{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:CO3YY7S3X5U5BQSALRHD2UXCNR","short_pith_number":"pith:CO3YY7S3","canonical_record":{"source":{"id":"1102.5739","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2011-02-28T18:54:33Z","cross_cats_sorted":[],"title_canon_sha256":"fc2d49b19fd22584390bd1b0b6cefa524408e1b2ead78faa6addd6bcc3bb4956","abstract_canon_sha256":"f1f2c35e010f8375f922b73c0730e7017cfd4e243491896f17836ec6deb886e9"},"schema_version":"1.0"},"canonical_sha256":"13b78c7e5bbf69d0c2405c4e3d52e26c71522859183ea31ca45902d0f9ebc973","source":{"kind":"arxiv","id":"1102.5739","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.5739","created_at":"2026-05-18T01:04:58Z"},{"alias_kind":"arxiv_version","alias_value":"1102.5739v2","created_at":"2026-05-18T01:04:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.5739","created_at":"2026-05-18T01:04:58Z"},{"alias_kind":"pith_short_12","alias_value":"CO3YY7S3X5U5","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CO3YY7S3X5U5BQSA","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CO3YY7S3","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:CO3YY7S3X5U5BQSALRHD2UXCNR","target":"record","payload":{"canonical_record":{"source":{"id":"1102.5739","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2011-02-28T18:54:33Z","cross_cats_sorted":[],"title_canon_sha256":"fc2d49b19fd22584390bd1b0b6cefa524408e1b2ead78faa6addd6bcc3bb4956","abstract_canon_sha256":"f1f2c35e010f8375f922b73c0730e7017cfd4e243491896f17836ec6deb886e9"},"schema_version":"1.0"},"canonical_sha256":"13b78c7e5bbf69d0c2405c4e3d52e26c71522859183ea31ca45902d0f9ebc973","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:58.353419Z","signature_b64":"nc2ewibLGw0+Qc0N4QJ979wk88YcMfPSK3M4CmxflEb+DbPuOU1vYlMKcPK83+g4ar0/EGfIMCaWjHn0EswDAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13b78c7e5bbf69d0c2405c4e3d52e26c71522859183ea31ca45902d0f9ebc973","last_reissued_at":"2026-05-18T01:04:58.352791Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:58.352791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.5739","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":"2026-05-18T01:04:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xehsQLCEVivEdhg4cKtf+4n6+U0PVa4fU+VuzB3hy7iL68JxCR11lXeypnRWkqSVe8OqcHkTuzRTGJkpAIrfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T16:17:46.638287Z"},"content_sha256":"accf5378355822e5788aae0ad0209fa1111b0fcd295b6ec1e0c3cda21cdba9b1","schema_version":"1.0","event_id":"sha256:accf5378355822e5788aae0ad0209fa1111b0fcd295b6ec1e0c3cda21cdba9b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:CO3YY7S3X5U5BQSALRHD2UXCNR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Random 1/2-Disk Routing Scheme in Wireless Ad Hoc Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NI","authors_text":"Armin Banaei, Costas N. Georghiades, Daren B.H. Cline, Shuguang Cui","submitted_at":"2011-02-28T18:54:33Z","abstract_excerpt":"Random 1/2-disk routing in wireless ad-hoc networks is a localized geometric routing scheme in which each node chooses the next relay randomly among the nodes within its transmission range and in the general direction of the destination. We introduce a notion of convergence for geometric routing schemes that not only considers the feasibility of packet delivery through possibly multi-hop relaying, but also requires the packet delivery to occur in a finite number of hops. We derive sufficient conditions that ensure the asymptotic \\emph{convergence} of the random 1/2-disk routing scheme based on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.5739","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":"2026-05-18T01:04:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iy1Xho6gifY5hzYFb03JHwAHqAZVVdNsStCUQhLl8WePRBhcJ3J74wjvvPrWDpc3wghoOfwlVixCUFP4cfx0CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T16:17:46.638649Z"},"content_sha256":"fa76434131bf8f4afa582447de86d717c8146a5e145300d5545f2d44edd82a97","schema_version":"1.0","event_id":"sha256:fa76434131bf8f4afa582447de86d717c8146a5e145300d5545f2d44edd82a97"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CO3YY7S3X5U5BQSALRHD2UXCNR/bundle.json","state_url":"https://pith