{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:CXUQN342DX7DKQ7YM763Q5TNHA","short_pith_number":"pith:CXUQN342","canonical_record":{"source":{"id":"2508.06588","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-08T06:33:45Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"0cbae2b174082e1fc7bd4f7025b8dd44eb73f3e43bc7bae6ad79ef89aa307a63","abstract_canon_sha256":"7fbca3ed5efa5720ab98ce5c9056af041f2ac7b2eb879d3fd7fa28dc21455b08"},"schema_version":"1.0"},"canonical_sha256":"15e906ef9a1dfe3543f867fdb8766d382fa10c4d2ac45042ec3be1e1d9fa74a7","source":{"kind":"arxiv","id":"2508.06588","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.06588","created_at":"2026-06-02T02:04:07Z"},{"alias_kind":"arxiv_version","alias_value":"2508.06588v3","created_at":"2026-06-02T02:04:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.06588","created_at":"2026-06-02T02:04:07Z"},{"alias_kind":"pith_short_12","alias_value":"CXUQN342DX7D","created_at":"2026-06-02T02:04:07Z"},{"alias_kind":"pith_short_16","alias_value":"CXUQN342DX7DKQ7Y","created_at":"2026-06-02T02:04:07Z"},{"alias_kind":"pith_short_8","alias_value":"CXUQN342","created_at":"2026-06-02T02:04:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:CXUQN342DX7DKQ7YM763Q5TNHA","target":"record","payload":{"canonical_record":{"source":{"id":"2508.06588","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-08T06:33:45Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"0cbae2b174082e1fc7bd4f7025b8dd44eb73f3e43bc7bae6ad79ef89aa307a63","abstract_canon_sha256":"7fbca3ed5efa5720ab98ce5c9056af041f2ac7b2eb879d3fd7fa28dc21455b08"},"schema_version":"1.0"},"canonical_sha256":"15e906ef9a1dfe3543f867fdb8766d382fa10c4d2ac45042ec3be1e1d9fa74a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T02:04:07.669929Z","signature_b64":"q6SM0iDeOTdlt6szsq1vRJlIFw3WRZOvjKZ7I34iImH/ml9k093x85xXJuNUnVXZ5KsoP3zqK0KHReq8XHqJDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15e906ef9a1dfe3543f867fdb8766d382fa10c4d2ac45042ec3be1e1d9fa74a7","last_reissued_at":"2026-06-02T02:04:07.669387Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T02:04:07.669387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.06588","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-02T02:04:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YP6lrgiW4amikPAjjKtIbvGJUDPazIrQjdVxupHjBIwE2mHxgjwL3PX0ZewUVLdA3W6FWOQplk5Kg009YAbXCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T11:29:17.104368Z"},"content_sha256":"1a00bcf903873ae85822f2441af9641a64a70c0d36798a981e9c8849776eedcb","schema_version":"1.0","event_id":"sha256:1a00bcf903873ae85822f2441af9641a64a70c0d36798a981e9c8849776eedcb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:CXUQN342DX7DKQ7YM763Q5TNHA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Graph is a Natural Regularization: Revisiting Vector Quantization for Graph Representation Learning","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Fan Li, Wenjie Zhang, Xiaoyang Wang, Xingyu Tan, Zian Zhai","submitted_at":"2025-08-08T06:33:45Z","abstract_excerpt":"Vector Quantization (VQ) has recently emerged as a promising approach for learning compressed and discrete representations for graph-structured data. However, a fundamental challenge, i.e., codebook collapse, remains underexplored in the graph domain, significantly limiting the expressiveness and generalization of graph tokens.In this paper, we present an empirical study and observe that codebook collapse consistently occurs when training VQ jointly with Graph Neural Networks under graph reconstruction tasks, even with mitigation strategies proposed in vision or language domains. Moreover, we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.06588","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2508.06588/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":"2026-06-02T02:04:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+RrG76jFIxB4z6SXVIUyukyiwDu8OhdTfUAkU858nnbM9rLlqnBkdhg31RZWoKNs/oI6exzp3A32ll78phV0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T11:29:17.105090Z"},"content_sha256":"a93f6d348f38937a5e5852abe8687592f34ade39889dc819cf52940bca214c88","schema_version":"1.0","event_id":"sha256:a93f6d348f38937a5e5852abe8687592f34ade39889dc819cf52940bca214c88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CXUQN342DX7DKQ7YM763Q5TNHA/bundle.json","state_url":"https://pith.science/pith/CXUQN342DX7DKQ7YM763Q5TNHA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CXUQN342DX7DKQ7YM763Q5TNHA/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":"2026-06-10T11:29:17Z","links":{"resolver":"https://pith.science/pith/CXUQN342DX7DKQ7YM763Q5TNHA","bundle":"https://pith.science/pith/CXUQN342DX7DKQ7YM763Q5TNHA/bundle.json","state":"https://pith.science/pith/CXUQN342DX7DKQ7YM763Q5TNHA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CXUQN342DX7DKQ7YM763Q5TNHA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:CXUQN342DX7DKQ7YM763Q5TNHA","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":"7fbca3ed5efa5720ab98ce5c9056af041f2ac7b2eb879d3fd7fa28dc21455b08","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-08T06:33:45Z","title_canon_sha256":"0cbae2b174082e1fc7bd4f7025b8dd44eb73f3e43bc7bae6ad79ef89aa307a63"},"schema_version":"1.0","source":{"id":"2508.06588","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.06588","created_at":"2026-06-02T02:04:07Z"},{"alias_kind":"arxiv_version","alias_value":"2508.06588v3","created_at":"2026-06-02T02:04:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.06588","created_at":"2026-06-02T02:04:07Z"},{"alias_kind":"pith_short_12","alias_value":"CXUQN342DX7D","created_at":"2026-06-02T02:04:07Z"},{"alias_kind":"pith_short_16","alias_value":"CXUQN342DX7DKQ7Y","created_at":"2026-06-02T02:04:07Z"},{"alias_kind":"pith_short_8","alias_value":"CXUQN342","created_at":"2026-06-02T02:04:07Z"}],"graph_snapshots":[{"event_id":"sha256:a93f6d348f38937a5e5852abe8687592f34ade39889dc819cf52940bca214c88","target":"graph","created_at":"2026-06-02T02:04:07Z","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/2508.06588/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Vector Quantization (VQ) has recently emerged as a promising approach for learning compressed and discrete representations for graph-structured data. However, a fundamental challenge, i.e., codebook collapse, remains underexplored in the graph domain, significantly limiting the expressiveness and generalization of graph tokens.In this paper, we present an empirical study and observe that codebook collapse consistently occurs when training VQ jointly with Graph Neural Networks under graph reconstruction tasks, even with mitigation strategies proposed in vision or language domains. Moreover, we ","authors_text":"Fan Li, Wenjie Zhang, Xiaoyang Wang, Xingyu Tan, Zian Zhai","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-08T06:33:45Z","title":"Graph is a Natural Regularization: Revisiting Vector Quantization for Graph Representation Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.06588","kind":"arxiv","version":3},"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":"sha256:1a00bcf903873ae85822f2441af9641a64a70c0d36798a981e9c8849776eedcb","target":"record","created_at":"2026-06-02T02:04:07Z","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":"7fbca3ed5efa5720ab98ce5c9056af041f2ac7b2eb879d3fd7fa28dc21455b08","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-08T06:33:45Z","title_canon_sha256":"0cbae2b174082e1fc7bd4f7025b8dd44eb73f3e43bc7bae6ad79ef89aa307a63"},"schema_version":"1.0","source":{"id":"2508.06588","kind":"arxiv","version":3}},"canonical_sha256":"15e906ef9a1dfe3543f867fdb8766d382fa10c4d2ac45042ec3be1e1d9fa74a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15e906ef9a1dfe3543f867fdb8766d382fa10c4d2ac45042ec3be1e1d9fa74a7","first_computed_at":"2026-06-02T02:04:07.669387Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T02:04:07.669387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q6SM0iDeOTdlt6szsq1vRJlIFw3WRZOvjKZ7I34iImH/ml9k093x85xXJuNUnVXZ5KsoP3zqK0KHReq8XHqJDw==","signature_status":"signed_v1","signed_at":"2026-06-02T02:04:07.669929Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.06588","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a00bcf903873ae85822f2441af9641a64a70c0d36798a981e9c8849776eedcb","sha256:a93f6d348f38937a5e5852abe8687592f34ade39889dc819cf52940bca214c88"],"state_sha256":"610308ef0b5f71a26cd09316283aac472a948f6852417808931d8f3bd62ed351"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a3bupsZA47LbwIw9D7wPQAJbHZXCGLD/X6B/aYBV+D0ZMf8tKF2wB/4MgaCzhbMqJpTD1KjgtNi1uYMyjDVGCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T11:29:17.109448Z","bundle_sha256":"bb3f0252b7ca903d3aa3c70001423ff127fdd612cc41440b98e1aaa322342162"}}