{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:BN6LPRAZ4VW6A3O6PYKYUJTCUO","short_pith_number":"pith:BN6LPRAZ","canonical_record":{"source":{"id":"1102.3607","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.NI","submitted_at":"2011-02-17T15:33:15Z","cross_cats_sorted":[],"title_canon_sha256":"74a95d95e2b6ff4a2f5c7ba0c8c190aca34e965adbb7956ebbeaddef9894ede1","abstract_canon_sha256":"73d430a1b66f9bcfef84729dadc706f94df76b52a560804b3d9a912404ec3945"},"schema_version":"1.0"},"canonical_sha256":"0b7cb7c419e56de06dde7e158a2662a38f21fba5d17ee708573679a8f163e104","source":{"kind":"arxiv","id":"1102.3607","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.3607","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"arxiv_version","alias_value":"1102.3607v1","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3607","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"pith_short_12","alias_value":"BN6LPRAZ4VW6","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BN6LPRAZ4VW6A3O6","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BN6LPRAZ","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:BN6LPRAZ4VW6A3O6PYKYUJTCUO","target":"record","payload":{"canonical_record":{"source":{"id":"1102.3607","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.NI","submitted_at":"2011-02-17T15:33:15Z","cross_cats_sorted":[],"title_canon_sha256":"74a95d95e2b6ff4a2f5c7ba0c8c190aca34e965adbb7956ebbeaddef9894ede1","abstract_canon_sha256":"73d430a1b66f9bcfef84729dadc706f94df76b52a560804b3d9a912404ec3945"},"schema_version":"1.0"},"canonical_sha256":"0b7cb7c419e56de06dde7e158a2662a38f21fba5d17ee708573679a8f163e104","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:28.764443Z","signature_b64":"Bsi8/GV307UEkh++/cHdtwLWj6bKobABypKe83TAw2CO5cCiAnM+CQr/wS9/2OOsWAhGsq1dexOn9t2xE0cADg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b7cb7c419e56de06dde7e158a2662a38f21fba5d17ee708573679a8f163e104","last_reissued_at":"2026-05-18T04:28:28.764039Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:28.764039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.3607","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:28:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M+f7o1Z/hmbMKY7d/K496d757FIdjm37VW+/OiET/QwDGKZ5zRYRLHwx44/haXDPbWl466+gVsBD9iApdG4YDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:05:17.429589Z"},"content_sha256":"6eb1f74b8302ffed0e15abcdf593a5f07bf965b4eabbb575373c92c390eef2b6","schema_version":"1.0","event_id":"sha256:6eb1f74b8302ffed0e15abcdf593a5f07bf965b4eabbb575373c92c390eef2b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:BN6LPRAZ4VW6A3O6PYKYUJTCUO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fairness issues in a chain of IEEE 802.11 stations","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"cs.NI","authors_text":"Bertrand Ducourthial, St\\'ephane Mottelet, Yacine Khaled","submitted_at":"2011-02-17T15:33:15Z","abstract_excerpt":"We study a simple general scenario of ad hoc networks based on IEEE 802.11 wireless communications, consisting in a chain of transmitters, each of them being in the carrier sense area of its neighbors. Each transmitter always attempts to send some data frames to one receiver in its transmission area, forming a pair sender-receiver. This scenario includes the three pairs fairness problem, and allows to study some fairness issues of the IEEE 802.11 medium access mechanism. We show by simulation that interesting phenomena appear, depending on the number n of pairs in the chain and of its parity. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3607","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:28:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4wUb2Al+KVaaanDKhYutlt0gz24bIcXGmPV9eHNUGI3qXhf5iDZJuA4PxkDKhyQ5M+WPdx/7awxWaMHUxejECA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:05:17.429936Z"},"content_sha256":"e900d30c1034b4d6296bd3a4f2b98a1ad7dfccaddd0eac69c0e7129ee541ed67","schema_version":"1.0","event_id":"sha256:e900d30c1034b4d6296bd3a4f2b98a1ad7dfccaddd0eac69c0e7129ee541ed67"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BN6LPRAZ4VW6A3O6PYKYUJTCUO/bundle.json","state_url":"https://pith.science/pith/BN6LPRAZ4VW6A3O6PYKYUJTCUO