{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:BVR6AL4UHEHO5B7SKUOWKXVNCM","short_pith_number":"pith:BVR6AL4U","canonical_record":{"source":{"id":"2506.05669","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-06-06T01:32:52Z","cross_cats_sorted":[],"title_canon_sha256":"924ee24be8548bcc49a4fa74f04fbed32726f8a90fdc5a657128746789fdd780","abstract_canon_sha256":"691900f8ecf1b62de1c60503296031950a709dd701e9d8a29fbef0e7d752e19b"},"schema_version":"1.0"},"canonical_sha256":"0d63e02f94390eee87f2551d655ead1338bb2c74567ecaac350e403e8d388a42","source":{"kind":"arxiv","id":"2506.05669","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.05669","created_at":"2026-07-05T11:56:58Z"},{"alias_kind":"arxiv_version","alias_value":"2506.05669v2","created_at":"2026-07-05T11:56:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.05669","created_at":"2026-07-05T11:56:58Z"},{"alias_kind":"pith_short_12","alias_value":"BVR6AL4UHEHO","created_at":"2026-07-05T11:56:58Z"},{"alias_kind":"pith_short_16","alias_value":"BVR6AL4UHEHO5B7S","created_at":"2026-07-05T11:56:58Z"},{"alias_kind":"pith_short_8","alias_value":"BVR6AL4U","created_at":"2026-07-05T11:56:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:BVR6AL4UHEHO5B7SKUOWKXVNCM","target":"record","payload":{"canonical_record":{"source":{"id":"2506.05669","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-06-06T01:32:52Z","cross_cats_sorted":[],"title_canon_sha256":"924ee24be8548bcc49a4fa74f04fbed32726f8a90fdc5a657128746789fdd780","abstract_canon_sha256":"691900f8ecf1b62de1c60503296031950a709dd701e9d8a29fbef0e7d752e19b"},"schema_version":"1.0"},"canonical_sha256":"0d63e02f94390eee87f2551d655ead1338bb2c74567ecaac350e403e8d388a42","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:56:58.124002Z","signature_b64":"SNWYsYKMRdyhlaE3OhSLui25JCOKx0DdRRkEc2tq/+0xpAn3vq5bE7hz30XtuKe9rPWjgfW7RDmekjUlCdAFBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d63e02f94390eee87f2551d655ead1338bb2c74567ecaac350e403e8d388a42","last_reissued_at":"2026-07-05T11:56:58.123535Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:56:58.123535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.05669","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":"2026-07-05T11:56:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"neSydNyM5fS6QQU9MDOcldZynT9YgitXlCz/c4z/JutthijLdX5J5Ur5I2wM+E3xnRDD5UddGTFum9pKKJhDCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T23:54:23.111901Z"},"content_sha256":"960ce9c169cf7dc105ca59916b917e146667ca92cc56927f9a6658ae933f3d8b","schema_version":"1.0","event_id":"sha256:960ce9c169cf7dc105ca59916b917e146667ca92cc56927f9a6658ae933f3d8b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:BVR6AL4UHEHO5B7SKUOWKXVNCM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ordering-disordering dynamics of the $q$-voter model under random external bias","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Jihye Kim, Noriko Oikawa, Rinto Anugraha N Q Z, Roni Muslim, Zulkaida Akbar","submitted_at":"2025-06-06T01:32:52Z","abstract_excerpt":"We investigate a variant of the two-state $q$-voter model in which agents update their states under a random external field (which points upward with probability $s$ and downward with probability $1-s$) with probability $p$ or adopt the unanimous opinion of $q$ randomly selected neighbors with probability $ 1-p$. Using mean-field analysis and Monte Carlo simulations, we identify an order-disorder transition at $p_c$ when $s=\\tfrac{1}{2}$. Notably, in the regime of $p>p_c$, we estimate the time for systems to reach disordered state from consensus state and find the logarithmic scaling $T_{\\text"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.05669","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.05669/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:56:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VOKlLXcfOT/RsoDCwypkc7yh4LORfT5AepczuetpdicjFB2xPDyha17u2J2cuFiDPMiV2pT+8fR6paXBXUXeAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T23:54:23.112736Z"},"content_sha256":"4d303eb3293647206ef3557ec94d4450de6f39353034c6c59884cf99f227b66b","schema_version":"1.0","event_id":"sha256:4d303eb3293647206ef3557ec94d4450de6f39353034c6c59884cf99f227b66b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BVR6AL4UHEHO5B7SKUOWKXVNCM/bundle.json","state_url":"https://pith