{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:45ED4IPL2CAN3CMTXPNZNM3WAK","short_pith_number":"pith:45ED4IPL","canonical_record":{"source":{"id":"1504.06927","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-04-27T05:07:27Z","cross_cats_sorted":[],"title_canon_sha256":"b1a72372e336ed5f205fd97cb168040860a42e14e1433d73e1f71d427e85fc57","abstract_canon_sha256":"9e852f87150dfcd4b46c5c1330551438c946616eda77b75520df75908b389f58"},"schema_version":"1.0"},"canonical_sha256":"e7483e21ebd080dd8993bbdb96b37602b6b11200bb6ba1a55a4aeae246eebdc6","source":{"kind":"arxiv","id":"1504.06927","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.06927","created_at":"2026-05-18T02:17:44Z"},{"alias_kind":"arxiv_version","alias_value":"1504.06927v1","created_at":"2026-05-18T02:17:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06927","created_at":"2026-05-18T02:17:44Z"},{"alias_kind":"pith_short_12","alias_value":"45ED4IPL2CAN","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"45ED4IPL2CAN3CMT","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"45ED4IPL","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:45ED4IPL2CAN3CMTXPNZNM3WAK","target":"record","payload":{"canonical_record":{"source":{"id":"1504.06927","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-04-27T05:07:27Z","cross_cats_sorted":[],"title_canon_sha256":"b1a72372e336ed5f205fd97cb168040860a42e14e1433d73e1f71d427e85fc57","abstract_canon_sha256":"9e852f87150dfcd4b46c5c1330551438c946616eda77b75520df75908b389f58"},"schema_version":"1.0"},"canonical_sha256":"e7483e21ebd080dd8993bbdb96b37602b6b11200bb6ba1a55a4aeae246eebdc6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:44.086581Z","signature_b64":"V6pm5dDOY7jkObZjc0ah3dauAimGLoiT1kD+1l08JoBmYSBfF6iGzzk+zPuWJsdh/CTLTj6du6TYE4TcjdUOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7483e21ebd080dd8993bbdb96b37602b6b11200bb6ba1a55a4aeae246eebdc6","last_reissued_at":"2026-05-18T02:17:44.086229Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:44.086229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.06927","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":"2026-05-18T02:17:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ua8RBAp3uqN+r1lP74d4RiKWTcYOUjntUAAwi3GT9F68wQSyk4UpdEaiv3KiBMH1DUFtp+BhQrpAcsQzMlQtCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T22:27:50.787008Z"},"content_sha256":"be5493462d9f065e9693ece9401ad2a346f761f8ff710e0a37d15168317563f4","schema_version":"1.0","event_id":"sha256:be5493462d9f065e9693ece9401ad2a346f761f8ff710e0a37d15168317563f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:45ED4IPL2CAN3CMTXPNZNM3WAK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extreme Thouless effect in a minimal model of dynamic social networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"B. Schmittmann, K. E. Bassler, R. K. P. Zia, Wenjia Liu","submitted_at":"2015-04-27T05:07:27Z","abstract_excerpt":"In common descriptions of phase transitions, first order transitions are characterized by discontinuous jumps in the order parameter and normal fluctuations, while second order transitions are associated with no jumps and anomalous fluctuations. Outside this paradigm are systems exhibiting `mixed order transitions' displaying a mixture of these characteristics. When the jump is maximal and the fluctuations range over the entire range of allowed values, the behavior has been coined an `extreme Thouless effect'. Here, we report findings of such a phenomenon, in the context of dynamic, social net"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06927","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":"2026-05-18T02:17:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dXt4dYsK1ZYRF6dxqjGrUpiCocgDhFK7iqE+2P8K02NRswmgfFfZ2Ulnoiwn74EDf4E7M4p/uPz6rznMsH2bDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T22:27:50.787367Z"},"content_sha256":"fd7d9dcd7fd002400ead69267ab64e31019ff02c679b77875bd2bfea564be2d0","schema_version":"1.0","event_id":"sha256:fd7d9dcd7fd002400ead69267ab64e31019ff02c679b77875bd2bfea564be2d0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/45ED4IPL2CAN3CMTXPNZNM3WAK/bundle.json","state_url":"https://pith