{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:HJKETNG4RLAOXJA3EQQF4EZMTF","short_pith_number":"pith:HJKETNG4","canonical_record":{"source":{"id":"1604.07951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-27T07:11:37Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"title_canon_sha256":"9c8aeba2a5007f3c2f66c629c1fcfb0044dc5647307b9507bc98465eca56972c","abstract_canon_sha256":"6b832927443d283ece4e982c3f8f8f4ad31eaedee059a8b5a6391583a2e3c030"},"schema_version":"1.0"},"canonical_sha256":"3a5449b4dc8ac0eba41b24205e132c996f79a603189c4239e3235921686c1c1c","source":{"kind":"arxiv","id":"1604.07951","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07951","created_at":"2026-05-18T00:49:18Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07951v1","created_at":"2026-05-18T00:49:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07951","created_at":"2026-05-18T00:49:18Z"},{"alias_kind":"pith_short_12","alias_value":"HJKETNG4RLAO","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HJKETNG4RLAOXJA3","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HJKETNG4","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:HJKETNG4RLAOXJA3EQQF4EZMTF","target":"record","payload":{"canonical_record":{"source":{"id":"1604.07951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-27T07:11:37Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"title_canon_sha256":"9c8aeba2a5007f3c2f66c629c1fcfb0044dc5647307b9507bc98465eca56972c","abstract_canon_sha256":"6b832927443d283ece4e982c3f8f8f4ad31eaedee059a8b5a6391583a2e3c030"},"schema_version":"1.0"},"canonical_sha256":"3a5449b4dc8ac0eba41b24205e132c996f79a603189c4239e3235921686c1c1c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:18.798597Z","signature_b64":"KZ1dePTD0qnxsRWQVVEkz3MvtlA2eC2x7+2AtS7EK6pZDX7zl5ix92cnx7/u8y3qSOjTxV5Hil0392MQhGS1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a5449b4dc8ac0eba41b24205e132c996f79a603189c4239e3235921686c1c1c","last_reissued_at":"2026-05-18T00:49:18.798182Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:18.798182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.07951","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":"2026-05-18T00:49:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FEGeuP6LkVPHbHJK2wEQ/Y1BSBkfX9hBRNwqwJEfcYX5KnepMbyyS2vcFncKR3mkjMTE8tMRbv466d9gpSX2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:01:33.175382Z"},"content_sha256":"504ab0fbdf4aedbaa7fd7f8bcdd6bda718b841b3d34ed52d7bdbe2afb43acde4","schema_version":"1.0","event_id":"sha256:504ab0fbdf4aedbaa7fd7f8bcdd6bda718b841b3d34ed52d7bdbe2afb43acde4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:HJKETNG4RLAOXJA3EQQF4EZMTF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics of Local Symmetry Correlators for Interacting Many-Particle Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"primary_cat":"quant-ph","authors_text":"Fotis Diakonos, Peter Schmelcher, Sven Kr\\\"onke","submitted_at":"2016-04-27T07:11:37Z","abstract_excerpt":"Recently (PRL 113, 050403 (2014)) the concept of local symmetries in one-dimensional stationary wave propagation has been shown to lead to a class of invariant two-point currents that allow to generalize the parity and Bloch theorem. In the present work we establish the theoretical framework of local symmetries for higher-dimensional interacting many-body systems. Based on the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy we derive the equations of motion of local symmetry correlators which are off-diagonal elements of the reduced one-body density matrix at symmetry related positions. