{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:S2FNP736GKFWGEXSVTDLWGFTAF","short_pith_number":"pith:S2FNP736","canonical_record":{"source":{"id":"1610.03936","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-10-13T04:23:07Z","cross_cats_sorted":["cond-mat.stat-mech","cs.SI","q-fin.GN"],"title_canon_sha256":"b40ffb71bba6f86872c3d99bc2a6571aa977eb3b98f5dc8b56730b09ca91f046","abstract_canon_sha256":"ecbf39e09134288af2009e612d22edc92e5459fa941b5381a8461be0e0ab01ad"},"schema_version":"1.0"},"canonical_sha256":"968ad7ff7e328b6312f2acc6bb18b301774203c35f58c793b6534bcf038006ec","source":{"kind":"arxiv","id":"1610.03936","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.03936","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"arxiv_version","alias_value":"1610.03936v1","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03936","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"pith_short_12","alias_value":"S2FNP736GKFW","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"S2FNP736GKFWGEXS","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"S2FNP736","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:S2FNP736GKFWGEXSVTDLWGFTAF","target":"record","payload":{"canonical_record":{"source":{"id":"1610.03936","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-10-13T04:23:07Z","cross_cats_sorted":["cond-mat.stat-mech","cs.SI","q-fin.GN"],"title_canon_sha256":"b40ffb71bba6f86872c3d99bc2a6571aa977eb3b98f5dc8b56730b09ca91f046","abstract_canon_sha256":"ecbf39e09134288af2009e612d22edc92e5459fa941b5381a8461be0e0ab01ad"},"schema_version":"1.0"},"canonical_sha256":"968ad7ff7e328b6312f2acc6bb18b301774203c35f58c793b6534bcf038006ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:39.485045Z","signature_b64":"ntn/D20NXCLXIYvpUoRFS7zCerrmJl0xFfrrQz2uEZPE7/utkmmzQwvpgMRhxH9MidPBmJCZKCHMUl8MA97xAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"968ad7ff7e328b6312f2acc6bb18b301774203c35f58c793b6534bcf038006ec","last_reissued_at":"2026-05-18T00:46:39.484266Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:39.484266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.03936","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":"2026-05-18T00:46:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f4lrbe5Sf8zWTF1ekDy5HscDkfdy1xXHa64JEU42/dNdKt/b2V0piBIwKy23raMV5nHsQahrQxQDij2L5ZO9Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T20:00:40.006358Z"},"content_sha256":"4212bcc261bd364077feb4894d503d3204c778156e06c8235d2489c225b69226","schema_version":"1.0","event_id":"sha256:4212bcc261bd364077feb4894d503d3204c778156e06c8235d2489c225b69226"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:S2FNP736GKFWGEXSVTDLWGFTAF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A framework for analyzing contagion in assortative banking networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.SI","q-fin.GN"],"primary_cat":"physics.soc-ph","authors_text":"James P. Gleeson, Sergey Melnik, Thomas R. Hurd","submitted_at":"2016-10-13T04:23:07Z","abstract_excerpt":"We introduce a probabilistic framework that represents stylized banking networks with the aim of predicting the size of contagion events. Most previous work on random financial networks assumes independent connections between banks, whereas our framework explicitly allows for (dis)assortative edge probabilities (e.g., a tendency for small banks to link to large banks). We analyze default cascades triggered by shocking the network and find that the cascade can be understood as an explicit iterated mapping on a set of edge probabilities that converges to a fixed point. We derive a cascade condit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03936","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":"2026-05-18T00:46:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4T07Kl5ocCQIQgco3JUs7RbMXiNo09QWkVfT6XatVJosOsofmWDiWf7iWA+JpKtPtLKE5YqftCR+DIuUrDkfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T20:00:40.006977Z"},"content_sha256":"a4111869830de8c3e19b8b82cc50e5d3baa0ed5f3720a2fe8586ad7dee0849e0","schema_version":"1.0","event_id":"sha256:a4111869830de8c3e19b8b82cc50e5d3baa0ed5f3720a2fe8586ad7dee0849e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S2FNP736GKFWGEXSVTDLWGFTAF/bundle.json","state_url":"https://pith.science/pith/S2FNP