{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:LUEH76QMTLS7QDEA6BORBJ4IJX","short_pith_number":"pith:LUEH76QM","canonical_record":{"source":{"id":"2004.04421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2020-04-09T08:37:08Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"7a9235a9502b7874762f6cbf569e169b6748eb8fd9df5ffea0ca03627a1b36cc","abstract_canon_sha256":"a313d126f999ee5296ac6d28f8a945c5a691780eaa2c337d3dcd6aecefcc4703"},"schema_version":"1.0"},"canonical_sha256":"5d087ffa0c9ae5f80c80f05d10a7884df7fe5fb79a91bf203190f876eb7aecae","source":{"kind":"arxiv","id":"2004.04421","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.04421","created_at":"2026-07-05T00:54:07Z"},{"alias_kind":"arxiv_version","alias_value":"2004.04421v1","created_at":"2026-07-05T00:54:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.04421","created_at":"2026-07-05T00:54:07Z"},{"alias_kind":"pith_short_12","alias_value":"LUEH76QMTLS7","created_at":"2026-07-05T00:54:07Z"},{"alias_kind":"pith_short_16","alias_value":"LUEH76QMTLS7QDEA","created_at":"2026-07-05T00:54:07Z"},{"alias_kind":"pith_short_8","alias_value":"LUEH76QM","created_at":"2026-07-05T00:54:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:LUEH76QMTLS7QDEA6BORBJ4IJX","target":"record","payload":{"canonical_record":{"source":{"id":"2004.04421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2020-04-09T08:37:08Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"7a9235a9502b7874762f6cbf569e169b6748eb8fd9df5ffea0ca03627a1b36cc","abstract_canon_sha256":"a313d126f999ee5296ac6d28f8a945c5a691780eaa2c337d3dcd6aecefcc4703"},"schema_version":"1.0"},"canonical_sha256":"5d087ffa0c9ae5f80c80f05d10a7884df7fe5fb79a91bf203190f876eb7aecae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:54:07.869049Z","signature_b64":"CwUqehjXHOMNKc6eEpSBSiCvMA2+C97fuENWCNamUgysFzF1HCNfCV/cwe9Hu+2GYStqNLOIugnAEbC9yT+nDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d087ffa0c9ae5f80c80f05d10a7884df7fe5fb79a91bf203190f876eb7aecae","last_reissued_at":"2026-07-05T00:54:07.868569Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:54:07.868569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2004.04421","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":"2026-07-05T00:54:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"22iPYgKY4X+dJPsFVuUWByxoioJ+0+wvtY880kVRi0bsfiXZ1IDkOMgz78u6itj3foT456IjDXjUYhs3TaWUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T12:42:16.794660Z"},"content_sha256":"18ab2cbef1b32f4e509a9f5ae79bdeb5f83cce89eae64f315963c40b71905e28","schema_version":"1.0","event_id":"sha256:18ab2cbef1b32f4e509a9f5ae79bdeb5f83cce89eae64f315963c40b71905e28"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:LUEH76QMTLS7QDEA6BORBJ4IJX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological Coded Distributed Computing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Giuseppe Caire, Kai Wan, Mingyue Ji","submitted_at":"2020-04-09T08:37:08Z","abstract_excerpt":"This paper considers the MapReduce-like coded distributed computing framework originally proposed by Li et al., which uses coding techniques when distributed computing servers exchange their computed intermediate values, in order to reduce the overall traffic load. Their original model servers are connected via an error-free common communication bus allowing broadcast transmissions. However, this assumption is one of the major limitations in practice since the practical cloud computing network topologies are far more involved than a simple single bus. We formulate a topological coded distribut"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.04421","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/2004.04421/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":"2026-07-05T00:54:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y2+95tL9txCueOi7Rw0Gl3AkLbDEflFswj1KsHPJ2WbRWO9eQkDQjn2Cx2dXZONni5UkIKLmCj78OZlWLFC5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T12:42:16.795163Z"},"content_sha256":"1346bb8268b26c759e5dee64eafb1219b2c4578a78182179708f03e6c45ce5e8","schema_version":"1.0","event_id":"sha256:1346bb8268b26c759e5dee64eafb1219b2c4578a78182179708f03e6c45ce5e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LUEH76QMTLS7QDEA6BORBJ4IJX/bundle.json","state_url":"https://pith