{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:XCJ2L3TUHTXSOFE44ALUBDRFJA","short_pith_number":"pith:XCJ2L3TU","canonical_record":{"source":{"id":"1908.04611","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-08-13T12:42:32Z","cross_cats_sorted":[],"title_canon_sha256":"4c847766451d30add7cdb25b8bf67dfe77e1790210daa72d698e3be6c554d6e0","abstract_canon_sha256":"7ad69bcdd69c7df43ed3bd34ff2b824ce8404650e9e846c88734e6cb8f1d3d76"},"schema_version":"1.0"},"canonical_sha256":"b893a5ee743cef27149ce017408e25483a73d85e6011a20832144c1a9683835a","source":{"kind":"arxiv","id":"1908.04611","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04611","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04611v4","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04611","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"pith_short_12","alias_value":"XCJ2L3TUHTXS","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"pith_short_16","alias_value":"XCJ2L3TUHTXSOFE4","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"pith_short_8","alias_value":"XCJ2L3TU","created_at":"2026-07-05T00:12:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:XCJ2L3TUHTXSOFE44ALUBDRFJA","target":"record","payload":{"canonical_record":{"source":{"id":"1908.04611","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-08-13T12:42:32Z","cross_cats_sorted":[],"title_canon_sha256":"4c847766451d30add7cdb25b8bf67dfe77e1790210daa72d698e3be6c554d6e0","abstract_canon_sha256":"7ad69bcdd69c7df43ed3bd34ff2b824ce8404650e9e846c88734e6cb8f1d3d76"},"schema_version":"1.0"},"canonical_sha256":"b893a5ee743cef27149ce017408e25483a73d85e6011a20832144c1a9683835a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:12:29.158594Z","signature_b64":"8PQ+k2S0Hmg/N9flBY5763frg7KFWdxIJ43BpHZ4D8hn0pOSQe6WTDNrdt45GVuH+bYSZvDmKHiCeXKELZdUBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b893a5ee743cef27149ce017408e25483a73d85e6011a20832144c1a9683835a","last_reissued_at":"2026-07-05T00:12:29.158195Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:12:29.158195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.04611","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:12:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8XYlBnVvaZffVX84/ueL9rIQFzLVsP+0tHd8hI390RRuPrsu7HNeMIvLNiCyHsLSgQb4NgcZRliPpqhnhp5rDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T13:30:17.957133Z"},"content_sha256":"f767b1dfb8a1783b57fccad94046d2ded770f20186d3cc82dc82dfaf77e03482","schema_version":"1.0","event_id":"sha256:f767b1dfb8a1783b57fccad94046d2ded770f20186d3cc82dc82dfaf77e03482"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:XCJ2L3TUHTXSOFE44ALUBDRFJA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A variational formulation for relativistic mechanics, a new interpretation for the Bohr atomic model and some concerning applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fabio Botelho","submitted_at":"2019-08-13T12:42:32Z","abstract_excerpt":"This article develops a variational formulation for the relativistic Klein-Gordon equation. The main results are obtained through an extension of the classical mechanics approach to a more general context, which in some sense, includes the quantum mechanics one. For the second part of the text, the definition of normal field and its relation with the wave function concept play a fundamental role in the main results establishment. Among the applications, we include a model with the presence of electromagnetic fields and also the modeling of a chemical reaction. Finally, in the last section, we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04611","kind":"arxiv","version":4},"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/1908.04611/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":"2026-07-05T00:12:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1THmGo+mBjqv17xF9qURT+JdCRPTuU5v6RKOzeWNaCffnfosJtHO6HxGzMQyjekDHIaKM+uqKsYr8peIqHIfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T13:30:17.958087Z"},"content_sha256":"c7c5c4adc4d9e3663c4b4fb910989e526b5c81fdd25426c2c5702b6b7d978851","schema_version":"1.0","event_id":"sha256:c7c5c4adc4d9e3663c4b4fb910989e526b5c81fdd25426c2c5702b6b7d978851"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XCJ2L3TUHTXSOFE44ALUBDRFJA/bundle.json","state_url":"https://pith.science