{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:46QYKHTDV5LSCVQSGGX5LXI3WW","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":"78cd36983037c2c22aad847222f23725b4596bdfd5a6daa87a7fc00befbd8788","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-11T01:59:00Z","title_canon_sha256":"5771693031ad0838c2f2bc65d5d419e78945b5d1c0be06deb8abdf7133e0d06e"},"schema_version":"1.0","source":{"id":"2607.10074","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.10074","created_at":"2026-07-14T00:18:50Z"},{"alias_kind":"arxiv_version","alias_value":"2607.10074v1","created_at":"2026-07-14T00:18:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.10074","created_at":"2026-07-14T00:18:50Z"},{"alias_kind":"pith_short_12","alias_value":"46QYKHTDV5LS","created_at":"2026-07-14T00:18:50Z"},{"alias_kind":"pith_short_16","alias_value":"46QYKHTDV5LSCVQS","created_at":"2026-07-14T00:18:50Z"},{"alias_kind":"pith_short_8","alias_value":"46QYKHTD","created_at":"2026-07-14T00:18:50Z"}],"graph_snapshots":[{"event_id":"sha256:a319cd551593a4b76301858da4ca098e120ca5df9b847a7f5c0183185fbfa315","target":"graph","created_at":"2026-07-14T00:18:50Z","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/2607.10074/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Graph machine learning provides powerful tools for understanding complex networks and learning meaningful node representations. A central challenge, however, is designing embeddings with minimal distortion of both local and global functionals, such as shortest path lengths. Prior distortion guarantees for distance-preserving embeddings are worst-case in nature, producing overly pessimistic bounds that fail to capture the structure of typical large-scale networks. To address this, we analyze shortest-path approximation via landmark-based embeddings on inhomogeneous random graphs, a general mode","authors_text":"Luana Ruiz, My Le, Souvik Dhara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-11T01:59:00Z","title":"Distance-Preserving Embeddings in Inhomogeneous Random Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.10074","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":"sha256:0ef0bbab1f62ffa6d9b1d03d452476d43e5259b80ae8471e233d9e612da877aa","target":"record","created_at":"2026-07-14T00:18:50Z","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":"78cd36983037c2c22aad847222f23725b4596bdfd5a6daa87a7fc00befbd8788","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-11T01:59:00Z","title_canon_sha256":"5771693031ad0838c2f2bc65d5d419e78945b5d1c0be06deb8abdf7133e0d06e"},"schema_version":"1.0","source":{"id":"2607.10074","kind":"arxiv","version":1}},"canonical_sha256":"e7a1851e63af5721561231afd5dd1bb5b0fa61a4d8476db750e5ec3b48d23808","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7a1851e63af5721561231afd5dd1bb5b0fa61a4d8476db750e5ec3b48d23808","first_computed_at":"2026-07-14T00:18:50.506850Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T00:18:50.506850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nG6l/MLSTfvUl5JhNZkjdxK5Gg8MOzsrH5MhXFTLgzSv/VOfrJsyUGwWPpOVi8iPUKSlBAWyJbrws5NG6k1vAQ==","signature_status":"signed_v1","signed_at":"2026-07-14T00:18:50.507631Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.10074","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ef0bbab1f62ffa6d9b1d03d452476d43e5259b80ae8471e233d9e612da877aa","sha256:a319cd551593a4b76301858da4ca098e120ca5df9b847a7f5c0183185fbfa315"],"state_sha256":"671dbf538bd5369d1620abe662f368b9fe67938f1f66cd90dad0bdd1e145282e"}