{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:7NOUEDC6JOVIHOHKENUYSGMZI2","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":"96188210174729eafaf0b562e91431177862dc40362bb6762de134bf76858978","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2007-12-14T21:35:46Z","title_canon_sha256":"25d17508d82093a0b5e201f21edea6546cb022153a067a42ed04bb9a425b74b1"},"schema_version":"1.0","source":{"id":"0712.2467","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.2467","created_at":"2026-05-18T00:58:25Z"},{"alias_kind":"arxiv_version","alias_value":"0712.2467v1","created_at":"2026-05-18T00:58:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.2467","created_at":"2026-05-18T00:58:25Z"},{"alias_kind":"pith_short_12","alias_value":"7NOUEDC6JOVI","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"7NOUEDC6JOVIHOHK","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"7NOUEDC6","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:36772d09ab5b7d80e709b34e89231eaca63271cb077227ccfc57b9b8454578f2","target":"graph","created_at":"2026-05-18T00:58:25Z","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":"The subject of this paper is the long-standing open problem of developing a general capacity theory for wireless networks, particularly a theory capable of describing the fundamental performance limits of mobile ad hoc networks (MANETs). A MANET is a peer-to-peer network with no pre-existing infrastructure. MANETs are the most general wireless networks, with single-hop, relay, interference, mesh, and star networks comprising special cases. The lack of a MANET capacity theory has stunted the development and commercialization of many types of wireless networks, including emergency, military, sen","authors_text":"Aylin Yener, Dongning Guo, Jeff Andrews, Martin Haenggi, Michael Neely, Nihar Jindal, Randy Berry, Robert Heath, Sanjay Shakkottai, Steven Weber, Syed Jafar","cross_cats":["math.IT"],"headline":"","license":"","primary_cat":"cs.IT","submitted_at":"2007-12-14T21:35:46Z","title":"Rethinking Information Theory for Mobile Ad Hoc Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.2467","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:f21cbf77f850bb58599d8b79099e480b385132321f0781fb7f97b4cf5d6dd940","target":"record","created_at":"2026-05-18T00:58:25Z","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":"96188210174729eafaf0b562e91431177862dc40362bb6762de134bf76858978","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2007-12-14T21:35:46Z","title_canon_sha256":"25d17508d82093a0b5e201f21edea6546cb022153a067a42ed04bb9a425b74b1"},"schema_version":"1.0","source":{"id":"0712.2467","kind":"arxiv","version":1}},"canonical_sha256":"fb5d420c5e4baa83b8ea236989199946a9a499bb1ad62bc0297894be32d9a605","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb5d420c5e4baa83b8ea236989199946a9a499bb1ad62bc0297894be32d9a605","first_computed_at":"2026-05-18T00:58:25.841927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:25.841927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xiKbdQdgqYa1GH/VmigUGe0rLzPvqphwm2CT78kHziD0w7LHsFH27waPsOfVD/fxtMo7LtfWO9Ykr4ZfbqljAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:25.842515Z","signed_message":"canonical_sha256_bytes"},"source_id":"0712.2467","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f21cbf77f850bb58599d8b79099e480b385132321f0781fb7f97b4cf5d6dd940","sha256:36772d09ab5b7d80e709b34e89231eaca63271cb077227ccfc57b9b8454578f2"],"state_sha256":"538bbc19aecde53f3906e00db2cd03a4a97b34e40ed3720b17fb2afd895a0bb4"}