{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:US7GLXWPJRAWCXVY7ZFUKOTHPH","short_pith_number":"pith:US7GLXWP","canonical_record":{"source":{"id":"1011.1927","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-11-08T21:38:10Z","cross_cats_sorted":[],"title_canon_sha256":"22c2677066174cf96dae4c6a5f0461617fdca4d1155d26fb2316c4aaa99f4252","abstract_canon_sha256":"f7a40c8a0a0e73530d315965c98fffb6170527b46c052055c74b40b1fa54d845"},"schema_version":"1.0"},"canonical_sha256":"a4be65decf4c41615eb8fe4b453a6779dcfaaaa1ec8ee5b48131a76c35e45ba0","source":{"kind":"arxiv","id":"1011.1927","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.1927","created_at":"2026-05-18T02:04:50Z"},{"alias_kind":"arxiv_version","alias_value":"1011.1927v1","created_at":"2026-05-18T02:04:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1927","created_at":"2026-05-18T02:04:50Z"},{"alias_kind":"pith_short_12","alias_value":"US7GLXWPJRAW","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"US7GLXWPJRAWCXVY","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"US7GLXWP","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:US7GLXWPJRAWCXVY7ZFUKOTHPH","target":"record","payload":{"canonical_record":{"source":{"id":"1011.1927","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-11-08T21:38:10Z","cross_cats_sorted":[],"title_canon_sha256":"22c2677066174cf96dae4c6a5f0461617fdca4d1155d26fb2316c4aaa99f4252","abstract_canon_sha256":"f7a40c8a0a0e73530d315965c98fffb6170527b46c052055c74b40b1fa54d845"},"schema_version":"1.0"},"canonical_sha256":"a4be65decf4c41615eb8fe4b453a6779dcfaaaa1ec8ee5b48131a76c35e45ba0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:50.250100Z","signature_b64":"1aT4QIvGPAVoStLsCtvflRuA0P2uSxx7vdrxhJj3vRNtm809KVwUEi2mUmZ/RJEU4ngmtchO8Qe90cFpF8PzDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4be65decf4c41615eb8fe4b453a6779dcfaaaa1ec8ee5b48131a76c35e45ba0","last_reissued_at":"2026-05-18T02:04:50.249657Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:50.249657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.1927","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":"2026-05-18T02:04:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F+XsdYIvxSoFpJ3NFpvHdfXhJYUfimgiOHI4Bsb6cneFwKZBskXN29qhJ+xRdw1SSxBW1H9brBbSHI+nOwq0DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T18:51:25.745881Z"},"content_sha256":"e8a40bed9f88a7e7a1dcb222e646c2cf658ed61f67b0c8ddd6681660be04cd7c","schema_version":"1.0","event_id":"sha256:e8a40bed9f88a7e7a1dcb222e646c2cf658ed61f67b0c8ddd6681660be04cd7c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:US7GLXWPJRAWCXVY7ZFUKOTHPH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge-invariant formulation of $N N \\to N N \\gamma$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"H. Haberzettl, K. Nakayama","submitted_at":"2010-11-08T21:38:10Z","abstract_excerpt":"A complete, rigorous relativistic field-theory formulation of the nucleon-nucleon (NN) bremsstrahlung reaction is presented. The resulting amplitude is unitary as a matter of course and it is gauge invariant, i.e., it satisfies a generalized Ward-Takahashi identity. The novel feature of this approach is the consistent microscopic implementation of local gauge invariance across all interaction mechanisms of the hadronic systems, thus serving as a constraint for all subprocesses. The formalism is quite readily adapted to approximations and thus can be applied even in cases where the microscopic "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1927","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":"2026-05-18T02:04:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GurdNtnmNsKpKfE7ouRoG/dq6NWKbD+6YCwKPuDn/m2qTWEeaW+KmgYVB/KU6eh9yhoo91jN7clF2CkGhZ7fAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T18:51:25.746592Z"},"content_sha256":"e2eeede008301e8655242c1af1665eb717a01ce36dba6576c51363bcc07ce2b0","schema_version":"1.0","event_id":"sha256:e2eeede008301e8655242c1af1665eb717a01ce36dba6576c51363bcc07ce2b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/US7GLXWPJRAWCXVY7ZFUKOTHPH/bundle.json","state_url":"https://pith.science/