{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:57LDKIY4KBBLWGJMUQUIKOHURJ","short_pith_number":"pith:57LDKIY4","canonical_record":{"source":{"id":"1509.07924","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-09-25T23:42:28Z","cross_cats_sorted":[],"title_canon_sha256":"42652449652acb0a05ac86eed5b97e2accee6fd1e4a8e4f743fc208f9de24fa2","abstract_canon_sha256":"188b8bfb3f121099e40804784c96a9ca1ea2050049c0a56a8faeed347b9e714f"},"schema_version":"1.0"},"canonical_sha256":"efd635231c5042bb192ca4288538f48a46be57fad67abb9cc028370d771b3c66","source":{"kind":"arxiv","id":"1509.07924","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07924","created_at":"2026-05-18T01:23:39Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07924v1","created_at":"2026-05-18T01:23:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07924","created_at":"2026-05-18T01:23:39Z"},{"alias_kind":"pith_short_12","alias_value":"57LDKIY4KBBL","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"57LDKIY4KBBLWGJM","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"57LDKIY4","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:57LDKIY4KBBLWGJMUQUIKOHURJ","target":"record","payload":{"canonical_record":{"source":{"id":"1509.07924","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-09-25T23:42:28Z","cross_cats_sorted":[],"title_canon_sha256":"42652449652acb0a05ac86eed5b97e2accee6fd1e4a8e4f743fc208f9de24fa2","abstract_canon_sha256":"188b8bfb3f121099e40804784c96a9ca1ea2050049c0a56a8faeed347b9e714f"},"schema_version":"1.0"},"canonical_sha256":"efd635231c5042bb192ca4288538f48a46be57fad67abb9cc028370d771b3c66","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:39.622194Z","signature_b64":"uSqmEuTBRENg5iFvIAlARM3szgomPMayyia1R9Bz9htpJv3bwnn8BkfBmgDDkv3prmZPK862+3JbsTr1w5egDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efd635231c5042bb192ca4288538f48a46be57fad67abb9cc028370d771b3c66","last_reissued_at":"2026-05-18T01:23:39.621770Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:39.621770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.07924","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":"2026-05-18T01:23:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gGEe9TImjCfVsCPODgGdwrgJAvzV2Wl8g16tIKEO+kuoJGqDEDj28su4qGNyUh6cUipdDMciglPRRTzuRAtkBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T12:18:32.546139Z"},"content_sha256":"06c2837ad1342fb8d6d62bc667c3c5d08e70bc70c40194f6ba832238114d4405","schema_version":"1.0","event_id":"sha256:06c2837ad1342fb8d6d62bc667c3c5d08e70bc70c40194f6ba832238114d4405"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:57LDKIY4KBBLWGJMUQUIKOHURJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Testing the validity of the Kirkwood approximation using an extended Sznajd model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Andr\\'e Martin Timpanaro, Serge Galam","submitted_at":"2015-09-25T23:42:28Z","abstract_excerpt":"We revisit the deduction of the exit probability of the one dimensional Sznajd model through the Kirkwood approximation [F. Slanina et al., Europhys. Lett. 82, 18006 (2008)]. This approximation is peculiar in that in spite of the agreement with simulation results [F. Slanina et al., Europhys. Lett. 82, 18006 (2008), R. Lambiotte and S. Redner, Europhys. Lett. 82, 18007 (2008), A. M. Timpanaro and C. P. C. Prado, 89, 052808 (2014)] the hypothesis about the correlation lenghts behind it are inconsistent and fixing these inconsistencies leads to the same results as a simple mean field. We use an "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07924","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":"2026-05-18T01:23:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KSK4iWEVd3TCeT0pqz9UKSDrH5PgKMJL/H59Ab7Sft179jqg9PFOzVpB+bp2hh5yYyfBwfTAEX4906ac0/fYBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T12:18:32.546799Z"},"content_sha256":"4fb6d51613c307048cca84ab748be8969c96aae7554e9f33680f30dfe11b2a28","schema_version":"1.0","event_id":"sha256:4fb6d51613c307048cca84ab748be8969c96aae7554e9f33680f30dfe11b2a28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/57LDKIY4KBBLWGJMUQUIKOHURJ/bundle.json","state_url":"https://pith.science