{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:DK72BGAA3LX4WFKBEY2MX2FVX5","short_pith_number":"pith:DK72BGAA","canonical_record":{"source":{"id":"2411.14314","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CC","submitted_at":"2024-11-21T17:06:53Z","cross_cats_sorted":[],"title_canon_sha256":"990b964f4d1f42edfd03400c4968c14859886fb3ba1e2c6ea70e9d1c7d45ac3c","abstract_canon_sha256":"1db7167dddec9125326b30b062720bb8e4c35e96a187dba4ae4df4fe628bfae8"},"schema_version":"1.0"},"canonical_sha256":"1abfa09800daefcb15412634cbe8b5bf56c0b4a1a58023dfcb5672112f0f5199","source":{"kind":"arxiv","id":"2411.14314","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.14314","created_at":"2026-07-05T09:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"2411.14314v1","created_at":"2026-07-05T09:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14314","created_at":"2026-07-05T09:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"DK72BGAA3LX4","created_at":"2026-07-05T09:38:45Z"},{"alias_kind":"pith_short_16","alias_value":"DK72BGAA3LX4WFKB","created_at":"2026-07-05T09:38:45Z"},{"alias_kind":"pith_short_8","alias_value":"DK72BGAA","created_at":"2026-07-05T09:38:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:DK72BGAA3LX4WFKBEY2MX2FVX5","target":"record","payload":{"canonical_record":{"source":{"id":"2411.14314","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CC","submitted_at":"2024-11-21T17:06:53Z","cross_cats_sorted":[],"title_canon_sha256":"990b964f4d1f42edfd03400c4968c14859886fb3ba1e2c6ea70e9d1c7d45ac3c","abstract_canon_sha256":"1db7167dddec9125326b30b062720bb8e4c35e96a187dba4ae4df4fe628bfae8"},"schema_version":"1.0"},"canonical_sha256":"1abfa09800daefcb15412634cbe8b5bf56c0b4a1a58023dfcb5672112f0f5199","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:38:45.132270Z","signature_b64":"3GTvGjR50QynBh+zGdZ1fyX87b4EKbBGvd3BeV9FBkS/kJp8Mn9CWGBrbmlEiWtagXrydDxy3g5tgADTOpqDDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1abfa09800daefcb15412634cbe8b5bf56c0b4a1a58023dfcb5672112f0f5199","last_reissued_at":"2026-07-05T09:38:45.131858Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:38:45.131858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.14314","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":"2026-07-05T09:38:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kr21gB9QeH3bVd8ogpiIzCMpJJC2GMBN6iLWyTsEb6yh8A63izmcas+tYtIo4zgGxqbcnZmm1h3g3yVSyEZ4Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T13:36:47.129671Z"},"content_sha256":"6fad06d70eab8e130da0ead9097fe18f39b091c4280558883a53609d52c134d0","schema_version":"1.0","event_id":"sha256:6fad06d70eab8e130da0ead9097fe18f39b091c4280558883a53609d52c134d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:DK72BGAA3LX4WFKBEY2MX2FVX5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Switching Graph Matrix Norm Bounds: from i.i.d. to Random Regular Graphs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.CC","authors_text":"Jeff Xu","submitted_at":"2024-11-21T17:06:53Z","abstract_excerpt":"In this work, we give novel spectral norm bounds for graph matrix on inputs being random regular graphs. Graph matrix is a family of random matrices with entries given by polynomial functions of the underlying input. These matrices have been known to be the backbone for the analysis of various average-case algorithms and hardness. Previous investigations of such matrices are largely restricted to the \\Erdos-\\Renyi model, and tight matrix norm bounds on regular graphs are only known for specific examples. We unite these two lines of investigations, and give the first result departing from the \\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14314","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/2411.14314/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":"2026-07-05T09:38:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HVxNj1tBEPW65YyQFzjfxq40apOhKW86700fO3g8fkU30i/SzbluPyShI4w/2T39002ENNzzMTXYOJNwu63ICA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T13:36:47.130243Z"},"content_sha256":"893924816bcaa8951c07daa193166dd81afa8a9e12eff5d1802c74febd7b41e2","schema_version":"1.0","event_id":"sha256:893924816bcaa8951c07daa193166dd81afa8a9e12eff5d1802c74febd7b41e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DK72BGAA3LX4WFKBEY2MX2FVX5/bundle.json","state_url":"https