/pith/XCJ2L3TUHTXSOFE44ALUBDRFJA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XCJ2L3TUHTXSOFE44ALUBDRFJA/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":"2026-08-16T13:30:17Z","links":{"resolver":"https://pith.science/pith/XCJ2L3TUHTXSOFE44ALUBDRFJA","bundle":"https://pith.science/pith/XCJ2L3TUHTXSOFE44ALUBDRFJA/bundle.json","state":"https://pith.science/pith/XCJ2L3TUHTXSOFE44ALUBDRFJA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XCJ2L3TUHTXSOFE44ALUBDRFJA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:XCJ2L3TUHTXSOFE44ALUBDRFJA","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":"7ad69bcdd69c7df43ed3bd34ff2b824ce8404650e9e846c88734e6cb8f1d3d76","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-08-13T12:42:32Z","title_canon_sha256":"4c847766451d30add7cdb25b8bf67dfe77e1790210daa72d698e3be6c554d6e0"},"schema_version":"1.0","source":{"id":"1908.04611","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04611","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04611v4","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04611","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"pith_short_12","alias_value":"XCJ2L3TUHTXS","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"pith_short_16","alias_value":"XCJ2L3TUHTXSOFE4","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"pith_short_8","alias_value":"XCJ2L3TU","created_at":"2026-07-05T00:12:29Z"}],"graph_snapshots":[{"event_id":"sha256:c7c5c4adc4d9e3663c4b4fb910989e526b5c81fdd25426c2c5702b6b7d978851","target":"graph","created_at":"2026-07-05T00:12:29Z","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/1908.04611/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article develops a variational formulation for the relativistic Klein-Gordon equation. The main results are obtained through an extension of the classical mechanics approach to a more general context, which in some sense, includes the quantum mechanics one. For the second part of the text, the definition of normal field and its relation with the wave function concept play a fundamental role in the main results establishment. Among the applications, we include a model with the presence of electromagnetic fields and also the modeling of a chemical reaction. Finally, in the last section, we ","authors_text":"Fabio Botelho","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-08-13T12:42:32Z","title":"A variational formulation for relativistic mechanics, a new interpretation for the Bohr atomic model and some concerning applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04611","kind":"arxiv","version":4},"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:f767b1dfb8a1783b57fccad94046d2ded770f20186d3cc82dc82dfaf77e03482","target":"record","created_at":"2026-07-05T00:12:29Z","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":"7ad69bcdd69c7df43ed3bd34ff2b824ce8404650e9e846c88734e6cb8f1d3d76","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-08-13T12:42:32Z","title_canon_sha256":"4c847766451d30add7cdb25b8bf67dfe77e1790210daa72d698e3be6c554d6e0"},"schema_version":"1.0","source":{"id":"1908.04611","kind":"arxiv","version":4}},"canonical_sha256":"b893a5ee743cef27149ce017408e25483a73d85e6011a20832144c1a9683835a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b893a5ee743cef27149ce017408e25483a73d85e6011a20832144c1a9683835a","first_computed_at":"2026-07-05T00:12:29.158195Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:12:29.158195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8PQ+k2S0Hmg/N9flBY5763frg7KFWdxIJ43BpHZ4D8hn0pOSQe6WTDNrdt45GVuH+bYSZvDmKHiCeXKELZdUBA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:12:29.158594Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.04611","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f767b1dfb8a1783b57fccad94046d2ded770f20186d3cc82dc82dfaf77e03482","sha256:c7c5c4adc4d9e3663c4b4fb910989e526b5c81fdd25426c2c5702b6b7d978851"],"state_sha256":"665a17210d7a19c7028f7db295dcc072e038a534335baa166e771f8024d1d0ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mASf2ATLiivIwax2dNfPC2eVMRkzZenJi/nQ5j2g5//EShYr4MP5qjOEPmdl2Jd/wvYyT06LGMaPE41T8WmZCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T13:30:17.963712Z","bundle_sha256":"3bcb80b722c8020ab6c7d6a057d9615e789e1a0feb76b50180e2280083b5f98c"}}