{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:QGL5BR4CKTSOZ6EL2YHKH6FUJZ","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":"03c795d382b33afe181525303fc72f772158d311a9a0d8affa832ee7063464e1","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-23T07:33:27Z","title_canon_sha256":"b56cedeae73d7c2be83133d9746364d5c0168a59ecbe05733103d43155b59522"},"schema_version":"1.0","source":{"id":"2606.24948","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24948","created_at":"2026-06-25T00:17:46Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24948v1","created_at":"2026-06-25T00:17:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24948","created_at":"2026-06-25T00:17:46Z"},{"alias_kind":"pith_short_12","alias_value":"QGL5BR4CKTSO","created_at":"2026-06-25T00:17:46Z"},{"alias_kind":"pith_short_16","alias_value":"QGL5BR4CKTSOZ6EL","created_at":"2026-06-25T00:17:46Z"},{"alias_kind":"pith_short_8","alias_value":"QGL5BR4C","created_at":"2026-06-25T00:17:46Z"}],"graph_snapshots":[{"event_id":"sha256:3595bae4bbcc8a1fcb131a964a42d9842bf167a9ec9f90f276b95baffbeb7cdd","target":"graph","created_at":"2026-06-25T00:17:46Z","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/2606.24948/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Knowledge graph embedding (KGE) models predict single-hop links well but have no mechanism for zero-shot compositional queries: multi-hop questions whose relation chains never appeared during training. Holographic Reduced Representations (HRR), which bind and unbind symbols via circular convolution, are a theoretically attractive candidate, since binding is approximately invertible and associative. We test whether this promise holds.\n  We study two holographic memory variants, real-valued HRR and phase-only Fourier HRR (FHRR), each with a modern Hopfield cleanup, on FB15k-237 over five seeds. ","authors_text":"Randhir Kumar","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-23T07:33:27Z","title":"Holographic Memory for Zero-Shot Compositional Reasoning in Knowledge Graphs: A Mechanistic Study of Where and Why It Fails"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24948","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":"sha256:51985792d187ee1513772b7c7399431112eea0278f667a958d009a6518aa9e45","target":"record","created_at":"2026-06-25T00:17:46Z","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":"03c795d382b33afe181525303fc72f772158d311a9a0d8affa832ee7063464e1","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-23T07:33:27Z","title_canon_sha256":"b56cedeae73d7c2be83133d9746364d5c0168a59ecbe05733103d43155b59522"},"schema_version":"1.0","source":{"id":"2606.24948","kind":"arxiv","version":1}},"canonical_sha256":"8197d0c78254e4ecf88bd60ea3f8b44e57f77251aa9ecf93ef2aa9090459b6a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8197d0c78254e4ecf88bd60ea3f8b44e57f77251aa9ecf93ef2aa9090459b6a2","first_computed_at":"2026-06-25T00:17:46.632713Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-25T00:17:46.632713Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d6YVad7u6BYA4d9iKfFRRFh0rG0QOIv7pUCyYVJD0Y0sI1dSYbH8fuK6r4NK9CjhCZKMOKn4/ok0r8lgH3CaCQ==","signature_status":"signed_v1","signed_at":"2026-06-25T00:17:46.633053Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.24948","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51985792d187ee1513772b7c7399431112eea0278f667a958d009a6518aa9e45","sha256:3595bae4bbcc8a1fcb131a964a42d9842bf167a9ec9f90f276b95baffbeb7cdd"],"state_sha256":"e7a27cfc6353697126ce10a607c972cc720274920f7299710bf06b184574c25e"}