{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:K4FRALBTGFVMSHTX34FFOB4I6U","short_pith_number":"pith:K4FRALBT","canonical_record":{"source":{"id":"1506.02504","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-05T19:30:11Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"f94784fcf3959fd2e324192e81ea8cead769f4be80615807e74b1afe769905f2","abstract_canon_sha256":"6b9b0caf547b94ad201245a205388a8bdd5a20b6008e4e22b419698623f0b96b"},"schema_version":"1.0"},"canonical_sha256":"570b102c33316ac91e77df0a570788f50e75872d1f509f115ae97787e10ed580","source":{"kind":"arxiv","id":"1506.02504","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02504","created_at":"2026-05-18T01:36:09Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02504v1","created_at":"2026-05-18T01:36:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02504","created_at":"2026-05-18T01:36:09Z"},{"alias_kind":"pith_short_12","alias_value":"K4FRALBTGFVM","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"K4FRALBTGFVMSHTX","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"K4FRALBT","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:K4FRALBTGFVMSHTX34FFOB4I6U","target":"record","payload":{"canonical_record":{"source":{"id":"1506.02504","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-05T19:30:11Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"f94784fcf3959fd2e324192e81ea8cead769f4be80615807e74b1afe769905f2","abstract_canon_sha256":"6b9b0caf547b94ad201245a205388a8bdd5a20b6008e4e22b419698623f0b96b"},"schema_version":"1.0"},"canonical_sha256":"570b102c33316ac91e77df0a570788f50e75872d1f509f115ae97787e10ed580","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:09.035275Z","signature_b64":"MQDVXFlxwjo0NkZJ+92D432HWbcnLkoRuQjYsibud6gQ9mmg2RBZMCIINUc/GQvk6XrHzC7xNrkIglrtuXj+Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"570b102c33316ac91e77df0a570788f50e75872d1f509f115ae97787e10ed580","last_reissued_at":"2026-05-18T01:36:09.034714Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:09.034714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.02504","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":"2026-05-18T01:36:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vrhi2Vm6d/G5Kjr9QzmS0pAdXyjPwm2dChxOoBnwXWHvKcpRoT659BAEE+ozKtV7hM+LDvittg5Jo3usCen6CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:54:33.274698Z"},"content_sha256":"f9f74c1b0dd661e988cbf7611e921490c39d007977a8256eaa8a050046da4414","schema_version":"1.0","event_id":"sha256:f9f74c1b0dd661e988cbf7611e921490c39d007977a8256eaa8a050046da4414"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:K4FRALBTGFVMSHTX34FFOB4I6U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ultrarelativistic Decoupling Transformation for Generalized Dirac Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"gr-qc","authors_text":"J. H. Noble, U. D. Jentschura","submitted_at":"2015-06-05T19:30:11Z","abstract_excerpt":"The Foldy--Wouthuysen transformation is known to uncover the nonrelativistic limit of a generalized Dirac Hamiltonian, lending an intuitive physical interpretation to the effective operators within Schr\\\"{o}dinger--Pauli theory. We here discuss the opposite, ultrarelativistic limit which requires the use of a fundamentally different expansion where the leading kinetic term in the Dirac equation is perturbed by the mass of the particle and other interaction (potential) terms, rather than vice versa. The ultrarelativistic decoupling transformation is applied to free Dirac particles (in the Weyl "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02504","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":"2026-05-18T01:36:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RqtYbUDHUWqx678eA2frY0vV0TRcHfXDZlKCr9xP0aGKrPQRdyujXrGH9W9KVqjd3tNjO9YtMeT85SctN89ICA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:54:33.275107Z"},"content_sha256":"1e46b7a4838aff5b6a77589fff666388d0408242f6230989995db5739a052ad3","schema_version":"1.0","event_id":"sha256:1e46b7a4838aff5b6a77589fff666388d0408242f6230989995db5739a052ad3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K4FRALBTGFVMSHTX34FFOB4I6U/bundle.json","state_url":