{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FYZUAUFC7KDL6PNUHQE7WVED7I","short_pith_number":"pith:FYZUAUFC","canonical_record":{"source":{"id":"1310.8175","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-10-30T14:47:20Z","cross_cats_sorted":[],"title_canon_sha256":"06f2fa3420e1b7595d58b446c4470c23638ad3b220f268c5a4704588777a1a22","abstract_canon_sha256":"f92c032b177ad85ad7d957bff194947ebfd30eee505296a494c09096692e6afd"},"schema_version":"1.0"},"canonical_sha256":"2e334050a2fa86bf3db43c09fb5483fa2bf19c6ca716643c0ad2ecb09f72bb34","source":{"kind":"arxiv","id":"1310.8175","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.8175","created_at":"2026-05-18T02:52:04Z"},{"alias_kind":"arxiv_version","alias_value":"1310.8175v1","created_at":"2026-05-18T02:52:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.8175","created_at":"2026-05-18T02:52:04Z"},{"alias_kind":"pith_short_12","alias_value":"FYZUAUFC7KDL","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FYZUAUFC7KDL6PNU","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FYZUAUFC","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FYZUAUFC7KDL6PNUHQE7WVED7I","target":"record","payload":{"canonical_record":{"source":{"id":"1310.8175","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-10-30T14:47:20Z","cross_cats_sorted":[],"title_canon_sha256":"06f2fa3420e1b7595d58b446c4470c23638ad3b220f268c5a4704588777a1a22","abstract_canon_sha256":"f92c032b177ad85ad7d957bff194947ebfd30eee505296a494c09096692e6afd"},"schema_version":"1.0"},"canonical_sha256":"2e334050a2fa86bf3db43c09fb5483fa2bf19c6ca716643c0ad2ecb09f72bb34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:04.099909Z","signature_b64":"3TcLvynYSdAD+1AFD4GtOOmCywmvS058i/2iFdmEjYZ4Xa0l6se8Kj/7IQa5lYrXqhPGA0u5wP60nO+I6SKmAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e334050a2fa86bf3db43c09fb5483fa2bf19c6ca716643c0ad2ecb09f72bb34","last_reissued_at":"2026-05-18T02:52:04.099438Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:04.099438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.8175","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":"2026-05-18T02:52:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7SFLk3oIc4B8YgN2FxlQBSozz9iJIHzyefqSCQXFi1ts8a+O0bR5XHB8vh2hTHllF3mIpmiYrcPirJb5Bf/3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T04:51:43.089977Z"},"content_sha256":"9acc6a71fe145557e9172e10200c0403653f19e1bfc08bc05eadabb2f5962eb1","schema_version":"1.0","event_id":"sha256:9acc6a71fe145557e9172e10200c0403653f19e1bfc08bc05eadabb2f5962eb1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FYZUAUFC7KDL6PNUHQE7WVED7I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Influence of long-range interactions on strategy selection in crowd","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"K. Kulakowski, K. Malarz, M. J. Krawczyk","submitted_at":"2013-10-30T14:47:20Z","abstract_excerpt":"An order--disorder phase transition is observed for Ising-like systems even for arbitrarily chosen probabilities of spins flips [K. Malarz et al, Int. J. Mod. Phys. C 22, 719 (2011)]. For such athermal dynamics one must define $(z+1)$ spin flips probabilities $w(n)$, where $z$ is a number of the nearest-neighbours for given regular lattice and $n=0,\\cdots,z$ indicates the number of nearest spins with the same value as the considered spin. Recently, such dynamics has been successfully applied for the simulation of a cooperative and competitive strategy selection by pedestrians in crowd [P. Gawr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.8175","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":"2026-05-18T02:52:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Ic8t/IGrnVDx5bEvp337HCCGbDQlRuUfdlS69TgpCLvNj8BmjaeW2HnBXVcjz77M+VEDFSSCCZw1dzkbDxNAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T04:51:43.090347Z"},"content_sha256":"92664654ac57df27d2ee78247ddcbf3ccd1d6a80946b88996609ab40d4ec38e6","schema_version":"1.0","event_id":"sha256:92664654ac57df27d2ee78247ddcbf3ccd1d6a80946b88996609ab40d4ec38e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FYZUAUFC7KDL6PNUHQE7WVED7I/bundle.json","state_url":"https://pith.science