{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JZUC7J7BONOC4JBMEHSN7FLLVE","short_pith_number":"pith:JZUC7J7B","canonical_record":{"source":{"id":"1505.05163","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-05-19T20:09:41Z","cross_cats_sorted":["cond-mat.stat-mech","cs.SI"],"title_canon_sha256":"41a8f644087ceb5d8ddb2cd20add1bcc9e9c0547606ac3013886a47c064bba2e","abstract_canon_sha256":"68f84138d842e0bcb982c2c1801fa3be982eeec45341c4528c5dc5eaf9826b2c"},"schema_version":"1.0"},"canonical_sha256":"4e682fa7e1735c2e242c21e4df956ba90a679dab13bc6e469e3511fbab47595c","source":{"kind":"arxiv","id":"1505.05163","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05163","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05163v3","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05163","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"JZUC7J7BONOC","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JZUC7J7BONOC4JBM","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JZUC7J7B","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JZUC7J7BONOC4JBMEHSN7FLLVE","target":"record","payload":{"canonical_record":{"source":{"id":"1505.05163","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-05-19T20:09:41Z","cross_cats_sorted":["cond-mat.stat-mech","cs.SI"],"title_canon_sha256":"41a8f644087ceb5d8ddb2cd20add1bcc9e9c0547606ac3013886a47c064bba2e","abstract_canon_sha256":"68f84138d842e0bcb982c2c1801fa3be982eeec45341c4528c5dc5eaf9826b2c"},"schema_version":"1.0"},"canonical_sha256":"4e682fa7e1735c2e242c21e4df956ba90a679dab13bc6e469e3511fbab47595c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:38.362126Z","signature_b64":"UBmm55xwYla7WgzAeZ4/9NIncXRR7iJeLL60c/4yaf+hHm7ENaaOCa7VBmzvK+EzV+rRonajK9i1sJTkddl9AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e682fa7e1735c2e242c21e4df956ba90a679dab13bc6e469e3511fbab47595c","last_reissued_at":"2026-05-18T01:24:38.361598Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:38.361598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.05163","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":"2026-05-18T01:24:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6v6Dl4W9wSC5Mp8hxWbHoAzTCR9eumg18AXWncAfv/daSuUEPXGG3fEbb5pkA2reqTy0yRLDwzryv8vz2GN0AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:20:39.945576Z"},"content_sha256":"2bd481359d7f74fc326986a1e0b3543af3d3231f5d5d8c6cdcc491ee0885026d","schema_version":"1.0","event_id":"sha256:2bd481359d7f74fc326986a1e0b3543af3d3231f5d5d8c6cdcc491ee0885026d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JZUC7J7BONOC4JBMEHSN7FLLVE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inflexibility and independence: Phase transitions in the majority-rule model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Nuno Crokidakis, Paulo Murilo Castro de Oliveira","submitted_at":"2015-05-19T20:09:41Z","abstract_excerpt":"In this work we study opinion formation in a population participating of a public debate with two distinct choices. We considered three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity and inflexibility. The conformity is ruled by the majority-rule dynamics, whereas the nonconformity is introduced in the population as an independent behavior, implying the failure to attempted group influence. Finally, the inflexible agents are introduced in the population with a given density. These individuals present a singular behavior, in a way that their stub"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05163","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":"2026-05-18T01:24:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I107jcr3cNly6/YMjgUAOSLN0zEhU1rY/EIW3Vlo8hUlTZsayD5iQ0mzQDx3tCYykwzdkCW3rABbEe1b4C5oCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:20:39.946300Z"},"content_sha256":"3bdd6fb55e10133943f32c6f472bc5257242a61bf5368d526f4cc68c0545d27d","schema_version":"1.0","event_id":"sha256:3bdd6fb55e10133943f32c6f472bc5257242a61bf5368d526f4cc68c0545d27d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JZUC7J7BONOC4JBMEHSN7FLLVE/bundle.json","state_url":"https://pith.science/pith/JZUC7J7BONOC4JBMEHSN7FLLVE