{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:R5RQ2CEQOWFZUVVMOGEZJYP7I4","short_pith_number":"pith:R5RQ2CEQ","canonical_record":{"source":{"id":"nlin/0609042","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"nlin.AO","submitted_at":"2006-09-15T20:08:23Z","cross_cats_sorted":["cond-mat.stat-mech","cs.CY","physics.data-an"],"title_canon_sha256":"73940fc016e73081855ca5fbd3704317c8c536b51d0ac06bf7046abfabf0b438","abstract_canon_sha256":"9fe7d232ef07b82543b78d8ac332f47f3c27b881cbaf2d50d6c7ecd63f995bd6"},"schema_version":"1.0"},"canonical_sha256":"8f630d0890758b9a56ac718994e1ff472180a80e239cf3eb014fa4f5c5574fdf","source":{"kind":"arxiv","id":"nlin/0609042","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0609042","created_at":"2026-05-18T04:08:52Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0609042v2","created_at":"2026-05-18T04:08:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0609042","created_at":"2026-05-18T04:08:52Z"},{"alias_kind":"pith_short_12","alias_value":"R5RQ2CEQOWFZ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"R5RQ2CEQOWFZUVVM","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"R5RQ2CEQ","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:R5RQ2CEQOWFZUVVMOGEZJYP7I4","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0609042","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"nlin.AO","submitted_at":"2006-09-15T20:08:23Z","cross_cats_sorted":["cond-mat.stat-mech","cs.CY","physics.data-an"],"title_canon_sha256":"73940fc016e73081855ca5fbd3704317c8c536b51d0ac06bf7046abfabf0b438","abstract_canon_sha256":"9fe7d232ef07b82543b78d8ac332f47f3c27b881cbaf2d50d6c7ecd63f995bd6"},"schema_version":"1.0"},"canonical_sha256":"8f630d0890758b9a56ac718994e1ff472180a80e239cf3eb014fa4f5c5574fdf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:52.785214Z","signature_b64":"4j28kunbfURZPjUSQo6VSaB5rInWNg0gyUT/hCVF59mImNNI3+QPA11hl58joMtHh0Ln6evO032yuE4O06eSAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f630d0890758b9a56ac718994e1ff472180a80e239cf3eb014fa4f5c5574fdf","last_reissued_at":"2026-05-18T04:08:52.784751Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:52.784751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0609042","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":"2026-05-18T04:08:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gE2S97HymNdI4xFapur9m9RqjRrHFj4S+/IHIpoC4RZgIvGpXt7cLigU3tBGnYzXF5rKdcK5g6mMtvItqX2DBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T21:52:32.191050Z"},"content_sha256":"90aa7fedb45d2959d363400a913b230afe6b9b93342b0459428fad38a851b35e","schema_version":"1.0","event_id":"sha256:90aa7fedb45d2959d363400a913b230afe6b9b93342b0459428fad38a851b35e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:R5RQ2CEQOWFZUVVMOGEZJYP7I4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Formal Treatment of Generalized Preferential Attachment and its Empirical Validation","license":"","headline":"","cross_cats":["cond-mat.stat-mech","cs.CY","physics.data-an"],"primary_cat":"nlin.AO","authors_text":"Amac Herdagdelen, Eser Aygun, Haluk Bingol","submitted_at":"2006-09-15T20:08:23Z","abstract_excerpt":"Generalized preferential attachment is defined as the tendency of a vertex to acquire new links in the future with respect to a particular vertex property. Understanding which properties influence link acquisition tendency (LAT) gives us a predictive power to estimate the future growth of network and insight about the actual dynamics governing the complex networks. In this study, we explore the effect of age and degree on LAT by analyzing data collected from a new complex-network growth dataset. We found that LAT and degree of a vertex are linearly correlated in accordance with previous studie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0609042","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":""},"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":"2026-05-18T04:08:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sTu1cJtHDFjbBNuBLT1hWDEeYuYAoAHaWOh70o4YPpTuyI+NJPKl/G5Fpuk+02vL8oZxr9WB0V1ognvrrOprDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T21:52:32.191393Z"},"content_sha256":"8d40efdc7e14cf7abe3934f99b764700b1340e9e1f03934a681b443cd4526102","schema_version":"1.0","event_id":"sha256:8d40efdc7e14cf7abe3934f99b764700b1340e9e1f03934a681b443cd4526102"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R5RQ2CEQOWFZUVVMOGEZJYP7I4/bundle.json","state_url