736GKFWGEXSVTDLWGFTAF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S2FNP736GKFWGEXSVTDLWGFTAF/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":"2026-05-20T20:00:40Z","links":{"resolver":"https://pith.science/pith/S2FNP736GKFWGEXSVTDLWGFTAF","bundle":"https://pith.science/pith/S2FNP736GKFWGEXSVTDLWGFTAF/bundle.json","state":"https://pith.science/pith/S2FNP736GKFWGEXSVTDLWGFTAF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S2FNP736GKFWGEXSVTDLWGFTAF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:S2FNP736GKFWGEXSVTDLWGFTAF","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":"ecbf39e09134288af2009e612d22edc92e5459fa941b5381a8461be0e0ab01ad","cross_cats_sorted":["cond-mat.stat-mech","cs.SI","q-fin.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-10-13T04:23:07Z","title_canon_sha256":"b40ffb71bba6f86872c3d99bc2a6571aa977eb3b98f5dc8b56730b09ca91f046"},"schema_version":"1.0","source":{"id":"1610.03936","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.03936","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"arxiv_version","alias_value":"1610.03936v1","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03936","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"pith_short_12","alias_value":"S2FNP736GKFW","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"S2FNP736GKFWGEXS","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"S2FNP736","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:a4111869830de8c3e19b8b82cc50e5d3baa0ed5f3720a2fe8586ad7dee0849e0","target":"graph","created_at":"2026-05-18T00:46:39Z","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 introduce a probabilistic framework that represents stylized banking networks with the aim of predicting the size of contagion events. Most previous work on random financial networks assumes independent connections between banks, whereas our framework explicitly allows for (dis)assortative edge probabilities (e.g., a tendency for small banks to link to large banks). We analyze default cascades triggered by shocking the network and find that the cascade can be understood as an explicit iterated mapping on a set of edge probabilities that converges to a fixed point. We derive a cascade condit","authors_text":"James P. Gleeson, Sergey Melnik, Thomas R. Hurd","cross_cats":["cond-mat.stat-mech","cs.SI","q-fin.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-10-13T04:23:07Z","title":"A framework for analyzing contagion in assortative banking networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03936","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":"sha256:4212bcc261bd364077feb4894d503d3204c778156e06c8235d2489c225b69226","target":"record","created_at":"2026-05-18T00:46:39Z","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":"ecbf39e09134288af2009e612d22edc92e5459fa941b5381a8461be0e0ab01ad","cross_cats_sorted":["cond-mat.stat-mech","cs.SI","q-fin.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-10-13T04:23:07Z","title_canon_sha256":"b40ffb71bba6f86872c3d99bc2a6571aa977eb3b98f5dc8b56730b09ca91f046"},"schema_version":"1.0","source":{"id":"1610.03936","kind":"arxiv","version":1}},"canonical_sha256":"968ad7ff7e328b6312f2acc6bb18b301774203c35f58c793b6534bcf038006ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"968ad7ff7e328b6312f2acc6bb18b301774203c35f58c793b6534bcf038006ec","first_computed_at":"2026-05-18T00:46:39.484266Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:39.484266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ntn/D20NXCLXIYvpUoRFS7zCerrmJl0xFfrrQz2uEZPE7/utkmmzQwvpgMRhxH9MidPBmJCZKCHMUl8MA97xAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:39.485045Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.03936","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4212bcc261bd364077feb4894d503d3204c778156e06c8235d2489c225b69226","sha256:a4111869830de8c3e19b8b82cc50e5d3baa0ed5f3720a2fe8586ad7dee0849e0"],"state_sha256":"4dc528b498b9824617f6a54ae2632dfd3528b8e4cfba077a1c244e95a60b6437"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kxAP61eNCIwES3x03k1MR5Lcjq3UhVrjrqIUTKf1H0NU5IZ4jK52h875h0Kq6OJvVJvlalupNw5L80HjCasOBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T20:00:40.011022Z","bundle_sha256":"19ffc544d23c108a0e410f57c52157b9119362784949fe9a4eed8bb2cd662cec"}}