{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:5HHWPTXBIORS5IQI2DG3IYTDJ6","short_pith_number":"pith:5HHWPTXB","canonical_record":{"source":{"id":"1606.09076","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-29T13:14:47Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"626019fc1ce12253c5836f293c221e44ae0f46fcb676c2f4edf4495c19f74167","abstract_canon_sha256":"159c0d37b52d38fa6904d8f17b527606e68fc72adb61419e90cb1d1d38bf971d"},"schema_version":"1.0"},"canonical_sha256":"e9cf67cee143a32ea208d0cdb462634fb0d1ec25b562e0e61e61629fed3730b0","source":{"kind":"arxiv","id":"1606.09076","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09076","created_at":"2026-05-18T00:03:37Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09076v2","created_at":"2026-05-18T00:03:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09076","created_at":"2026-05-18T00:03:37Z"},{"alias_kind":"pith_short_12","alias_value":"5HHWPTXBIORS","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5HHWPTXBIORS5IQI","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5HHWPTXB","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:5HHWPTXBIORS5IQI2DG3IYTDJ6","target":"record","payload":{"canonical_record":{"source":{"id":"1606.09076","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-29T13:14:47Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"626019fc1ce12253c5836f293c221e44ae0f46fcb676c2f4edf4495c19f74167","abstract_canon_sha256":"159c0d37b52d38fa6904d8f17b527606e68fc72adb61419e90cb1d1d38bf971d"},"schema_version":"1.0"},"canonical_sha256":"e9cf67cee143a32ea208d0cdb462634fb0d1ec25b562e0e61e61629fed3730b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:37.491572Z","signature_b64":"z2/6pDTSpJ53SluUcSd4YWoanrtLRWoXLiQ5IjQzUiZdFKiHu7s6Xrs5+HRjjH0OzYX7MFDucPQ7ZoDcQfx4Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9cf67cee143a32ea208d0cdb462634fb0d1ec25b562e0e61e61629fed3730b0","last_reissued_at":"2026-05-18T00:03:37.490964Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:37.490964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.09076","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":"2026-05-18T00:03:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L7Y6UQHaT8aSTXAE02SlWqWvxTSar0l4dhzunfvcuvnt53XTE2v3mIU9v1f0hnBBUMyLMajb6zyYYd1DvViQAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T20:29:05.157254Z"},"content_sha256":"06bdd8d3eb5c13357f279e4249f3dd4a202fa43d4da9a8857882579c70b6971e","schema_version":"1.0","event_id":"sha256:06bdd8d3eb5c13357f279e4249f3dd4a202fa43d4da9a8857882579c70b6971e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:5HHWPTXBIORS5IQI2DG3IYTDJ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decentralized Caching Schemes and Performance Limits in Two-layer Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Gang Wu, Lin Zhang, Ming Xiao, Shaoqian Li, Ying-Chaang Liang, Zhao Wang","submitted_at":"2016-06-29T13:14:47Z","abstract_excerpt":"We study the decentralized caching scheme in a two-layer network, which includes a sever, multiple helpers, and multiple users. Basically, the proposed caching scheme consists of two phases, i.e, placement phase and delivery phase. In the placement phase, each helper/user randomly and independently selects contents from the server and stores them into its memory. In the delivery phase, the users request contents from the server, and the server satisfies each user through a helper. Different from the existing caching scheme, the proposed caching scheme takes into account the pre-stored contents"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09076","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":""},"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":"2026-05-18T00:03:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v3brLMId5Mv6rK833SA7v5805KoLYxOV7KHn/ZALZB4NF05KNaLcuFDciKOITZ+rwv4Kf95SyFQo8iTL6/kABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T20:29:05.157971Z"},"content_sha256":"404aacb8b143fd0cddcf82dc05af5462b7b549d002faaab8be1b94fd66d75fcf","schema_version":"1.0","event_id":"sha256:404aacb8b143fd0cddcf82dc05af5462b7b549d002faaab8be1b94fd66d75fcf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5HHWPTXBIORS5IQI2DG3IYTDJ6/bundle.json","state_