{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YWPRZL6UPKK5Q4TJUKEBJE4AMQ","short_pith_number":"pith:YWPRZL6U","canonical_record":{"source":{"id":"1611.01579","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-11-05T00:43:05Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"a019e6b99e300085eb5bc67587b2357aab6c24b5c01fce5a3854c0d7cec46328","abstract_canon_sha256":"61b66b54266c7f2d8ac428eda8676af1f9f66d4817584b56c112ff77e2691d0f"},"schema_version":"1.0"},"canonical_sha256":"c59f1cafd47a95d87269a288149380640906b3bf9a7298d9bd4d13e1d3c123c5","source":{"kind":"arxiv","id":"1611.01579","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.01579","created_at":"2026-05-18T00:39:12Z"},{"alias_kind":"arxiv_version","alias_value":"1611.01579v2","created_at":"2026-05-18T00:39:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01579","created_at":"2026-05-18T00:39:12Z"},{"alias_kind":"pith_short_12","alias_value":"YWPRZL6UPKK5","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YWPRZL6UPKK5Q4TJ","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YWPRZL6U","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YWPRZL6UPKK5Q4TJUKEBJE4AMQ","target":"record","payload":{"canonical_record":{"source":{"id":"1611.01579","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-11-05T00:43:05Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"a019e6b99e300085eb5bc67587b2357aab6c24b5c01fce5a3854c0d7cec46328","abstract_canon_sha256":"61b66b54266c7f2d8ac428eda8676af1f9f66d4817584b56c112ff77e2691d0f"},"schema_version":"1.0"},"canonical_sha256":"c59f1cafd47a95d87269a288149380640906b3bf9a7298d9bd4d13e1d3c123c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:12.998462Z","signature_b64":"hMJnNrIqckNM9iLAdXkBlZbA5UtOzE/uOcTASqK8/gdtLarOsHB0Go0WBWZPXEc6E9BZtNMNPfb2NZGNWH/NCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c59f1cafd47a95d87269a288149380640906b3bf9a7298d9bd4d13e1d3c123c5","last_reissued_at":"2026-05-18T00:39:12.997983Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:12.997983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.01579","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":"2026-05-18T00:39:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uWe1u1Ps41nwTGyx7u9wgY77C7KlQPXbz5COpPe+1/2l4gMexOm5iL5SDSsJJCHZKREYX87LfeaNA6E4itxeBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:58:40.422082Z"},"content_sha256":"6c725b953999a37244d0e14a81dd5154ef64d1f886ea9e42cb603f01cf969433","schema_version":"1.0","event_id":"sha256:6c725b953999a37244d0e14a81dd5154ef64d1f886ea9e42cb603f01cf969433"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YWPRZL6UPKK5Q4TJUKEBJE4AMQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decentralized Caching and Coded Delivery with Distinct Cache Capacities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Deniz Gunduz, Mohammad Mohammadi Amiri, Qianqian Yang","submitted_at":"2016-11-05T00:43:05Z","abstract_excerpt":"Decentralized proactive caching and coded delivery is studied in a content delivery network, where each user is equipped with a cache memory, not necessarily of equal capacity. Cache memories are filled in advance during the off-peak traffic period in a decentralized manner, i.e., without the knowledge of the number of active users, their identities, or their particular demands. User demands are revealed during the peak traffic period, and are served simultaneously through an error-free shared link. The goal is to find the minimum delivery rate during the peak traffic period that is sufficient"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01579","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":"2026-05-18T00:39:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZrbSNsyBC+QvUFLVs+voiBZc827WfyrIS0WeRjVC7eOYdEymqeWxr31Yz0ffCvzv9P0ANVuYLlw+X6xePNdMDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:58:40.422443Z"},"content_sha256":"084409874dd4d5780773e1ea824400d13f5ea3430f209b41593a8a8d46c3fc4f","schema_version":"1.0","event_id":"sha256:084409874dd4d5780773e1ea824400d13f5ea3430f209b41593a8a8d46c3fc4f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YWPRZL6UPKK5Q4TJUKEBJE4AMQ/bundle.json","state_url":"https://pith.science