{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:HCNI7NHC3XUU5XCDVNDU4VRNDG","short_pith_number":"pith:HCNI7NHC","canonical_record":{"source":{"id":"1304.3597","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-04-12T10:34:32Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"50926c1618494be4ff42549a0bb8fe6331abb120a96e6b2914378f043a1a3196","abstract_canon_sha256":"fc1e24b468afaaf7d6a064122e4c90cab52784bdb52783b9ec36c79f5b18234a"},"schema_version":"1.0"},"canonical_sha256":"389a8fb4e2dde94edc43ab474e562d1998c118a091d13c3b40f7d5522da3cff0","source":{"kind":"arxiv","id":"1304.3597","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3597","created_at":"2026-05-18T01:50:33Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3597v1","created_at":"2026-05-18T01:50:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3597","created_at":"2026-05-18T01:50:33Z"},{"alias_kind":"pith_short_12","alias_value":"HCNI7NHC3XUU","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HCNI7NHC3XUU5XCD","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HCNI7NHC","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:HCNI7NHC3XUU5XCDVNDU4VRNDG","target":"record","payload":{"canonical_record":{"source":{"id":"1304.3597","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-04-12T10:34:32Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"50926c1618494be4ff42549a0bb8fe6331abb120a96e6b2914378f043a1a3196","abstract_canon_sha256":"fc1e24b468afaaf7d6a064122e4c90cab52784bdb52783b9ec36c79f5b18234a"},"schema_version":"1.0"},"canonical_sha256":"389a8fb4e2dde94edc43ab474e562d1998c118a091d13c3b40f7d5522da3cff0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:33.484859Z","signature_b64":"2pcGNS6GDCTRqypzQaylrfkMpfesRvjgjUoKJAWrOnWJTbM1hTU+iX/xKcQUw2tTDcjQ0TIV1jIoXkdZw6HPAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"389a8fb4e2dde94edc43ab474e562d1998c118a091d13c3b40f7d5522da3cff0","last_reissued_at":"2026-05-18T01:50:33.484211Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:33.484211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.3597","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":"2026-05-18T01:50:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D12csPkMVJniDwBS3suHd2Opt+FYP28RKLhbwDA5ibE66JIQmINj9/s1yex1xt+AISQx6I5ZUscLtaEB7s1lBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:36:10.821467Z"},"content_sha256":"be5ce69bb02efaa1c0ba82e60c7031105ab1d7030e275abe229278a05f2ff2ad","schema_version":"1.0","event_id":"sha256:be5ce69bb02efaa1c0ba82e60c7031105ab1d7030e275abe229278a05f2ff2ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:HCNI7NHC3XUU5XCDVNDU4VRNDG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Percolation on interdependent networks with a fraction of antagonistic interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Ginestra Bianconi, Kun Zhao","submitted_at":"2013-04-12T10:34:32Z","abstract_excerpt":"Recently, the percolation transition has been characterized on interacting networks both in presence of interdependent and antagonistic interactions. Here we characterize the phase diagram of the percolation transition in two Poisson interdependent networks with a percentage q of antagonistic nodes. We show that this system can present a bistability of the steady state solutions, and both first, and second order phase transitions. In particular, we observe a bistability of the solutions in some regions of the phase space also for a small fraction of antagonistic interactions 0<q<0.4. Moreover,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3597","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":"2026-05-18T01:50:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6ll7pX8cF+LqpDdqI9cu0ns1wtmW9FCG0a0uR46UKkm/1YaUb35semT5x4qV2USMiZabPsEY2wOhtvGMexlIBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:36:10.821845Z"},"content_sha256":"b1ee522555ea037870b257cf36f59494b7e076a141fd56940717811749606b77","schema_version":"1.0","event_id":"sha256:b1ee522555ea037870b257cf36f59494b7e076a141fd56940717811749606b77"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HCNI7NHC3XUU5XCDVNDU4VRNDG/bundle.json","state_url":"https://pith.science