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07951","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":"2026-05-18T00:49:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AMgfc7rkeDgQeMf2Uw/JVUVWAna0gAaLpbdRPqHVS2O4Vb2Qp52pdQ9loEmDKE7Xkl0N9cM7GYYzrAea4pClDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:01:33.175746Z"},"content_sha256":"adfa1edd9cba96c242d587e9fcd1fa60a79464e23f3ab5eaaabc5e34f28a0f44","schema_version":"1.0","event_id":"sha256:adfa1edd9cba96c242d587e9fcd1fa60a79464e23f3ab5eaaabc5e34f28a0f44"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HJKETNG4RLAOXJA3EQQF4EZMTF/bundle.json","state_url":"https://pith.science/pith/HJKETNG4RLAOXJA3EQQF4EZMTF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HJKETNG4RLAOXJA3EQQF4EZMTF/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":"2026-05-28T14:01:33Z","links":{"resolver":"https://pith.science/pith/HJKETNG4RLAOXJA3EQQF4EZMTF","bundle":"https://pith.science/pith/HJKETNG4RLAOXJA3EQQF4EZMTF/bundle.json","state":"https://pith.science/pith/HJKETNG4RLAOXJA3EQQF4EZMTF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HJKETNG4RLAOXJA3EQQF4EZMTF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HJKETNG4RLAOXJA3EQQF4EZMTF","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":"6b832927443d283ece4e982c3f8f8f4ad31eaedee059a8b5a6391583a2e3c030","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-27T07:11:37Z","title_canon_sha256":"9c8aeba2a5007f3c2f66c629c1fcfb0044dc5647307b9507bc98465eca56972c"},"schema_version":"1.0","source":{"id":"1604.07951","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07951","created_at":"2026-05-18T00:49:18Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07951v1","created_at":"2026-05-18T00:49:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07951","created_at":"2026-05-18T00:49:18Z"},{"alias_kind":"pith_short_12","alias_value":"HJKETNG4RLAO","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HJKETNG4RLAOXJA3","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HJKETNG4","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:adfa1edd9cba96c242d587e9fcd1fa60a79464e23f3ab5eaaabc5e34f28a0f44","target":"graph","created_at":"2026-05-18T00:49:18Z","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":"Recently (PRL 113, 050403 (2014)) the concept of local symmetries in one-dimensional stationary wave propagation has been shown to lead to a class of invariant two-point currents that allow to generalize the parity and Bloch theorem. In the present work we establish the theoretical framework of local symmetries for higher-dimensional interacting many-body systems. Based on the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy we derive the equations of motion of local symmetry correlators which are off-diagonal elements of the reduced one-body density matrix at symmetry related positions. ","authors_text":"Fotis Diakonos, Peter Schmelcher, Sven Kr\\\"onke","cross_cats":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-27T07:11:37Z","title":"Dynamics of Local Symmetry Correlators for Interacting Many-Particle Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07951","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":"sha256:504ab0fbdf4aedbaa7fd7f8bcdd6bda718b841b3d34ed52d7bdbe2afb43acde4","target":"record","created_at":"2026-05-18T00:49:18Z","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":"6b832927443d283ece4e982c3f8f8f4ad31eaedee059a8b5a6391583a2e3c030","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-27T07:11:37Z","title_canon_sha256":"9c8aeba2a5007f3c2f66c629c1fcfb0044dc5647307b9507bc98465eca56972c"},"schema_version":"1.0","source":{"id":"1604.07951","kind":"arxiv","version":1}},"canonical_sha256":"3a5449b4dc8ac0eba41b24205e132c996f79a603189c4239e3235921686c1c1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a5449b4dc8ac0eba41b24205e132c996f79a603189c4239e3235921686c1c1c","first_computed_at":"2026-05-18T00:49:18.798182Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:18.798182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KZ1dePTD0qnxsRWQVVEkz3MvtlA2eC2x7+2AtS7EK6pZDX7zl5ix92cnx7/u8y3qSOjTxV5Hil0392MQhGS1Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:18.798597Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.07951","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:504ab0fbdf4aedbaa7fd7f8bcdd6bda718b841b3d34ed52d7bdbe2afb43acde4","sha256:adfa1edd9cba96c242d587e9fcd1fa60a79464e23f3ab5eaaabc5e34f28a0f44"],"state_sha256":"33758f32b7c5f548e180e036a874677496a52976dbea813b307817e1e698921c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PuHs+bauZSh1TuAIPzdRXunK73eMFAC32dP1eLr5F4CQFw1xGm3MdXke2Fqy4HIm7qYYnU+EXbM7BurP29RfDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:01:33.178011Z","bundle_sha256":"abf2b2ff2d318ee4cfee287a96c1f531bfe66b608e7a5326df9adfb036d73be2"}}