"https://pith.science/pith/K4FRALBTGFVMSHTX34FFOB4I6U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K4FRALBTGFVMSHTX34FFOB4I6U/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":"2026-06-06T20:54:33Z","links":{"resolver":"https://pith.science/pith/K4FRALBTGFVMSHTX34FFOB4I6U","bundle":"https://pith.science/pith/K4FRALBTGFVMSHTX34FFOB4I6U/bundle.json","state":"https://pith.science/pith/K4FRALBTGFVMSHTX34FFOB4I6U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K4FRALBTGFVMSHTX34FFOB4I6U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:K4FRALBTGFVMSHTX34FFOB4I6U","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":"6b9b0caf547b94ad201245a205388a8bdd5a20b6008e4e22b419698623f0b96b","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-05T19:30:11Z","title_canon_sha256":"f94784fcf3959fd2e324192e81ea8cead769f4be80615807e74b1afe769905f2"},"schema_version":"1.0","source":{"id":"1506.02504","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02504","created_at":"2026-05-18T01:36:09Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02504v1","created_at":"2026-05-18T01:36:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02504","created_at":"2026-05-18T01:36:09Z"},{"alias_kind":"pith_short_12","alias_value":"K4FRALBTGFVM","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"K4FRALBTGFVMSHTX","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"K4FRALBT","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:1e46b7a4838aff5b6a77589fff666388d0408242f6230989995db5739a052ad3","target":"graph","created_at":"2026-05-18T01:36:09Z","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":"The Foldy--Wouthuysen transformation is known to uncover the nonrelativistic limit of a generalized Dirac Hamiltonian, lending an intuitive physical interpretation to the effective operators within Schr\\\"{o}dinger--Pauli theory. We here discuss the opposite, ultrarelativistic limit which requires the use of a fundamentally different expansion where the leading kinetic term in the Dirac equation is perturbed by the mass of the particle and other interaction (potential) terms, rather than vice versa. The ultrarelativistic decoupling transformation is applied to free Dirac particles (in the Weyl ","authors_text":"J. H. Noble, U. D. Jentschura","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-05T19:30:11Z","title":"Ultrarelativistic Decoupling Transformation for Generalized Dirac Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02504","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:f9f74c1b0dd661e988cbf7611e921490c39d007977a8256eaa8a050046da4414","target":"record","created_at":"2026-05-18T01:36:09Z","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":"6b9b0caf547b94ad201245a205388a8bdd5a20b6008e4e22b419698623f0b96b","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-05T19:30:11Z","title_canon_sha256":"f94784fcf3959fd2e324192e81ea8cead769f4be80615807e74b1afe769905f2"},"schema_version":"1.0","source":{"id":"1506.02504","kind":"arxiv","version":1}},"canonical_sha256":"570b102c33316ac91e77df0a570788f50e75872d1f509f115ae97787e10ed580","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"570b102c33316ac91e77df0a570788f50e75872d1f509f115ae97787e10ed580","first_computed_at":"2026-05-18T01:36:09.034714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:09.034714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MQDVXFlxwjo0NkZJ+92D432HWbcnLkoRuQjYsibud6gQ9mmg2RBZMCIINUc/GQvk6XrHzC7xNrkIglrtuXj+Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:09.035275Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.02504","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9f74c1b0dd661e988cbf7611e921490c39d007977a8256eaa8a050046da4414","sha256:1e46b7a4838aff5b6a77589fff666388d0408242f6230989995db5739a052ad3"],"state_sha256":"648cd27cc7bbb1a963f055f7570f1dde91eb62ebdbb6f1e98ca3ba696a7c983e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6b3KYCxcuiiQm2xoVJXsY8oewRidjT1Y1lB3h/IlMvO4SRHoMzmmn/bPE8rHCnNvdeD628Px5Gga9yyiMYxkBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:54:33.277792Z","bundle_sha256":"9de97d0a45755ef5b277d9b78378dd5c70b6a387547812e93c475f7064faf7e9"}}