{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:5ZHK457MD36FY6NIMS3R2FVD3N","short_pith_number":"pith:5ZHK457M","canonical_record":{"source":{"id":"2502.08567","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-02-12T16:56:34Z","cross_cats_sorted":["physics.app-ph","physics.data-an"],"title_canon_sha256":"024649a1403744ec8394e5e898a96f0b7c49e05d23b6dc7beadf1db7484667c5","abstract_canon_sha256":"dff79395eb87ae376407cd66842526b3cd18e0922ded70cbfc9c203375103953"},"schema_version":"1.0"},"canonical_sha256":"ee4eae77ec1efc5c79a864b71d16a3db77ae4ec9b9930cd31b3b73c17624eef0","source":{"kind":"arxiv","id":"2502.08567","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.08567","created_at":"2026-07-05T11:34:47Z"},{"alias_kind":"arxiv_version","alias_value":"2502.08567v2","created_at":"2026-07-05T11:34:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.08567","created_at":"2026-07-05T11:34:47Z"},{"alias_kind":"pith_short_12","alias_value":"5ZHK457MD36F","created_at":"2026-07-05T11:34:47Z"},{"alias_kind":"pith_short_16","alias_value":"5ZHK457MD36FY6NI","created_at":"2026-07-05T11:34:47Z"},{"alias_kind":"pith_short_8","alias_value":"5ZHK457M","created_at":"2026-07-05T11:34:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:5ZHK457MD36FY6NIMS3R2FVD3N","target":"record","payload":{"canonical_record":{"source":{"id":"2502.08567","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-02-12T16:56:34Z","cross_cats_sorted":["physics.app-ph","physics.data-an"],"title_canon_sha256":"024649a1403744ec8394e5e898a96f0b7c49e05d23b6dc7beadf1db7484667c5","abstract_canon_sha256":"dff79395eb87ae376407cd66842526b3cd18e0922ded70cbfc9c203375103953"},"schema_version":"1.0"},"canonical_sha256":"ee4eae77ec1efc5c79a864b71d16a3db77ae4ec9b9930cd31b3b73c17624eef0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:34:47.253205Z","signature_b64":"glIFm5vX9BrpXZL2Tn26c+t5xAdsI+hdYAiWaBd0nnmNEMQY/aKJNtGYSaQ+2O87WnXe5CBz74mldV6+KTfHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee4eae77ec1efc5c79a864b71d16a3db77ae4ec9b9930cd31b3b73c17624eef0","last_reissued_at":"2026-07-05T11:34:47.252605Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:34:47.252605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.08567","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:34:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R6Nk4521otdbkE8e0IfVxQKCG3hSD973i6GKXxeUwWPxpWBtGJDm9fXLqIH3TTxmJK3SQsWDiFJjSW4UU1PyDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T00:38:37.236370Z"},"content_sha256":"9db99746c6aa071c7483d002b5b8487f3b71dd7e869b0ba2bc8012e0f104ba5e","schema_version":"1.0","event_id":"sha256:9db99746c6aa071c7483d002b5b8487f3b71dd7e869b0ba2bc8012e0f104ba5e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:5ZHK457MD36FY6NIMS3R2FVD3N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistically validated projection of bipartite signed networks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.app-ph","physics.data-an"],"primary_cat":"physics.soc-ph","authors_text":"Anna Gallo, Fabio Saracco, Tiziano Squartini","submitted_at":"2025-02-12T16:56:34Z","abstract_excerpt":"Bipartite networks provide a major insight into the organisation of many real-world systems. One of the most relevant issues encountered when modelling a bipartite network is that of facing the information shortage concerning intra-layer linkages. In the present contribution, we propose an unsupervised algorithm to obtain statistically validated projections of bipartite signed networks, according to which any two nodes sharing a statistically significant number of concordant (discordant) relationships are connected by a positive (negative) edge. Our algorithm outputs a matrix of link-specific "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.08567","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.08567/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:34:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fDULdM9Im8C7UqE1xamtwu2yrK0kR/JANnLsEJRB97eUMW+kJyWxkUkpr2oMDtjqNrccUfD0zcivtjYeRymVAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T00:38:37.239172Z"},"content_sha256":"831de99369cf3f033cb2aed5f887b6aebbe5639a32be2c8962d49d8fcfd0308b","schema_version":"1.0","event_id":"sha256:831de99369cf3f033cb2aed5f887b6aebbe5639a32be2c8962d49d8fcfd0308b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5ZHK457MD36FY6NIMS3R2FVD3N/bundle.json","state_url":"https://pith.science/pith/5ZHK457MD36FY6NIMS3R2FVD3N