{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YTVOK2DPTSDFTTUFSZ765LZK6J","short_pith_number":"pith:YTVOK2DP","canonical_record":{"source":{"id":"1604.06293","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-21T13:18:17Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4dd35bc59f46a0cae70fce54eaf43c9cd28baccdba2a6958e86338cd64c09f94","abstract_canon_sha256":"c87d99e345e8c7a4600531e82efc5b2eb236595dd72c3bdf5e8b89a796bfa3d6"},"schema_version":"1.0"},"canonical_sha256":"c4eae5686f9c8659ce85967feeaf2af27c8971542c75c14f702606f876c0b3be","source":{"kind":"arxiv","id":"1604.06293","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06293","created_at":"2026-05-18T01:12:29Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06293v2","created_at":"2026-05-18T01:12:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06293","created_at":"2026-05-18T01:12:29Z"},{"alias_kind":"pith_short_12","alias_value":"YTVOK2DPTSDF","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YTVOK2DPTSDFTTUF","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YTVOK2DP","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YTVOK2DPTSDFTTUFSZ765LZK6J","target":"record","payload":{"canonical_record":{"source":{"id":"1604.06293","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-21T13:18:17Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4dd35bc59f46a0cae70fce54eaf43c9cd28baccdba2a6958e86338cd64c09f94","abstract_canon_sha256":"c87d99e345e8c7a4600531e82efc5b2eb236595dd72c3bdf5e8b89a796bfa3d6"},"schema_version":"1.0"},"canonical_sha256":"c4eae5686f9c8659ce85967feeaf2af27c8971542c75c14f702606f876c0b3be","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:29.437444Z","signature_b64":"YH3uCV1teT9y2Mrx03Is6ixYkcLHjT/OIuOhcGrqwLVUvnzZ1ROrsaeP6DoSHvZDwr2ZyJfIHcf+B38HslFxBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4eae5686f9c8659ce85967feeaf2af27c8971542c75c14f702606f876c0b3be","last_reissued_at":"2026-05-18T01:12:29.437088Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:29.437088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.06293","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":"2026-05-18T01:12:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P6HfLkcpRLnT0lEXAIRGt/RivXJko1BCZb7rSEq72XOMzSw68/bmm/Uy9IsR0ZgUDlO3PaYxvYS5eZYkeVjXDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:45:18.075498Z"},"content_sha256":"8a0d4333e8ce7f154912379c32229be5eda267737df7add5d02c8291d069df97","schema_version":"1.0","event_id":"sha256:8a0d4333e8ce7f154912379c32229be5eda267737df7add5d02c8291d069df97"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YTVOK2DPTSDFTTUFSZ765LZK6J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotic and Finite Frame Length Analysis of Frame Asynchronous Coded Slotted ALOHA","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alexandre Graell i Amat, Erik Sandgren, Fredrik Br\\\"annstr\\\"om","submitted_at":"2016-04-21T13:18:17Z","abstract_excerpt":"We consider a frame-asynchronous coded slotted ALOHA (FA-CSA) system where users become active according to a Poisson random process. In contrast to standard frame-synchronous CSA (FS-CSA), users transmit a first replica of their message in the slot following their activation and other replicas uniformly at random in a number of subsequent slots. We derive the (approximate) density evolution that characterizes the asymptotic performance of FA-CSA when the frame length goes to infinity. We show that, if users can monitor the system before they start transmitting, a boundary-effect similar to th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06293","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":"2026-05-18T01:12:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s37G9G5td83Eh2iQjt9OVlUTqDJ5OcHFNRbGTL5uRge7JzE6kb5BIxto/1QNRH/BuA1/gYH+rvCDDYuqelA0Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:45:18.075861Z"},"content_sha256":"3e26419a07ae80955653b43651b218284e2795a76b5ad5a0df10385524a69454","schema_version":"1.0","event_id":"sha256:3e26419a07ae80955653b43651b218284e2795a76b5ad5a0df10385524a69454"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YTVOK2DPTSDFTTUFSZ765LZK6J/bundle.json","state_url":"https://pith.science