{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:DFNY4OTPVUCNDJOH33HQ6ZQ6DT","short_pith_number":"pith:DFNY4OTP","canonical_record":{"source":{"id":"1501.00381","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-02T11:05:50Z","cross_cats_sorted":["math.IT","math.PR"],"title_canon_sha256":"a3693ef78d044ce0b7d0896b6ae174264d5cbdfe90b87092bb02294c9a1dd02e","abstract_canon_sha256":"8c853ae7355b1a478b92ad49f891d7a1b835603ef503fa5f222a57f146e2af2e"},"schema_version":"1.0"},"canonical_sha256":"195b8e3a6fad04d1a5c7decf0f661e1cdf3509c4cab095d0d6c554cbc148ba09","source":{"kind":"arxiv","id":"1501.00381","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.00381","created_at":"2026-05-18T01:25:47Z"},{"alias_kind":"arxiv_version","alias_value":"1501.00381v2","created_at":"2026-05-18T01:25:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00381","created_at":"2026-05-18T01:25:47Z"},{"alias_kind":"pith_short_12","alias_value":"DFNY4OTPVUCN","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DFNY4OTPVUCNDJOH","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DFNY4OTP","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:DFNY4OTPVUCNDJOH33HQ6ZQ6DT","target":"record","payload":{"canonical_record":{"source":{"id":"1501.00381","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-02T11:05:50Z","cross_cats_sorted":["math.IT","math.PR"],"title_canon_sha256":"a3693ef78d044ce0b7d0896b6ae174264d5cbdfe90b87092bb02294c9a1dd02e","abstract_canon_sha256":"8c853ae7355b1a478b92ad49f891d7a1b835603ef503fa5f222a57f146e2af2e"},"schema_version":"1.0"},"canonical_sha256":"195b8e3a6fad04d1a5c7decf0f661e1cdf3509c4cab095d0d6c554cbc148ba09","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:47.358308Z","signature_b64":"fgEin9qK5t+1EtHAjqaIjyIkKD2DrKLf4uYmqHrvCih+i3vcVW5VS17sSx4JPc5dZlLZ2SzgI6k1JykhpWZLCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"195b8e3a6fad04d1a5c7decf0f661e1cdf3509c4cab095d0d6c554cbc148ba09","last_reissued_at":"2026-05-18T01:25:47.357904Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:47.357904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.00381","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":"2026-05-18T01:25:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J2UtfuS5TydbDWHcSpwIO/R3mK6qXKCFMPWxecv/vhvaliT/fNKhzyCeP4QhnhfcRvFdrM2wpvfY0pLz5lwrCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T22:29:46.089566Z"},"content_sha256":"793a140375e7c4ad6dcf7e57f7ecfac50e9d34059ceaf2636f3cad78496315de","schema_version":"1.0","event_id":"sha256:793a140375e7c4ad6dcf7e57f7ecfac50e9d34059ceaf2636f3cad78496315de"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:DFNY4OTPVUCNDJOH33HQ6ZQ6DT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Achieving Non-Zero Information Velocity in Wireless Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.PR"],"primary_cat":"cs.IT","authors_text":"Rahul Vaze, Srikanth K. Iyer","submitted_at":"2015-01-02T11:05:50Z","abstract_excerpt":"In wireless networks, where each node transmits independently of other nodes in the network (the ALOHA protocol), the expected delay experienced by a packet until it is successfully received at any other node is known to be infinite for signal-to-interference-plus-noise-ratio (SINR) model with node locations distributed according to a Poisson point process. Consequently, the information velocity, defined as the limit of the ratio of the distance to the destination and the time taken for a packet to successfully reach the destination over multiple hops, is zero, as the distance tends to infinit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00381","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":"2026-05-18T01:25:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hLsdve5VQrbOLxDIN0jVewiCCOuK6fFQ9DtejKSVp8nLdXLrgQrJ9wCBv1RjSndpBOZGdeNgVE3UduHzYVhKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T22:29:46.089909Z"},"content_sha256":"3f79a6fbef961fefab2971111a80500eea5c09a7cee6a6e31efc3720f8f76a7d","schema_version":"1.0","event_id":"sha256:3f79a6fbef961fefab2971111a80500eea5c09a7cee6a6e31efc3720f8f76a7d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DFNY4OTPVUCNDJOH33HQ6ZQ6DT/bundle.json","state_url":"https://pith.