{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2BMIRXFDCTPVXJ5ECVXPNTI6L6","short_pith_number":"pith:2BMIRXFD","canonical_record":{"source":{"id":"1404.7111","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-04-28T19:42:23Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"c9c7ad3ec7cc844e1106b769d92fa14161bedf164bf9767c61360c2090b270c5","abstract_canon_sha256":"a6abe33e89e426e551cbd8f848a403ef75c1ca936cd4d23e8515a28780b6b185"},"schema_version":"1.0"},"canonical_sha256":"d05888dca314df5ba7a4156ef6cd1e5fa7ad858217a6915cf643e3d2b49f5938","source":{"kind":"arxiv","id":"1404.7111","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.7111","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"arxiv_version","alias_value":"1404.7111v4","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7111","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"pith_short_12","alias_value":"2BMIRXFDCTPV","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"2BMIRXFDCTPVXJ5E","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"2BMIRXFD","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2BMIRXFDCTPVXJ5ECVXPNTI6L6","target":"record","payload":{"canonical_record":{"source":{"id":"1404.7111","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-04-28T19:42:23Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"c9c7ad3ec7cc844e1106b769d92fa14161bedf164bf9767c61360c2090b270c5","abstract_canon_sha256":"a6abe33e89e426e551cbd8f848a403ef75c1ca936cd4d23e8515a28780b6b185"},"schema_version":"1.0"},"canonical_sha256":"d05888dca314df5ba7a4156ef6cd1e5fa7ad858217a6915cf643e3d2b49f5938","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:02.985815Z","signature_b64":"IRzBPlhlJFv/57kX0ldfMjjJ5XJnFEue6o9EcnaYi/vybupQ3H58HayN4wMa+WtGXVRjnB7fqGz3iAHY2MIGCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d05888dca314df5ba7a4156ef6cd1e5fa7ad858217a6915cf643e3d2b49f5938","last_reissued_at":"2026-05-18T01:16:02.985015Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:02.985015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.7111","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:16:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zR6cnIHBCZ2hz9/oBXJdgQ5LT+zoylzdPfR6BNY+8VJgdlc9ONEylyClFBmWylGTim0Vo13qP/UBFe1PoPAkDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T17:16:58.985629Z"},"content_sha256":"740a5eb853bd72ef0525099fb354629c2a555ac0de8d7f87422c0994bd207b01","schema_version":"1.0","event_id":"sha256:740a5eb853bd72ef0525099fb354629c2a555ac0de8d7f87422c0994bd207b01"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2BMIRXFDCTPVXJ5ECVXPNTI6L6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vortex arrays and meso-scale turbulence of self-propelled particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Lutz Schimansky-Geier, Markus B\\\"ar, Pawel Romanczuk, Robert Grossmann","submitted_at":"2014-04-28T19:42:23Z","abstract_excerpt":"Inspired by the Turing mechanism for pattern formation, we propose a simple self-propelled particle model with short-ranged alignment and anti-alignment at larger distances. It is able to produce orientationally ordered states, periodic vortex patterns as well as meso-scale turbulence. The latter phase resembles observations in dense bacterial suspensions. The model allows a systematic derivation and analysis of a kinetic theory as well as hydrodynamic equations for density and momentum fields. A phase diagram with regions of such pattern formation as well as spatially homogeneous orientationa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7111","kind":"arxiv","version":4},"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":"2026-05-18T01:16:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mnfWXdOEl0KkiqpIctSSUp3+maYX658Ru0vJF0K/BY7JE9iSMakPpsduHDVl2w+kcbuZ40MfnleUZq+WAJYhCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T17:16:58.986230Z"},"content_sha256":"51eb26e402690b2225cdab115b64d6472a9a171957ae6ef79f9121de9b545875","schema_version":"1.0","event_id":"sha256:51eb26e402690b2225cdab115b64d6472a9a171957ae6ef79f9121de9b545875"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2BMIRXFDCTPVXJ5ECVXPNTI6L6/bundle.json","state_url":"https://pith.science/pith/