{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:V442Q57VOSUSGBEXJTSZZTIGXZ","short_pith_number":"pith:V442Q57V","canonical_record":{"source":{"id":"1806.01472","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-05T02:58:50Z","cross_cats_sorted":[],"title_canon_sha256":"2cd07d1a230456b1e8cd952f917d4fc0be9e5deb5e78558cbea4473d91cef11d","abstract_canon_sha256":"7c53ca45d139ac37beeb4fc8ab269db516ec279fe7b67aee8be06a86757ea6e3"},"schema_version":"1.0"},"canonical_sha256":"af39a877f574a92304974ce59ccd06be54906fb39db098b2ec8a549eddfa4710","source":{"kind":"arxiv","id":"1806.01472","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01472","created_at":"2026-05-17T23:53:51Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01472v2","created_at":"2026-05-17T23:53:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01472","created_at":"2026-05-17T23:53:51Z"},{"alias_kind":"pith_short_12","alias_value":"V442Q57VOSUS","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"V442Q57VOSUSGBEX","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"V442Q57V","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:V442Q57VOSUSGBEXJTSZZTIGXZ","target":"record","payload":{"canonical_record":{"source":{"id":"1806.01472","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-05T02:58:50Z","cross_cats_sorted":[],"title_canon_sha256":"2cd07d1a230456b1e8cd952f917d4fc0be9e5deb5e78558cbea4473d91cef11d","abstract_canon_sha256":"7c53ca45d139ac37beeb4fc8ab269db516ec279fe7b67aee8be06a86757ea6e3"},"schema_version":"1.0"},"canonical_sha256":"af39a877f574a92304974ce59ccd06be54906fb39db098b2ec8a549eddfa4710","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:51.262585Z","signature_b64":"x1M2qD3+5zT7WW129Bb3h5TCi2aXSjEijLkOzm8UWW+blJW1ZXb7Rs10j/c12SD/Y+Agt4wGF2hiUoh6Jp09Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af39a877f574a92304974ce59ccd06be54906fb39db098b2ec8a549eddfa4710","last_reissued_at":"2026-05-17T23:53:51.261852Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:51.261852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.01472","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":"2026-05-17T23:53:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wv+uHdR7m48CcD2lnjDqaZn77SRuD2hPgqeDDahWwlwI1bny1Infi2hc9SE+k/ofQbatmcnpbJgmmnnqg0CZCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:40:22.081040Z"},"content_sha256":"046741e002ff6059761bac28e6f36e5aa653d77ee344359236cd591be5de00ca","schema_version":"1.0","event_id":"sha256:046741e002ff6059761bac28e6f36e5aa653d77ee344359236cd591be5de00ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:V442Q57VOSUSGBEXJTSZZTIGXZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"History state formalism for Dirac's theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"N. L. Diaz, R. Rossignoli","submitted_at":"2018-06-05T02:58:50Z","abstract_excerpt":"We propose a history state formalism for a Dirac particle. By introducing a reference quantum clock system it is first shown that Dirac's equation can be derived by enforcing a timeless Wheeler-DeWitt-like equation for a global state. The Hilbert space of the whole system constitutes a unitary representation of the Lorentz group with respect to a properly defined invariant product, and the proper normalization of global states directly ensures standard Dirac's norm. Moreover, by introducing a second quantum clock, the previous invariant product emerges naturally from a generalized continuity e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01472","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":"2026-05-17T23:53:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VOJ8plOH4SBdBCmlsFDw4+IN7jffsR6vdj1kTUmCTF/N3Q95E7W9yzYyKAQsMP/Z2D+t7t8YPDeGCa9rybH3Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:40:22.081807Z"},"content_sha256":"9ba1b521b14f384b879bcb5eec7a507e8036df6910c1d7f3317c9881d23b073d","schema_version":"1.0","event_id":"sha256:9ba1b521b14f384b879bcb5eec7a507e8036df6910c1d7f3317c9881d23b073d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V442Q57VOSUSGBEXJTSZZTIGXZ/bundle.json","state_url":"https://pith.science