.science/pith/LUEH76QMTLS7QDEA6BORBJ4IJX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LUEH76QMTLS7QDEA6BORBJ4IJX/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":"2026-08-04T12:42:16Z","links":{"resolver":"https://pith.science/pith/LUEH76QMTLS7QDEA6BORBJ4IJX","bundle":"https://pith.science/pith/LUEH76QMTLS7QDEA6BORBJ4IJX/bundle.json","state":"https://pith.science/pith/LUEH76QMTLS7QDEA6BORBJ4IJX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LUEH76QMTLS7QDEA6BORBJ4IJX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:LUEH76QMTLS7QDEA6BORBJ4IJX","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":"a313d126f999ee5296ac6d28f8a945c5a691780eaa2c337d3dcd6aecefcc4703","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2020-04-09T08:37:08Z","title_canon_sha256":"7a9235a9502b7874762f6cbf569e169b6748eb8fd9df5ffea0ca03627a1b36cc"},"schema_version":"1.0","source":{"id":"2004.04421","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.04421","created_at":"2026-07-05T00:54:07Z"},{"alias_kind":"arxiv_version","alias_value":"2004.04421v1","created_at":"2026-07-05T00:54:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.04421","created_at":"2026-07-05T00:54:07Z"},{"alias_kind":"pith_short_12","alias_value":"LUEH76QMTLS7","created_at":"2026-07-05T00:54:07Z"},{"alias_kind":"pith_short_16","alias_value":"LUEH76QMTLS7QDEA","created_at":"2026-07-05T00:54:07Z"},{"alias_kind":"pith_short_8","alias_value":"LUEH76QM","created_at":"2026-07-05T00:54:07Z"}],"graph_snapshots":[{"event_id":"sha256:1346bb8268b26c759e5dee64eafb1219b2c4578a78182179708f03e6c45ce5e8","target":"graph","created_at":"2026-07-05T00:54:07Z","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/2004.04421/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper considers the MapReduce-like coded distributed computing framework originally proposed by Li et al., which uses coding techniques when distributed computing servers exchange their computed intermediate values, in order to reduce the overall traffic load. Their original model servers are connected via an error-free common communication bus allowing broadcast transmissions. However, this assumption is one of the major limitations in practice since the practical cloud computing network topologies are far more involved than a simple single bus. We formulate a topological coded distribut","authors_text":"Giuseppe Caire, Kai Wan, Mingyue Ji","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2020-04-09T08:37:08Z","title":"Topological Coded Distributed Computing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.04421","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":"sha256:18ab2cbef1b32f4e509a9f5ae79bdeb5f83cce89eae64f315963c40b71905e28","target":"record","created_at":"2026-07-05T00:54:07Z","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":"a313d126f999ee5296ac6d28f8a945c5a691780eaa2c337d3dcd6aecefcc4703","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2020-04-09T08:37:08Z","title_canon_sha256":"7a9235a9502b7874762f6cbf569e169b6748eb8fd9df5ffea0ca03627a1b36cc"},"schema_version":"1.0","source":{"id":"2004.04421","kind":"arxiv","version":1}},"canonical_sha256":"5d087ffa0c9ae5f80c80f05d10a7884df7fe5fb79a91bf203190f876eb7aecae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d087ffa0c9ae5f80c80f05d10a7884df7fe5fb79a91bf203190f876eb7aecae","first_computed_at":"2026-07-05T00:54:07.868569Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:54:07.868569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CwUqehjXHOMNKc6eEpSBSiCvMA2+C97fuENWCNamUgysFzF1HCNfCV/cwe9Hu+2GYStqNLOIugnAEbC9yT+nDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:54:07.869049Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.04421","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18ab2cbef1b32f4e509a9f5ae79bdeb5f83cce89eae64f315963c40b71905e28","sha256:1346bb8268b26c759e5dee64eafb1219b2c4578a78182179708f03e6c45ce5e8"],"state_sha256":"1bf3f5de5f283583254dab478bb7bb187923be788b547542ab9f3eeaf9656c1f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sxAyIcZW3DgPaoxbjxiPP4Txrvcv4tCUtaYckFLnThgK4fpFkBWWd83MEIaVtYfb+8ibRzr/P3eWWAOLoKQOCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T12:42:16.798863Z","bundle_sha256":"eea26a09d1ab3ab09473c3279567f4b6983cf319954e5448f92e03b210b64b61"}}