/pith/FYZUAUFC7KDL6PNUHQE7WVED7I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FYZUAUFC7KDL6PNUHQE7WVED7I/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":"2026-07-02T04:51:43Z","links":{"resolver":"https://pith.science/pith/FYZUAUFC7KDL6PNUHQE7WVED7I","bundle":"https://pith.science/pith/FYZUAUFC7KDL6PNUHQE7WVED7I/bundle.json","state":"https://pith.science/pith/FYZUAUFC7KDL6PNUHQE7WVED7I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FYZUAUFC7KDL6PNUHQE7WVED7I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FYZUAUFC7KDL6PNUHQE7WVED7I","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":"f92c032b177ad85ad7d957bff194947ebfd30eee505296a494c09096692e6afd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-10-30T14:47:20Z","title_canon_sha256":"06f2fa3420e1b7595d58b446c4470c23638ad3b220f268c5a4704588777a1a22"},"schema_version":"1.0","source":{"id":"1310.8175","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.8175","created_at":"2026-05-18T02:52:04Z"},{"alias_kind":"arxiv_version","alias_value":"1310.8175v1","created_at":"2026-05-18T02:52:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.8175","created_at":"2026-05-18T02:52:04Z"},{"alias_kind":"pith_short_12","alias_value":"FYZUAUFC7KDL","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FYZUAUFC7KDL6PNU","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FYZUAUFC","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:92664654ac57df27d2ee78247ddcbf3ccd1d6a80946b88996609ab40d4ec38e6","target":"graph","created_at":"2026-05-18T02:52:04Z","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":"An order--disorder phase transition is observed for Ising-like systems even for arbitrarily chosen probabilities of spins flips [K. Malarz et al, Int. J. Mod. Phys. C 22, 719 (2011)]. For such athermal dynamics one must define $(z+1)$ spin flips probabilities $w(n)$, where $z$ is a number of the nearest-neighbours for given regular lattice and $n=0,\\cdots,z$ indicates the number of nearest spins with the same value as the considered spin. Recently, such dynamics has been successfully applied for the simulation of a cooperative and competitive strategy selection by pedestrians in crowd [P. Gawr","authors_text":"K. Kulakowski, K. Malarz, M. J. Krawczyk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-10-30T14:47:20Z","title":"Influence of long-range interactions on strategy selection in crowd"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.8175","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":"sha256:9acc6a71fe145557e9172e10200c0403653f19e1bfc08bc05eadabb2f5962eb1","target":"record","created_at":"2026-05-18T02:52:04Z","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":"f92c032b177ad85ad7d957bff194947ebfd30eee505296a494c09096692e6afd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-10-30T14:47:20Z","title_canon_sha256":"06f2fa3420e1b7595d58b446c4470c23638ad3b220f268c5a4704588777a1a22"},"schema_version":"1.0","source":{"id":"1310.8175","kind":"arxiv","version":1}},"canonical_sha256":"2e334050a2fa86bf3db43c09fb5483fa2bf19c6ca716643c0ad2ecb09f72bb34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e334050a2fa86bf3db43c09fb5483fa2bf19c6ca716643c0ad2ecb09f72bb34","first_computed_at":"2026-05-18T02:52:04.099438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:04.099438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3TcLvynYSdAD+1AFD4GtOOmCywmvS058i/2iFdmEjYZ4Xa0l6se8Kj/7IQa5lYrXqhPGA0u5wP60nO+I6SKmAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:04.099909Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.8175","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9acc6a71fe145557e9172e10200c0403653f19e1bfc08bc05eadabb2f5962eb1","sha256:92664654ac57df27d2ee78247ddcbf3ccd1d6a80946b88996609ab40d4ec38e6"],"state_sha256":"0e7204faf35afe05864e9f4939240fde40ed7e3d615baed16dfe9d86058fd766"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7qWizBg/9Y1bPt0w+IK/e3D1ipYA2P9GUu1otcW0+Ndf3MWAimjaMsqWBVLR2d636SRU1a0IvxciGUP5PEOjDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T04:51:43.092580Z","bundle_sha256":"76aff90e7c7f9701f9f1e6b46c900e55f3fa805f8779a26872a009922bdf8ced"}}