{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:5TO7FDK3C4IQH4RNWF37CL6XIT","short_pith_number":"pith:5TO7FDK3","canonical_record":{"source":{"id":"1709.07253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-09-21T10:44:29Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"4679a804e9e3a60cb0a6342ea2bffa67ccb9cee7e6dda5d27c76a329dbec0bd5","abstract_canon_sha256":"7b11e17d4b234f5d48673895ba306a082950598048df4f8b3f010e2d522cea1c"},"schema_version":"1.0"},"canonical_sha256":"ecddf28d5b171103f22db177f12fd744ee68aaac705b4c1867e1798b05bcf021","source":{"kind":"arxiv","id":"1709.07253","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.07253","created_at":"2026-05-18T00:34:36Z"},{"alias_kind":"arxiv_version","alias_value":"1709.07253v1","created_at":"2026-05-18T00:34:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07253","created_at":"2026-05-18T00:34:36Z"},{"alias_kind":"pith_short_12","alias_value":"5TO7FDK3C4IQ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5TO7FDK3C4IQH4RN","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5TO7FDK3","created_at":"2026-05-18T12:31:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:5TO7FDK3C4IQH4RNWF37CL6XIT","target":"record","payload":{"canonical_record":{"source":{"id":"1709.07253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-09-21T10:44:29Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"4679a804e9e3a60cb0a6342ea2bffa67ccb9cee7e6dda5d27c76a329dbec0bd5","abstract_canon_sha256":"7b11e17d4b234f5d48673895ba306a082950598048df4f8b3f010e2d522cea1c"},"schema_version":"1.0"},"canonical_sha256":"ecddf28d5b171103f22db177f12fd744ee68aaac705b4c1867e1798b05bcf021","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:36.199256Z","signature_b64":"4JH8sicCmmIUfCMHMHh1lOdiS2n0nWjxyxSS/df1Q1SqYjYINoJxNBw1ufBwxfUuKTHI+hAt+4lCX6DQQiFfAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ecddf28d5b171103f22db177f12fd744ee68aaac705b4c1867e1798b05bcf021","last_reissued_at":"2026-05-18T00:34:36.198716Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:36.198716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.07253","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":"2026-05-18T00:34:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AxEBeudEHFNhuPLEva+Yjm7UrtsnBbsjvtsYgOpszzLWDsAI9piSg91QwfTUKnzgIqqtoxrlq6+ufS0U9E+8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:19:37.703574Z"},"content_sha256":"4c204e0abcc6abe574cc95444b09ae085e0bd9dc250f77098eeea360d1c59caa","schema_version":"1.0","event_id":"sha256:4c204e0abcc6abe574cc95444b09ae085e0bd9dc250f77098eeea360d1c59caa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:5TO7FDK3C4IQH4RNWF37CL6XIT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Revisiting Resolution and Inter-Layer Coupling Factors in Modularity for Multilayer Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Alessia Amelio, Andrea Tagarelli","submitted_at":"2017-09-21T10:44:29Z","abstract_excerpt":"Modularity for multilayer networks, also called multislice modularity, is parametric to a resolution factor and an inter-layer coupling factor. The former is useful to express layer-specific relevance and the latter quantifies the strength of node linkage across the layers of a network. However, such parameters can be set arbitrarily, thus discarding any structure information at graph or community level. Other issues are related to the inability of properly modeling order relations over the layers, which is required for dynamic networks.\n  In this paper we propose a new definition of modularit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07253","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":"2026-05-18T00:34:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f2gayaNzO0bxK35C673Ax2asumW4RgrgOFLyVITD4WO7IURLB1mAgeCBGnenVSXfMtpeINhzgkQYWGz5ygRiDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:19:37.703915Z"},"content_sha256":"753501a714fbfc17f72951aa4af2a9ecb442b8c6a48b73c0e47d4170862d7589","schema_version":"1.0","event_id":"sha256:753501a714fbfc17f72951aa4af2a9ecb442b8c6a48b73c0e47d4170862d7589"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5TO7FDK3C4IQH4RNWF37CL6XIT/bundle.json","state_url":"https://