{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:IJE6IGGKDU6GF3E3NUFHLBOKCL","short_pith_number":"pith:IJE6IGGK","canonical_record":{"source":{"id":"0910.5707","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-29T19:15:57Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"f012762235b3d1f5df920df3995c6ec205c5d028d265febf45d25da75c664a14","abstract_canon_sha256":"fa5d385aa540a4a4a714031e03f13686188ad79942c6a21d26ab365dad4f181b"},"schema_version":"1.0"},"canonical_sha256":"4249e418ca1d3c62ec9b6d0a7585ca12e3e2f2c5d0165b6f30e26bf7d1a967b3","source":{"kind":"arxiv","id":"0910.5707","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.5707","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"arxiv_version","alias_value":"0910.5707v2","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5707","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"pith_short_12","alias_value":"IJE6IGGKDU6G","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"IJE6IGGKDU6GF3E3","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"IJE6IGGK","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:IJE6IGGKDU6GF3E3NUFHLBOKCL","target":"record","payload":{"canonical_record":{"source":{"id":"0910.5707","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-29T19:15:57Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"f012762235b3d1f5df920df3995c6ec205c5d028d265febf45d25da75c664a14","abstract_canon_sha256":"fa5d385aa540a4a4a714031e03f13686188ad79942c6a21d26ab365dad4f181b"},"schema_version":"1.0"},"canonical_sha256":"4249e418ca1d3c62ec9b6d0a7585ca12e3e2f2c5d0165b6f30e26bf7d1a967b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:22.237981Z","signature_b64":"Z1YFuCptEoMJvZlahOUL+yU2ARzK4V40Ii54wBL8QUjx2jcwq761mj2lJe3rH/IYSml2W0tFq97s0Ysqd5oOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4249e418ca1d3c62ec9b6d0a7585ca12e3e2f2c5d0165b6f30e26bf7d1a967b3","last_reissued_at":"2026-05-18T04:37:22.237373Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:22.237373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.5707","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:37:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zprjv58JIqBznJxA3L7Q+yrzbWLjtG9drC5//p6WIWeo1KaudSVDJjFhTG4jGwHjdSKp1tgQb8aF/v+Qbzf+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:07:15.156877Z"},"content_sha256":"1e8378b437b403b1b1b3aa8645dcdb5b3345cb3fad11e20c7520fc73e9a31e76","schema_version":"1.0","event_id":"sha256:1e8378b437b403b1b1b3aa8645dcdb5b3345cb3fad11e20c7520fc73e9a31e76"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:IJE6IGGKDU6GF3E3NUFHLBOKCL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The kinetic regime of the Vicsek model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"A.A. Chepizhko, V.L. Kulinskii","submitted_at":"2009-10-29T19:15:57Z","abstract_excerpt":"We consider the dynamics of the system of self propelling particles modeled via the Vicsek algorithm in continuum time limit. It is shown that the alignment process for the velocities can be subdivided into two regimes: \"fast\" kinetic and \"slow\" hydrodynamic ones. In fast kinetic regime the alignment of the particle velocity to the local neighborhood takes place with characteristic relaxation time. So that the bigger regions arise with the velocity alignment. These regions align their velocities thus giving rise to hydrodynamic regime of the dynamics. We propose the mean-field like approach in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5707","kind":"arxiv","version":2},"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":"2026-05-18T04:37:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LiwXHpRrwz9oz4M0Trze8qDFKAq/n3F1mClSV4GzF+FV4Uy6U2SkZDd8xRwuRPTPtqRbMYhUULO3HBoVQ4RBDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:07:15.157222Z"},"content_sha256":"1d3eb0501d7328170c5c2987604cbd0c343684740dfe548cdb28c456b261eda5","schema_version":"1.0","event_id":"sha256:1d3eb0501d7328170c5c2987604cbd0c343684740dfe548cdb28c456b261eda5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IJE6IGGKDU6GF3E3NUFHLBOKCL/bundle.json","state_url":"https://pith.science/pith