{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZOKVSDBYZR2O23DYVNHSB4LWGK","short_pith_number":"pith:ZOKVSDBY","canonical_record":{"source":{"id":"1809.00373","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-09-02T18:40:09Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.AO","q-bio.PE"],"title_canon_sha256":"43e4bc860d0c26f6b49970c40b043971bf9c660e8c0a03be5b7224a70cdc38e3","abstract_canon_sha256":"3bfdbbac0469e8893f24e00b9a47023b71e2fd845ab6f425b674a68169907952"},"schema_version":"1.0"},"canonical_sha256":"cb95590c38cc74ed6c78ab4f20f17632af9597a46b4acd399e05679e0f353586","source":{"kind":"arxiv","id":"1809.00373","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.00373","created_at":"2026-05-17T23:55:11Z"},{"alias_kind":"arxiv_version","alias_value":"1809.00373v1","created_at":"2026-05-17T23:55:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.00373","created_at":"2026-05-17T23:55:11Z"},{"alias_kind":"pith_short_12","alias_value":"ZOKVSDBYZR2O","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZOKVSDBYZR2O23DY","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZOKVSDBY","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZOKVSDBYZR2O23DYVNHSB4LWGK","target":"record","payload":{"canonical_record":{"source":{"id":"1809.00373","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-09-02T18:40:09Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.AO","q-bio.PE"],"title_canon_sha256":"43e4bc860d0c26f6b49970c40b043971bf9c660e8c0a03be5b7224a70cdc38e3","abstract_canon_sha256":"3bfdbbac0469e8893f24e00b9a47023b71e2fd845ab6f425b674a68169907952"},"schema_version":"1.0"},"canonical_sha256":"cb95590c38cc74ed6c78ab4f20f17632af9597a46b4acd399e05679e0f353586","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:11.904391Z","signature_b64":"SMpm5Leqfcdmg/FPZZMKiavrt0vvNi4hq5sXatapaMOyTsAlcwPVr5t2VecAkH/Zk0sM0+bgDiZPDrKRAKu7Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb95590c38cc74ed6c78ab4f20f17632af9597a46b4acd399e05679e0f353586","last_reissued_at":"2026-05-17T23:55:11.904010Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:11.904010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.00373","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":"2026-05-17T23:55:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jJ6P6Qwb6DKzHlu+2/n9nMxcO5F7b977DdpaCuSrIGzeATX5H9TgxfZnZKSce0WBP8slGRqZPS/UHlxwa0tbCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:13:59.856005Z"},"content_sha256":"9e147c7377ade6ef9bd9251591f13f57f84534a9b3d7205002378f161c5b56f4","schema_version":"1.0","event_id":"sha256:9e147c7377ade6ef9bd9251591f13f57f84534a9b3d7205002378f161c5b56f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZOKVSDBYZR2O23DYVNHSB4LWGK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact results for the extreme Thouless effect in a model of network dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","nlin.AO","q-bio.PE"],"primary_cat":"physics.soc-ph","authors_text":"Kevin E. Bassler, Mohammadmehdi Ezzatabadipour, R.K.P. Zia, Weibin Zhang","submitted_at":"2018-09-02T18:40:09Z","abstract_excerpt":"If a system undergoing phase transitions exhibits some characteristics of both first and second order, it is said to be of 'mixed order' or to display the Thouless effect. Such a transition is present in a simple model of a dynamic social network, in which $N_{I/E}$ extreme introverts/extroverts always cut/add random links. In particular, simulations showed that $\\left\\langle f\\right\\rangle $, the average fraction of cross-links between the two groups (which serves as an 'order parameter' here), jumps dramatically when $\\Delta \\equiv N_{I}-N_{E}$ crosses the 'critical point' $\\Delta _{c}=0$, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.00373","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":"2026-05-17T23:55:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uHgMccHpbjf9nb3zK132oFDD5dF4LeItSc0GTHGIBVsbdgjcagN6Rp+sllx9OdxVNsgp3TsWVkMjg7HCdmWbAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:13:59.856365Z"},"content_sha256":"3637b8f724e7fb5ef6195a3994b344f066a8b39aebb702ae56f47816557af12c","schema_version":"1.0","event_id":"sha256:3637b8f724e7fb5ef6195a3994b344f066a8b39aebb702ae56f47816557af12c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZOKVSDBYZR2O23DYVNHSB4LWGK/bundle.json","state_url":"https://pith.science/pith