{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:ELW7EXGQJHW426L4I6DG5GN5NH","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":"b96076ae129b4a8935a7130adffc703c04f7381211705dff60d0fd21dcfcbe94","cross_cats_sorted":["cs.AR"],"license":"","primary_cat":"cs.NI","submitted_at":"2005-02-14T11:39:04Z","title_canon_sha256":"191381b15d646beb83a3c702e7adc1650c7a5bd5efc98c9dafceeaf354c138e3"},"schema_version":"1.0","source":{"id":"cs/0502061","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0502061","created_at":"2026-07-04T14:24:52Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0502061v1","created_at":"2026-07-04T14:24:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0502061","created_at":"2026-07-04T14:24:52Z"},{"alias_kind":"pith_short_12","alias_value":"ELW7EXGQJHW4","created_at":"2026-07-04T14:24:52Z"},{"alias_kind":"pith_short_16","alias_value":"ELW7EXGQJHW426L4","created_at":"2026-07-04T14:24:52Z"},{"alias_kind":"pith_short_8","alias_value":"ELW7EXGQ","created_at":"2026-07-04T14:24:52Z"}],"graph_snapshots":[{"event_id":"sha256:09b1e3037c9f563c8071c8f3d83177753a1a3aa899c49af68ee7167fa252a8d5","target":"graph","created_at":"2026-07-04T14:24:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cs/0502061/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The goal of this work is to model the peering arrangements between Autonomous Systems (ASes). Most existing models of the AS-graph assume an undirected graph. However, peering arrangements are mostly asymmetric Customer-Provider arrangements, which are better modeled as directed edges. Furthermore, it is well known that the AS-graph, and in particular its clustering structure, is influenced by geography.\n  We introduce a new model that describes the AS-graph as a directed graph, with an edge going from the customer to the provider, but also models symmetric peer-to-peer arrangements, and takes","authors_text":"Avishai Wool, Mira Gonen, Sagy Bar","cross_cats":["cs.AR"],"headline":"","license":"","primary_cat":"cs.NI","submitted_at":"2005-02-14T11:39:04Z","title":"A Geographic Directed Preferential Internet Topology Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0502061","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":"sha256:99caf21eb898e073cec602a73b6f55617446de5b46b67a8def853a509d84bbd1","target":"record","created_at":"2026-07-04T14:24:52Z","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":"b96076ae129b4a8935a7130adffc703c04f7381211705dff60d0fd21dcfcbe94","cross_cats_sorted":["cs.AR"],"license":"","primary_cat":"cs.NI","submitted_at":"2005-02-14T11:39:04Z","title_canon_sha256":"191381b15d646beb83a3c702e7adc1650c7a5bd5efc98c9dafceeaf354c138e3"},"schema_version":"1.0","source":{"id":"cs/0502061","kind":"arxiv","version":1}},"canonical_sha256":"22edf25cd049edcd797c47866e99bd69c2e6766b3bdc7d33638c2d811279a766","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22edf25cd049edcd797c47866e99bd69c2e6766b3bdc7d33638c2d811279a766","first_computed_at":"2026-07-04T14:24:52.710567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:24:52.710567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WW/6/FkQ30fB7ynYknkXychkggLnA1v41sptUjVqrrZa5EpEvpxx6DbXyPQW7nWwQWO8X7zuspl9lVEGpgImBA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:24:52.711091Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0502061","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99caf21eb898e073cec602a73b6f55617446de5b46b67a8def853a509d84bbd1","sha256:09b1e3037c9f563c8071c8f3d83177753a1a3aa899c49af68ee7167fa252a8d5"],"state_sha256":"7340b33623455f7c3ee220cfec1bd86eecffe8599edede5ace14c15ad2ba1ef1"}