{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:WN3Q6VQ654AIMXQFGXRET7QNRZ","short_pith_number":"pith:WN3Q6VQ6","canonical_record":{"source":{"id":"1107.1053","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-07-06T08:15:34Z","cross_cats_sorted":[],"title_canon_sha256":"e1daa7a4e4587a7272b356b8c1a18c950d1cf250d87ff6322f3e7d99932f6abf","abstract_canon_sha256":"b5d4541008b22703f8ea86d5d0bffdfd32267590dd453a6f3fbc499188453a37"},"schema_version":"1.0"},"canonical_sha256":"b3770f561eef00865e0535e249fe0d8e7bd719c0f9b0e92d1c4407c8e4b31c58","source":{"kind":"arxiv","id":"1107.1053","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1053","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1053v1","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1053","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"pith_short_12","alias_value":"WN3Q6VQ654AI","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WN3Q6VQ654AIMXQF","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WN3Q6VQ6","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:WN3Q6VQ654AIMXQFGXRET7QNRZ","target":"record","payload":{"canonical_record":{"source":{"id":"1107.1053","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-07-06T08:15:34Z","cross_cats_sorted":[],"title_canon_sha256":"e1daa7a4e4587a7272b356b8c1a18c950d1cf250d87ff6322f3e7d99932f6abf","abstract_canon_sha256":"b5d4541008b22703f8ea86d5d0bffdfd32267590dd453a6f3fbc499188453a37"},"schema_version":"1.0"},"canonical_sha256":"b3770f561eef00865e0535e249fe0d8e7bd719c0f9b0e92d1c4407c8e4b31c58","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:46.771664Z","signature_b64":"GFLCMvvBG13TW//RKL2CuJGpJxk5wr06ms1DCzC9re/iEjWlZoGKfDRRODyF4pCTEYA8Od3d0MNrELYKj8rQCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3770f561eef00865e0535e249fe0d8e7bd719c0f9b0e92d1c4407c8e4b31c58","last_reissued_at":"2026-05-18T00:17:46.770985Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:46.770985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.1053","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":"2026-05-18T00:17:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"693gY4IY3Ut8L67CjVBIks9B2OHedi4d8gxAc+X5m19/b52TZBk6tI3TjT/elCd1rXIXYvvw+hFQfN8XUvGSAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T06:52:01.881431Z"},"content_sha256":"583ee6d4e57db3599e87e5aceb544a84bb13e4ee7950a643fb6c26cc23b1c20d","schema_version":"1.0","event_id":"sha256:583ee6d4e57db3599e87e5aceb544a84bb13e4ee7950a643fb6c26cc23b1c20d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:WN3Q6VQ654AIMXQFGXRET7QNRZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Group Chase and Escape with Conversion from Targets to Chasers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Atsushi Kamimura, Katsuhiro Nishinari, Ryosuke Nishi, Toru Ohira","submitted_at":"2011-07-06T08:15:34Z","abstract_excerpt":"We are studying the effect of converting caught targets into new chasers in the context of the recently proposed `group chase and escape' problem. Numerical simulations have shown that this conversion can substantially reduce the lifetimes of the targets when a large number of them are initially present. At the same time, it also leads to a non-monotonic dependence on the initial number of targets, resulting in the existence of a maximum lifetime. As a counter effect for this conversion, we further introduce self-multiplying abilities to the targets. We found that the longest lifetime exists w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1053","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":""},"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":"2026-05-18T00:17:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bz/mI6O9ViVzWu8kuPUbnrsoD5NCcH6SNCGm1QusHYM4MQe86qA6ZTNM1MZ3TiBDM+MWD55jBLh19k8Wv68eAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T06:52:01.882072Z"},"content_sha256":"45737e778ce30f855ca560ac00f274ba47ad9ab69cd8450e3cfca6cbf2241e3f","schema_version":"1.0","event_id":"sha256:45737e778ce30f855ca560ac00f274ba47ad9ab69cd8450e3cfca6cbf2241e3f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WN3Q6VQ654AIMXQFGXRET7QNRZ/bundle.json","