":"https://pith.science/pith/R5RQ2CEQOWFZUVVMOGEZJYP7I4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R5RQ2CEQOWFZUVVMOGEZJYP7I4/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":"2026-06-28T21:52:32Z","links":{"resolver":"https://pith.science/pith/R5RQ2CEQOWFZUVVMOGEZJYP7I4","bundle":"https://pith.science/pith/R5RQ2CEQOWFZUVVMOGEZJYP7I4/bundle.json","state":"https://pith.science/pith/R5RQ2CEQOWFZUVVMOGEZJYP7I4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R5RQ2CEQOWFZUVVMOGEZJYP7I4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:R5RQ2CEQOWFZUVVMOGEZJYP7I4","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":"9fe7d232ef07b82543b78d8ac332f47f3c27b881cbaf2d50d6c7ecd63f995bd6","cross_cats_sorted":["cond-mat.stat-mech","cs.CY","physics.data-an"],"license":"","primary_cat":"nlin.AO","submitted_at":"2006-09-15T20:08:23Z","title_canon_sha256":"73940fc016e73081855ca5fbd3704317c8c536b51d0ac06bf7046abfabf0b438"},"schema_version":"1.0","source":{"id":"nlin/0609042","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0609042","created_at":"2026-05-18T04:08:52Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0609042v2","created_at":"2026-05-18T04:08:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0609042","created_at":"2026-05-18T04:08:52Z"},{"alias_kind":"pith_short_12","alias_value":"R5RQ2CEQOWFZ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"R5RQ2CEQOWFZUVVM","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"R5RQ2CEQ","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:8d40efdc7e14cf7abe3934f99b764700b1340e9e1f03934a681b443cd4526102","target":"graph","created_at":"2026-05-18T04:08:52Z","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":"Generalized preferential attachment is defined as the tendency of a vertex to acquire new links in the future with respect to a particular vertex property. Understanding which properties influence link acquisition tendency (LAT) gives us a predictive power to estimate the future growth of network and insight about the actual dynamics governing the complex networks. In this study, we explore the effect of age and degree on LAT by analyzing data collected from a new complex-network growth dataset. We found that LAT and degree of a vertex are linearly correlated in accordance with previous studie","authors_text":"Amac Herdagdelen, Eser Aygun, Haluk Bingol","cross_cats":["cond-mat.stat-mech","cs.CY","physics.data-an"],"headline":"","license":"","primary_cat":"nlin.AO","submitted_at":"2006-09-15T20:08:23Z","title":"A Formal Treatment of Generalized Preferential Attachment and its Empirical Validation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0609042","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":"sha256:90aa7fedb45d2959d363400a913b230afe6b9b93342b0459428fad38a851b35e","target":"record","created_at":"2026-05-18T04:08:52Z","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":"9fe7d232ef07b82543b78d8ac332f47f3c27b881cbaf2d50d6c7ecd63f995bd6","cross_cats_sorted":["cond-mat.stat-mech","cs.CY","physics.data-an"],"license":"","primary_cat":"nlin.AO","submitted_at":"2006-09-15T20:08:23Z","title_canon_sha256":"73940fc016e73081855ca5fbd3704317c8c536b51d0ac06bf7046abfabf0b438"},"schema_version":"1.0","source":{"id":"nlin/0609042","kind":"arxiv","version":2}},"canonical_sha256":"8f630d0890758b9a56ac718994e1ff472180a80e239cf3eb014fa4f5c5574fdf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f630d0890758b9a56ac718994e1ff472180a80e239cf3eb014fa4f5c5574fdf","first_computed_at":"2026-05-18T04:08:52.784751Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:52.784751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4j28kunbfURZPjUSQo6VSaB5rInWNg0gyUT/hCVF59mImNNI3+QPA11hl58joMtHh0Ln6evO032yuE4O06eSAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:52.785214Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0609042","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90aa7fedb45d2959d363400a913b230afe6b9b93342b0459428fad38a851b35e","sha256:8d40efdc7e14cf7abe3934f99b764700b1340e9e1f03934a681b443cd4526102"],"state_sha256":"cbe3a22e899aa8c687f3c50272f15d7eb8d6649a2cf531886bf2341dbe7c4afa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UtPJY9Qc1um48NzfJeIDAfU+oPtVMsHQP2Q82PWvd2cLlLzInOxDthvmQ6gVG8lBIj/B2vEHgOsNxQwBBP5zAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T21:52:32.193336Z","bundle_sha256":"df9bbb96af6013c1a231ee041af8c10b33afe4af9932d1f4ee8cefe2d248a064"}}