{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:6CB7XPJLZZX63PXNEZNQMAU3PJ","short_pith_number":"pith:6CB7XPJL","canonical_record":{"source":{"id":"2305.13908","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-05-23T10:31:40Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"22b45bd91c87dce9b50e89e4b3c59ee55fd03a968620c8c2ca0fe16749d1547c","abstract_canon_sha256":"9e65a2e730efa752cb12bb12de8af3f9bb9bb46df86dee17d312809c0eab8162"},"schema_version":"1.0"},"canonical_sha256":"f083fbbd2bce6fedbeed265b06029b7a52710f3ef1ca76b53d5b4bed317b5981","source":{"kind":"arxiv","id":"2305.13908","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.13908","created_at":"2026-07-05T06:12:58Z"},{"alias_kind":"arxiv_version","alias_value":"2305.13908v1","created_at":"2026-07-05T06:12:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.13908","created_at":"2026-07-05T06:12:58Z"},{"alias_kind":"pith_short_12","alias_value":"6CB7XPJLZZX6","created_at":"2026-07-05T06:12:58Z"},{"alias_kind":"pith_short_16","alias_value":"6CB7XPJLZZX63PXN","created_at":"2026-07-05T06:12:58Z"},{"alias_kind":"pith_short_8","alias_value":"6CB7XPJL","created_at":"2026-07-05T06:12:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:6CB7XPJLZZX63PXNEZNQMAU3PJ","target":"record","payload":{"canonical_record":{"source":{"id":"2305.13908","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-05-23T10:31:40Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"22b45bd91c87dce9b50e89e4b3c59ee55fd03a968620c8c2ca0fe16749d1547c","abstract_canon_sha256":"9e65a2e730efa752cb12bb12de8af3f9bb9bb46df86dee17d312809c0eab8162"},"schema_version":"1.0"},"canonical_sha256":"f083fbbd2bce6fedbeed265b06029b7a52710f3ef1ca76b53d5b4bed317b5981","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:12:58.808132Z","signature_b64":"wjud0R/ERTUudX4vAUN5TdQSFREJs9LdjDgVxcB/0wSiJHJ2QC8mqiBsWBAh0yvm3+swyRPdKvS6fdY9j9MEBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f083fbbd2bce6fedbeed265b06029b7a52710f3ef1ca76b53d5b4bed317b5981","last_reissued_at":"2026-07-05T06:12:58.807793Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:12:58.807793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.13908","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":"2026-07-05T06:12:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pMSVt5+S13v1gTHrIIJf5bA89P7Oa05INaJxnBtqqa9DbaVrZnqERYfyFs53st37DIxF38TbKJCvrV6V9DK7AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T00:06:42.211693Z"},"content_sha256":"74b5aed3eba526c85650daec79fbe6bf1b3d590a05320dde0c7385435ce5720f","schema_version":"1.0","event_id":"sha256:74b5aed3eba526c85650daec79fbe6bf1b3d590a05320dde0c7385435ce5720f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:6CB7XPJLZZX63PXNEZNQMAU3PJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-equilibrium dynamics of dipole-charged fields in the Proca theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Bogdan Damski","submitted_at":"2023-05-23T10:31:40Z","abstract_excerpt":"We discuss the dynamics of field configurations encoded in the certain class of electric (magnetic) dipole-charged states in the Proca theory of the real massive vector field. We construct such states so as to ensure that the long distance structure of the mean electromagnetic field in them is initially set by the formula describing the electromagnetic field of the electric (magnetic) dipole. We analyze then how such a mean electromagnetic field evolves in time. We find that far away from the center of the initial field configuration, the long range component of the mean electromagnetic field "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.13908","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.13908/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":"2026-07-05T06:12:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j4v/I1zE+FICvtHcq4RAAdeKXl9EejEBVsRMTlTKd1sqn5Sm2pGdv4GvdU1QOFn/z85ueUBpftzbdu9paYsKBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T00:06:42.212209Z"},"content_sha256":"edeace6dafa8b7a0c6526e4d656e29a214d25d8f9d9a384f0ca3fa3ff36df682","schema_version":"1.0","event_id":"sha256:edeace6dafa8b7a0c6526e4d656e29a214d25d8f9d9a384f0ca3fa3ff36df682"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6CB7XPJLZZX63PXNEZNQMAU3PJ/bundle.json","state_url":"https://pith