{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:JYTJN2HHRKVBIKR7GLGLC6FTDY","short_pith_number":"pith:JYTJN2HH","canonical_record":{"source":{"id":"2211.06513","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-11-11T23:44:20Z","cross_cats_sorted":[],"title_canon_sha256":"39155a411ecd672c40695f9c0421818b662d05e0b3bd814dbd94897a004db352","abstract_canon_sha256":"87fc661d363544ab2b7371b460a9691a03cdf7c0239ad15374daff8fa3583f9d"},"schema_version":"1.0"},"canonical_sha256":"4e2696e8e78aaa142a3f32ccb178b31e3103c2ac947b2f087ad06fc60bf9e4c4","source":{"kind":"arxiv","id":"2211.06513","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.06513","created_at":"2026-07-05T05:24:45Z"},{"alias_kind":"arxiv_version","alias_value":"2211.06513v2","created_at":"2026-07-05T05:24:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.06513","created_at":"2026-07-05T05:24:45Z"},{"alias_kind":"pith_short_12","alias_value":"JYTJN2HHRKVB","created_at":"2026-07-05T05:24:45Z"},{"alias_kind":"pith_short_16","alias_value":"JYTJN2HHRKVBIKR7","created_at":"2026-07-05T05:24:45Z"},{"alias_kind":"pith_short_8","alias_value":"JYTJN2HH","created_at":"2026-07-05T05:24:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:JYTJN2HHRKVBIKR7GLGLC6FTDY","target":"record","payload":{"canonical_record":{"source":{"id":"2211.06513","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-11-11T23:44:20Z","cross_cats_sorted":[],"title_canon_sha256":"39155a411ecd672c40695f9c0421818b662d05e0b3bd814dbd94897a004db352","abstract_canon_sha256":"87fc661d363544ab2b7371b460a9691a03cdf7c0239ad15374daff8fa3583f9d"},"schema_version":"1.0"},"canonical_sha256":"4e2696e8e78aaa142a3f32ccb178b31e3103c2ac947b2f087ad06fc60bf9e4c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:24:45.087653Z","signature_b64":"tuDBvrpY3H6PPiR+PTNotYq2asjRoMfLOPXph8BVBNUijjGh3p9Fw4iV5QChc9UH+J05puQWLe8OWctt/rD8Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e2696e8e78aaa142a3f32ccb178b31e3103c2ac947b2f087ad06fc60bf9e4c4","last_reissued_at":"2026-07-05T05:24:45.087204Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:24:45.087204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2211.06513","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":"2026-07-05T05:24:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mGrzjCCJC4VHfPwOSi0CrjnqizOyqVT6rEuVgeOW5dGGMFE4QV4AJSBbAb3nHCKFYRFABRQn0KcEv9oi7WMFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T07:47:37.615631Z"},"content_sha256":"6187f61759b75d944fb69969f21e5c7f8f064a7bf5a9d0b80d751fad0318919f","schema_version":"1.0","event_id":"sha256:6187f61759b75d944fb69969f21e5c7f8f064a7bf5a9d0b80d751fad0318919f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:JYTJN2HHRKVBIKR7GLGLC6FTDY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stable and Transferable Hyper-Graph Neural Networks","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Alejandro Ribeiro, Hans Riess, Mikhail Hayhoe, Victor M. Preciado","submitted_at":"2022-11-11T23:44:20Z","abstract_excerpt":"We introduce an architecture for processing signals supported on hypergraphs via graph neural networks (GNNs), which we call a Hyper-graph Expansion Neural Network (HENN), and provide the first bounds on the stability and transferability error of a hypergraph signal processing model. To do so, we provide a framework for bounding the stability and transferability error of GNNs across arbitrary graphs via spectral similarity. By bounding the difference between two graph shift operators (GSOs) in the positive semi-definite sense via their eigenvalue spectrum, we show that this error depends only "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.06513","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2211.06513/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":"2026-07-05T05:24:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i1eo7hvDJoGlI3mROER+lBC5ah8+yYC0m2xlKVTlIM4JFBPHfOL0s1Rb8FZ/EWicux3DGUEA4UZGkWdBk/ymDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T07:47:37.616299Z"},"content_sha256":"a7396b42e2aba01eeb8e27068e7f6edd6685c24987ec94a5c982810cb88997c4","schema_version":"1.0","event_id":"sha256:a7396b42e2aba01eeb8e27068e7f6edd6685c24987ec94a5c982810cb88997c4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JYTJN2HHRKVBIKR7GLGLC6FTDY/bundle.json","state_url":"