{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:MKQZOAJHBKY7CDKNIDAN2ZVUJF","short_pith_number":"pith:MKQZOAJH","canonical_record":{"source":{"id":"2505.14250","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-05-20T12:04:20Z","cross_cats_sorted":[],"title_canon_sha256":"f1f5b9dee8f5e974aea33d49c91205df6f1627f9e731089e2994c1b46277a788","abstract_canon_sha256":"07850e279394d1b96c00fec96709ad790edac5dbcb9a9e3d68dbbdcc4bd623b5"},"schema_version":"1.0"},"canonical_sha256":"62a19701270ab1f10d4d40c0dd66b44973ccbdc91498e4b8f5c3fb7f96c1ffbe","source":{"kind":"arxiv","id":"2505.14250","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.14250","created_at":"2026-07-05T11:05:58Z"},{"alias_kind":"arxiv_version","alias_value":"2505.14250v1","created_at":"2026-07-05T11:05:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.14250","created_at":"2026-07-05T11:05:58Z"},{"alias_kind":"pith_short_12","alias_value":"MKQZOAJHBKY7","created_at":"2026-07-05T11:05:58Z"},{"alias_kind":"pith_short_16","alias_value":"MKQZOAJHBKY7CDKN","created_at":"2026-07-05T11:05:58Z"},{"alias_kind":"pith_short_8","alias_value":"MKQZOAJH","created_at":"2026-07-05T11:05:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:MKQZOAJHBKY7CDKNIDAN2ZVUJF","target":"record","payload":{"canonical_record":{"source":{"id":"2505.14250","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-05-20T12:04:20Z","cross_cats_sorted":[],"title_canon_sha256":"f1f5b9dee8f5e974aea33d49c91205df6f1627f9e731089e2994c1b46277a788","abstract_canon_sha256":"07850e279394d1b96c00fec96709ad790edac5dbcb9a9e3d68dbbdcc4bd623b5"},"schema_version":"1.0"},"canonical_sha256":"62a19701270ab1f10d4d40c0dd66b44973ccbdc91498e4b8f5c3fb7f96c1ffbe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:05:58.451466Z","signature_b64":"jBh6or6ffe+WYuH7jeIovrcq62xR8cqVn8l4AB6avix/9iDo9uwplADx7tDhIaBfKiHNyeFIb4pa7qnnhuySAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62a19701270ab1f10d4d40c0dd66b44973ccbdc91498e4b8f5c3fb7f96c1ffbe","last_reissued_at":"2026-07-05T11:05:58.451046Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:05:58.451046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.14250","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":"2026-07-05T11:05:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Oo2wqV3843pKIWi/yPPT3NIQDnAnNfZBY/moKH20mWHjVh4v5NE1dHO9gzTXC33X3eJqXULUu0rHt6zqj4T3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T20:05:07.205262Z"},"content_sha256":"5a2a09c295ef0244445b9b96845ccce593fadbb8b653f1944c05466bc316a6a2","schema_version":"1.0","event_id":"sha256:5a2a09c295ef0244445b9b96845ccce593fadbb8b653f1944c05466bc316a6a2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:MKQZOAJHBKY7CDKNIDAN2ZVUJF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simple and Optimal Algorithms for Heavy Hitters and Frequency Moments in Distributed Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DS","authors_text":"Xiaoyi Zhu, Zengfeng Huang, Zhewei Wei, Zhongzheng Xiong","submitted_at":"2025-05-20T12:04:20Z","abstract_excerpt":"We consider the problems of distributed heavy hitters and frequency moments in both the coordinator model and the distributed tracking model (also known as the distributed functional monitoring model). We present simple and optimal (up to logarithmic factors) algorithms for $\\ell_p$ heavy hitters and $F_p$ estimation ($p \\geq 2$) in these distributed models.\n  For $\\ell_p$ heavy hitters in the coordinator model, our algorithm requires only one round and uses $\\tilde{O}(k^{p-1}/\\eps^p)$ bits of communication. For $p > 2$, this is the first near-optimal result. By combining our algorithm with th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.14250","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/2505.14250/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":"2026-07-05T11:05:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xPXXp4lHQwuBoT05f8EPXKhOl9OeeG+3HYLy+/aJ1h11hVtSqXXa/b/mr88DONS0oupqOxg9Sc/9tfSpS/uwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T20:05:07.206660Z"},"content_sha256":"4b4881a5af15ac9cae3cebb89e373fa9822d1518b2ddf1f432b0e92242147282","schema_version":"1.0","event_id":"sha256:4b4881a5af15ac9cae3cebb89e373fa9822d1518b2ddf1f432b0e92242147282"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MKQZOAJHBKY7CDKNIDAN2ZVUJF/bundle.json","state_