{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:VFP6QYX27C6BCH7POOLKGDNX32","short_pith_number":"pith:VFP6QYX2","canonical_record":{"source":{"id":"1805.02527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-07T13:49:21Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"388ada04b279e7d273be5bc16521179dd54ce4bac9c444c659147fd0d07453af","abstract_canon_sha256":"6084e550173a28863ddc99287868106076bb77d6ea8d20936bd0d6d0f0bb28f1"},"schema_version":"1.0"},"canonical_sha256":"a95fe862faf8bc111fef7396a30db7dea86d667407d916e2b1a22387f757579d","source":{"kind":"arxiv","id":"1805.02527","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.02527","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"arxiv_version","alias_value":"1805.02527v1","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02527","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"pith_short_12","alias_value":"VFP6QYX27C6B","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VFP6QYX27C6BCH7P","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VFP6QYX2","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:VFP6QYX27C6BCH7POOLKGDNX32","target":"record","payload":{"canonical_record":{"source":{"id":"1805.02527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-07T13:49:21Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"388ada04b279e7d273be5bc16521179dd54ce4bac9c444c659147fd0d07453af","abstract_canon_sha256":"6084e550173a28863ddc99287868106076bb77d6ea8d20936bd0d6d0f0bb28f1"},"schema_version":"1.0"},"canonical_sha256":"a95fe862faf8bc111fef7396a30db7dea86d667407d916e2b1a22387f757579d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:39.709655Z","signature_b64":"AOQXl1OcjidDkXt+NawpsoSlRaVrmadlmtpcpnNgJNOSPIibAiuK0yCimbZZ745XRMs3oSA8aEb9swfB7yalDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a95fe862faf8bc111fef7396a30db7dea86d667407d916e2b1a22387f757579d","last_reissued_at":"2026-05-18T00:16:39.708952Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:39.708952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.02527","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":"2026-05-18T00:16:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+R/f1X5Q6ff2i3zHXLpBiUwIFD8ZZ+bbqOqKl4+zguRpiVZ1T3E5plKEoZNJuHnENRDm2rnqqwp8DDBoUh2ZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T09:44:20.921421Z"},"content_sha256":"b2096f95b905d765dc1a99ec430c01b3bf7438ba0023c7f0f1da2c2080fa99e9","schema_version":"1.0","event_id":"sha256:b2096f95b905d765dc1a99ec430c01b3bf7438ba0023c7f0f1da2c2080fa99e9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:VFP6QYX27C6BCH7POOLKGDNX32","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degrees of Freedom of the Bursty MIMO X Channel with Instantaneous Topological Information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"I-Hsiang Wang, Shih-Yi Yeh","submitted_at":"2018-05-07T13:49:21Z","abstract_excerpt":"We study the effects of instantaneous feedback of channel topology on the degrees of freedom (DoF) of the bursty MIMO X channel, where the four transmitter-receiver links are intermittently on-and-off, governed by four independent Bernoulli $(p)$ random sequences, and each transmitter and receiver are equipped with $M$ and $N$ antennas, respectively. We partially characterize this channel: The sum DoF is characterized when $p\\le \\frac{1}{2}$ or when $\\frac{\\min(M,N)}{\\max(M,N)} \\le \\frac{2}{3}$. In the remaining regime, the lower bound is within $5.2\\%$ of the upper bound. Strictly higher DoF "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02527","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":""},"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":"2026-05-18T00:16:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UXxoxzrFrrFgcn/LdA+X/wQry+yxDBMJYoaT0wB69gydaPz82TO1luDjIMu4yvEh32vq7F4/XL56EUbRlCI5Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T09:44:20.921765Z"},"content_sha256":"b85f2cf42e35cb8cbaf5c1999871cf6f2469b35d03d31f5cfcab929dfc5c1adf","schema_version":"1.0","event_id":"sha256:b85f2cf42e35cb8cbaf5c1999871cf6f2469b35d03d31f5cfcab929dfc5c1adf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VFP6QYX27C6BCH7POOLKGDNX32