{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:U7WNXLQLPYHXANB4QEXT2HIOMY","short_pith_number":"pith:U7WNXLQL","canonical_record":{"source":{"id":"2203.06007","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-03-11T15:26:33Z","cross_cats_sorted":["cs.MA"],"title_canon_sha256":"8da117650a89375e35ca9aaf9ad8a0319572c1a8fa67e624e6670ac996b0b4fb","abstract_canon_sha256":"c02a828bfcd107e2e3cedcc8cd4072188bef271b63bc9e19e7454ee2f615f1dc"},"schema_version":"1.0"},"canonical_sha256":"a7ecdbae0b7e0f70343c812f3d1d0e66122ff62124539d3cee6e64cfe79486b4","source":{"kind":"arxiv","id":"2203.06007","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.06007","created_at":"2026-07-05T05:50:39Z"},{"alias_kind":"arxiv_version","alias_value":"2203.06007v1","created_at":"2026-07-05T05:50:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.06007","created_at":"2026-07-05T05:50:39Z"},{"alias_kind":"pith_short_12","alias_value":"U7WNXLQLPYHX","created_at":"2026-07-05T05:50:39Z"},{"alias_kind":"pith_short_16","alias_value":"U7WNXLQLPYHXANB4","created_at":"2026-07-05T05:50:39Z"},{"alias_kind":"pith_short_8","alias_value":"U7WNXLQL","created_at":"2026-07-05T05:50:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:U7WNXLQLPYHXANB4QEXT2HIOMY","target":"record","payload":{"canonical_record":{"source":{"id":"2203.06007","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-03-11T15:26:33Z","cross_cats_sorted":["cs.MA"],"title_canon_sha256":"8da117650a89375e35ca9aaf9ad8a0319572c1a8fa67e624e6670ac996b0b4fb","abstract_canon_sha256":"c02a828bfcd107e2e3cedcc8cd4072188bef271b63bc9e19e7454ee2f615f1dc"},"schema_version":"1.0"},"canonical_sha256":"a7ecdbae0b7e0f70343c812f3d1d0e66122ff62124539d3cee6e64cfe79486b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:50:39.287605Z","signature_b64":"LqGcLH3SRBkOY1OzCwOj6Dc9/WfCCduvMFoLUcYZMBPmqNDnihCBtb1XTpI/APIgAW71TiEY7aoy9b4wr/THAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7ecdbae0b7e0f70343c812f3d1d0e66122ff62124539d3cee6e64cfe79486b4","last_reissued_at":"2026-07-05T05:50:39.287171Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:50:39.287171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2203.06007","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":"2026-07-05T05:50:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uuor5zbeFiijz9yOPCab9zYfY1X5L9Sg0u4/4GmrnueThcG0I5jJvrb+NVADIau9arthRfZiqxVp+TiSs/6gCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T08:07:54.265482Z"},"content_sha256":"1876b69c6662d3d651dad433bfe3264721e7543a854c95b6cb4dbc7104c628bb","schema_version":"1.0","event_id":"sha256:1876b69c6662d3d651dad433bfe3264721e7543a854c95b6cb4dbc7104c628bb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:U7WNXLQLPYHXANB4QEXT2HIOMY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Online Graph Learning from Social Interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.MA"],"primary_cat":"eess.SP","authors_text":"Ali H. Sayed, Konstantinos Ntemos, Stefan Vlaski, Valentina Shumovskaia","submitted_at":"2022-03-11T15:26:33Z","abstract_excerpt":"Social learning algorithms provide models for the formation of opinions over social networks resulting from local reasoning and peer-to-peer exchanges. Interactions occur over an underlying graph topology, which describes the flow of information and relative influence between pairs of agents. For a given graph topology, these algorithms allow for the prediction of formed opinions. In this work, we study the inverse problem. Given a social learning model and observations of the evolution of beliefs over time, we aim at identifying the underlying graph topology. The learned graph allows for the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.06007","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2203.06007/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:50:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ownWqVyCVsNvllBTOiU/tybbFjtmK6hoRPF1iPvMq/zxiC6FrZSpmog2l4zHOY7kVp0YUlcNSDwk+k8cfH+iDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T08:07:54.266375Z"},"content_sha256":"8a69e15b6de8acfb669dd9f0a19d1a83f3d32673d44fe42d59f0c6a4c9d02eae","schema_version":"1.0","event_id":"sha256:8a69e15b6de8acfb669dd9f0a19d1a83f3d32673d44fe42d59f0c6a4c9d02eae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U7WNXLQLPYHXANB4QEXT2HIOMY/bundle.json","state_url":"https://pith.science/pith/