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5ZHK457MD36FY6NIMS3R2FVD3N/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":"2026-08-15T00:38:37Z","links":{"resolver":"https://pith.science/pith/5ZHK457MD36FY6NIMS3R2FVD3N","bundle":"https://pith.science/pith/5ZHK457MD36FY6NIMS3R2FVD3N/bundle.json","state":"https://pith.science/pith/5ZHK457MD36FY6NIMS3R2FVD3N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5ZHK457MD36FY6NIMS3R2FVD3N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5ZHK457MD36FY6NIMS3R2FVD3N","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":"dff79395eb87ae376407cd66842526b3cd18e0922ded70cbfc9c203375103953","cross_cats_sorted":["physics.app-ph","physics.data-an"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-02-12T16:56:34Z","title_canon_sha256":"024649a1403744ec8394e5e898a96f0b7c49e05d23b6dc7beadf1db7484667c5"},"schema_version":"1.0","source":{"id":"2502.08567","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.08567","created_at":"2026-07-05T11:34:47Z"},{"alias_kind":"arxiv_version","alias_value":"2502.08567v2","created_at":"2026-07-05T11:34:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.08567","created_at":"2026-07-05T11:34:47Z"},{"alias_kind":"pith_short_12","alias_value":"5ZHK457MD36F","created_at":"2026-07-05T11:34:47Z"},{"alias_kind":"pith_short_16","alias_value":"5ZHK457MD36FY6NI","created_at":"2026-07-05T11:34:47Z"},{"alias_kind":"pith_short_8","alias_value":"5ZHK457M","created_at":"2026-07-05T11:34:47Z"}],"graph_snapshots":[{"event_id":"sha256:831de99369cf3f033cb2aed5f887b6aebbe5639a32be2c8962d49d8fcfd0308b","target":"graph","created_at":"2026-07-05T11:34:47Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2502.08567/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Bipartite networks provide a major insight into the organisation of many real-world systems. One of the most relevant issues encountered when modelling a bipartite network is that of facing the information shortage concerning intra-layer linkages. In the present contribution, we propose an unsupervised algorithm to obtain statistically validated projections of bipartite signed networks, according to which any two nodes sharing a statistically significant number of concordant (discordant) relationships are connected by a positive (negative) edge. Our algorithm outputs a matrix of link-specific ","authors_text":"Anna Gallo, Fabio Saracco, Tiziano Squartini","cross_cats":["physics.app-ph","physics.data-an"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-02-12T16:56:34Z","title":"Statistically validated projection of bipartite signed networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.08567","kind":"arxiv","version":2},"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":"sha256:9db99746c6aa071c7483d002b5b8487f3b71dd7e869b0ba2bc8012e0f104ba5e","target":"record","created_at":"2026-07-05T11:34:47Z","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":"dff79395eb87ae376407cd66842526b3cd18e0922ded70cbfc9c203375103953","cross_cats_sorted":["physics.app-ph","physics.data-an"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-02-12T16:56:34Z","title_canon_sha256":"024649a1403744ec8394e5e898a96f0b7c49e05d23b6dc7beadf1db7484667c5"},"schema_version":"1.0","source":{"id":"2502.08567","kind":"arxiv","version":2}},"canonical_sha256":"ee4eae77ec1efc5c79a864b71d16a3db77ae4ec9b9930cd31b3b73c17624eef0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee4eae77ec1efc5c79a864b71d16a3db77ae4ec9b9930cd31b3b73c17624eef0","first_computed_at":"2026-07-05T11:34:47.252605Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:34:47.252605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"glIFm5vX9BrpXZL2Tn26c+t5xAdsI+hdYAiWaBd0nnmNEMQY/aKJNtGYSaQ+2O87WnXe5CBz74mldV6+KTfHCw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:34:47.253205Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.08567","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9db99746c6aa071c7483d002b5b8487f3b71dd7e869b0ba2bc8012e0f104ba5e","sha256:831de99369cf3f033cb2aed5f887b6aebbe5639a32be2c8962d49d8fcfd0308b"],"state_sha256":"6e3d76800fcd7658b8a54e659705f42bd01049fc1043c3ea459686082948034d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m57roLmrrywrCn/IkMJH8SPaTkpMCGCbs9CUuqgAUC9mI4sRJfO0scdJ7uklI++ZK0PJs9jQSNOZOrwI8BCWCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T00:38:37.284202Z","bundle_sha256":"f287fc143832abec14ae6b3fc8cec816ecdd11aca7303869d183ca4d24a575da"}}