{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:4IJZQL6LWDUHVRMIOCGIFUUSVR","short_pith_number":"pith:4IJZQL6L","canonical_record":{"source":{"id":"2507.15159","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2025-07-20T23:52:03Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"e2a3e927afcff9bb9cdfa28bbab840b6ceacdee53d8d82b9fa587446fbff2dee","abstract_canon_sha256":"24ee0adefe32f589242e6a541ad731580095c45faf727d4289be57a78613c312"},"schema_version":"1.0"},"canonical_sha256":"e213982fcbb0e87ac588708c82d292ac4cbb514e0d9d9c70ed387965fc1d6a91","source":{"kind":"arxiv","id":"2507.15159","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.15159","created_at":"2026-07-05T11:40:19Z"},{"alias_kind":"arxiv_version","alias_value":"2507.15159v1","created_at":"2026-07-05T11:40:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.15159","created_at":"2026-07-05T11:40:19Z"},{"alias_kind":"pith_short_12","alias_value":"4IJZQL6LWDUH","created_at":"2026-07-05T11:40:19Z"},{"alias_kind":"pith_short_16","alias_value":"4IJZQL6LWDUHVRMI","created_at":"2026-07-05T11:40:19Z"},{"alias_kind":"pith_short_8","alias_value":"4IJZQL6L","created_at":"2026-07-05T11:40:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:4IJZQL6LWDUHVRMIOCGIFUUSVR","target":"record","payload":{"canonical_record":{"source":{"id":"2507.15159","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2025-07-20T23:52:03Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"e2a3e927afcff9bb9cdfa28bbab840b6ceacdee53d8d82b9fa587446fbff2dee","abstract_canon_sha256":"24ee0adefe32f589242e6a541ad731580095c45faf727d4289be57a78613c312"},"schema_version":"1.0"},"canonical_sha256":"e213982fcbb0e87ac588708c82d292ac4cbb514e0d9d9c70ed387965fc1d6a91","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:40:19.433143Z","signature_b64":"/UUGssrOiZmqQtOCuPO0gY0KAM89yzsHEXkH82i4AiWd8/rSgE+toR+rGHe8GuCwjNmPqcqWMw9Z+iYLefIgCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e213982fcbb0e87ac588708c82d292ac4cbb514e0d9d9c70ed387965fc1d6a91","last_reissued_at":"2026-07-05T11:40:19.432629Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:40:19.432629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.15159","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":"2026-07-05T11:40:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XMpnT1+NoJMSqsA7iZWqCXPfyqQUWQeG04S7miF3JISbVH6tx4lAdD0MEnt3Kg1xwupGJfgJz/MZDOyP8zI/BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T12:12:06.929823Z"},"content_sha256":"2b8c4f566b9789061d71ebda52b99bb57edf5e4d711595eb752ddbaab514f638","schema_version":"1.0","event_id":"sha256:2b8c4f566b9789061d71ebda52b99bb57edf5e4d711595eb752ddbaab514f638"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:4IJZQL6LWDUHVRMIOCGIFUUSVR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"cond-mat.soft","authors_text":"Chiu Fan Lee, John Toner, Leiming Chen","submitted_at":"2025-07-20T23:52:03Z","abstract_excerpt":"Dry active matter in an anisotropic medium is of experimental relevance, and the interplay between anisotropy and the dynamics of the active matter remains under-explored. Here, we derive the hydrodynamic equations of a generic dry polar active fluid that preferentially flows along a particular axis induced by the anisotropy of the medium. We then study its critical behavior at the order-disorder transition in which the symmetry between ``forward\" and ``back\" along the special axis is spontaneously broken. We obtain the critical static and dynamic exponents, mean velocity, and two point correl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.15159","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/2507.15159/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":"2026-07-05T11:40:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1FNRjVq6SGx3AdOYi8IkE6IdS7CEfhnDBTRuU28w3gALhInTBDY/okIyoXI28K71HoFCffVPyTiVpfukPJjrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T12:12:06.930360Z"},"content_sha256":"0a3231aa88facf5ec86aec50716d57f43c8392c455f111de6c5a9433bce8e04f","schema_version":"1.0","event_id":"sha256:0a3231aa88facf5ec86aec50716d57f43c8392c455f111de6c5a9433bce8e04f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4IJZQL6LWDUHVRMIOCGIFUUSVR/bundle.json","state_url":"https://pith.science/pith/4IJZQL6LWDUHVRMIOCGIFUUSVR