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BN6LPRAZ4VW6A3O6PYKYUJTCUO/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":"2026-06-26T01:05:17Z","links":{"resolver":"https://pith.science/pith/BN6LPRAZ4VW6A3O6PYKYUJTCUO","bundle":"https://pith.science/pith/BN6LPRAZ4VW6A3O6PYKYUJTCUO/bundle.json","state":"https://pith.science/pith/BN6LPRAZ4VW6A3O6PYKYUJTCUO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BN6LPRAZ4VW6A3O6PYKYUJTCUO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BN6LPRAZ4VW6A3O6PYKYUJTCUO","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":"73d430a1b66f9bcfef84729dadc706f94df76b52a560804b3d9a912404ec3945","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.NI","submitted_at":"2011-02-17T15:33:15Z","title_canon_sha256":"74a95d95e2b6ff4a2f5c7ba0c8c190aca34e965adbb7956ebbeaddef9894ede1"},"schema_version":"1.0","source":{"id":"1102.3607","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.3607","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"arxiv_version","alias_value":"1102.3607v1","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3607","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"pith_short_12","alias_value":"BN6LPRAZ4VW6","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BN6LPRAZ4VW6A3O6","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BN6LPRAZ","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:e900d30c1034b4d6296bd3a4f2b98a1ad7dfccaddd0eac69c0e7129ee541ed67","target":"graph","created_at":"2026-05-18T04:28:28Z","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 study a simple general scenario of ad hoc networks based on IEEE 802.11 wireless communications, consisting in a chain of transmitters, each of them being in the carrier sense area of its neighbors. Each transmitter always attempts to send some data frames to one receiver in its transmission area, forming a pair sender-receiver. This scenario includes the three pairs fairness problem, and allows to study some fairness issues of the IEEE 802.11 medium access mechanism. We show by simulation that interesting phenomena appear, depending on the number n of pairs in the chain and of its parity. ","authors_text":"Bertrand Ducourthial, St\\'ephane Mottelet, Yacine Khaled","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.NI","submitted_at":"2011-02-17T15:33:15Z","title":"Fairness issues in a chain of IEEE 802.11 stations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3607","kind":"arxiv","version":1},"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":"sha256:6eb1f74b8302ffed0e15abcdf593a5f07bf965b4eabbb575373c92c390eef2b6","target":"record","created_at":"2026-05-18T04:28:28Z","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":"73d430a1b66f9bcfef84729dadc706f94df76b52a560804b3d9a912404ec3945","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.NI","submitted_at":"2011-02-17T15:33:15Z","title_canon_sha256":"74a95d95e2b6ff4a2f5c7ba0c8c190aca34e965adbb7956ebbeaddef9894ede1"},"schema_version":"1.0","source":{"id":"1102.3607","kind":"arxiv","version":1}},"canonical_sha256":"0b7cb7c419e56de06dde7e158a2662a38f21fba5d17ee708573679a8f163e104","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b7cb7c419e56de06dde7e158a2662a38f21fba5d17ee708573679a8f163e104","first_computed_at":"2026-05-18T04:28:28.764039Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:28.764039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bsi8/GV307UEkh++/cHdtwLWj6bKobABypKe83TAw2CO5cCiAnM+CQr/wS9/2OOsWAhGsq1dexOn9t2xE0cADg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:28.764443Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.3607","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6eb1f74b8302ffed0e15abcdf593a5f07bf965b4eabbb575373c92c390eef2b6","sha256:e900d30c1034b4d6296bd3a4f2b98a1ad7dfccaddd0eac69c0e7129ee541ed67"],"state_sha256":"0da76d4390f4788115cc252c6eee49eaf00ef44fc9080412333ecf9a53cf3472"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"plVIMsaHQ+/I7OeZlmU3erCv6uoGrvdXwbRtatIdIKQ2BzwQAzB5if03nQ/iw8xglf6BnPVkQbso4WvpXIzqCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T01:05:17.431983Z","bundle_sha256":"23f8a02dc27f95004aea2c3d7df880f63e98c0ff6da112940f2fe63846d2e108"}}