{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:5N5AVVG7NXTXUFQIHNJITNGBAB","short_pith_number":"pith:5N5AVVG7","canonical_record":{"source":{"id":"1010.3190","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-15T15:06:47Z","cross_cats_sorted":["cond-mat.stat-mech","cs.SI","physics.comp-ph"],"title_canon_sha256":"571b422f844c61fec2b5d8e6710b64b42fe9db8d9419708cb8732dfc0d12cb95","abstract_canon_sha256":"6e15d60cb3fa134601aeeffc4240edd1671d0269410d3c07222ff4db8685759b"},"schema_version":"1.0"},"canonical_sha256":"eb7a0ad4df6de77a16083b5289b4c10079ef2ab432ee55b50af8f85fbed9a20a","source":{"kind":"arxiv","id":"1010.3190","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3190","created_at":"2026-05-18T02:23:45Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3190v3","created_at":"2026-05-18T02:23:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3190","created_at":"2026-05-18T02:23:45Z"},{"alias_kind":"pith_short_12","alias_value":"5N5AVVG7NXTX","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5N5AVVG7NXTXUFQI","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5N5AVVG7","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:5N5AVVG7NXTXUFQIHNJITNGBAB","target":"record","payload":{"canonical_record":{"source":{"id":"1010.3190","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-15T15:06:47Z","cross_cats_sorted":["cond-mat.stat-mech","cs.SI","physics.comp-ph"],"title_canon_sha256":"571b422f844c61fec2b5d8e6710b64b42fe9db8d9419708cb8732dfc0d12cb95","abstract_canon_sha256":"6e15d60cb3fa134601aeeffc4240edd1671d0269410d3c07222ff4db8685759b"},"schema_version":"1.0"},"canonical_sha256":"eb7a0ad4df6de77a16083b5289b4c10079ef2ab432ee55b50af8f85fbed9a20a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:45.583801Z","signature_b64":"/qqgVaLncxsS6lRbrPZ/WIy6Z5OM5eSUHNvpf8lhNi8NVzX0fe5SJAyseXnbqACro8wwXRXk2eTYkv93uF5HAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb7a0ad4df6de77a16083b5289b4c10079ef2ab432ee55b50af8f85fbed9a20a","last_reissued_at":"2026-05-18T02:23:45.583005Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:45.583005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.3190","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":"2026-05-18T02:23:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"43XAQk8nS2zGGZnPpwrm3M12TgfvvvBqBYsimhtjvc1zTb14PjAw9SStnu5FzlD8jUV3Gq+bpk3442tZj4I4Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:35:14.747762Z"},"content_sha256":"eb0d0b803521da4e5f606fc011230915836c996635bf5900ecc882f3ef1c31e7","schema_version":"1.0","event_id":"sha256:eb0d0b803521da4e5f606fc011230915836c996635bf5900ecc882f3ef1c31e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:5N5AVVG7NXTXUFQIHNJITNGBAB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase transitions and non-equilibrium relaxation in kinetic models of opinion formation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.SI","physics.comp-ph"],"primary_cat":"physics.soc-ph","authors_text":"Anjan Kumar Chandra, Arnab Chatterjee, Bikas K. Chakrabarti, Soumyajyoti Biswas","submitted_at":"2010-10-15T15:06:47Z","abstract_excerpt":"We review in details some recently proposed kinetic models of opinion dynamics. We discuss the several variants including a generalised model. We provide mean field estimates for the critical points, which are numerically supported with reasonable accuracy. Using non-equilibrium relaxation techniques, we also investigate the nature of phase transitions observed in these models. We study the nature of correlations as the critical points are approached, and comment on the universality of the phase transitions observed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3190","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":"2026-05-18T02:23:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"affLcApa7/fUDdnPSSrdR7Fa5ps97PqP+5E4IvCbnzq4Ir4MPXiGDlO4a7vFp5j+j3urc7dE0o+ntUHvmLFfBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:35:14.748239Z"},"content_sha256":"706e1fe9005f44599bdf284a8d47ab32a077232b8a6fd3247557f01fcaa56c60","schema_version":"1.0","event_id":"sha256:706e1fe9005f44599bdf284a8d47ab32a077232b8a6fd3247557f01fcaa56c60"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5N5AVVG7NXTXUFQIHNJITNGBAB/bundle.json","state_url":"https://