U7WNXLQLPYHXANB4QEXT2HIOMY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U7WNXLQLPYHXANB4QEXT2HIOMY/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":"2026-08-07T08:07:54Z","links":{"resolver":"https://pith.science/pith/U7WNXLQLPYHXANB4QEXT2HIOMY","bundle":"https://pith.science/pith/U7WNXLQLPYHXANB4QEXT2HIOMY/bundle.json","state":"https://pith.science/pith/U7WNXLQLPYHXANB4QEXT2HIOMY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U7WNXLQLPYHXANB4QEXT2HIOMY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:U7WNXLQLPYHXANB4QEXT2HIOMY","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":"c02a828bfcd107e2e3cedcc8cd4072188bef271b63bc9e19e7454ee2f615f1dc","cross_cats_sorted":["cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-03-11T15:26:33Z","title_canon_sha256":"8da117650a89375e35ca9aaf9ad8a0319572c1a8fa67e624e6670ac996b0b4fb"},"schema_version":"1.0","source":{"id":"2203.06007","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.06007","created_at":"2026-07-05T05:50:39Z"},{"alias_kind":"arxiv_version","alias_value":"2203.06007v1","created_at":"2026-07-05T05:50:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.06007","created_at":"2026-07-05T05:50:39Z"},{"alias_kind":"pith_short_12","alias_value":"U7WNXLQLPYHX","created_at":"2026-07-05T05:50:39Z"},{"alias_kind":"pith_short_16","alias_value":"U7WNXLQLPYHXANB4","created_at":"2026-07-05T05:50:39Z"},{"alias_kind":"pith_short_8","alias_value":"U7WNXLQL","created_at":"2026-07-05T05:50:39Z"}],"graph_snapshots":[{"event_id":"sha256:8a69e15b6de8acfb669dd9f0a19d1a83f3d32673d44fe42d59f0c6a4c9d02eae","target":"graph","created_at":"2026-07-05T05:50:39Z","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/2203.06007/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Social learning algorithms provide models for the formation of opinions over social networks resulting from local reasoning and peer-to-peer exchanges. Interactions occur over an underlying graph topology, which describes the flow of information and relative influence between pairs of agents. For a given graph topology, these algorithms allow for the prediction of formed opinions. In this work, we study the inverse problem. Given a social learning model and observations of the evolution of beliefs over time, we aim at identifying the underlying graph topology. The learned graph allows for the ","authors_text":"Ali H. Sayed, Konstantinos Ntemos, Stefan Vlaski, Valentina Shumovskaia","cross_cats":["cs.MA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-03-11T15:26:33Z","title":"Online Graph Learning from Social Interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.06007","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":"sha256:1876b69c6662d3d651dad433bfe3264721e7543a854c95b6cb4dbc7104c628bb","target":"record","created_at":"2026-07-05T05:50:39Z","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":"c02a828bfcd107e2e3cedcc8cd4072188bef271b63bc9e19e7454ee2f615f1dc","cross_cats_sorted":["cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-03-11T15:26:33Z","title_canon_sha256":"8da117650a89375e35ca9aaf9ad8a0319572c1a8fa67e624e6670ac996b0b4fb"},"schema_version":"1.0","source":{"id":"2203.06007","kind":"arxiv","version":1}},"canonical_sha256":"a7ecdbae0b7e0f70343c812f3d1d0e66122ff62124539d3cee6e64cfe79486b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7ecdbae0b7e0f70343c812f3d1d0e66122ff62124539d3cee6e64cfe79486b4","first_computed_at":"2026-07-05T05:50:39.287171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:50:39.287171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LqGcLH3SRBkOY1OzCwOj6Dc9/WfCCduvMFoLUcYZMBPmqNDnihCBtb1XTpI/APIgAW71TiEY7aoy9b4wr/THAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:50:39.287605Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.06007","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1876b69c6662d3d651dad433bfe3264721e7543a854c95b6cb4dbc7104c628bb","sha256:8a69e15b6de8acfb669dd9f0a19d1a83f3d32673d44fe42d59f0c6a4c9d02eae"],"state_sha256":"382e678ee605c865715b829a3e021bfab3155949db9370256b62f6e9cfb6eb06"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bs77hEpSAGAUxjVKZcr4nIquJRsOGU7lxtGQUmYjJTurgalEXRpC7gtKnm3vHYLyFcutAQIE/YfdhtSwkP4gCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T08:07:54.273089Z","bundle_sha256":"afb224b53380b6efa988edf8060933c2464f1a4d0a1ac6a974fb4bbb6baad6f9"}}