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4IJZQL6LWDUHVRMIOCGIFUUSVR/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":"2026-08-23T12:12:06Z","links":{"resolver":"https://pith.science/pith/4IJZQL6LWDUHVRMIOCGIFUUSVR","bundle":"https://pith.science/pith/4IJZQL6LWDUHVRMIOCGIFUUSVR/bundle.json","state":"https://pith.science/pith/4IJZQL6LWDUHVRMIOCGIFUUSVR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4IJZQL6LWDUHVRMIOCGIFUUSVR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4IJZQL6LWDUHVRMIOCGIFUUSVR","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":"24ee0adefe32f589242e6a541ad731580095c45faf727d4289be57a78613c312","cross_cats_sorted":["physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2025-07-20T23:52:03Z","title_canon_sha256":"e2a3e927afcff9bb9cdfa28bbab840b6ceacdee53d8d82b9fa587446fbff2dee"},"schema_version":"1.0","source":{"id":"2507.15159","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.15159","created_at":"2026-07-05T11:40:19Z"},{"alias_kind":"arxiv_version","alias_value":"2507.15159v1","created_at":"2026-07-05T11:40:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.15159","created_at":"2026-07-05T11:40:19Z"},{"alias_kind":"pith_short_12","alias_value":"4IJZQL6LWDUH","created_at":"2026-07-05T11:40:19Z"},{"alias_kind":"pith_short_16","alias_value":"4IJZQL6LWDUHVRMI","created_at":"2026-07-05T11:40:19Z"},{"alias_kind":"pith_short_8","alias_value":"4IJZQL6L","created_at":"2026-07-05T11:40:19Z"}],"graph_snapshots":[{"event_id":"sha256:0a3231aa88facf5ec86aec50716d57f43c8392c455f111de6c5a9433bce8e04f","target":"graph","created_at":"2026-07-05T11:40:19Z","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/2507.15159/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Dry active matter in an anisotropic medium is of experimental relevance, and the interplay between anisotropy and the dynamics of the active matter remains under-explored. Here, we derive the hydrodynamic equations of a generic dry polar active fluid that preferentially flows along a particular axis induced by the anisotropy of the medium. We then study its critical behavior at the order-disorder transition in which the symmetry between ``forward\" and ``back\" along the special axis is spontaneously broken. We obtain the critical static and dynamic exponents, mean velocity, and two point correl","authors_text":"Chiu Fan Lee, John Toner, Leiming Chen","cross_cats":["physics.bio-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2025-07-20T23:52:03Z","title":"The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.15159","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":"sha256:2b8c4f566b9789061d71ebda52b99bb57edf5e4d711595eb752ddbaab514f638","target":"record","created_at":"2026-07-05T11:40:19Z","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":"24ee0adefe32f589242e6a541ad731580095c45faf727d4289be57a78613c312","cross_cats_sorted":["physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2025-07-20T23:52:03Z","title_canon_sha256":"e2a3e927afcff9bb9cdfa28bbab840b6ceacdee53d8d82b9fa587446fbff2dee"},"schema_version":"1.0","source":{"id":"2507.15159","kind":"arxiv","version":1}},"canonical_sha256":"e213982fcbb0e87ac588708c82d292ac4cbb514e0d9d9c70ed387965fc1d6a91","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e213982fcbb0e87ac588708c82d292ac4cbb514e0d9d9c70ed387965fc1d6a91","first_computed_at":"2026-07-05T11:40:19.432629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:40:19.432629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/UUGssrOiZmqQtOCuPO0gY0KAM89yzsHEXkH82i4AiWd8/rSgE+toR+rGHe8GuCwjNmPqcqWMw9Z+iYLefIgCw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:40:19.433143Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.15159","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b8c4f566b9789061d71ebda52b99bb57edf5e4d711595eb752ddbaab514f638","sha256:0a3231aa88facf5ec86aec50716d57f43c8392c455f111de6c5a9433bce8e04f"],"state_sha256":"cfc78c954475a8af6ad9272207bedab5413bc1303fe088a37fa36065a7a74fc4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MBShqQGIRGShNCj/MCaZNG95Zmkp7nsPvxIBkxMGa3oUq0DHZ19zt09V0HyTs3fEBfoQn63gJRsC9I/bACloDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T12:12:06.935781Z","bundle_sha256":"035ec79c8622f1052b9ab9fb4b3723a5d41810e11960d916382d753c1a94278f"}}