{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:DV4HEHWYUZA657NE5PVPFEJAHA","short_pith_number":"pith:DV4HEHWY","canonical_record":{"source":{"id":"1506.06664","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-06-22T16:01:52Z","cross_cats_sorted":["q-fin.RM"],"title_canon_sha256":"99c59470f8b75b581ef25bd6c46e692e3db74291da9973cdb4d6be6f6e646368","abstract_canon_sha256":"5df46c2ad8d61417ac05c616952a28001655022a0122b5b28056ddf62672aa35"},"schema_version":"1.0"},"canonical_sha256":"1d78721ed8a641eefda4ebeaf291203815ebe82f4ac30fed0b5ac6b0324db738","source":{"kind":"arxiv","id":"1506.06664","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06664","created_at":"2026-05-18T00:52:23Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06664v1","created_at":"2026-05-18T00:52:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06664","created_at":"2026-05-18T00:52:23Z"},{"alias_kind":"pith_short_12","alias_value":"DV4HEHWYUZA6","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DV4HEHWYUZA657NE","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DV4HEHWY","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:DV4HEHWYUZA657NE5PVPFEJAHA","target":"record","payload":{"canonical_record":{"source":{"id":"1506.06664","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-06-22T16:01:52Z","cross_cats_sorted":["q-fin.RM"],"title_canon_sha256":"99c59470f8b75b581ef25bd6c46e692e3db74291da9973cdb4d6be6f6e646368","abstract_canon_sha256":"5df46c2ad8d61417ac05c616952a28001655022a0122b5b28056ddf62672aa35"},"schema_version":"1.0"},"canonical_sha256":"1d78721ed8a641eefda4ebeaf291203815ebe82f4ac30fed0b5ac6b0324db738","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:23.940989Z","signature_b64":"pLQDfiR4sYEPQQilWjsNuyU6prnpc5NWBFLBkIPtxGjRZ9SchdhYWMDxWXQgOted0ANWfBJKnlaEckbdR0EFDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d78721ed8a641eefda4ebeaf291203815ebe82f4ac30fed0b5ac6b0324db738","last_reissued_at":"2026-05-18T00:52:23.940274Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:23.940274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.06664","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":"2026-05-18T00:52:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yOAC1jG04w16SKGwRlPAit4mwz9bfh91zg4mwQokkVgnwEZ+GriVopfTmO3T27QIZijxcTnFmGJETx/wmCxDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:39:16.512529Z"},"content_sha256":"94c29e4645c028ca98dd2eaa8e74ac95fc9dab84bebf2228a83ad28f184507ef","schema_version":"1.0","event_id":"sha256:94c29e4645c028ca98dd2eaa8e74ac95fc9dab84bebf2228a83ad28f184507ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:DV4HEHWYUZA657NE5PVPFEJAHA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Systemic risk in multiplex networks with asymmetric coupling and threshold feedback","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.RM"],"primary_cat":"physics.soc-ph","authors_text":"Antonios Garas, Frank Schweitzer, Matt V. Leduc, Rebekka Burkholz","submitted_at":"2015-06-22T16:01:52Z","abstract_excerpt":"We study cascades on a two-layer multiplex network, with asymmetric feedback that depends on the coupling strength between the layers. Based on an analytical branching process approximation, we calculate the systemic risk measured by the final fraction of failed nodes on a reference layer. The results are compared with the case of a single layer network that is an aggregated representation of the two layers. We find that systemic risk in the two-layer network is smaller than in the aggregated one only if the coupling strength between the two layers is small. Above a critical coupling strength,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06664","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":"2026-05-18T00:52:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iHC2lN+FqqAy6V6uRD/UIrGZED7q6unGwd4UFqCHgMoNSYynzgCGQo67KVvWiNslFzUrNDXxCF9YRB9oR0scCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:39:16.513173Z"},"content_sha256":"7ca8e27d3744d298dd11cf7cf56b7b5b9d9f5df21f222e93d9cc34dadfafabea","schema_version":"1.0","event_id":"sha256:7ca8e27d3744d298dd11cf7cf56b7b5b9d9f5df21f222e93d9cc34dadfafabea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DV4HEHWYUZA657NE5PVPFEJAHA/bundle.json","state_url":"https://pith.science/pith