/pith/YWPRZL6UPKK5Q4TJUKEBJE4AMQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YWPRZL6UPKK5Q4TJUKEBJE4AMQ/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":"2026-06-02T17:58:40Z","links":{"resolver":"https://pith.science/pith/YWPRZL6UPKK5Q4TJUKEBJE4AMQ","bundle":"https://pith.science/pith/YWPRZL6UPKK5Q4TJUKEBJE4AMQ/bundle.json","state":"https://pith.science/pith/YWPRZL6UPKK5Q4TJUKEBJE4AMQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YWPRZL6UPKK5Q4TJUKEBJE4AMQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YWPRZL6UPKK5Q4TJUKEBJE4AMQ","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":"61b66b54266c7f2d8ac428eda8676af1f9f66d4817584b56c112ff77e2691d0f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-11-05T00:43:05Z","title_canon_sha256":"a019e6b99e300085eb5bc67587b2357aab6c24b5c01fce5a3854c0d7cec46328"},"schema_version":"1.0","source":{"id":"1611.01579","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.01579","created_at":"2026-05-18T00:39:12Z"},{"alias_kind":"arxiv_version","alias_value":"1611.01579v2","created_at":"2026-05-18T00:39:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01579","created_at":"2026-05-18T00:39:12Z"},{"alias_kind":"pith_short_12","alias_value":"YWPRZL6UPKK5","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YWPRZL6UPKK5Q4TJ","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YWPRZL6U","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:084409874dd4d5780773e1ea824400d13f5ea3430f209b41593a8a8d46c3fc4f","target":"graph","created_at":"2026-05-18T00:39:12Z","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":"Decentralized proactive caching and coded delivery is studied in a content delivery network, where each user is equipped with a cache memory, not necessarily of equal capacity. Cache memories are filled in advance during the off-peak traffic period in a decentralized manner, i.e., without the knowledge of the number of active users, their identities, or their particular demands. User demands are revealed during the peak traffic period, and are served simultaneously through an error-free shared link. The goal is to find the minimum delivery rate during the peak traffic period that is sufficient","authors_text":"Deniz Gunduz, Mohammad Mohammadi Amiri, Qianqian Yang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-11-05T00:43:05Z","title":"Decentralized Caching and Coded Delivery with Distinct Cache Capacities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01579","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":"sha256:6c725b953999a37244d0e14a81dd5154ef64d1f886ea9e42cb603f01cf969433","target":"record","created_at":"2026-05-18T00:39:12Z","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":"61b66b54266c7f2d8ac428eda8676af1f9f66d4817584b56c112ff77e2691d0f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-11-05T00:43:05Z","title_canon_sha256":"a019e6b99e300085eb5bc67587b2357aab6c24b5c01fce5a3854c0d7cec46328"},"schema_version":"1.0","source":{"id":"1611.01579","kind":"arxiv","version":2}},"canonical_sha256":"c59f1cafd47a95d87269a288149380640906b3bf9a7298d9bd4d13e1d3c123c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c59f1cafd47a95d87269a288149380640906b3bf9a7298d9bd4d13e1d3c123c5","first_computed_at":"2026-05-18T00:39:12.997983Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:12.997983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hMJnNrIqckNM9iLAdXkBlZbA5UtOzE/uOcTASqK8/gdtLarOsHB0Go0WBWZPXEc6E9BZtNMNPfb2NZGNWH/NCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:12.998462Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.01579","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c725b953999a37244d0e14a81dd5154ef64d1f886ea9e42cb603f01cf969433","sha256:084409874dd4d5780773e1ea824400d13f5ea3430f209b41593a8a8d46c3fc4f"],"state_sha256":"2a5e6576694a77435d7a12fcfb82d22595f1735a5b520a0cb90708bb49871aa4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OL5fpOlf0kk3OTLEOc4QgkUJ5Qyn2oSEhvT5/lX/essPE2fCioerSERiSnMQnHPd9uvNq7Yw0kd+fivQPPEyCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T17:58:40.424440Z","bundle_sha256":"46d6b419e2603d3c71c0a8c494ae561a0821b43d3db8f81dac1eb37edc3f3291"}}