.science/pith/45ED4IPL2CAN3CMTXPNZNM3WAK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/45ED4IPL2CAN3CMTXPNZNM3WAK/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":"2026-06-21T22:27:50Z","links":{"resolver":"https://pith.science/pith/45ED4IPL2CAN3CMTXPNZNM3WAK","bundle":"https://pith.science/pith/45ED4IPL2CAN3CMTXPNZNM3WAK/bundle.json","state":"https://pith.science/pith/45ED4IPL2CAN3CMTXPNZNM3WAK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/45ED4IPL2CAN3CMTXPNZNM3WAK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:45ED4IPL2CAN3CMTXPNZNM3WAK","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":"9e852f87150dfcd4b46c5c1330551438c946616eda77b75520df75908b389f58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-04-27T05:07:27Z","title_canon_sha256":"b1a72372e336ed5f205fd97cb168040860a42e14e1433d73e1f71d427e85fc57"},"schema_version":"1.0","source":{"id":"1504.06927","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.06927","created_at":"2026-05-18T02:17:44Z"},{"alias_kind":"arxiv_version","alias_value":"1504.06927v1","created_at":"2026-05-18T02:17:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06927","created_at":"2026-05-18T02:17:44Z"},{"alias_kind":"pith_short_12","alias_value":"45ED4IPL2CAN","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"45ED4IPL2CAN3CMT","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"45ED4IPL","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:fd7d9dcd7fd002400ead69267ab64e31019ff02c679b77875bd2bfea564be2d0","target":"graph","created_at":"2026-05-18T02:17:44Z","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 common descriptions of phase transitions, first order transitions are characterized by discontinuous jumps in the order parameter and normal fluctuations, while second order transitions are associated with no jumps and anomalous fluctuations. Outside this paradigm are systems exhibiting `mixed order transitions' displaying a mixture of these characteristics. When the jump is maximal and the fluctuations range over the entire range of allowed values, the behavior has been coined an `extreme Thouless effect'. Here, we report findings of such a phenomenon, in the context of dynamic, social net","authors_text":"B. Schmittmann, K. E. Bassler, R. K. P. Zia, Wenjia Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-04-27T05:07:27Z","title":"Extreme Thouless effect in a minimal model of dynamic social networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06927","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:be5493462d9f065e9693ece9401ad2a346f761f8ff710e0a37d15168317563f4","target":"record","created_at":"2026-05-18T02:17:44Z","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":"9e852f87150dfcd4b46c5c1330551438c946616eda77b75520df75908b389f58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-04-27T05:07:27Z","title_canon_sha256":"b1a72372e336ed5f205fd97cb168040860a42e14e1433d73e1f71d427e85fc57"},"schema_version":"1.0","source":{"id":"1504.06927","kind":"arxiv","version":1}},"canonical_sha256":"e7483e21ebd080dd8993bbdb96b37602b6b11200bb6ba1a55a4aeae246eebdc6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7483e21ebd080dd8993bbdb96b37602b6b11200bb6ba1a55a4aeae246eebdc6","first_computed_at":"2026-05-18T02:17:44.086229Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:44.086229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V6pm5dDOY7jkObZjc0ah3dauAimGLoiT1kD+1l08JoBmYSBfF6iGzzk+zPuWJsdh/CTLTj6du6TYE4TcjdUOCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:44.086581Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.06927","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be5493462d9f065e9693ece9401ad2a346f761f8ff710e0a37d15168317563f4","sha256:fd7d9dcd7fd002400ead69267ab64e31019ff02c679b77875bd2bfea564be2d0"],"state_sha256":"27601b23d5391ae6d4afde46eaf43d95af08d66c93d3f35cf69b516003603513"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"agf5fXv+Z1viEqGR6APHiEx9Sx6/vdI+kuNOH7jArP+9yB/9JKmb8Q1k3MsSkHkC71S+6N7JMSAjD81NodAFDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T22:27:50.789411Z","bundle_sha256":"87fde53afcf0062210082a65f1729ab909fdc871d01190383a8727378208c706"}}