{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:NCHBSYI5LYP3525H7KEI54F3CM","short_pith_number":"pith:NCHBSYI5","canonical_record":{"source":{"id":"1301.5890","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-01-24T20:38:13Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"1d70fd37aba0073e3e555e86d7b2df414bdea385a60b0db3ee27e9dd3bf9cd86","abstract_canon_sha256":"f9d99411fad303509444457b0695472e0fb2e3586deb2b3faa213b699f2e04f9"},"schema_version":"1.0"},"canonical_sha256":"688e19611d5e1fbeeba7fa888ef0bb1325a6a548db276b97ab56413f5059a7aa","source":{"kind":"arxiv","id":"1301.5890","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5890","created_at":"2026-05-18T01:16:03Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5890v3","created_at":"2026-05-18T01:16:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5890","created_at":"2026-05-18T01:16:03Z"},{"alias_kind":"pith_short_12","alias_value":"NCHBSYI5LYP3","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NCHBSYI5LYP3525H","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NCHBSYI5","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:NCHBSYI5LYP3525H7KEI54F3CM","target":"record","payload":{"canonical_record":{"source":{"id":"1301.5890","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-01-24T20:38:13Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"1d70fd37aba0073e3e555e86d7b2df414bdea385a60b0db3ee27e9dd3bf9cd86","abstract_canon_sha256":"f9d99411fad303509444457b0695472e0fb2e3586deb2b3faa213b699f2e04f9"},"schema_version":"1.0"},"canonical_sha256":"688e19611d5e1fbeeba7fa888ef0bb1325a6a548db276b97ab56413f5059a7aa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:03.105100Z","signature_b64":"mKtXJaLrWUSM6magu7B+05QW0VM9rhspRP0Drd/kRz0hLrbjJP5wrQp/1cCTz1CBeLzQ2rQk2Svmy8lKB91QCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"688e19611d5e1fbeeba7fa888ef0bb1325a6a548db276b97ab56413f5059a7aa","last_reissued_at":"2026-05-18T01:16:03.104368Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:03.104368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.5890","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":"2026-05-18T01:16:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ObVFl6rc5Nikub8IuEOg4Xc/0ZF4AjptNBN6u2a3tH+pDXThg8HmJtFGomVcHXYX1s3hKaFz9SIjvy9CxKXTAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:46:16.572649Z"},"content_sha256":"e625196d1ba0dd7e2f2f2ad03fdfa550f7fe4464b6bb5d16e93bfeea0855f5be","schema_version":"1.0","event_id":"sha256:e625196d1ba0dd7e2f2f2ad03fdfa550f7fe4464b6bb5d16e93bfeea0855f5be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:NCHBSYI5LYP3525H7KEI54F3CM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Self-propelled particles with selective attraction-repulsion interaction - From microscopic dynamics to coarse-grained theories","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, Pawel Romanczuk, Robert Grossmann","submitted_at":"2013-01-24T20:38:13Z","abstract_excerpt":"In this work we derive and analyze coarse-grained descriptions of self-propelled particles with selective attraction-repulsion interaction, where individuals may respond differently to their neighbours depending on their relative state of motion (approach versus movement away). Based on the formulation of a nonlinear Fokker-Planck equation, we derive a kinetic description of the system dynamics in terms of equations for the Fourier modes of a one-particle density function. This approach allows effective numerical investigation of the stability of possible solutions of the system. The detailed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5890","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":""},"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":"2026-05-18T01:16:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lHkRhBi5kJADy1KLot19CsQBdmFvRpkoLHGCpt0bpoQELaY1vmjkybyrKarVMCUerPwxHiQnfG/HNNxD3ieYBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:46:16.573154Z"},"content_sha256":"a290986cf926a4c1769676d2f5654ec0ebe667089d1d30f5d03619ed8cd72a20","schema_version":"1.0","event_id":"sha256:a290986cf926a4c1769676d2f5654ec0ebe667089d1d30f5d03619ed8cd72a20"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NCHBSYI5LYP3525H7KEI54F3CM/bundle.json","state_url":"https://pith.science/pith/NCHBSYI5LYP3525H7KEI54F3CM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NCHBSYI5LYP3525H7KEI54F3CM/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":"2026-06-05T09:46:16Z","links":{"resolver":"https://pith.science/pith/NCHBSYI5LYP3525H7KEI54F3CM","bundle":"https://pith.science/pith/NCHBSYI5LYP3525H7KEI54F3CM/bundle.json","state":"https://pith.science/pith/NCHBSYI5LYP3525H7KEI54F3CM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NCHBSYI5LYP3525H7KEI54F3CM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NCHBSYI5LYP3525H7KEI54F3CM","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":"f9d99411fad303509444457b0695472e0fb2e3586deb2b3faa213b699f2e04f9","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-01-24T20:38:13Z","title_canon_sha256":"1d70fd37aba0073e3e555e86d7b2df414bdea385a60b0db3ee27e9dd3bf9cd86"},"schema_version":"1.0","source":{"id":"1301.5890","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5890","created_at":"2026-05-18T01:16:03Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5890v3","created_at":"2026-05-18T01:16:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5890","created_at":"2026-05-18T01:16:03Z"},{"alias_kind":"pith_short_12","alias_value":"NCHBSYI5LYP3","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NCHBSYI5LYP3525H","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NCHBSYI5","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:a290986cf926a4c1769676d2f5654ec0ebe667089d1d30f5d03619ed8cd72a20","target":"graph","created_at":"2026-05-18T01:16:03Z","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":"In this work we derive and analyze coarse-grained descriptions of self-propelled particles with selective attraction-repulsion interaction, where individuals may respond differently to their neighbours depending on their relative state of motion (approach versus movement away). Based on the formulation of a nonlinear Fokker-Planck equation, we derive a kinetic description of the system dynamics in terms of equations for the Fourier modes of a one-particle density function. This approach allows effective numerical investigation of the stability of possible solutions of the system. The detailed ","authors_text":"Lutz Schimansky-Geier, 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":"2013-01-24T20:38:13Z","title":"Self-propelled particles with selective attraction-repulsion interaction - From microscopic dynamics to coarse-grained theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5890","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:e625196d1ba0dd7e2f2f2ad03fdfa550f7fe4464b6bb5d16e93bfeea0855f5be","target":"record","created_at":"2026-05-18T01:16:03Z","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":"f9d99411fad303509444457b0695472e0fb2e3586deb2b3faa213b699f2e04f9","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-01-24T20:38:13Z","title_canon_sha256":"1d70fd37aba0073e3e555e86d7b2df414bdea385a60b0db3ee27e9dd3bf9cd86"},"schema_version":"1.0","source":{"id":"1301.5890","kind":"arxiv","version":3}},"canonical_sha256":"688e19611d5e1fbeeba7fa888ef0bb1325a6a548db276b97ab56413f5059a7aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"688e19611d5e1fbeeba7fa888ef0bb1325a6a548db276b97ab56413f5059a7aa","first_computed_at":"2026-05-18T01:16:03.104368Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:03.104368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mKtXJaLrWUSM6magu7B+05QW0VM9rhspRP0Drd/kRz0hLrbjJP5wrQp/1cCTz1CBeLzQ2rQk2Svmy8lKB91QCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:03.105100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.5890","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e625196d1ba0dd7e2f2f2ad03fdfa550f7fe4464b6bb5d16e93bfeea0855f5be","sha256:a290986cf926a4c1769676d2f5654ec0ebe667089d1d30f5d03619ed8cd72a20"],"state_sha256":"75659dc64535fe326836eb929563afd96c4d5d62649c0fbbe38f17985130756a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sk8m74so0eiRcczONJo316Xu4mCJv+Gv4k5yjeg2/oqaM6BMQ75bk36qbzTZoXX1OhdQR27MKsddBFTALhCFDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T09:46:16.575371Z","bundle_sha256":"92818faa8a418755b7683227c7ac77fff1fea5bbfb30986a7699921c21317635"}}