{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:B7VX74GSJUPCPGJTKY5S7HBAVT","short_pith_number":"pith:B7VX74GS","canonical_record":{"source":{"id":"2306.05936","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2023-06-09T14:55:59Z","cross_cats_sorted":[],"title_canon_sha256":"d4490803b1147b1d0c076049e5b312e09e9a7dad99bf57305524efc11f3ffb41","abstract_canon_sha256":"6172692e47c66ef43ab5f1e79ae999918f1b672c38e0cf78aa83e79a1760d2cd"},"schema_version":"1.0"},"canonical_sha256":"0feb7ff0d24d1e279933563b2f9c20acdb9d839aee1393b502d7933026e83126","source":{"kind":"arxiv","id":"2306.05936","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.05936","created_at":"2026-07-05T07:14:13Z"},{"alias_kind":"arxiv_version","alias_value":"2306.05936v2","created_at":"2026-07-05T07:14:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.05936","created_at":"2026-07-05T07:14:13Z"},{"alias_kind":"pith_short_12","alias_value":"B7VX74GSJUPC","created_at":"2026-07-05T07:14:13Z"},{"alias_kind":"pith_short_16","alias_value":"B7VX74GSJUPCPGJT","created_at":"2026-07-05T07:14:13Z"},{"alias_kind":"pith_short_8","alias_value":"B7VX74GS","created_at":"2026-07-05T07:14:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:B7VX74GSJUPCPGJTKY5S7HBAVT","target":"record","payload":{"canonical_record":{"source":{"id":"2306.05936","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2023-06-09T14:55:59Z","cross_cats_sorted":[],"title_canon_sha256":"d4490803b1147b1d0c076049e5b312e09e9a7dad99bf57305524efc11f3ffb41","abstract_canon_sha256":"6172692e47c66ef43ab5f1e79ae999918f1b672c38e0cf78aa83e79a1760d2cd"},"schema_version":"1.0"},"canonical_sha256":"0feb7ff0d24d1e279933563b2f9c20acdb9d839aee1393b502d7933026e83126","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:14:13.581871Z","signature_b64":"8iUsYL5dkvcw59gq0LYhDFZkMTBngBWxEGjsAEheKzav6up1o6f0mZ5qnBTgKpiTfz24/3d5ziuMhE9N/B8jAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0feb7ff0d24d1e279933563b2f9c20acdb9d839aee1393b502d7933026e83126","last_reissued_at":"2026-07-05T07:14:13.581360Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:14:13.581360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.05936","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":"2026-07-05T07:14:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sU0RssNoNb03iIUHuk8SF4AJuoe2iEAOkUxzZe+/RO/G5jVk9QCmCsQicEMQJOFeZNMBUARjDzYiCkWILjA9BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T19:12:00.229171Z"},"content_sha256":"c6ec8d776c8f0479cee4d98709268cf4686e0f7841dff0c566b066b588905c27","schema_version":"1.0","event_id":"sha256:c6ec8d776c8f0479cee4d98709268cf4686e0f7841dff0c566b066b588905c27"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:B7VX74GSJUPCPGJTKY5S7HBAVT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum kinetic theory with interactions for massive vector bosons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"David Wagner, Enrico Speranza, Nora Weickgenannt","submitted_at":"2023-06-09T14:55:59Z","abstract_excerpt":"We present a derivation of quantum kinetic theory for massive spin-1 particles from the Wigner-function formalism up to first order in an $\\hbar$-expansion, including a general interaction term. Both local and nonlocal contributions are computed in a covariant fashion. It is shown that, up to first order in $\\hbar$, the collision term takes the same form as in the case of spin-1/2 particles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.05936","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2306.05936/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":"2026-07-05T07:14:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BJlEwBOvFrUG6pVINwaTwn1A5Wk1iY2Y8tBor+kaz02a7O9qKyEOiZHDntLpAYPxpJTJE51w0ypUVGi0+it3Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T19:12:00.229661Z"},"content_sha256":"c1cfcdc8d8c36967fc29c66a0dc48175eb7e07ffbfdf6d0d8ece3e7ae5eca4fb","schema_version":"1.0","event_id":"sha256:c1cfcdc8d8c36967fc29c66a0dc48175eb7e07ffbfdf6d0d8ece3e7ae5eca4fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B7VX74GSJUPCPGJTKY5S7HBAVT/bundle.json","state_url":"https://