.science/pith/6CB7XPJLZZX63PXNEZNQMAU3PJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6CB7XPJLZZX63PXNEZNQMAU3PJ/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":"2026-08-22T00:06:42Z","links":{"resolver":"https://pith.science/pith/6CB7XPJLZZX63PXNEZNQMAU3PJ","bundle":"https://pith.science/pith/6CB7XPJLZZX63PXNEZNQMAU3PJ/bundle.json","state":"https://pith.science/pith/6CB7XPJLZZX63PXNEZNQMAU3PJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6CB7XPJLZZX63PXNEZNQMAU3PJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6CB7XPJLZZX63PXNEZNQMAU3PJ","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":"9e65a2e730efa752cb12bb12de8af3f9bb9bb46df86dee17d312809c0eab8162","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-05-23T10:31:40Z","title_canon_sha256":"22b45bd91c87dce9b50e89e4b3c59ee55fd03a968620c8c2ca0fe16749d1547c"},"schema_version":"1.0","source":{"id":"2305.13908","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.13908","created_at":"2026-07-05T06:12:58Z"},{"alias_kind":"arxiv_version","alias_value":"2305.13908v1","created_at":"2026-07-05T06:12:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.13908","created_at":"2026-07-05T06:12:58Z"},{"alias_kind":"pith_short_12","alias_value":"6CB7XPJLZZX6","created_at":"2026-07-05T06:12:58Z"},{"alias_kind":"pith_short_16","alias_value":"6CB7XPJLZZX63PXN","created_at":"2026-07-05T06:12:58Z"},{"alias_kind":"pith_short_8","alias_value":"6CB7XPJL","created_at":"2026-07-05T06:12:58Z"}],"graph_snapshots":[{"event_id":"sha256:edeace6dafa8b7a0c6526e4d656e29a214d25d8f9d9a384f0ca3fa3ff36df682","target":"graph","created_at":"2026-07-05T06:12:58Z","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/2305.13908/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss the dynamics of field configurations encoded in the certain class of electric (magnetic) dipole-charged states in the Proca theory of the real massive vector field. We construct such states so as to ensure that the long distance structure of the mean electromagnetic field in them is initially set by the formula describing the electromagnetic field of the electric (magnetic) dipole. We analyze then how such a mean electromagnetic field evolves in time. We find that far away from the center of the initial field configuration, the long range component of the mean electromagnetic field ","authors_text":"Bogdan Damski","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-05-23T10:31:40Z","title":"Non-equilibrium dynamics of dipole-charged fields in the Proca theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.13908","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":"sha256:74b5aed3eba526c85650daec79fbe6bf1b3d590a05320dde0c7385435ce5720f","target":"record","created_at":"2026-07-05T06:12:58Z","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":"9e65a2e730efa752cb12bb12de8af3f9bb9bb46df86dee17d312809c0eab8162","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-05-23T10:31:40Z","title_canon_sha256":"22b45bd91c87dce9b50e89e4b3c59ee55fd03a968620c8c2ca0fe16749d1547c"},"schema_version":"1.0","source":{"id":"2305.13908","kind":"arxiv","version":1}},"canonical_sha256":"f083fbbd2bce6fedbeed265b06029b7a52710f3ef1ca76b53d5b4bed317b5981","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f083fbbd2bce6fedbeed265b06029b7a52710f3ef1ca76b53d5b4bed317b5981","first_computed_at":"2026-07-05T06:12:58.807793Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:12:58.807793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wjud0R/ERTUudX4vAUN5TdQSFREJs9LdjDgVxcB/0wSiJHJ2QC8mqiBsWBAh0yvm3+swyRPdKvS6fdY9j9MEBg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:12:58.808132Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.13908","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74b5aed3eba526c85650daec79fbe6bf1b3d590a05320dde0c7385435ce5720f","sha256:edeace6dafa8b7a0c6526e4d656e29a214d25d8f9d9a384f0ca3fa3ff36df682"],"state_sha256":"5da38b18091bdb0c91bea79ca5265a732b4b731dc9e441f991ec1ce3b112b2c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X95FgV5p9kat4bqBIGWoYBmnVQE7FoYdKLRER8qlddvKMYf3qTnybk6Z8Ce8FUtz5j0x7hK9CHu8KGaxS3TSCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T00:06:42.217082Z","bundle_sha256":"5d4299e28ba36ceb113eaf24bba5cf7eec62adadc7c0744eb25742a60eb50be4"}}