url":"https://pith.science/pith/5HHWPTXBIORS5IQI2DG3IYTDJ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5HHWPTXBIORS5IQI2DG3IYTDJ6/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":"2026-06-11T20:29:05Z","links":{"resolver":"https://pith.science/pith/5HHWPTXBIORS5IQI2DG3IYTDJ6","bundle":"https://pith.science/pith/5HHWPTXBIORS5IQI2DG3IYTDJ6/bundle.json","state":"https://pith.science/pith/5HHWPTXBIORS5IQI2DG3IYTDJ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5HHWPTXBIORS5IQI2DG3IYTDJ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5HHWPTXBIORS5IQI2DG3IYTDJ6","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":"159c0d37b52d38fa6904d8f17b527606e68fc72adb61419e90cb1d1d38bf971d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-29T13:14:47Z","title_canon_sha256":"626019fc1ce12253c5836f293c221e44ae0f46fcb676c2f4edf4495c19f74167"},"schema_version":"1.0","source":{"id":"1606.09076","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09076","created_at":"2026-05-18T00:03:37Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09076v2","created_at":"2026-05-18T00:03:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09076","created_at":"2026-05-18T00:03:37Z"},{"alias_kind":"pith_short_12","alias_value":"5HHWPTXBIORS","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5HHWPTXBIORS5IQI","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5HHWPTXB","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:404aacb8b143fd0cddcf82dc05af5462b7b549d002faaab8be1b94fd66d75fcf","target":"graph","created_at":"2026-05-18T00:03:37Z","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"},"paper":{"abstract_excerpt":"We study the decentralized caching scheme in a two-layer network, which includes a sever, multiple helpers, and multiple users. Basically, the proposed caching scheme consists of two phases, i.e, placement phase and delivery phase. In the placement phase, each helper/user randomly and independently selects contents from the server and stores them into its memory. In the delivery phase, the users request contents from the server, and the server satisfies each user through a helper. Different from the existing caching scheme, the proposed caching scheme takes into account the pre-stored contents","authors_text":"Gang Wu, Lin Zhang, Ming Xiao, Shaoqian Li, Ying-Chaang Liang, Zhao Wang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-29T13:14:47Z","title":"Decentralized Caching Schemes and Performance Limits in Two-layer Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09076","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":"sha256:06bdd8d3eb5c13357f279e4249f3dd4a202fa43d4da9a8857882579c70b6971e","target":"record","created_at":"2026-05-18T00:03:37Z","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":"159c0d37b52d38fa6904d8f17b527606e68fc72adb61419e90cb1d1d38bf971d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-29T13:14:47Z","title_canon_sha256":"626019fc1ce12253c5836f293c221e44ae0f46fcb676c2f4edf4495c19f74167"},"schema_version":"1.0","source":{"id":"1606.09076","kind":"arxiv","version":2}},"canonical_sha256":"e9cf67cee143a32ea208d0cdb462634fb0d1ec25b562e0e61e61629fed3730b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9cf67cee143a32ea208d0cdb462634fb0d1ec25b562e0e61e61629fed3730b0","first_computed_at":"2026-05-18T00:03:37.490964Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:37.490964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z2/6pDTSpJ53SluUcSd4YWoanrtLRWoXLiQ5IjQzUiZdFKiHu7s6Xrs5+HRjjH0OzYX7MFDucPQ7ZoDcQfx4Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:37.491572Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.09076","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06bdd8d3eb5c13357f279e4249f3dd4a202fa43d4da9a8857882579c70b6971e","sha256:404aacb8b143fd0cddcf82dc05af5462b7b549d002faaab8be1b94fd66d75fcf"],"state_sha256":"e336114ed86d01d0b6355c78919989e68073ebd316dcc0ab6e3a4e113b42f593"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TiKVpisSb9wp9K7D/U4DDh8z5k1OJDSk4zxWa+l+PHZjUUHbmMaQdusPTcd7cL7CZgMknnWiRURx8rUp7kJuDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T20:29:05.162675Z","bundle_sha256":"01b1c3e62c8e95965c88fe466c482ba2ee2b3419bda57888d2ce4a02bd85215f"}}