/pith/57LDKIY4KBBLWGJMUQUIKOHURJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/57LDKIY4KBBLWGJMUQUIKOHURJ/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":"2026-06-02T12:18:32Z","links":{"resolver":"https://pith.science/pith/57LDKIY4KBBLWGJMUQUIKOHURJ","bundle":"https://pith.science/pith/57LDKIY4KBBLWGJMUQUIKOHURJ/bundle.json","state":"https://pith.science/pith/57LDKIY4KBBLWGJMUQUIKOHURJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/57LDKIY4KBBLWGJMUQUIKOHURJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:57LDKIY4KBBLWGJMUQUIKOHURJ","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":"188b8bfb3f121099e40804784c96a9ca1ea2050049c0a56a8faeed347b9e714f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-09-25T23:42:28Z","title_canon_sha256":"42652449652acb0a05ac86eed5b97e2accee6fd1e4a8e4f743fc208f9de24fa2"},"schema_version":"1.0","source":{"id":"1509.07924","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07924","created_at":"2026-05-18T01:23:39Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07924v1","created_at":"2026-05-18T01:23:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07924","created_at":"2026-05-18T01:23:39Z"},{"alias_kind":"pith_short_12","alias_value":"57LDKIY4KBBL","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"57LDKIY4KBBLWGJM","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"57LDKIY4","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:4fb6d51613c307048cca84ab748be8969c96aae7554e9f33680f30dfe11b2a28","target":"graph","created_at":"2026-05-18T01:23:39Z","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 revisit the deduction of the exit probability of the one dimensional Sznajd model through the Kirkwood approximation [F. Slanina et al., Europhys. Lett. 82, 18006 (2008)]. This approximation is peculiar in that in spite of the agreement with simulation results [F. Slanina et al., Europhys. Lett. 82, 18006 (2008), R. Lambiotte and S. Redner, Europhys. Lett. 82, 18007 (2008), A. M. Timpanaro and C. P. C. Prado, 89, 052808 (2014)] the hypothesis about the correlation lenghts behind it are inconsistent and fixing these inconsistencies leads to the same results as a simple mean field. We use an ","authors_text":"Andr\\'e Martin Timpanaro, Serge Galam","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-09-25T23:42:28Z","title":"Testing the validity of the Kirkwood approximation using an extended Sznajd model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07924","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":"sha256:06c2837ad1342fb8d6d62bc667c3c5d08e70bc70c40194f6ba832238114d4405","target":"record","created_at":"2026-05-18T01:23:39Z","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":"188b8bfb3f121099e40804784c96a9ca1ea2050049c0a56a8faeed347b9e714f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-09-25T23:42:28Z","title_canon_sha256":"42652449652acb0a05ac86eed5b97e2accee6fd1e4a8e4f743fc208f9de24fa2"},"schema_version":"1.0","source":{"id":"1509.07924","kind":"arxiv","version":1}},"canonical_sha256":"efd635231c5042bb192ca4288538f48a46be57fad67abb9cc028370d771b3c66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efd635231c5042bb192ca4288538f48a46be57fad67abb9cc028370d771b3c66","first_computed_at":"2026-05-18T01:23:39.621770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:39.621770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uSqmEuTBRENg5iFvIAlARM3szgomPMayyia1R9Bz9htpJv3bwnn8BkfBmgDDkv3prmZPK862+3JbsTr1w5egDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:39.622194Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.07924","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06c2837ad1342fb8d6d62bc667c3c5d08e70bc70c40194f6ba832238114d4405","sha256:4fb6d51613c307048cca84ab748be8969c96aae7554e9f33680f30dfe11b2a28"],"state_sha256":"81931c88063791a1d778f7b9b3e089a3ef83e9a8639b37a1c6e11010cada1d5e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EPO85LuzheEuB6/fDrosLxjHq9OXCl3DJRnuK0S1yXq00oAXA6mQ5o6/MwrPaall6m03V3WPJ5xU0FfGDjJVAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T12:18:32.550240Z","bundle_sha256":"1749fc056641b6bffa1d6c7c0c9a73cfa9f6640ff5eda6306418ee7c8f5e4bfe"}}