/pith/V442Q57VOSUSGBEXJTSZZTIGXZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V442Q57VOSUSGBEXJTSZZTIGXZ/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":"2026-05-31T15:40:22Z","links":{"resolver":"https://pith.science/pith/V442Q57VOSUSGBEXJTSZZTIGXZ","bundle":"https://pith.science/pith/V442Q57VOSUSGBEXJTSZZTIGXZ/bundle.json","state":"https://pith.science/pith/V442Q57VOSUSGBEXJTSZZTIGXZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V442Q57VOSUSGBEXJTSZZTIGXZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:V442Q57VOSUSGBEXJTSZZTIGXZ","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":"7c53ca45d139ac37beeb4fc8ab269db516ec279fe7b67aee8be06a86757ea6e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-05T02:58:50Z","title_canon_sha256":"2cd07d1a230456b1e8cd952f917d4fc0be9e5deb5e78558cbea4473d91cef11d"},"schema_version":"1.0","source":{"id":"1806.01472","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01472","created_at":"2026-05-17T23:53:51Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01472v2","created_at":"2026-05-17T23:53:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01472","created_at":"2026-05-17T23:53:51Z"},{"alias_kind":"pith_short_12","alias_value":"V442Q57VOSUS","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"V442Q57VOSUSGBEX","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"V442Q57V","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:9ba1b521b14f384b879bcb5eec7a507e8036df6910c1d7f3317c9881d23b073d","target":"graph","created_at":"2026-05-17T23:53:51Z","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 propose a history state formalism for a Dirac particle. By introducing a reference quantum clock system it is first shown that Dirac's equation can be derived by enforcing a timeless Wheeler-DeWitt-like equation for a global state. The Hilbert space of the whole system constitutes a unitary representation of the Lorentz group with respect to a properly defined invariant product, and the proper normalization of global states directly ensures standard Dirac's norm. Moreover, by introducing a second quantum clock, the previous invariant product emerges naturally from a generalized continuity e","authors_text":"N. L. Diaz, R. Rossignoli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-05T02:58:50Z","title":"History state formalism for Dirac's theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01472","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":"sha256:046741e002ff6059761bac28e6f36e5aa653d77ee344359236cd591be5de00ca","target":"record","created_at":"2026-05-17T23:53:51Z","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":"7c53ca45d139ac37beeb4fc8ab269db516ec279fe7b67aee8be06a86757ea6e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-05T02:58:50Z","title_canon_sha256":"2cd07d1a230456b1e8cd952f917d4fc0be9e5deb5e78558cbea4473d91cef11d"},"schema_version":"1.0","source":{"id":"1806.01472","kind":"arxiv","version":2}},"canonical_sha256":"af39a877f574a92304974ce59ccd06be54906fb39db098b2ec8a549eddfa4710","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af39a877f574a92304974ce59ccd06be54906fb39db098b2ec8a549eddfa4710","first_computed_at":"2026-05-17T23:53:51.261852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:51.261852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x1M2qD3+5zT7WW129Bb3h5TCi2aXSjEijLkOzm8UWW+blJW1ZXb7Rs10j/c12SD/Y+Agt4wGF2hiUoh6Jp09Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:51.262585Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.01472","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:046741e002ff6059761bac28e6f36e5aa653d77ee344359236cd591be5de00ca","sha256:9ba1b521b14f384b879bcb5eec7a507e8036df6910c1d7f3317c9881d23b073d"],"state_sha256":"2a6a2a70c6650e2909177851b2d6a87cf63b633f31f00faa2c8e8dc18ca79227"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z7Hj1GjzwvH/U7bP95HifIj/O3WH5E0pPQu0k2zDWHzxTn9FMrNlN5Tc4AXgWQHKmqF/0Btpz3I24lAQ5Y32Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T15:40:22.086214Z","bundle_sha256":"165e3157bdd2f65bace6e720627400bab1eb4d699e37439035cdabd565c1ea79"}}