science/pith/DFNY4OTPVUCNDJOH33HQ6ZQ6DT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DFNY4OTPVUCNDJOH33HQ6ZQ6DT/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":"2026-06-22T22:29:46Z","links":{"resolver":"https://pith.science/pith/DFNY4OTPVUCNDJOH33HQ6ZQ6DT","bundle":"https://pith.science/pith/DFNY4OTPVUCNDJOH33HQ6ZQ6DT/bundle.json","state":"https://pith.science/pith/DFNY4OTPVUCNDJOH33HQ6ZQ6DT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DFNY4OTPVUCNDJOH33HQ6ZQ6DT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DFNY4OTPVUCNDJOH33HQ6ZQ6DT","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":"8c853ae7355b1a478b92ad49f891d7a1b835603ef503fa5f222a57f146e2af2e","cross_cats_sorted":["math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-02T11:05:50Z","title_canon_sha256":"a3693ef78d044ce0b7d0896b6ae174264d5cbdfe90b87092bb02294c9a1dd02e"},"schema_version":"1.0","source":{"id":"1501.00381","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.00381","created_at":"2026-05-18T01:25:47Z"},{"alias_kind":"arxiv_version","alias_value":"1501.00381v2","created_at":"2026-05-18T01:25:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00381","created_at":"2026-05-18T01:25:47Z"},{"alias_kind":"pith_short_12","alias_value":"DFNY4OTPVUCN","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DFNY4OTPVUCNDJOH","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DFNY4OTP","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:3f79a6fbef961fefab2971111a80500eea5c09a7cee6a6e31efc3720f8f76a7d","target":"graph","created_at":"2026-05-18T01:25:47Z","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 wireless networks, where each node transmits independently of other nodes in the network (the ALOHA protocol), the expected delay experienced by a packet until it is successfully received at any other node is known to be infinite for signal-to-interference-plus-noise-ratio (SINR) model with node locations distributed according to a Poisson point process. Consequently, the information velocity, defined as the limit of the ratio of the distance to the destination and the time taken for a packet to successfully reach the destination over multiple hops, is zero, as the distance tends to infinit","authors_text":"Rahul Vaze, Srikanth K. Iyer","cross_cats":["math.IT","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-02T11:05:50Z","title":"Achieving Non-Zero Information Velocity in Wireless Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00381","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":"sha256:793a140375e7c4ad6dcf7e57f7ecfac50e9d34059ceaf2636f3cad78496315de","target":"record","created_at":"2026-05-18T01:25:47Z","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":"8c853ae7355b1a478b92ad49f891d7a1b835603ef503fa5f222a57f146e2af2e","cross_cats_sorted":["math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-02T11:05:50Z","title_canon_sha256":"a3693ef78d044ce0b7d0896b6ae174264d5cbdfe90b87092bb02294c9a1dd02e"},"schema_version":"1.0","source":{"id":"1501.00381","kind":"arxiv","version":2}},"canonical_sha256":"195b8e3a6fad04d1a5c7decf0f661e1cdf3509c4cab095d0d6c554cbc148ba09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"195b8e3a6fad04d1a5c7decf0f661e1cdf3509c4cab095d0d6c554cbc148ba09","first_computed_at":"2026-05-18T01:25:47.357904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:47.357904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fgEin9qK5t+1EtHAjqaIjyIkKD2DrKLf4uYmqHrvCih+i3vcVW5VS17sSx4JPc5dZlLZ2SzgI6k1JykhpWZLCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:47.358308Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.00381","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:793a140375e7c4ad6dcf7e57f7ecfac50e9d34059ceaf2636f3cad78496315de","sha256:3f79a6fbef961fefab2971111a80500eea5c09a7cee6a6e31efc3720f8f76a7d"],"state_sha256":"2d754a57752c6fd7d2fabb4645e39bfc50fba6849a8838489aae7a792d0cd0a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4bXkAlz1K9JQyCASG84fr6VJCQ3wLt5Xsu8pOWKLQJ9fewjwONxFoj1gK04F36iWsQF3sUdWVpkBfS6tVfpTAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T22:29:46.091779Z","bundle_sha256":"0e6255cbf2d61400cd63a7948276c4c9644ef9bddae036892abdc5c5c42cf4fc"}}