/IJE6IGGKDU6GF3E3NUFHLBOKCL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IJE6IGGKDU6GF3E3NUFHLBOKCL/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":"2026-05-28T10:07:15Z","links":{"resolver":"https://pith.science/pith/IJE6IGGKDU6GF3E3NUFHLBOKCL","bundle":"https://pith.science/pith/IJE6IGGKDU6GF3E3NUFHLBOKCL/bundle.json","state":"https://pith.science/pith/IJE6IGGKDU6GF3E3NUFHLBOKCL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IJE6IGGKDU6GF3E3NUFHLBOKCL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:IJE6IGGKDU6GF3E3NUFHLBOKCL","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":"fa5d385aa540a4a4a714031e03f13686188ad79942c6a21d26ab365dad4f181b","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-29T19:15:57Z","title_canon_sha256":"f012762235b3d1f5df920df3995c6ec205c5d028d265febf45d25da75c664a14"},"schema_version":"1.0","source":{"id":"0910.5707","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.5707","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"arxiv_version","alias_value":"0910.5707v2","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5707","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"pith_short_12","alias_value":"IJE6IGGKDU6G","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"IJE6IGGKDU6GF3E3","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"IJE6IGGK","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:1d3eb0501d7328170c5c2987604cbd0c343684740dfe548cdb28c456b261eda5","target":"graph","created_at":"2026-05-18T04:37:22Z","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":"We consider the dynamics of the system of self propelling particles modeled via the Vicsek algorithm in continuum time limit. It is shown that the alignment process for the velocities can be subdivided into two regimes: \"fast\" kinetic and \"slow\" hydrodynamic ones. In fast kinetic regime the alignment of the particle velocity to the local neighborhood takes place with characteristic relaxation time. So that the bigger regions arise with the velocity alignment. These regions align their velocities thus giving rise to hydrodynamic regime of the dynamics. We propose the mean-field like approach in","authors_text":"A.A. Chepizhko, V.L. Kulinskii","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-29T19:15:57Z","title":"The kinetic regime of the Vicsek model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5707","kind":"arxiv","version":2},"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":"sha256:1e8378b437b403b1b1b3aa8645dcdb5b3345cb3fad11e20c7520fc73e9a31e76","target":"record","created_at":"2026-05-18T04:37:22Z","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":"fa5d385aa540a4a4a714031e03f13686188ad79942c6a21d26ab365dad4f181b","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-29T19:15:57Z","title_canon_sha256":"f012762235b3d1f5df920df3995c6ec205c5d028d265febf45d25da75c664a14"},"schema_version":"1.0","source":{"id":"0910.5707","kind":"arxiv","version":2}},"canonical_sha256":"4249e418ca1d3c62ec9b6d0a7585ca12e3e2f2c5d0165b6f30e26bf7d1a967b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4249e418ca1d3c62ec9b6d0a7585ca12e3e2f2c5d0165b6f30e26bf7d1a967b3","first_computed_at":"2026-05-18T04:37:22.237373Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:22.237373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z1YFuCptEoMJvZlahOUL+yU2ARzK4V40Ii54wBL8QUjx2jcwq761mj2lJe3rH/IYSml2W0tFq97s0Ysqd5oOCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:22.237981Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.5707","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e8378b437b403b1b1b3aa8645dcdb5b3345cb3fad11e20c7520fc73e9a31e76","sha256:1d3eb0501d7328170c5c2987604cbd0c343684740dfe548cdb28c456b261eda5"],"state_sha256":"69eb2151a94d9289662e2c7e8905216924cbdda1bb4543090c8450cc6d85d4c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5+xnT+n/Pjt0/V8cTRkqOOwTJWlKN8W+j7bcPMZr5C5sj56cm1aGgLx3UThmTxFDpqMWpmsF18HtDIMVffk3Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:07:15.159192Z","bundle_sha256":"0a7aa6e02f36029442b36d074df586492d6e590df2689d6bc8e1a04774d406d0"}}