{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:J4RYUYAHQHRYM6J26Y2YRKAX7H","short_pith_number":"pith:J4RYUYAH","schema_version":"1.0","canonical_sha256":"4f238a600781e386793af63588a817f9d62794437a6d376edf01ce7bc849dd88","source":{"kind":"arxiv","id":"1703.05475","version":3},"attestation_state":"computed","paper":{"title":"A quest to unravel the metric structure behind perturbed networks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"David Sivakoff, Minghao Tian, Srinivasan Parthasarathy, Yusu Wang","submitted_at":"2017-03-16T05:43:44Z","abstract_excerpt":"Graphs and network data are ubiquitous across a wide spectrum of scientific and application domains. Often in practice, an input graph can be considered as an observed snapshot of a (potentially continuous) hidden domain or process. Subsequent analysis, processing, and inferences are then performed on this observed graph. In this paper we advocate the perspective that an observed graph is often a noisy version of some discretized 1-skeleton of a hidden domain, and specifically we will consider the following natural network model: We assume that there is a true graph ${G^*}$ which is a certain "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1703.05475","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2017-03-16T05:43:44Z","cross_cats_sorted":[],"title_canon_sha256":"401269fbc94cbe622179a35621d73cb22e8ef2eb20828c3ceaf871ec0ed681de","abstract_canon_sha256":"44ec5817c64fc208fee5d66c7e7d11307bdb91ab2712b657010ff42d00e7ac0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:39.879829Z","signature_b64":"J7iy7I4lfbjCIKvTMOsPj8W4ixMKBSbo1Yf2p0MSxnBhtYe8FGqFS8vddqJ7SAsE34Nj0Mt69jN0Rn68dNFmBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f238a600781e386793af63588a817f9d62794437a6d376edf01ce7bc849dd88","last_reissued_at":"2026-05-18T00:02:39.879146Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:39.879146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A quest to unravel the metric structure behind perturbed networks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"David Sivakoff, Minghao Tian, Srinivasan Parthasarathy, Yusu Wang","submitted_at":"2017-03-16T05:43:44Z","abstract_excerpt":"Graphs and network data are ubiquitous across a wide spectrum of scientific and application domains. Often in practice, an input graph can be considered as an observed snapshot of a (potentially continuous) hidden domain or process. Subsequent analysis, processing, and inferences are then performed on this observed graph. In this paper we advocate the perspective that an observed graph is often a noisy version of some discretized 1-skeleton of a hidden domain, and specifically we will consider the following natural network model: We assume that there is a true graph ${G^*}$ which is a certain "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05475","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1703.05475","created_at":"2026-05-18T00:02:39.879236+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.05475v3","created_at":"2026-05-18T00:02:39.879236+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.05475","created_at":"2026-05-18T00:02:39.879236+00:00"},{"alias_kind":"pith_short_12","alias_value":"J4RYUYAHQHRY","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"J4RYUYAHQHRYM6J2","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"J4RYUYAH","created_at":"2026-05-18T12:31:21.493067+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/J4RYUYAHQHRYM6J26Y2YRKAX7H","json":"https://pith.science/pith/J4RYUYAHQHRYM6J26Y2YRKAX7H.json","graph_json":"https://pith.science/api/pith-number/J4RYUYAHQHRYM6J26Y2YRKAX7H/graph.json","events_json":"https://pith.science/api/pith-number/J4RYUYAHQHRYM6J26Y2YRKAX7H/events.json","paper":"https://pith.science/paper/J4RYUYAH"},"agent_actions":{"view_html":"https://pith.science/pith/J4RYUYAHQHRYM6J26Y2YRKAX7H","download_json":"https://pith.science/pith/J4RYUYAHQHRYM6J26Y2YRKAX7H.json","view_paper":"https://pith.science/paper/J4RYUYAH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.05475&json=true","fetch_graph":"https://pith.science/api/pith-number/J4RYUYAHQHRYM6J26Y2YRKAX7H/graph.json","fetch_events":"https://pith.science/api/pith-number/J4RYUYAHQHRYM6J26Y2YRKAX7H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J4RYUYAHQHRYM6J26Y2YRKAX7H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J4RYUYAHQHRYM6J26Y2YRKAX7H/action/storage_attestation","attest_author":"https://pith.science/pith/J4RYUYAHQHRYM6J26Y2YRKAX7H/action/author_attestation","sign_citation":"https://pith.science/pith/J4RYUYAHQHRYM6J26Y2YRKAX7H/action/citation_signature","submit_replication":"https://pith.science/pith/J4RYUYAHQHRYM6J26Y2YRKAX7H/action/replication_record"}},"created_at":"2026-05-18T00:02:39.879236+00:00","updated_at":"2026-05-18T00:02:39.879236+00:00"}