{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:R2UY5MDTFI2CCQ7TTO2A33AAEA","short_pith_number":"pith:R2UY5MDT","canonical_record":{"source":{"id":"2506.00792","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-06-01T02:44:14Z","cross_cats_sorted":[],"title_canon_sha256":"9ab698750810fe56c5a5a4fdbca33353c24c24ecc1629d72465b894b144e81e8","abstract_canon_sha256":"77962c48e53237da7313c2a73526180a7b54f0feefd33c91ce13f8f667311621"},"schema_version":"1.0"},"canonical_sha256":"8ea98eb0732a342143f39bb40dec00203a4a2f5265525d5ecb371d033f7ceb5a","source":{"kind":"arxiv","id":"2506.00792","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.00792","created_at":"2026-06-01T01:02:16Z"},{"alias_kind":"arxiv_version","alias_value":"2506.00792v3","created_at":"2026-06-01T01:02:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00792","created_at":"2026-06-01T01:02:16Z"},{"alias_kind":"pith_short_12","alias_value":"R2UY5MDTFI2C","created_at":"2026-06-01T01:02:16Z"},{"alias_kind":"pith_short_16","alias_value":"R2UY5MDTFI2CCQ7T","created_at":"2026-06-01T01:02:16Z"},{"alias_kind":"pith_short_8","alias_value":"R2UY5MDT","created_at":"2026-06-01T01:02:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:R2UY5MDTFI2CCQ7TTO2A33AAEA","target":"record","payload":{"canonical_record":{"source":{"id":"2506.00792","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-06-01T02:44:14Z","cross_cats_sorted":[],"title_canon_sha256":"9ab698750810fe56c5a5a4fdbca33353c24c24ecc1629d72465b894b144e81e8","abstract_canon_sha256":"77962c48e53237da7313c2a73526180a7b54f0feefd33c91ce13f8f667311621"},"schema_version":"1.0"},"canonical_sha256":"8ea98eb0732a342143f39bb40dec00203a4a2f5265525d5ecb371d033f7ceb5a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-01T01:02:16.549272Z","signature_b64":"DlvJkSUEKZtAMobuUSuuwyYdvsf4+Veamf1L+8iJqiJD1udamw27tSQ+2pqrfH1/QA53tEtLcOuno/n97L3jDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ea98eb0732a342143f39bb40dec00203a4a2f5265525d5ecb371d033f7ceb5a","last_reissued_at":"2026-06-01T01:02:16.548100Z","signature_status":"signed_v1","first_computed_at":"2026-06-01T01:02:16.548100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.00792","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-01T01:02:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rwsfDF+evX221JHrx3pqRrhd5yZckxjOpY+YOj+BqgLOkNTKE5Qc0xRmDcgl3m+ITASpf/VEp/HNRl3YSy2ZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T01:55:54.180606Z"},"content_sha256":"c28f1b21d13ca562e5fa0468f171dc5958c9ecc6374dff1403922c7e3524ab98","schema_version":"1.0","event_id":"sha256:c28f1b21d13ca562e5fa0468f171dc5958c9ecc6374dff1403922c7e3524ab98"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:R2UY5MDTFI2CCQ7TTO2A33AAEA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fr\\\"ohlich Condensation of Bosons: Graph texture of curl flux network for nonequilibrium properties","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Chase Slowey, Dangyuan Lei, Feihong Liu, Jeremie Torres, Xuanhua Wang, Zhedong Zhang, Zhiyue Lu","submitted_at":"2025-06-01T02:44:14Z","abstract_excerpt":"Nonequilibrium condensates of bosons subject to energy pump and dissipation are investigated, manifesting the Fr\\\"ohlich coherence proposed in 1968. A quantum theory is developed to capture such a nonequilibrium nature, yielding a certain graphic structure arising from the detailed-balance breaking. The results show a network of probability curl fluxes that reveals a graph topology. The winding number associated with the flux network is thus identified as a new order parameter for the phase transition towards the Fr\\\"ohlich condensation (FC), not attainable by the symmetry breaking. Our work d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00792","kind":"arxiv","version":3},"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/2506.00792/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":"2026-06-01T01:02:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GO4Gtnnb9oCklvgI+f8Gh8TGCnSEL0sNyHEQ+4PFP1uDVUQ6wvULTmTmVpGv5IaBf3L5tR/Mr5RATq1p69ygCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T01:55:54.180996Z"},"content_sha256":"358b60be840588f17ec19d547f24dca88581298d1d016ca35714615131d7c04c","schema_version":"1.0","event_id":"sha256:358b60be840588f17ec19d547f24dca88581298d1d016ca35714615131d7c04c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R2UY5MDTFI2CCQ7TTO2A33AAEA/bundle.json","state_url":"https://pith.science/pith/R2UY5MDTFI2CCQ7TTO2A33AAEA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R2UY5MDTFI2CCQ7TTO2A33AAEA/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":"2026-06-07T01:55:54Z","links":{"resolver":"https://pith.science/pith/R2UY5MDTFI2CCQ7TTO2A33AAEA","bundle":"https://pith.science/pith/R2UY5MDTFI2CCQ7TTO2A33AAEA/bundle.json","state":"https://pith.science/pith/R2UY5MDTFI2CCQ7TTO2A33AAEA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R2UY5MDTFI2CCQ7TTO2A33AAEA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:R2UY5MDTFI2CCQ7TTO2A33AAEA","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":"77962c48e53237da7313c2a73526180a7b54f0feefd33c91ce13f8f667311621","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-06-01T02:44:14Z","title_canon_sha256":"9ab698750810fe56c5a5a4fdbca33353c24c24ecc1629d72465b894b144e81e8"},"schema_version":"1.0","source":{"id":"2506.00792","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.00792","created_at":"2026-06-01T01:02:16Z"},{"alias_kind":"arxiv_version","alias_value":"2506.00792v3","created_at":"2026-06-01T01:02:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00792","created_at":"2026-06-01T01:02:16Z"},{"alias_kind":"pith_short_12","alias_value":"R2UY5MDTFI2C","created_at":"2026-06-01T01:02:16Z"},{"alias_kind":"pith_short_16","alias_value":"R2UY5MDTFI2CCQ7T","created_at":"2026-06-01T01:02:16Z"},{"alias_kind":"pith_short_8","alias_value":"R2UY5MDT","created_at":"2026-06-01T01:02:16Z"}],"graph_snapshots":[{"event_id":"sha256:358b60be840588f17ec19d547f24dca88581298d1d016ca35714615131d7c04c","target":"graph","created_at":"2026-06-01T01:02:16Z","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/2506.00792/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Nonequilibrium condensates of bosons subject to energy pump and dissipation are investigated, manifesting the Fr\\\"ohlich coherence proposed in 1968. A quantum theory is developed to capture such a nonequilibrium nature, yielding a certain graphic structure arising from the detailed-balance breaking. The results show a network of probability curl fluxes that reveals a graph topology. The winding number associated with the flux network is thus identified as a new order parameter for the phase transition towards the Fr\\\"ohlich condensation (FC), not attainable by the symmetry breaking. Our work d","authors_text":"Chase Slowey, Dangyuan Lei, Feihong Liu, Jeremie Torres, Xuanhua Wang, Zhedong Zhang, Zhiyue Lu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-06-01T02:44:14Z","title":"Fr\\\"ohlich Condensation of Bosons: Graph texture of curl flux network for nonequilibrium properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00792","kind":"arxiv","version":3},"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:c28f1b21d13ca562e5fa0468f171dc5958c9ecc6374dff1403922c7e3524ab98","target":"record","created_at":"2026-06-01T01:02:16Z","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":"77962c48e53237da7313c2a73526180a7b54f0feefd33c91ce13f8f667311621","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-06-01T02:44:14Z","title_canon_sha256":"9ab698750810fe56c5a5a4fdbca33353c24c24ecc1629d72465b894b144e81e8"},"schema_version":"1.0","source":{"id":"2506.00792","kind":"arxiv","version":3}},"canonical_sha256":"8ea98eb0732a342143f39bb40dec00203a4a2f5265525d5ecb371d033f7ceb5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ea98eb0732a342143f39bb40dec00203a4a2f5265525d5ecb371d033f7ceb5a","first_computed_at":"2026-06-01T01:02:16.548100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-01T01:02:16.548100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DlvJkSUEKZtAMobuUSuuwyYdvsf4+Veamf1L+8iJqiJD1udamw27tSQ+2pqrfH1/QA53tEtLcOuno/n97L3jDA==","signature_status":"signed_v1","signed_at":"2026-06-01T01:02:16.549272Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.00792","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c28f1b21d13ca562e5fa0468f171dc5958c9ecc6374dff1403922c7e3524ab98","sha256:358b60be840588f17ec19d547f24dca88581298d1d016ca35714615131d7c04c"],"state_sha256":"0c2976af91a978a1814d65a3a5ab043831ef7bbb2120d9e3e613a9d3cb414f91"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pD2LnPz02HrdWY9YC/cBLP3duXFylfqefwL6cdBYxV9FSsoJ/bJOhkHAPbvXiwOxejj4ppJRhuCb2+X3d+hxCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T01:55:54.183097Z","bundle_sha256":"a1996112387045ad1cbeccafa5d0ded5ae7eeaab6bf888c5a43382449d6c73b6"}}