.science/pith/BVR6AL4UHEHO5B7SKUOWKXVNCM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BVR6AL4UHEHO5B7SKUOWKXVNCM/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":"2026-08-07T23:54:23Z","links":{"resolver":"https://pith.science/pith/BVR6AL4UHEHO5B7SKUOWKXVNCM","bundle":"https://pith.science/pith/BVR6AL4UHEHO5B7SKUOWKXVNCM/bundle.json","state":"https://pith.science/pith/BVR6AL4UHEHO5B7SKUOWKXVNCM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BVR6AL4UHEHO5B7SKUOWKXVNCM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:BVR6AL4UHEHO5B7SKUOWKXVNCM","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":"691900f8ecf1b62de1c60503296031950a709dd701e9d8a29fbef0e7d752e19b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-06-06T01:32:52Z","title_canon_sha256":"924ee24be8548bcc49a4fa74f04fbed32726f8a90fdc5a657128746789fdd780"},"schema_version":"1.0","source":{"id":"2506.05669","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.05669","created_at":"2026-07-05T11:56:58Z"},{"alias_kind":"arxiv_version","alias_value":"2506.05669v2","created_at":"2026-07-05T11:56:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.05669","created_at":"2026-07-05T11:56:58Z"},{"alias_kind":"pith_short_12","alias_value":"BVR6AL4UHEHO","created_at":"2026-07-05T11:56:58Z"},{"alias_kind":"pith_short_16","alias_value":"BVR6AL4UHEHO5B7S","created_at":"2026-07-05T11:56:58Z"},{"alias_kind":"pith_short_8","alias_value":"BVR6AL4U","created_at":"2026-07-05T11:56:58Z"}],"graph_snapshots":[{"event_id":"sha256:4d303eb3293647206ef3557ec94d4450de6f39353034c6c59884cf99f227b66b","target":"graph","created_at":"2026-07-05T11:56:58Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.05669/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate a variant of the two-state $q$-voter model in which agents update their states under a random external field (which points upward with probability $s$ and downward with probability $1-s$) with probability $p$ or adopt the unanimous opinion of $q$ randomly selected neighbors with probability $ 1-p$. Using mean-field analysis and Monte Carlo simulations, we identify an order-disorder transition at $p_c$ when $s=\\tfrac{1}{2}$. Notably, in the regime of $p>p_c$, we estimate the time for systems to reach disordered state from consensus state and find the logarithmic scaling $T_{\\text","authors_text":"Jihye Kim, Noriko Oikawa, Rinto Anugraha N Q Z, Roni Muslim, Zulkaida Akbar","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-06-06T01:32:52Z","title":"Ordering-disordering dynamics of the $q$-voter model under random external bias"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.05669","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":"sha256:960ce9c169cf7dc105ca59916b917e146667ca92cc56927f9a6658ae933f3d8b","target":"record","created_at":"2026-07-05T11:56:58Z","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":"691900f8ecf1b62de1c60503296031950a709dd701e9d8a29fbef0e7d752e19b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-06-06T01:32:52Z","title_canon_sha256":"924ee24be8548bcc49a4fa74f04fbed32726f8a90fdc5a657128746789fdd780"},"schema_version":"1.0","source":{"id":"2506.05669","kind":"arxiv","version":2}},"canonical_sha256":"0d63e02f94390eee87f2551d655ead1338bb2c74567ecaac350e403e8d388a42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d63e02f94390eee87f2551d655ead1338bb2c74567ecaac350e403e8d388a42","first_computed_at":"2026-07-05T11:56:58.123535Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:56:58.123535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SNWYsYKMRdyhlaE3OhSLui25JCOKx0DdRRkEc2tq/+0xpAn3vq5bE7hz30XtuKe9rPWjgfW7RDmekjUlCdAFBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:56:58.124002Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.05669","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:960ce9c169cf7dc105ca59916b917e146667ca92cc56927f9a6658ae933f3d8b","sha256:4d303eb3293647206ef3557ec94d4450de6f39353034c6c59884cf99f227b66b"],"state_sha256":"18fbe813360a6248630ac6bc6c8a4c78033bdc3d122869bb9b0d3ae274db06cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lMeTeSae1jKSwlGTZbTBhtKaMjfgJAgQjcNzdaHbtpEHCPhBhMpQgtHiscK1fDGKK+34teg/3aU4JYnn23MSCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T23:54:23.116990Z","bundle_sha256":"7bbdb2b9a0fe77d1d1ad39b5b7b8f9d487ca801c56442cfadc20efecc27cc6c9"}}