url":"https://pith.science/pith/MKQZOAJHBKY7CDKNIDAN2ZVUJF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MKQZOAJHBKY7CDKNIDAN2ZVUJF/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":"2026-08-16T20:05:07Z","links":{"resolver":"https://pith.science/pith/MKQZOAJHBKY7CDKNIDAN2ZVUJF","bundle":"https://pith.science/pith/MKQZOAJHBKY7CDKNIDAN2ZVUJF/bundle.json","state":"https://pith.science/pith/MKQZOAJHBKY7CDKNIDAN2ZVUJF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MKQZOAJHBKY7CDKNIDAN2ZVUJF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:MKQZOAJHBKY7CDKNIDAN2ZVUJF","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":"07850e279394d1b96c00fec96709ad790edac5dbcb9a9e3d68dbbdcc4bd623b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-05-20T12:04:20Z","title_canon_sha256":"f1f5b9dee8f5e974aea33d49c91205df6f1627f9e731089e2994c1b46277a788"},"schema_version":"1.0","source":{"id":"2505.14250","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.14250","created_at":"2026-07-05T11:05:58Z"},{"alias_kind":"arxiv_version","alias_value":"2505.14250v1","created_at":"2026-07-05T11:05:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.14250","created_at":"2026-07-05T11:05:58Z"},{"alias_kind":"pith_short_12","alias_value":"MKQZOAJHBKY7","created_at":"2026-07-05T11:05:58Z"},{"alias_kind":"pith_short_16","alias_value":"MKQZOAJHBKY7CDKN","created_at":"2026-07-05T11:05:58Z"},{"alias_kind":"pith_short_8","alias_value":"MKQZOAJH","created_at":"2026-07-05T11:05:58Z"}],"graph_snapshots":[{"event_id":"sha256:4b4881a5af15ac9cae3cebb89e373fa9822d1518b2ddf1f432b0e92242147282","target":"graph","created_at":"2026-07-05T11:05:58Z","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/2505.14250/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problems of distributed heavy hitters and frequency moments in both the coordinator model and the distributed tracking model (also known as the distributed functional monitoring model). We present simple and optimal (up to logarithmic factors) algorithms for $\\ell_p$ heavy hitters and $F_p$ estimation ($p \\geq 2$) in these distributed models.\n  For $\\ell_p$ heavy hitters in the coordinator model, our algorithm requires only one round and uses $\\tilde{O}(k^{p-1}/\\eps^p)$ bits of communication. For $p > 2$, this is the first near-optimal result. By combining our algorithm with th","authors_text":"Xiaoyi Zhu, Zengfeng Huang, Zhewei Wei, Zhongzheng Xiong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-05-20T12:04:20Z","title":"Simple and Optimal Algorithms for Heavy Hitters and Frequency Moments in Distributed Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.14250","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":"sha256:5a2a09c295ef0244445b9b96845ccce593fadbb8b653f1944c05466bc316a6a2","target":"record","created_at":"2026-07-05T11:05:58Z","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":"07850e279394d1b96c00fec96709ad790edac5dbcb9a9e3d68dbbdcc4bd623b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-05-20T12:04:20Z","title_canon_sha256":"f1f5b9dee8f5e974aea33d49c91205df6f1627f9e731089e2994c1b46277a788"},"schema_version":"1.0","source":{"id":"2505.14250","kind":"arxiv","version":1}},"canonical_sha256":"62a19701270ab1f10d4d40c0dd66b44973ccbdc91498e4b8f5c3fb7f96c1ffbe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62a19701270ab1f10d4d40c0dd66b44973ccbdc91498e4b8f5c3fb7f96c1ffbe","first_computed_at":"2026-07-05T11:05:58.451046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:05:58.451046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jBh6or6ffe+WYuH7jeIovrcq62xR8cqVn8l4AB6avix/9iDo9uwplADx7tDhIaBfKiHNyeFIb4pa7qnnhuySAw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:05:58.451466Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.14250","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a2a09c295ef0244445b9b96845ccce593fadbb8b653f1944c05466bc316a6a2","sha256:4b4881a5af15ac9cae3cebb89e373fa9822d1518b2ddf1f432b0e92242147282"],"state_sha256":"612d2d358012da413ae42919fbb0d2d23703cd858dd0226e56f3cc4918f51521"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZuQm1Jc3/u6mPZwT34vNTc4i4CKM1wvv2K3Zcq0G4rzU14TToVQHatWjRmW95firSwZ3ZRkTafqT4sULl0r1Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T20:05:07.213183Z","bundle_sha256":"9417de20c8450a95b3e377550821414763723a0b865450cb3a6645bcab8813f1"}}