{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:K46XTEVS7WFZCC5DZ5OVQTFCEF","short_pith_number":"pith:K46XTEVS","canonical_record":{"source":{"id":"1610.09182","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-28T12:10:28Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"cd82acf9962cd02e22d3e06bd645f91e487f6cb11311bd1652b0baa56128f3e7","abstract_canon_sha256":"93f1c75d1a634ccf699d61f7f672e033b52da7a3e22b1812d18f99db9870c47e"},"schema_version":"1.0"},"canonical_sha256":"573d7992b2fd8b910ba3cf5d584ca22171bfe35918ce22481c54ee710933a280","source":{"kind":"arxiv","id":"1610.09182","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09182","created_at":"2026-05-18T00:57:37Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09182v4","created_at":"2026-05-18T00:57:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09182","created_at":"2026-05-18T00:57:37Z"},{"alias_kind":"pith_short_12","alias_value":"K46XTEVS7WFZ","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"K46XTEVS7WFZCC5D","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"K46XTEVS","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:K46XTEVS7WFZCC5DZ5OVQTFCEF","target":"record","payload":{"canonical_record":{"source":{"id":"1610.09182","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-28T12:10:28Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"cd82acf9962cd02e22d3e06bd645f91e487f6cb11311bd1652b0baa56128f3e7","abstract_canon_sha256":"93f1c75d1a634ccf699d61f7f672e033b52da7a3e22b1812d18f99db9870c47e"},"schema_version":"1.0"},"canonical_sha256":"573d7992b2fd8b910ba3cf5d584ca22171bfe35918ce22481c54ee710933a280","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:37.199732Z","signature_b64":"DV3ewuj7nmeUtbNKVFVkWXgkp8d9imwFYyV5pVDyMAMGhFCXPAvYZPATOskUhgy28wQOd2v9LsuLwgZ1f1UsCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"573d7992b2fd8b910ba3cf5d584ca22171bfe35918ce22481c54ee710933a280","last_reissued_at":"2026-05-18T00:57:37.199033Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:37.199033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.09182","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:57:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z9VuqMkkI9KUn07s0OaAKo/dosmEG0i7Nz2kOI0eaVLfAri7QFEMT8GEmcjME6RSxC8mHoDi1UMnsqTNPxNVAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:40:56.598421Z"},"content_sha256":"8e78da2378ee5513aeb25c1e2990b63e0667f3ae319040a03b9f89a38a658aef","schema_version":"1.0","event_id":"sha256:8e78da2378ee5513aeb25c1e2990b63e0667f3ae319040a03b9f89a38a658aef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:K46XTEVS7WFZCC5DZ5OVQTFCEF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite-Length Analysis of Frameless ALOHA","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Francisco L\\'azaro, \\v{C}edomir Stefanovi\\'c","submitted_at":"2016-10-28T12:10:28Z","abstract_excerpt":"In this paper we present an exact finite-length analysis of frameless ALOHA that is obtained through a dynamical programming approach. Monte Carlo simulations are performed in order to verify the analysis. Two examples are provided that illustrate how the analysis can be used to optimize the parameters of frameless ALOHA. To the best of the knowledge of the authors, this is the first contribution dealing with an exact finite-length characterization of a protocol from the coded slotted ALOHA family of protocols."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09182","kind":"arxiv","version":4},"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":"2026-05-18T00:57:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZFG2g0SAm4DUrTzLzyv0a6IW+mFQpSQ3LQd1WkehRx64VABc2c6HrzzNh+pV6EXhbOMo1/yd3JttAj343fHcBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:40:56.598771Z"},"content_sha256":"68e04db0ddd9859e1bd99e0ea1e0c8e117bd1b765c9ce4fcff3fa954f2dc25ea","schema_version":"1.0","event_id":"sha256:68e04db0ddd9859e1bd99e0ea1e0c8e117bd1b765c9ce4fcff3fa954f2dc25ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K46XTEVS7WFZCC5DZ5OVQTFCEF/bundle.json","state_url":"https://pith.science/