pith.science/pith/5N5AVVG7NXTXUFQIHNJITNGBAB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5N5AVVG7NXTXUFQIHNJITNGBAB/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":"2026-05-27T03:35:14Z","links":{"resolver":"https://pith.science/pith/5N5AVVG7NXTXUFQIHNJITNGBAB","bundle":"https://pith.science/pith/5N5AVVG7NXTXUFQIHNJITNGBAB/bundle.json","state":"https://pith.science/pith/5N5AVVG7NXTXUFQIHNJITNGBAB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5N5AVVG7NXTXUFQIHNJITNGBAB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5N5AVVG7NXTXUFQIHNJITNGBAB","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":"6e15d60cb3fa134601aeeffc4240edd1671d0269410d3c07222ff4db8685759b","cross_cats_sorted":["cond-mat.stat-mech","cs.SI","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-15T15:06:47Z","title_canon_sha256":"571b422f844c61fec2b5d8e6710b64b42fe9db8d9419708cb8732dfc0d12cb95"},"schema_version":"1.0","source":{"id":"1010.3190","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3190","created_at":"2026-05-18T02:23:45Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3190v3","created_at":"2026-05-18T02:23:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3190","created_at":"2026-05-18T02:23:45Z"},{"alias_kind":"pith_short_12","alias_value":"5N5AVVG7NXTX","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5N5AVVG7NXTXUFQI","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5N5AVVG7","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:706e1fe9005f44599bdf284a8d47ab32a077232b8a6fd3247557f01fcaa56c60","target":"graph","created_at":"2026-05-18T02:23:45Z","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 review in details some recently proposed kinetic models of opinion dynamics. We discuss the several variants including a generalised model. We provide mean field estimates for the critical points, which are numerically supported with reasonable accuracy. Using non-equilibrium relaxation techniques, we also investigate the nature of phase transitions observed in these models. We study the nature of correlations as the critical points are approached, and comment on the universality of the phase transitions observed.","authors_text":"Anjan Kumar Chandra, Arnab Chatterjee, Bikas K. Chakrabarti, Soumyajyoti Biswas","cross_cats":["cond-mat.stat-mech","cs.SI","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-15T15:06:47Z","title":"Phase transitions and non-equilibrium relaxation in kinetic models of opinion formation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3190","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:eb0d0b803521da4e5f606fc011230915836c996635bf5900ecc882f3ef1c31e7","target":"record","created_at":"2026-05-18T02:23:45Z","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":"6e15d60cb3fa134601aeeffc4240edd1671d0269410d3c07222ff4db8685759b","cross_cats_sorted":["cond-mat.stat-mech","cs.SI","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-15T15:06:47Z","title_canon_sha256":"571b422f844c61fec2b5d8e6710b64b42fe9db8d9419708cb8732dfc0d12cb95"},"schema_version":"1.0","source":{"id":"1010.3190","kind":"arxiv","version":3}},"canonical_sha256":"eb7a0ad4df6de77a16083b5289b4c10079ef2ab432ee55b50af8f85fbed9a20a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb7a0ad4df6de77a16083b5289b4c10079ef2ab432ee55b50af8f85fbed9a20a","first_computed_at":"2026-05-18T02:23:45.583005Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:45.583005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/qqgVaLncxsS6lRbrPZ/WIy6Z5OM5eSUHNvpf8lhNi8NVzX0fe5SJAyseXnbqACro8wwXRXk2eTYkv93uF5HAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:45.583801Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.3190","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb0d0b803521da4e5f606fc011230915836c996635bf5900ecc882f3ef1c31e7","sha256:706e1fe9005f44599bdf284a8d47ab32a077232b8a6fd3247557f01fcaa56c60"],"state_sha256":"54d7590127aac370033a810cae70ebabdbaf71f0dac4099c3a45ce263985e2b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0BqnVam1w+jQL9CzwJlb1kBQLNJYhKriQGpQnhyLKRlM3TC6m8qlUgRnc0rKhJ7FDBMclK+dYm2ITwMUDMn9CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T03:35:14.750910Z","bundle_sha256":"6020afb1d82cc102074dcc1a100b3da9370c910a55fbbe009659a3b71baa440f"}}