{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:POAVW3PIGQD23HQUD3RDDCNEV3","short_pith_number":"pith:POAVW3PI","canonical_record":{"source":{"id":"1710.04588","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-10-12T16:14:23Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"feaccfe452a28f2e00b852c31dd5b5e00904932aef8c18dd3f9157381d85fa19","abstract_canon_sha256":"51b279b000468648f077a5728b41296a45e381ff5ce491d8a57bde5aaeadef65"},"schema_version":"1.0"},"canonical_sha256":"7b815b6de83407ad9e141ee23189a4aef84300946b2930055791aaebaf882a25","source":{"kind":"arxiv","id":"1710.04588","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.04588","created_at":"2026-05-18T00:10:11Z"},{"alias_kind":"arxiv_version","alias_value":"1710.04588v2","created_at":"2026-05-18T00:10:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04588","created_at":"2026-05-18T00:10:11Z"},{"alias_kind":"pith_short_12","alias_value":"POAVW3PIGQD2","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"POAVW3PIGQD23HQU","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"POAVW3PI","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:POAVW3PIGQD23HQUD3RDDCNEV3","target":"record","payload":{"canonical_record":{"source":{"id":"1710.04588","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-10-12T16:14:23Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"feaccfe452a28f2e00b852c31dd5b5e00904932aef8c18dd3f9157381d85fa19","abstract_canon_sha256":"51b279b000468648f077a5728b41296a45e381ff5ce491d8a57bde5aaeadef65"},"schema_version":"1.0"},"canonical_sha256":"7b815b6de83407ad9e141ee23189a4aef84300946b2930055791aaebaf882a25","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:11.264599Z","signature_b64":"hV9SdhIwVVLxWROCtFkP+u5JCx/8aC8nk6abedyrUQE9usAaWiVEUHhdgK718uQBtgH93z8s07EeXZtgE4myBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b815b6de83407ad9e141ee23189a4aef84300946b2930055791aaebaf882a25","last_reissued_at":"2026-05-18T00:10:11.263888Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:11.263888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.04588","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":"2026-05-18T00:10:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+gguYt+rG6fDixhzBJAZkeP6Ohd/laarjih1E9DaN1I08VNYiUk82AaiDt9+qY7dX0u03sBS1H0peYfci4OdDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:55:03.609667Z"},"content_sha256":"0a5f572a0f1b6554a6d6b552d5681738ca1adac3989efb6a6820cebe2920a188","schema_version":"1.0","event_id":"sha256:0a5f572a0f1b6554a6d6b552d5681738ca1adac3989efb6a6820cebe2920a188"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:POAVW3PIGQD23HQUD3RDDCNEV3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Throughput Region of Spatially Correlated Interference Packet Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alireza Vahid, Robert Calderbank","submitted_at":"2017-10-12T16:14:23Z","abstract_excerpt":"In multi-user wireless packet networks interference, typically modeled as packet collision, is the throughput bottleneck. Users become aware of the interference pattern via feedback and use this information for contention resolution and for packet retransmission. Conventional random access protocols interrupt communication to resolve contention which reduces network throughput and increases latency and power consumption. In this work we take a different approach and we develop opportunistic random access protocols rather than pursuing conventional methods. We allow wireless nodes to communicat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04588","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":"2026-05-18T00:10:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mdVy+bhCkltCB1YXm6kpq80f84l9W0ZID+mYGlw2GgIZb0SsRk5QC0M8XzR8cRXui5DmefTGpwcTix2qw7hBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:55:03.610305Z"},"content_sha256":"b635d4416760ad3ad106ebd6535b4a259c3fd01f762d3520beb10f619880968d","schema_version":"1.0","event_id":"sha256:b635d4416760ad3ad106ebd6535b4a259c3fd01f762d3520beb10f619880968d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/POAVW3PIGQD23HQUD3RDDCNEV3/bundle.json","state_url":"https://pith.science