2BMIRXFDCTPVXJ5ECVXPNTI6L6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2BMIRXFDCTPVXJ5ECVXPNTI6L6/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":"2026-06-04T17:16:58Z","links":{"resolver":"https://pith.science/pith/2BMIRXFDCTPVXJ5ECVXPNTI6L6","bundle":"https://pith.science/pith/2BMIRXFDCTPVXJ5ECVXPNTI6L6/bundle.json","state":"https://pith.science/pith/2BMIRXFDCTPVXJ5ECVXPNTI6L6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2BMIRXFDCTPVXJ5ECVXPNTI6L6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2BMIRXFDCTPVXJ5ECVXPNTI6L6","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":"a6abe33e89e426e551cbd8f848a403ef75c1ca936cd4d23e8515a28780b6b185","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-04-28T19:42:23Z","title_canon_sha256":"c9c7ad3ec7cc844e1106b769d92fa14161bedf164bf9767c61360c2090b270c5"},"schema_version":"1.0","source":{"id":"1404.7111","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.7111","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"arxiv_version","alias_value":"1404.7111v4","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7111","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"pith_short_12","alias_value":"2BMIRXFDCTPV","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"2BMIRXFDCTPVXJ5E","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"2BMIRXFD","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:51eb26e402690b2225cdab115b64d6472a9a171957ae6ef79f9121de9b545875","target":"graph","created_at":"2026-05-18T01:16:02Z","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":"Inspired by the Turing mechanism for pattern formation, we propose a simple self-propelled particle model with short-ranged alignment and anti-alignment at larger distances. It is able to produce orientationally ordered states, periodic vortex patterns as well as meso-scale turbulence. The latter phase resembles observations in dense bacterial suspensions. The model allows a systematic derivation and analysis of a kinetic theory as well as hydrodynamic equations for density and momentum fields. A phase diagram with regions of such pattern formation as well as spatially homogeneous orientationa","authors_text":"Lutz Schimansky-Geier, Markus B\\\"ar, Pawel Romanczuk, Robert Grossmann","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-04-28T19:42:23Z","title":"Vortex arrays and meso-scale turbulence of self-propelled particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7111","kind":"arxiv","version":4},"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":"sha256:740a5eb853bd72ef0525099fb354629c2a555ac0de8d7f87422c0994bd207b01","target":"record","created_at":"2026-05-18T01:16:02Z","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":"a6abe33e89e426e551cbd8f848a403ef75c1ca936cd4d23e8515a28780b6b185","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-04-28T19:42:23Z","title_canon_sha256":"c9c7ad3ec7cc844e1106b769d92fa14161bedf164bf9767c61360c2090b270c5"},"schema_version":"1.0","source":{"id":"1404.7111","kind":"arxiv","version":4}},"canonical_sha256":"d05888dca314df5ba7a4156ef6cd1e5fa7ad858217a6915cf643e3d2b49f5938","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d05888dca314df5ba7a4156ef6cd1e5fa7ad858217a6915cf643e3d2b49f5938","first_computed_at":"2026-05-18T01:16:02.985015Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:02.985015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IRzBPlhlJFv/57kX0ldfMjjJ5XJnFEue6o9EcnaYi/vybupQ3H58HayN4wMa+WtGXVRjnB7fqGz3iAHY2MIGCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:02.985815Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.7111","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:740a5eb853bd72ef0525099fb354629c2a555ac0de8d7f87422c0994bd207b01","sha256:51eb26e402690b2225cdab115b64d6472a9a171957ae6ef79f9121de9b545875"],"state_sha256":"61d7ff9f888cfbdba2bf2a22d59510630c9d0c97728bfe2e2634e63e359b9618"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"luS9YXDbH3Nu8dEM2YNGmyNwSCCdSOBPgwl06kUiVZASaTcIDZkIw9VSMlPnb/r2ndyfRBNfRtfQ0N4fpJBnDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T17:16:58.989044Z","bundle_sha256":"8baf087b27893d273effd1f23f9ad89e3e961871558ec9718445544c9b138093"}}