pith.science/pith/B7VX74GSJUPCPGJTKY5S7HBAVT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B7VX74GSJUPCPGJTKY5S7HBAVT/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":"2026-08-16T19:12:00Z","links":{"resolver":"https://pith.science/pith/B7VX74GSJUPCPGJTKY5S7HBAVT","bundle":"https://pith.science/pith/B7VX74GSJUPCPGJTKY5S7HBAVT/bundle.json","state":"https://pith.science/pith/B7VX74GSJUPCPGJTKY5S7HBAVT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B7VX74GSJUPCPGJTKY5S7HBAVT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:B7VX74GSJUPCPGJTKY5S7HBAVT","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":"6172692e47c66ef43ab5f1e79ae999918f1b672c38e0cf78aa83e79a1760d2cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2023-06-09T14:55:59Z","title_canon_sha256":"d4490803b1147b1d0c076049e5b312e09e9a7dad99bf57305524efc11f3ffb41"},"schema_version":"1.0","source":{"id":"2306.05936","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.05936","created_at":"2026-07-05T07:14:13Z"},{"alias_kind":"arxiv_version","alias_value":"2306.05936v2","created_at":"2026-07-05T07:14:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.05936","created_at":"2026-07-05T07:14:13Z"},{"alias_kind":"pith_short_12","alias_value":"B7VX74GSJUPC","created_at":"2026-07-05T07:14:13Z"},{"alias_kind":"pith_short_16","alias_value":"B7VX74GSJUPCPGJT","created_at":"2026-07-05T07:14:13Z"},{"alias_kind":"pith_short_8","alias_value":"B7VX74GS","created_at":"2026-07-05T07:14:13Z"}],"graph_snapshots":[{"event_id":"sha256:c1cfcdc8d8c36967fc29c66a0dc48175eb7e07ffbfdf6d0d8ece3e7ae5eca4fb","target":"graph","created_at":"2026-07-05T07:14:13Z","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/2306.05936/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a derivation of quantum kinetic theory for massive spin-1 particles from the Wigner-function formalism up to first order in an $\\hbar$-expansion, including a general interaction term. Both local and nonlocal contributions are computed in a covariant fashion. It is shown that, up to first order in $\\hbar$, the collision term takes the same form as in the case of spin-1/2 particles.","authors_text":"David Wagner, Enrico Speranza, Nora Weickgenannt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2023-06-09T14:55:59Z","title":"Quantum kinetic theory with interactions for massive vector bosons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.05936","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:c6ec8d776c8f0479cee4d98709268cf4686e0f7841dff0c566b066b588905c27","target":"record","created_at":"2026-07-05T07:14:13Z","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":"6172692e47c66ef43ab5f1e79ae999918f1b672c38e0cf78aa83e79a1760d2cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2023-06-09T14:55:59Z","title_canon_sha256":"d4490803b1147b1d0c076049e5b312e09e9a7dad99bf57305524efc11f3ffb41"},"schema_version":"1.0","source":{"id":"2306.05936","kind":"arxiv","version":2}},"canonical_sha256":"0feb7ff0d24d1e279933563b2f9c20acdb9d839aee1393b502d7933026e83126","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0feb7ff0d24d1e279933563b2f9c20acdb9d839aee1393b502d7933026e83126","first_computed_at":"2026-07-05T07:14:13.581360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:14:13.581360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8iUsYL5dkvcw59gq0LYhDFZkMTBngBWxEGjsAEheKzav6up1o6f0mZ5qnBTgKpiTfz24/3d5ziuMhE9N/B8jAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:14:13.581871Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.05936","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6ec8d776c8f0479cee4d98709268cf4686e0f7841dff0c566b066b588905c27","sha256:c1cfcdc8d8c36967fc29c66a0dc48175eb7e07ffbfdf6d0d8ece3e7ae5eca4fb"],"state_sha256":"b20a1736384213da555bf5331d105274b552bc95f510ad1c0b76aa648fda97ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"13NqX1z1CGkxgNpO/Hrdi8EJhhcjVRFq6JwcHwDHd2+AUhgs9rIYQMBxFKK9u1hfppAqc6mhDAu1EqRqRGF/Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T19:12:00.238854Z","bundle_sha256":"e11ea6dc32f852104aaafe56be86ebb70fd3a9852909fe6fd7b0617f9b245444"}}