pith/US7GLXWPJRAWCXVY7ZFUKOTHPH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/US7GLXWPJRAWCXVY7ZFUKOTHPH/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":"2026-05-18T18:51:25Z","links":{"resolver":"https://pith.science/pith/US7GLXWPJRAWCXVY7ZFUKOTHPH","bundle":"https://pith.science/pith/US7GLXWPJRAWCXVY7ZFUKOTHPH/bundle.json","state":"https://pith.science/pith/US7GLXWPJRAWCXVY7ZFUKOTHPH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/US7GLXWPJRAWCXVY7ZFUKOTHPH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:US7GLXWPJRAWCXVY7ZFUKOTHPH","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":"f7a40c8a0a0e73530d315965c98fffb6170527b46c052055c74b40b1fa54d845","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-11-08T21:38:10Z","title_canon_sha256":"22c2677066174cf96dae4c6a5f0461617fdca4d1155d26fb2316c4aaa99f4252"},"schema_version":"1.0","source":{"id":"1011.1927","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.1927","created_at":"2026-05-18T02:04:50Z"},{"alias_kind":"arxiv_version","alias_value":"1011.1927v1","created_at":"2026-05-18T02:04:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1927","created_at":"2026-05-18T02:04:50Z"},{"alias_kind":"pith_short_12","alias_value":"US7GLXWPJRAW","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"US7GLXWPJRAWCXVY","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"US7GLXWP","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:e2eeede008301e8655242c1af1665eb717a01ce36dba6576c51363bcc07ce2b0","target":"graph","created_at":"2026-05-18T02:04:50Z","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":"A complete, rigorous relativistic field-theory formulation of the nucleon-nucleon (NN) bremsstrahlung reaction is presented. The resulting amplitude is unitary as a matter of course and it is gauge invariant, i.e., it satisfies a generalized Ward-Takahashi identity. The novel feature of this approach is the consistent microscopic implementation of local gauge invariance across all interaction mechanisms of the hadronic systems, thus serving as a constraint for all subprocesses. The formalism is quite readily adapted to approximations and thus can be applied even in cases where the microscopic ","authors_text":"H. Haberzettl, K. Nakayama","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-11-08T21:38:10Z","title":"Gauge-invariant formulation of $N N \\to N N \\gamma$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1927","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:e8a40bed9f88a7e7a1dcb222e646c2cf658ed61f67b0c8ddd6681660be04cd7c","target":"record","created_at":"2026-05-18T02:04:50Z","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":"f7a40c8a0a0e73530d315965c98fffb6170527b46c052055c74b40b1fa54d845","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-11-08T21:38:10Z","title_canon_sha256":"22c2677066174cf96dae4c6a5f0461617fdca4d1155d26fb2316c4aaa99f4252"},"schema_version":"1.0","source":{"id":"1011.1927","kind":"arxiv","version":1}},"canonical_sha256":"a4be65decf4c41615eb8fe4b453a6779dcfaaaa1ec8ee5b48131a76c35e45ba0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4be65decf4c41615eb8fe4b453a6779dcfaaaa1ec8ee5b48131a76c35e45ba0","first_computed_at":"2026-05-18T02:04:50.249657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:50.249657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1aT4QIvGPAVoStLsCtvflRuA0P2uSxx7vdrxhJj3vRNtm809KVwUEi2mUmZ/RJEU4ngmtchO8Qe90cFpF8PzDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:50.250100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.1927","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8a40bed9f88a7e7a1dcb222e646c2cf658ed61f67b0c8ddd6681660be04cd7c","sha256:e2eeede008301e8655242c1af1665eb717a01ce36dba6576c51363bcc07ce2b0"],"state_sha256":"53af2371333cf30e8bbc7b858c2cedb914adaf6dd945f3c261ca0d83013d5e72"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ddsAziqiNe1ZnTYtpGsQeRUSY6pWRo3UHULZyi9iIfnGqmNiSSuIgG5sm/aQKetQu+Zs+kfgmdGTl1h8lNE2AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-18T18:51:25.748662Z","bundle_sha256":"2e4e6d71404354b0faaa8e461a4dd717b354a25a76d9adae731f5b5e265e45d7"}}