.science/pith/CO3YY7S3X5U5BQSALRHD2UXCNR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CO3YY7S3X5U5BQSALRHD2UXCNR/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":"2026-07-03T16:17:46Z","links":{"resolver":"https://pith.science/pith/CO3YY7S3X5U5BQSALRHD2UXCNR","bundle":"https://pith.science/pith/CO3YY7S3X5U5BQSALRHD2UXCNR/bundle.json","state":"https://pith.science/pith/CO3YY7S3X5U5BQSALRHD2UXCNR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CO3YY7S3X5U5BQSALRHD2UXCNR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CO3YY7S3X5U5BQSALRHD2UXCNR","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":"f1f2c35e010f8375f922b73c0730e7017cfd4e243491896f17836ec6deb886e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2011-02-28T18:54:33Z","title_canon_sha256":"fc2d49b19fd22584390bd1b0b6cefa524408e1b2ead78faa6addd6bcc3bb4956"},"schema_version":"1.0","source":{"id":"1102.5739","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.5739","created_at":"2026-05-18T01:04:58Z"},{"alias_kind":"arxiv_version","alias_value":"1102.5739v2","created_at":"2026-05-18T01:04:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.5739","created_at":"2026-05-18T01:04:58Z"},{"alias_kind":"pith_short_12","alias_value":"CO3YY7S3X5U5","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CO3YY7S3X5U5BQSA","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CO3YY7S3","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:fa76434131bf8f4afa582447de86d717c8146a5e145300d5545f2d44edd82a97","target":"graph","created_at":"2026-05-18T01:04:58Z","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":"Random 1/2-disk routing in wireless ad-hoc networks is a localized geometric routing scheme in which each node chooses the next relay randomly among the nodes within its transmission range and in the general direction of the destination. We introduce a notion of convergence for geometric routing schemes that not only considers the feasibility of packet delivery through possibly multi-hop relaying, but also requires the packet delivery to occur in a finite number of hops. We derive sufficient conditions that ensure the asymptotic \\emph{convergence} of the random 1/2-disk routing scheme based on","authors_text":"Armin Banaei, Costas N. Georghiades, Daren B.H. Cline, Shuguang Cui","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2011-02-28T18:54:33Z","title":"On the Random 1/2-Disk Routing Scheme in Wireless Ad Hoc Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.5739","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:accf5378355822e5788aae0ad0209fa1111b0fcd295b6ec1e0c3cda21cdba9b1","target":"record","created_at":"2026-05-18T01:04:58Z","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":"f1f2c35e010f8375f922b73c0730e7017cfd4e243491896f17836ec6deb886e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2011-02-28T18:54:33Z","title_canon_sha256":"fc2d49b19fd22584390bd1b0b6cefa524408e1b2ead78faa6addd6bcc3bb4956"},"schema_version":"1.0","source":{"id":"1102.5739","kind":"arxiv","version":2}},"canonical_sha256":"13b78c7e5bbf69d0c2405c4e3d52e26c71522859183ea31ca45902d0f9ebc973","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13b78c7e5bbf69d0c2405c4e3d52e26c71522859183ea31ca45902d0f9ebc973","first_computed_at":"2026-05-18T01:04:58.352791Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:58.352791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nc2ewibLGw0+Qc0N4QJ979wk88YcMfPSK3M4CmxflEb+DbPuOU1vYlMKcPK83+g4ar0/EGfIMCaWjHn0EswDAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:58.353419Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.5739","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:accf5378355822e5788aae0ad0209fa1111b0fcd295b6ec1e0c3cda21cdba9b1","sha256:fa76434131bf8f4afa582447de86d717c8146a5e145300d5545f2d44edd82a97"],"state_sha256":"77975832850670fa033353aacbfd4b8b5557ce81d6f598affe5f2a46a470ee36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"24RaZ2qDHs1sjWzIWDcgbtvA8Jkc49m4SHTTaqwpFrlvfpKPlJ0Tm0o6yVyvP6ycd+PrrpaMevhqk1W42N8EDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T16:17:46.640601Z","bundle_sha256":"4ad84ea631792a3d9e12df405fdda86f527f0a110b7ee8bc933dc47e6b5bee67"}}