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JZUC7J7BONOC4JBMEHSN7FLLVE/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":"2026-05-27T23:20:39Z","links":{"resolver":"https://pith.science/pith/JZUC7J7BONOC4JBMEHSN7FLLVE","bundle":"https://pith.science/pith/JZUC7J7BONOC4JBMEHSN7FLLVE/bundle.json","state":"https://pith.science/pith/JZUC7J7BONOC4JBMEHSN7FLLVE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JZUC7J7BONOC4JBMEHSN7FLLVE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JZUC7J7BONOC4JBMEHSN7FLLVE","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":"68f84138d842e0bcb982c2c1801fa3be982eeec45341c4528c5dc5eaf9826b2c","cross_cats_sorted":["cond-mat.stat-mech","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-05-19T20:09:41Z","title_canon_sha256":"41a8f644087ceb5d8ddb2cd20add1bcc9e9c0547606ac3013886a47c064bba2e"},"schema_version":"1.0","source":{"id":"1505.05163","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05163","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05163v3","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05163","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"JZUC7J7BONOC","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JZUC7J7BONOC4JBM","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JZUC7J7B","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:3bdd6fb55e10133943f32c6f472bc5257242a61bf5368d526f4cc68c0545d27d","target":"graph","created_at":"2026-05-18T01:24:38Z","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":"In this work we study opinion formation in a population participating of a public debate with two distinct choices. We considered three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity and inflexibility. The conformity is ruled by the majority-rule dynamics, whereas the nonconformity is introduced in the population as an independent behavior, implying the failure to attempted group influence. Finally, the inflexible agents are introduced in the population with a given density. These individuals present a singular behavior, in a way that their stub","authors_text":"Nuno Crokidakis, Paulo Murilo Castro de Oliveira","cross_cats":["cond-mat.stat-mech","cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-05-19T20:09:41Z","title":"Inflexibility and independence: Phase transitions in the majority-rule model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05163","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":"sha256:2bd481359d7f74fc326986a1e0b3543af3d3231f5d5d8c6cdcc491ee0885026d","target":"record","created_at":"2026-05-18T01:24:38Z","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":"68f84138d842e0bcb982c2c1801fa3be982eeec45341c4528c5dc5eaf9826b2c","cross_cats_sorted":["cond-mat.stat-mech","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-05-19T20:09:41Z","title_canon_sha256":"41a8f644087ceb5d8ddb2cd20add1bcc9e9c0547606ac3013886a47c064bba2e"},"schema_version":"1.0","source":{"id":"1505.05163","kind":"arxiv","version":3}},"canonical_sha256":"4e682fa7e1735c2e242c21e4df956ba90a679dab13bc6e469e3511fbab47595c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e682fa7e1735c2e242c21e4df956ba90a679dab13bc6e469e3511fbab47595c","first_computed_at":"2026-05-18T01:24:38.361598Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:38.361598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UBmm55xwYla7WgzAeZ4/9NIncXRR7iJeLL60c/4yaf+hHm7ENaaOCa7VBmzvK+EzV+rRonajK9i1sJTkddl9AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:38.362126Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05163","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2bd481359d7f74fc326986a1e0b3543af3d3231f5d5d8c6cdcc491ee0885026d","sha256:3bdd6fb55e10133943f32c6f472bc5257242a61bf5368d526f4cc68c0545d27d"],"state_sha256":"40caf7a814ad5bd9e8e98a0fe6f0da5d283dff8405670c4998dbff0e57567e79"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RXIoOJqUzv9avUcgaOj707RG69Q7H+t/ZkbsJ5xnNjhzorvC70LZNKqTX28uANPcFKR+BwQM5NPjC/kvh6jPCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T23:20:39.950170Z","bundle_sha256":"f399906ab7d2f6db8fd7c7fd074e5cdc2c23acd2ceb6b6d00371b93f40c0a66a"}}