/bundle.json","state_url":"https://pith.science/pith/VFP6QYX27C6BCH7POOLKGDNX32/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VFP6QYX27C6BCH7POOLKGDNX32/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":"2026-06-02T09:44:20Z","links":{"resolver":"https://pith.science/pith/VFP6QYX27C6BCH7POOLKGDNX32","bundle":"https://pith.science/pith/VFP6QYX27C6BCH7POOLKGDNX32/bundle.json","state":"https://pith.science/pith/VFP6QYX27C6BCH7POOLKGDNX32/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VFP6QYX27C6BCH7POOLKGDNX32/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VFP6QYX27C6BCH7POOLKGDNX32","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":"6084e550173a28863ddc99287868106076bb77d6ea8d20936bd0d6d0f0bb28f1","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-07T13:49:21Z","title_canon_sha256":"388ada04b279e7d273be5bc16521179dd54ce4bac9c444c659147fd0d07453af"},"schema_version":"1.0","source":{"id":"1805.02527","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.02527","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"arxiv_version","alias_value":"1805.02527v1","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02527","created_at":"2026-05-18T00:16:39Z"},{"alias_kind":"pith_short_12","alias_value":"VFP6QYX27C6B","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VFP6QYX27C6BCH7P","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VFP6QYX2","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:b85f2cf42e35cb8cbaf5c1999871cf6f2469b35d03d31f5cfcab929dfc5c1adf","target":"graph","created_at":"2026-05-18T00:16:39Z","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 effects of instantaneous feedback of channel topology on the degrees of freedom (DoF) of the bursty MIMO X channel, where the four transmitter-receiver links are intermittently on-and-off, governed by four independent Bernoulli $(p)$ random sequences, and each transmitter and receiver are equipped with $M$ and $N$ antennas, respectively. We partially characterize this channel: The sum DoF is characterized when $p\\le \\frac{1}{2}$ or when $\\frac{\\min(M,N)}{\\max(M,N)} \\le \\frac{2}{3}$. In the remaining regime, the lower bound is within $5.2\\%$ of the upper bound. Strictly higher DoF ","authors_text":"I-Hsiang Wang, Shih-Yi Yeh","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-07T13:49:21Z","title":"Degrees of Freedom of the Bursty MIMO X Channel with Instantaneous Topological Information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02527","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:b2096f95b905d765dc1a99ec430c01b3bf7438ba0023c7f0f1da2c2080fa99e9","target":"record","created_at":"2026-05-18T00:16:39Z","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":"6084e550173a28863ddc99287868106076bb77d6ea8d20936bd0d6d0f0bb28f1","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-07T13:49:21Z","title_canon_sha256":"388ada04b279e7d273be5bc16521179dd54ce4bac9c444c659147fd0d07453af"},"schema_version":"1.0","source":{"id":"1805.02527","kind":"arxiv","version":1}},"canonical_sha256":"a95fe862faf8bc111fef7396a30db7dea86d667407d916e2b1a22387f757579d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a95fe862faf8bc111fef7396a30db7dea86d667407d916e2b1a22387f757579d","first_computed_at":"2026-05-18T00:16:39.708952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:39.708952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AOQXl1OcjidDkXt+NawpsoSlRaVrmadlmtpcpnNgJNOSPIibAiuK0yCimbZZ745XRMs3oSA8aEb9swfB7yalDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:39.709655Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.02527","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2096f95b905d765dc1a99ec430c01b3bf7438ba0023c7f0f1da2c2080fa99e9","sha256:b85f2cf42e35cb8cbaf5c1999871cf6f2469b35d03d31f5cfcab929dfc5c1adf"],"state_sha256":"ccdb4b93e0afa1074c3e42b6f5e8da8d4e7a36886eecb58a6e9245e3bd578b3e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZiW/EBW7ROTPh1KTxKidSwYpn/jEEnxCBsDkj57gcYdafFuQ7Ih9wH/lkEemYjoM7K16Dxy1A/H4WBMojacAAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T09:44:20.923686Z","bundle_sha256":"8f42f0aea166e38df6385ba762f72d2e8fba10f589212e8b26ef984890159026"}}