/pith/HCNI7NHC3XUU5XCDVNDU4VRNDG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HCNI7NHC3XUU5XCDVNDU4VRNDG/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":"2026-05-31T03:36:10Z","links":{"resolver":"https://pith.science/pith/HCNI7NHC3XUU5XCDVNDU4VRNDG","bundle":"https://pith.science/pith/HCNI7NHC3XUU5XCDVNDU4VRNDG/bundle.json","state":"https://pith.science/pith/HCNI7NHC3XUU5XCDVNDU4VRNDG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HCNI7NHC3XUU5XCDVNDU4VRNDG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HCNI7NHC3XUU5XCDVNDU4VRNDG","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":"fc1e24b468afaaf7d6a064122e4c90cab52784bdb52783b9ec36c79f5b18234a","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-04-12T10:34:32Z","title_canon_sha256":"50926c1618494be4ff42549a0bb8fe6331abb120a96e6b2914378f043a1a3196"},"schema_version":"1.0","source":{"id":"1304.3597","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3597","created_at":"2026-05-18T01:50:33Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3597v1","created_at":"2026-05-18T01:50:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3597","created_at":"2026-05-18T01:50:33Z"},{"alias_kind":"pith_short_12","alias_value":"HCNI7NHC3XUU","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HCNI7NHC3XUU5XCD","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HCNI7NHC","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:b1ee522555ea037870b257cf36f59494b7e076a141fd56940717811749606b77","target":"graph","created_at":"2026-05-18T01:50:33Z","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":"Recently, the percolation transition has been characterized on interacting networks both in presence of interdependent and antagonistic interactions. Here we characterize the phase diagram of the percolation transition in two Poisson interdependent networks with a percentage q of antagonistic nodes. We show that this system can present a bistability of the steady state solutions, and both first, and second order phase transitions. In particular, we observe a bistability of the solutions in some regions of the phase space also for a small fraction of antagonistic interactions 0<q<0.4. Moreover,","authors_text":"Ginestra Bianconi, Kun Zhao","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-04-12T10:34:32Z","title":"Percolation on interdependent networks with a fraction of antagonistic interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3597","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:be5ce69bb02efaa1c0ba82e60c7031105ab1d7030e275abe229278a05f2ff2ad","target":"record","created_at":"2026-05-18T01:50:33Z","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":"fc1e24b468afaaf7d6a064122e4c90cab52784bdb52783b9ec36c79f5b18234a","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-04-12T10:34:32Z","title_canon_sha256":"50926c1618494be4ff42549a0bb8fe6331abb120a96e6b2914378f043a1a3196"},"schema_version":"1.0","source":{"id":"1304.3597","kind":"arxiv","version":1}},"canonical_sha256":"389a8fb4e2dde94edc43ab474e562d1998c118a091d13c3b40f7d5522da3cff0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"389a8fb4e2dde94edc43ab474e562d1998c118a091d13c3b40f7d5522da3cff0","first_computed_at":"2026-05-18T01:50:33.484211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:33.484211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2pcGNS6GDCTRqypzQaylrfkMpfesRvjgjUoKJAWrOnWJTbM1hTU+iX/xKcQUw2tTDcjQ0TIV1jIoXkdZw6HPAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:33.484859Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.3597","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be5ce69bb02efaa1c0ba82e60c7031105ab1d7030e275abe229278a05f2ff2ad","sha256:b1ee522555ea037870b257cf36f59494b7e076a141fd56940717811749606b77"],"state_sha256":"ee0532b2bbb002d273eed9c6f4eee40a0b89e98829df05ad729356e0f1a444c7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JUnEP+qvhwGBrjOCnczPbDQBU9QRVw01I2h25YO2+69tL4JiAGrNZ8QFgooNWodRXx6QZrbisFPZj/SnR8F+Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T03:36:10.824249Z","bundle_sha256":"f3c22431a9b7135b85456c674bac3d17c41b0291bfe29756313917de51d7bf13"}}