/pith/POAVW3PIGQD23HQUD3RDDCNEV3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/POAVW3PIGQD23HQUD3RDDCNEV3/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":"2026-06-06T16:55:03Z","links":{"resolver":"https://pith.science/pith/POAVW3PIGQD23HQUD3RDDCNEV3","bundle":"https://pith.science/pith/POAVW3PIGQD23HQUD3RDDCNEV3/bundle.json","state":"https://pith.science/pith/POAVW3PIGQD23HQUD3RDDCNEV3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/POAVW3PIGQD23HQUD3RDDCNEV3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:POAVW3PIGQD23HQUD3RDDCNEV3","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":"51b279b000468648f077a5728b41296a45e381ff5ce491d8a57bde5aaeadef65","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-10-12T16:14:23Z","title_canon_sha256":"feaccfe452a28f2e00b852c31dd5b5e00904932aef8c18dd3f9157381d85fa19"},"schema_version":"1.0","source":{"id":"1710.04588","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.04588","created_at":"2026-05-18T00:10:11Z"},{"alias_kind":"arxiv_version","alias_value":"1710.04588v2","created_at":"2026-05-18T00:10:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04588","created_at":"2026-05-18T00:10:11Z"},{"alias_kind":"pith_short_12","alias_value":"POAVW3PIGQD2","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"POAVW3PIGQD23HQU","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"POAVW3PI","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:b635d4416760ad3ad106ebd6535b4a259c3fd01f762d3520beb10f619880968d","target":"graph","created_at":"2026-05-18T00:10:11Z","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":"In multi-user wireless packet networks interference, typically modeled as packet collision, is the throughput bottleneck. Users become aware of the interference pattern via feedback and use this information for contention resolution and for packet retransmission. Conventional random access protocols interrupt communication to resolve contention which reduces network throughput and increases latency and power consumption. In this work we take a different approach and we develop opportunistic random access protocols rather than pursuing conventional methods. We allow wireless nodes to communicat","authors_text":"Alireza Vahid, Robert Calderbank","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-10-12T16:14:23Z","title":"Throughput Region of Spatially Correlated Interference Packet Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04588","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":"sha256:0a5f572a0f1b6554a6d6b552d5681738ca1adac3989efb6a6820cebe2920a188","target":"record","created_at":"2026-05-18T00:10:11Z","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":"51b279b000468648f077a5728b41296a45e381ff5ce491d8a57bde5aaeadef65","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-10-12T16:14:23Z","title_canon_sha256":"feaccfe452a28f2e00b852c31dd5b5e00904932aef8c18dd3f9157381d85fa19"},"schema_version":"1.0","source":{"id":"1710.04588","kind":"arxiv","version":2}},"canonical_sha256":"7b815b6de83407ad9e141ee23189a4aef84300946b2930055791aaebaf882a25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b815b6de83407ad9e141ee23189a4aef84300946b2930055791aaebaf882a25","first_computed_at":"2026-05-18T00:10:11.263888Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:11.263888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hV9SdhIwVVLxWROCtFkP+u5JCx/8aC8nk6abedyrUQE9usAaWiVEUHhdgK718uQBtgH93z8s07EeXZtgE4myBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:11.264599Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.04588","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a5f572a0f1b6554a6d6b552d5681738ca1adac3989efb6a6820cebe2920a188","sha256:b635d4416760ad3ad106ebd6535b4a259c3fd01f762d3520beb10f619880968d"],"state_sha256":"724f98acacb87de138dd1c60753c15c4e1a20116aad43e97dcb3c659c58dcc7e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WLeEpd8+xV6HgWqFnrOtM7txOsWstiki8JQEJ21Yj1qLx3h1qfYyCZ0mZ21YjCL/RYq64hgP4LAA+yfsMkEBAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T16:55:03.613831Z","bundle_sha256":"a8118e8b74a3e0370f1a684b98b47a1bce7e7408c1948db384627794adb898f5"}}