{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:OUI56W66JYPJTT6676JOVBZMTB","short_pith_number":"pith:OUI56W66","schema_version":"1.0","canonical_sha256":"7511df5bde4e1e99cfdeff92ea872c984b9b7c038775e32e09e3c161cbadd0be","source":{"kind":"arxiv","id":"1002.1629","version":1},"attestation_state":"computed","paper":{"title":"Stochastic Analysis of Non-slotted Aloha in Wireless Ad-Hoc Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"cs.NI","authors_text":"Bartek Blaszczyszyn (INRIA Rocquencourt), Paul Muhlethaler (INRIA Rocquencourt)","submitted_at":"2010-02-08T15:21:20Z","abstract_excerpt":"In this paper we propose two analytically tractable stochastic models of non-slotted Aloha for Mobile Ad-hoc NETworks (MANETs): one model assumes a static pattern of nodes while the other assumes that the pattern of nodes varies over time. Both models feature transmitters randomly located in the Euclidean plane, according to a Poisson point process with the receivers randomly located at a fixed distance from the emitters. We concentrate on the so-called outage scenario, where a successful transmission requires a Signal-to-Interference-and-Noise Ratio (SINR) larger than a given threshold. With "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1002.1629","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2010-02-08T15:21:20Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"75d564815f65dc25c9708b70a5f543006efa4c52eaf82388e941c9a77f29fcc5","abstract_canon_sha256":"b565f214e046e29a06032de44df952a9ded4131d1fd747feb0d39bf4150abcea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:17.214867Z","signature_b64":"vqihy6f1ZXGSR975KPbmTcfhQc2U/YHExo2HfNOt/fwgIIeQffFHxIg0CuOtuzmanpSN2vZfGujNDyJNZvOFAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7511df5bde4e1e99cfdeff92ea872c984b9b7c038775e32e09e3c161cbadd0be","last_reissued_at":"2026-05-18T04:38:17.214369Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:17.214369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic Analysis of Non-slotted Aloha in Wireless Ad-Hoc Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"cs.NI","authors_text":"Bartek Blaszczyszyn (INRIA Rocquencourt), Paul Muhlethaler (INRIA Rocquencourt)","submitted_at":"2010-02-08T15:21:20Z","abstract_excerpt":"In this paper we propose two analytically tractable stochastic models of non-slotted Aloha for Mobile Ad-hoc NETworks (MANETs): one model assumes a static pattern of nodes while the other assumes that the pattern of nodes varies over time. Both models feature transmitters randomly located in the Euclidean plane, according to a Poisson point process with the receivers randomly located at a fixed distance from the emitters. We concentrate on the so-called outage scenario, where a successful transmission requires a Signal-to-Interference-and-Noise Ratio (SINR) larger than a given threshold. With "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.1629","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1002.1629","created_at":"2026-05-18T04:38:17.214449+00:00"},{"alias_kind":"arxiv_version","alias_value":"1002.1629v1","created_at":"2026-05-18T04:38:17.214449+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.1629","created_at":"2026-05-18T04:38:17.214449+00:00"},{"alias_kind":"pith_short_12","alias_value":"OUI56W66JYPJ","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"OUI56W66JYPJTT66","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"OUI56W66","created_at":"2026-05-18T12:26:12.377268+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OUI56W66JYPJTT6676JOVBZMTB","json":"https://pith.science/pith/OUI56W66JYPJTT6676JOVBZMTB.json","graph_json":"https://pith.science/api/pith-number/OUI56W66JYPJTT6676JOVBZMTB/graph.json","events_json":"https://pith.science/api/pith-number/OUI56W66JYPJTT6676JOVBZMTB/events.json","paper":"https://pith.science/paper/OUI56W66"},"agent_actions":{"view_html":"https://pith.science/pith/OUI56W66JYPJTT6676JOVBZMTB","download_json":"https://pith.science/pith/OUI56W66JYPJTT6676JOVBZMTB.json","view_paper":"https://pith.science/paper/OUI56W66","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1002.1629&json=true","fetch_graph":"https://pith.science/api/pith-number/OUI56W66JYPJTT6676JOVBZMTB/graph.json","fetch_events":"https://pith.science/api/pith-number/OUI56W66JYPJTT6676JOVBZMTB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OUI56W66JYPJTT6676JOVBZMTB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OUI56W66JYPJTT6676JOVBZMTB/action/storage_attestation","attest_author":"https://pith.science/pith/OUI56W66JYPJTT6676JOVBZMTB/action/author_attestation","sign_citation":"https://pith.science/pith/OUI56W66JYPJTT6676JOVBZMTB/action/citation_signature","submit_replication":"https://pith.science/pith/OUI56W66JYPJTT6676JOVBZMTB/action/replication_record"}},"created_at":"2026-05-18T04:38:17.214449+00:00","updated_at":"2026-05-18T04:38:17.214449+00:00"}