/ZOKVSDBYZR2O23DYVNHSB4LWGK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZOKVSDBYZR2O23DYVNHSB4LWGK/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":"2026-06-01T21:13:59Z","links":{"resolver":"https://pith.science/pith/ZOKVSDBYZR2O23DYVNHSB4LWGK","bundle":"https://pith.science/pith/ZOKVSDBYZR2O23DYVNHSB4LWGK/bundle.json","state":"https://pith.science/pith/ZOKVSDBYZR2O23DYVNHSB4LWGK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZOKVSDBYZR2O23DYVNHSB4LWGK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZOKVSDBYZR2O23DYVNHSB4LWGK","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":"3bfdbbac0469e8893f24e00b9a47023b71e2fd845ab6f425b674a68169907952","cross_cats_sorted":["cond-mat.stat-mech","nlin.AO","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-09-02T18:40:09Z","title_canon_sha256":"43e4bc860d0c26f6b49970c40b043971bf9c660e8c0a03be5b7224a70cdc38e3"},"schema_version":"1.0","source":{"id":"1809.00373","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.00373","created_at":"2026-05-17T23:55:11Z"},{"alias_kind":"arxiv_version","alias_value":"1809.00373v1","created_at":"2026-05-17T23:55:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.00373","created_at":"2026-05-17T23:55:11Z"},{"alias_kind":"pith_short_12","alias_value":"ZOKVSDBYZR2O","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZOKVSDBYZR2O23DY","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZOKVSDBY","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:3637b8f724e7fb5ef6195a3994b344f066a8b39aebb702ae56f47816557af12c","target":"graph","created_at":"2026-05-17T23:55:11Z","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":"If a system undergoing phase transitions exhibits some characteristics of both first and second order, it is said to be of 'mixed order' or to display the Thouless effect. Such a transition is present in a simple model of a dynamic social network, in which $N_{I/E}$ extreme introverts/extroverts always cut/add random links. In particular, simulations showed that $\\left\\langle f\\right\\rangle $, the average fraction of cross-links between the two groups (which serves as an 'order parameter' here), jumps dramatically when $\\Delta \\equiv N_{I}-N_{E}$ crosses the 'critical point' $\\Delta _{c}=0$, a","authors_text":"Kevin E. Bassler, Mohammadmehdi Ezzatabadipour, R.K.P. Zia, Weibin Zhang","cross_cats":["cond-mat.stat-mech","nlin.AO","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-09-02T18:40:09Z","title":"Exact results for the extreme Thouless effect in a model of network dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.00373","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":"sha256:9e147c7377ade6ef9bd9251591f13f57f84534a9b3d7205002378f161c5b56f4","target":"record","created_at":"2026-05-17T23:55:11Z","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":"3bfdbbac0469e8893f24e00b9a47023b71e2fd845ab6f425b674a68169907952","cross_cats_sorted":["cond-mat.stat-mech","nlin.AO","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-09-02T18:40:09Z","title_canon_sha256":"43e4bc860d0c26f6b49970c40b043971bf9c660e8c0a03be5b7224a70cdc38e3"},"schema_version":"1.0","source":{"id":"1809.00373","kind":"arxiv","version":1}},"canonical_sha256":"cb95590c38cc74ed6c78ab4f20f17632af9597a46b4acd399e05679e0f353586","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb95590c38cc74ed6c78ab4f20f17632af9597a46b4acd399e05679e0f353586","first_computed_at":"2026-05-17T23:55:11.904010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:11.904010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SMpm5Leqfcdmg/FPZZMKiavrt0vvNi4hq5sXatapaMOyTsAlcwPVr5t2VecAkH/Zk0sM0+bgDiZPDrKRAKu7Aw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:11.904391Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.00373","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e147c7377ade6ef9bd9251591f13f57f84534a9b3d7205002378f161c5b56f4","sha256:3637b8f724e7fb5ef6195a3994b344f066a8b39aebb702ae56f47816557af12c"],"state_sha256":"3ac7467e8e8e2ed6471967f883205a0bbfdf82c72a9f71f91cf066b31bb89a0d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GpQjw7mWIxRha9P8YqWYoIcRH8fTwnWpGtK44OVXe4DSVT5LyxIv3+ty9oxyTgJy/1doDSbUQkpovbyPF+kMAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:13:59.858355Z","bundle_sha256":"9deaff5396dac74fb217be89a5b7157bbbb1aeecd5ba8419fe400031604e506a"}}