pith/K46XTEVS7WFZCC5DZ5OVQTFCEF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K46XTEVS7WFZCC5DZ5OVQTFCEF/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":"2026-06-23T17:40:56Z","links":{"resolver":"https://pith.science/pith/K46XTEVS7WFZCC5DZ5OVQTFCEF","bundle":"https://pith.science/pith/K46XTEVS7WFZCC5DZ5OVQTFCEF/bundle.json","state":"https://pith.science/pith/K46XTEVS7WFZCC5DZ5OVQTFCEF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K46XTEVS7WFZCC5DZ5OVQTFCEF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:K46XTEVS7WFZCC5DZ5OVQTFCEF","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":"93f1c75d1a634ccf699d61f7f672e033b52da7a3e22b1812d18f99db9870c47e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-28T12:10:28Z","title_canon_sha256":"cd82acf9962cd02e22d3e06bd645f91e487f6cb11311bd1652b0baa56128f3e7"},"schema_version":"1.0","source":{"id":"1610.09182","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09182","created_at":"2026-05-18T00:57:37Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09182v4","created_at":"2026-05-18T00:57:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09182","created_at":"2026-05-18T00:57:37Z"},{"alias_kind":"pith_short_12","alias_value":"K46XTEVS7WFZ","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"K46XTEVS7WFZCC5D","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"K46XTEVS","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:68e04db0ddd9859e1bd99e0ea1e0c8e117bd1b765c9ce4fcff3fa954f2dc25ea","target":"graph","created_at":"2026-05-18T00:57:37Z","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 this paper we present an exact finite-length analysis of frameless ALOHA that is obtained through a dynamical programming approach. Monte Carlo simulations are performed in order to verify the analysis. Two examples are provided that illustrate how the analysis can be used to optimize the parameters of frameless ALOHA. To the best of the knowledge of the authors, this is the first contribution dealing with an exact finite-length characterization of a protocol from the coded slotted ALOHA family of protocols.","authors_text":"Francisco L\\'azaro, \\v{C}edomir Stefanovi\\'c","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-28T12:10:28Z","title":"Finite-Length Analysis of Frameless ALOHA"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09182","kind":"arxiv","version":4},"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":"sha256:8e78da2378ee5513aeb25c1e2990b63e0667f3ae319040a03b9f89a38a658aef","target":"record","created_at":"2026-05-18T00:57:37Z","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":"93f1c75d1a634ccf699d61f7f672e033b52da7a3e22b1812d18f99db9870c47e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-28T12:10:28Z","title_canon_sha256":"cd82acf9962cd02e22d3e06bd645f91e487f6cb11311bd1652b0baa56128f3e7"},"schema_version":"1.0","source":{"id":"1610.09182","kind":"arxiv","version":4}},"canonical_sha256":"573d7992b2fd8b910ba3cf5d584ca22171bfe35918ce22481c54ee710933a280","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"573d7992b2fd8b910ba3cf5d584ca22171bfe35918ce22481c54ee710933a280","first_computed_at":"2026-05-18T00:57:37.199033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:37.199033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DV3ewuj7nmeUtbNKVFVkWXgkp8d9imwFYyV5pVDyMAMGhFCXPAvYZPATOskUhgy28wQOd2v9LsuLwgZ1f1UsCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:37.199732Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09182","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e78da2378ee5513aeb25c1e2990b63e0667f3ae319040a03b9f89a38a658aef","sha256:68e04db0ddd9859e1bd99e0ea1e0c8e117bd1b765c9ce4fcff3fa954f2dc25ea"],"state_sha256":"da7e0a0136bd7c22340a18a6d7bd8ef4f29edc928c7da0f715444a48b106cc81"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XB9CZQe1rp47FmST4x19/raUYYlc3IS41uUqHtpmTN7Oyk8qRKGxmof/T+o/RL0qf5wD6MzHJNNAlevgK1YSCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T17:40:56.600711Z","bundle_sha256":"e3f3d292809c662a22a0a7246b35108c8541a23bb1f183785ff969572e2f0fc1"}}