/DV4HEHWYUZA657NE5PVPFEJAHA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DV4HEHWYUZA657NE5PVPFEJAHA/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":"2026-05-27T21:39:16Z","links":{"resolver":"https://pith.science/pith/DV4HEHWYUZA657NE5PVPFEJAHA","bundle":"https://pith.science/pith/DV4HEHWYUZA657NE5PVPFEJAHA/bundle.json","state":"https://pith.science/pith/DV4HEHWYUZA657NE5PVPFEJAHA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DV4HEHWYUZA657NE5PVPFEJAHA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DV4HEHWYUZA657NE5PVPFEJAHA","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":"5df46c2ad8d61417ac05c616952a28001655022a0122b5b28056ddf62672aa35","cross_cats_sorted":["q-fin.RM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-06-22T16:01:52Z","title_canon_sha256":"99c59470f8b75b581ef25bd6c46e692e3db74291da9973cdb4d6be6f6e646368"},"schema_version":"1.0","source":{"id":"1506.06664","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06664","created_at":"2026-05-18T00:52:23Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06664v1","created_at":"2026-05-18T00:52:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06664","created_at":"2026-05-18T00:52:23Z"},{"alias_kind":"pith_short_12","alias_value":"DV4HEHWYUZA6","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DV4HEHWYUZA657NE","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DV4HEHWY","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:7ca8e27d3744d298dd11cf7cf56b7b5b9d9f5df21f222e93d9cc34dadfafabea","target":"graph","created_at":"2026-05-18T00:52:23Z","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 study cascades on a two-layer multiplex network, with asymmetric feedback that depends on the coupling strength between the layers. Based on an analytical branching process approximation, we calculate the systemic risk measured by the final fraction of failed nodes on a reference layer. The results are compared with the case of a single layer network that is an aggregated representation of the two layers. We find that systemic risk in the two-layer network is smaller than in the aggregated one only if the coupling strength between the two layers is small. Above a critical coupling strength,","authors_text":"Antonios Garas, Frank Schweitzer, Matt V. Leduc, Rebekka Burkholz","cross_cats":["q-fin.RM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-06-22T16:01:52Z","title":"Systemic risk in multiplex networks with asymmetric coupling and threshold feedback"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06664","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":"sha256:94c29e4645c028ca98dd2eaa8e74ac95fc9dab84bebf2228a83ad28f184507ef","target":"record","created_at":"2026-05-18T00:52:23Z","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":"5df46c2ad8d61417ac05c616952a28001655022a0122b5b28056ddf62672aa35","cross_cats_sorted":["q-fin.RM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-06-22T16:01:52Z","title_canon_sha256":"99c59470f8b75b581ef25bd6c46e692e3db74291da9973cdb4d6be6f6e646368"},"schema_version":"1.0","source":{"id":"1506.06664","kind":"arxiv","version":1}},"canonical_sha256":"1d78721ed8a641eefda4ebeaf291203815ebe82f4ac30fed0b5ac6b0324db738","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d78721ed8a641eefda4ebeaf291203815ebe82f4ac30fed0b5ac6b0324db738","first_computed_at":"2026-05-18T00:52:23.940274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:23.940274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pLQDfiR4sYEPQQilWjsNuyU6prnpc5NWBFLBkIPtxGjRZ9SchdhYWMDxWXQgOted0ANWfBJKnlaEckbdR0EFDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:23.940989Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.06664","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94c29e4645c028ca98dd2eaa8e74ac95fc9dab84bebf2228a83ad28f184507ef","sha256:7ca8e27d3744d298dd11cf7cf56b7b5b9d9f5df21f222e93d9cc34dadfafabea"],"state_sha256":"4525f53fdcdaa5759b8b34deabaca0472d77d3c7845a9251f3bbb6a2b677fb03"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ixDKPd9y4qI0FrRz/XJufd7PQ0+pxo4exL1RWwDqm8aqDntFjjAP5GimyquJg3Qs+FCopFROMXVWJS6l+M5CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:39:16.516753Z","bundle_sha256":"44429db7eb79f8020083cce61a6632841a4b2d6ee581b4ec8f73003479d78ba3"}}