state_url":"https://pith.science/pith/WN3Q6VQ654AIMXQFGXRET7QNRZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WN3Q6VQ654AIMXQFGXRET7QNRZ/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":"2026-05-26T06:52:01Z","links":{"resolver":"https://pith.science/pith/WN3Q6VQ654AIMXQFGXRET7QNRZ","bundle":"https://pith.science/pith/WN3Q6VQ654AIMXQFGXRET7QNRZ/bundle.json","state":"https://pith.science/pith/WN3Q6VQ654AIMXQFGXRET7QNRZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WN3Q6VQ654AIMXQFGXRET7QNRZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:WN3Q6VQ654AIMXQFGXRET7QNRZ","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":"b5d4541008b22703f8ea86d5d0bffdfd32267590dd453a6f3fbc499188453a37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-07-06T08:15:34Z","title_canon_sha256":"e1daa7a4e4587a7272b356b8c1a18c950d1cf250d87ff6322f3e7d99932f6abf"},"schema_version":"1.0","source":{"id":"1107.1053","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1053","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1053v1","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1053","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"pith_short_12","alias_value":"WN3Q6VQ654AI","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WN3Q6VQ654AIMXQF","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WN3Q6VQ6","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:45737e778ce30f855ca560ac00f274ba47ad9ab69cd8450e3cfca6cbf2241e3f","target":"graph","created_at":"2026-05-18T00:17:46Z","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 are studying the effect of converting caught targets into new chasers in the context of the recently proposed `group chase and escape' problem. Numerical simulations have shown that this conversion can substantially reduce the lifetimes of the targets when a large number of them are initially present. At the same time, it also leads to a non-monotonic dependence on the initial number of targets, resulting in the existence of a maximum lifetime. As a counter effect for this conversion, we further introduce self-multiplying abilities to the targets. We found that the longest lifetime exists w","authors_text":"Atsushi Kamimura, Katsuhiro Nishinari, Ryosuke Nishi, Toru Ohira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-07-06T08:15:34Z","title":"Group Chase and Escape with Conversion from Targets to Chasers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1053","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":"sha256:583ee6d4e57db3599e87e5aceb544a84bb13e4ee7950a643fb6c26cc23b1c20d","target":"record","created_at":"2026-05-18T00:17:46Z","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":"b5d4541008b22703f8ea86d5d0bffdfd32267590dd453a6f3fbc499188453a37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-07-06T08:15:34Z","title_canon_sha256":"e1daa7a4e4587a7272b356b8c1a18c950d1cf250d87ff6322f3e7d99932f6abf"},"schema_version":"1.0","source":{"id":"1107.1053","kind":"arxiv","version":1}},"canonical_sha256":"b3770f561eef00865e0535e249fe0d8e7bd719c0f9b0e92d1c4407c8e4b31c58","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3770f561eef00865e0535e249fe0d8e7bd719c0f9b0e92d1c4407c8e4b31c58","first_computed_at":"2026-05-18T00:17:46.770985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:46.770985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GFLCMvvBG13TW//RKL2CuJGpJxk5wr06ms1DCzC9re/iEjWlZoGKfDRRODyF4pCTEYA8Od3d0MNrELYKj8rQCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:46.771664Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.1053","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:583ee6d4e57db3599e87e5aceb544a84bb13e4ee7950a643fb6c26cc23b1c20d","sha256:45737e778ce30f855ca560ac00f274ba47ad9ab69cd8450e3cfca6cbf2241e3f"],"state_sha256":"4cb23e46937ed91e4936d1c7d68e4885aff422b3d23d8066a619234c16cfc874"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+VjgLukcb1fo3nfsAW5r5Czlw4oZ/rnMdT7ax4Ds4h9fwt2BF2XSFALIkTwEEf5511WPJKlj6iqnM7L97d8wBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T06:52:01.885910Z","bundle_sha256":"551ed00a8b097f51b5624d06f1d65ed7b976ded28d54afe49e61bb01a6ab5f3b"}}