https://pith.science/pith/JYTJN2HHRKVBIKR7GLGLC6FTDY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JYTJN2HHRKVBIKR7GLGLC6FTDY/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":"2026-07-08T07:47:37Z","links":{"resolver":"https://pith.science/pith/JYTJN2HHRKVBIKR7GLGLC6FTDY","bundle":"https://pith.science/pith/JYTJN2HHRKVBIKR7GLGLC6FTDY/bundle.json","state":"https://pith.science/pith/JYTJN2HHRKVBIKR7GLGLC6FTDY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JYTJN2HHRKVBIKR7GLGLC6FTDY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:JYTJN2HHRKVBIKR7GLGLC6FTDY","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":"87fc661d363544ab2b7371b460a9691a03cdf7c0239ad15374daff8fa3583f9d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-11-11T23:44:20Z","title_canon_sha256":"39155a411ecd672c40695f9c0421818b662d05e0b3bd814dbd94897a004db352"},"schema_version":"1.0","source":{"id":"2211.06513","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.06513","created_at":"2026-07-05T05:24:45Z"},{"alias_kind":"arxiv_version","alias_value":"2211.06513v2","created_at":"2026-07-05T05:24:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.06513","created_at":"2026-07-05T05:24:45Z"},{"alias_kind":"pith_short_12","alias_value":"JYTJN2HHRKVB","created_at":"2026-07-05T05:24:45Z"},{"alias_kind":"pith_short_16","alias_value":"JYTJN2HHRKVBIKR7","created_at":"2026-07-05T05:24:45Z"},{"alias_kind":"pith_short_8","alias_value":"JYTJN2HH","created_at":"2026-07-05T05:24:45Z"}],"graph_snapshots":[{"event_id":"sha256:a7396b42e2aba01eeb8e27068e7f6edd6685c24987ec94a5c982810cb88997c4","target":"graph","created_at":"2026-07-05T05:24:45Z","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/2211.06513/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce an architecture for processing signals supported on hypergraphs via graph neural networks (GNNs), which we call a Hyper-graph Expansion Neural Network (HENN), and provide the first bounds on the stability and transferability error of a hypergraph signal processing model. To do so, we provide a framework for bounding the stability and transferability error of GNNs across arbitrary graphs via spectral similarity. By bounding the difference between two graph shift operators (GSOs) in the positive semi-definite sense via their eigenvalue spectrum, we show that this error depends only ","authors_text":"Alejandro Ribeiro, Hans Riess, Mikhail Hayhoe, Victor M. Preciado","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-11-11T23:44:20Z","title":"Stable and Transferable Hyper-Graph Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.06513","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":"sha256:6187f61759b75d944fb69969f21e5c7f8f064a7bf5a9d0b80d751fad0318919f","target":"record","created_at":"2026-07-05T05:24:45Z","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":"87fc661d363544ab2b7371b460a9691a03cdf7c0239ad15374daff8fa3583f9d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-11-11T23:44:20Z","title_canon_sha256":"39155a411ecd672c40695f9c0421818b662d05e0b3bd814dbd94897a004db352"},"schema_version":"1.0","source":{"id":"2211.06513","kind":"arxiv","version":2}},"canonical_sha256":"4e2696e8e78aaa142a3f32ccb178b31e3103c2ac947b2f087ad06fc60bf9e4c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e2696e8e78aaa142a3f32ccb178b31e3103c2ac947b2f087ad06fc60bf9e4c4","first_computed_at":"2026-07-05T05:24:45.087204Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:24:45.087204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tuDBvrpY3H6PPiR+PTNotYq2asjRoMfLOPXph8BVBNUijjGh3p9Fw4iV5QChc9UH+J05puQWLe8OWctt/rD8Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:24:45.087653Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.06513","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6187f61759b75d944fb69969f21e5c7f8f064a7bf5a9d0b80d751fad0318919f","sha256:a7396b42e2aba01eeb8e27068e7f6edd6685c24987ec94a5c982810cb88997c4"],"state_sha256":"b9f0496a0ab841650f2c0cec5b63d837e5f4314b44607eec3d7739ea78881e01"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YsT+JgDpC3Tx94a9sJ8KvEvZ98AhDNOh8/VUiLCnay2ejaKXHj5OfPURCApqb+T5INPaWrLCkpfbRNlY5h2QCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-08T07:47:37.619752Z","bundle_sha256":"af5eeffa82e588ee0b86d49a93a4cee678a43ffcfad77beb181a66c466c662e3"}}