pith.science/pith/5TO7FDK3C4IQH4RNWF37CL6XIT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5TO7FDK3C4IQH4RNWF37CL6XIT/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":"2026-05-31T12:19:37Z","links":{"resolver":"https://pith.science/pith/5TO7FDK3C4IQH4RNWF37CL6XIT","bundle":"https://pith.science/pith/5TO7FDK3C4IQH4RNWF37CL6XIT/bundle.json","state":"https://pith.science/pith/5TO7FDK3C4IQH4RNWF37CL6XIT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5TO7FDK3C4IQH4RNWF37CL6XIT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5TO7FDK3C4IQH4RNWF37CL6XIT","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":"7b11e17d4b234f5d48673895ba306a082950598048df4f8b3f010e2d522cea1c","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-09-21T10:44:29Z","title_canon_sha256":"4679a804e9e3a60cb0a6342ea2bffa67ccb9cee7e6dda5d27c76a329dbec0bd5"},"schema_version":"1.0","source":{"id":"1709.07253","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.07253","created_at":"2026-05-18T00:34:36Z"},{"alias_kind":"arxiv_version","alias_value":"1709.07253v1","created_at":"2026-05-18T00:34:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07253","created_at":"2026-05-18T00:34:36Z"},{"alias_kind":"pith_short_12","alias_value":"5TO7FDK3C4IQ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5TO7FDK3C4IQH4RN","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5TO7FDK3","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:753501a714fbfc17f72951aa4af2a9ecb442b8c6a48b73c0e47d4170862d7589","target":"graph","created_at":"2026-05-18T00:34:36Z","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":"Modularity for multilayer networks, also called multislice modularity, is parametric to a resolution factor and an inter-layer coupling factor. The former is useful to express layer-specific relevance and the latter quantifies the strength of node linkage across the layers of a network. However, such parameters can be set arbitrarily, thus discarding any structure information at graph or community level. Other issues are related to the inability of properly modeling order relations over the layers, which is required for dynamic networks.\n  In this paper we propose a new definition of modularit","authors_text":"Alessia Amelio, Andrea Tagarelli","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-09-21T10:44:29Z","title":"Revisiting Resolution and Inter-Layer Coupling Factors in Modularity for Multilayer Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07253","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":"sha256:4c204e0abcc6abe574cc95444b09ae085e0bd9dc250f77098eeea360d1c59caa","target":"record","created_at":"2026-05-18T00:34:36Z","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":"7b11e17d4b234f5d48673895ba306a082950598048df4f8b3f010e2d522cea1c","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-09-21T10:44:29Z","title_canon_sha256":"4679a804e9e3a60cb0a6342ea2bffa67ccb9cee7e6dda5d27c76a329dbec0bd5"},"schema_version":"1.0","source":{"id":"1709.07253","kind":"arxiv","version":1}},"canonical_sha256":"ecddf28d5b171103f22db177f12fd744ee68aaac705b4c1867e1798b05bcf021","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecddf28d5b171103f22db177f12fd744ee68aaac705b4c1867e1798b05bcf021","first_computed_at":"2026-05-18T00:34:36.198716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:36.198716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4JH8sicCmmIUfCMHMHh1lOdiS2n0nWjxyxSS/df1Q1SqYjYINoJxNBw1ufBwxfUuKTHI+hAt+4lCX6DQQiFfAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:36.199256Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.07253","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c204e0abcc6abe574cc95444b09ae085e0bd9dc250f77098eeea360d1c59caa","sha256:753501a714fbfc17f72951aa4af2a9ecb442b8c6a48b73c0e47d4170862d7589"],"state_sha256":"9d719c90485d5ce1834fd7e423b6187fdb02a37c1f037ca4ce2075a8892faf04"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b+UVAGWyX97PxXuals6nFhPuCUatSbbh91N4MLaBgUu0ROlKMy8+zBBO1iQSkMYPmEIn1nKuqAaXv7lojlXFDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:19:37.705862Z","bundle_sha256":"28a1741565a6fbe3f4c3d02d7bd0f25f4766bbefa29e895e8ffcd9441169abc0"}}