","submitted_at":"1999-11-23T04:05:34Z","title_canon_sha256":"3799c4baffa5992dca72186f7c0d9b9f8113866d18f187d4f284e88b3284a1ac"},"schema_version":"1.0","source":{"id":"hep-th/9911175","kind":"arxiv","version":1}},"canonical_sha256":"84084d1961660c8cb26c0d7aa9408b208895fa9850c69e525a700798d87641bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84084d1961660c8cb26c0d7aa9408b208895fa9850c69e525a700798d87641bf","first_computed_at":"2026-05-18T04:24:15.267486Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:15.267486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UB8KuZ53NRMuV7Ll/lzR777cP7f6WwTt6kbIup7tLrYBIa4Ggy7NoWarkoteJtMdvU2aBbjM87IyAf0jXJBnDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:15.267984Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9911175","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75c3f39c895a5ac5651950001cb0d6a84f15c6ed27ea389b5339eb0f0a0c4a99","sha256:0b79826f8063fce0a5ea1d33385adc7bf64533eab53ed5ec7912525560f18d2f"],"state_sha256":"b0133db7999f5524ede601e280e513e690abb6451e04eed2360954621756abcf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xqIe6cZTWVI+xmOrjd8YbrrQjTTCyI9kGn1fAg9K4frkLaLP6tt3UuwVmIoBGfbBEq0VJ/Ky4RbXRBtPWujWDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T16:44:11.748938Z","bundle_sha256":"0503c529366efc7bf6c7d36177ba190d773afa466fafd53c1ce63f679342d6b9"}}