/pith/YTVOK2DPTSDFTTUFSZ765LZK6J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YTVOK2DPTSDFTTUFSZ765LZK6J/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":"2026-05-28T13:45:18Z","links":{"resolver":"https://pith.science/pith/YTVOK2DPTSDFTTUFSZ765LZK6J","bundle":"https://pith.science/pith/YTVOK2DPTSDFTTUFSZ765LZK6J/bundle.json","state":"https://pith.science/pith/YTVOK2DPTSDFTTUFSZ765LZK6J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YTVOK2DPTSDFTTUFSZ765LZK6J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YTVOK2DPTSDFTTUFSZ765LZK6J","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":"c87d99e345e8c7a4600531e82efc5b2eb236595dd72c3bdf5e8b89a796bfa3d6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-21T13:18:17Z","title_canon_sha256":"4dd35bc59f46a0cae70fce54eaf43c9cd28baccdba2a6958e86338cd64c09f94"},"schema_version":"1.0","source":{"id":"1604.06293","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06293","created_at":"2026-05-18T01:12:29Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06293v2","created_at":"2026-05-18T01:12:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06293","created_at":"2026-05-18T01:12:29Z"},{"alias_kind":"pith_short_12","alias_value":"YTVOK2DPTSDF","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YTVOK2DPTSDFTTUF","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YTVOK2DP","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:3e26419a07ae80955653b43651b218284e2795a76b5ad5a0df10385524a69454","target":"graph","created_at":"2026-05-18T01:12:29Z","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 consider a frame-asynchronous coded slotted ALOHA (FA-CSA) system where users become active according to a Poisson random process. In contrast to standard frame-synchronous CSA (FS-CSA), users transmit a first replica of their message in the slot following their activation and other replicas uniformly at random in a number of subsequent slots. We derive the (approximate) density evolution that characterizes the asymptotic performance of FA-CSA when the frame length goes to infinity. We show that, if users can monitor the system before they start transmitting, a boundary-effect similar to th","authors_text":"Alexandre Graell i Amat, Erik Sandgren, Fredrik Br\\\"annstr\\\"om","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-21T13:18:17Z","title":"Asymptotic and Finite Frame Length Analysis of Frame Asynchronous Coded Slotted ALOHA"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06293","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":"sha256:8a0d4333e8ce7f154912379c32229be5eda267737df7add5d02c8291d069df97","target":"record","created_at":"2026-05-18T01:12:29Z","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":"c87d99e345e8c7a4600531e82efc5b2eb236595dd72c3bdf5e8b89a796bfa3d6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-21T13:18:17Z","title_canon_sha256":"4dd35bc59f46a0cae70fce54eaf43c9cd28baccdba2a6958e86338cd64c09f94"},"schema_version":"1.0","source":{"id":"1604.06293","kind":"arxiv","version":2}},"canonical_sha256":"c4eae5686f9c8659ce85967feeaf2af27c8971542c75c14f702606f876c0b3be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4eae5686f9c8659ce85967feeaf2af27c8971542c75c14f702606f876c0b3be","first_computed_at":"2026-05-18T01:12:29.437088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:29.437088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YH3uCV1teT9y2Mrx03Is6ixYkcLHjT/OIuOhcGrqwLVUvnzZ1ROrsaeP6DoSHvZDwr2ZyJfIHcf+B38HslFxBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:29.437444Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06293","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a0d4333e8ce7f154912379c32229be5eda267737df7add5d02c8291d069df97","sha256:3e26419a07ae80955653b43651b218284e2795a76b5ad5a0df10385524a69454"],"state_sha256":"c8fcac363ead01668d439a15465585064eb0f3857eb0aca27b5ba8266a94c4b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"746yEUr3AZZG/CWfeM30wLQ3TmzSMh9DWT+aURpAd64J9ydLbVS4BKRtaR2ZowcAx/YZNJpJCbPXoDApNS20BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T13:45:18.077994Z","bundle_sha256":"76bfe4ec0af9940231bccb14c838126649bfa81f9ec200959c662de0270b1da1"}}