://pith.science/pith/DK72BGAA3LX4WFKBEY2MX2FVX5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DK72BGAA3LX4WFKBEY2MX2FVX5/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":"2026-08-13T13:36:47Z","links":{"resolver":"https://pith.science/pith/DK72BGAA3LX4WFKBEY2MX2FVX5","bundle":"https://pith.science/pith/DK72BGAA3LX4WFKBEY2MX2FVX5/bundle.json","state":"https://pith.science/pith/DK72BGAA3LX4WFKBEY2MX2FVX5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DK72BGAA3LX4WFKBEY2MX2FVX5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DK72BGAA3LX4WFKBEY2MX2FVX5","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":"1db7167dddec9125326b30b062720bb8e4c35e96a187dba4ae4df4fe628bfae8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CC","submitted_at":"2024-11-21T17:06:53Z","title_canon_sha256":"990b964f4d1f42edfd03400c4968c14859886fb3ba1e2c6ea70e9d1c7d45ac3c"},"schema_version":"1.0","source":{"id":"2411.14314","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.14314","created_at":"2026-07-05T09:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"2411.14314v1","created_at":"2026-07-05T09:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14314","created_at":"2026-07-05T09:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"DK72BGAA3LX4","created_at":"2026-07-05T09:38:45Z"},{"alias_kind":"pith_short_16","alias_value":"DK72BGAA3LX4WFKB","created_at":"2026-07-05T09:38:45Z"},{"alias_kind":"pith_short_8","alias_value":"DK72BGAA","created_at":"2026-07-05T09:38:45Z"}],"graph_snapshots":[{"event_id":"sha256:893924816bcaa8951c07daa193166dd81afa8a9e12eff5d1802c74febd7b41e2","target":"graph","created_at":"2026-07-05T09:38:45Z","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/2411.14314/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we give novel spectral norm bounds for graph matrix on inputs being random regular graphs. Graph matrix is a family of random matrices with entries given by polynomial functions of the underlying input. These matrices have been known to be the backbone for the analysis of various average-case algorithms and hardness. Previous investigations of such matrices are largely restricted to the \\Erdos-\\Renyi model, and tight matrix norm bounds on regular graphs are only known for specific examples. We unite these two lines of investigations, and give the first result departing from the \\","authors_text":"Jeff Xu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CC","submitted_at":"2024-11-21T17:06:53Z","title":"Switching Graph Matrix Norm Bounds: from i.i.d. to Random Regular Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14314","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":"sha256:6fad06d70eab8e130da0ead9097fe18f39b091c4280558883a53609d52c134d0","target":"record","created_at":"2026-07-05T09:38:45Z","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":"1db7167dddec9125326b30b062720bb8e4c35e96a187dba4ae4df4fe628bfae8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CC","submitted_at":"2024-11-21T17:06:53Z","title_canon_sha256":"990b964f4d1f42edfd03400c4968c14859886fb3ba1e2c6ea70e9d1c7d45ac3c"},"schema_version":"1.0","source":{"id":"2411.14314","kind":"arxiv","version":1}},"canonical_sha256":"1abfa09800daefcb15412634cbe8b5bf56c0b4a1a58023dfcb5672112f0f5199","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1abfa09800daefcb15412634cbe8b5bf56c0b4a1a58023dfcb5672112f0f5199","first_computed_at":"2026-07-05T09:38:45.131858Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:38:45.131858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3GTvGjR50QynBh+zGdZ1fyX87b4EKbBGvd3BeV9FBkS/kJp8Mn9CWGBrbmlEiWtagXrydDxy3g5tgADTOpqDDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:38:45.132270Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.14314","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fad06d70eab8e130da0ead9097fe18f39b091c4280558883a53609d52c134d0","sha256:893924816bcaa8951c07daa193166dd81afa8a9e12eff5d1802c74febd7b41e2"],"state_sha256":"10b936758974f80ac14acd7bbfb4b42b5545b2e559be2ec5997c6845ab0464ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L5XDyuD16mpvGb/yp5wa7mLSrboar3niji9c44qJZ0m8zmyBr08uai5rLaBihDjpXf703UPKZXq1t+bpJrTJCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T13:36:47.134427Z","bundle_sha256":"77f7af0fdd5cb8777914f071e123977340c6c228ff9d5a8acb36c6f8c898b1c5"}}