{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QPLVZF32HZSGZDMQOTGRN24RYD","short_pith_number":"pith:QPLVZF32","canonical_record":{"source":{"id":"1701.02991","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2017-01-11T14:43:05Z","cross_cats_sorted":[],"title_canon_sha256":"56329d9603d7d3411362c145e78793aa4d26b2eedb294c71e2360f318f0dad82","abstract_canon_sha256":"6cb3bc11dbd0eb4a6cb52f29e5d9c226d21e0124f5284cd253616c9ea034be3a"},"schema_version":"1.0"},"canonical_sha256":"83d75c977a3e646c8d9074cd16eb91c0dbd679b7119fbaad752d1a12d62d57ac","source":{"kind":"arxiv","id":"1701.02991","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02991","created_at":"2026-05-18T00:33:52Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02991v1","created_at":"2026-05-18T00:33:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02991","created_at":"2026-05-18T00:33:52Z"},{"alias_kind":"pith_short_12","alias_value":"QPLVZF32HZSG","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QPLVZF32HZSGZDMQ","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QPLVZF32","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QPLVZF32HZSGZDMQOTGRN24RYD","target":"record","payload":{"canonical_record":{"source":{"id":"1701.02991","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2017-01-11T14:43:05Z","cross_cats_sorted":[],"title_canon_sha256":"56329d9603d7d3411362c145e78793aa4d26b2eedb294c71e2360f318f0dad82","abstract_canon_sha256":"6cb3bc11dbd0eb4a6cb52f29e5d9c226d21e0124f5284cd253616c9ea034be3a"},"schema_version":"1.0"},"canonical_sha256":"83d75c977a3e646c8d9074cd16eb91c0dbd679b7119fbaad752d1a12d62d57ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:52.772280Z","signature_b64":"9SFl+R1i/8RZDBIkNaXAJpOv4tV9GBWLcmzf183i2hmFekvQyeu5hcpxR69xAcP+3Dm7zufuW+Ukjw49dyXlAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83d75c977a3e646c8d9074cd16eb91c0dbd679b7119fbaad752d1a12d62d57ac","last_reissued_at":"2026-05-18T00:33:52.771311Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:52.771311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.02991","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":"2026-05-18T00:33:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GffD9v58LYmJm+sF8pgfUiiuf+MpMIbARXaMqExJZflTjBrhWFQKJXkVBBn8hOH1jF+9Wa3cQy1USGmTcISFDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T14:59:36.637683Z"},"content_sha256":"e8c583d6ef5475d1a97ae8e083c3f4bcd2263bcaf8902d598cff9f5e00fbff71","schema_version":"1.0","event_id":"sha256:e8c583d6ef5475d1a97ae8e083c3f4bcd2263bcaf8902d598cff9f5e00fbff71"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QPLVZF32HZSGZDMQOTGRN24RYD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Node-Independent Spanning Trees in Gaussian Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DC","authors_text":"Anton Cerny, Bader AlBdaiwi, Zaid Hussain","submitted_at":"2017-01-11T14:43:05Z","abstract_excerpt":"Message broadcasting in networks could be carried over spanning trees. A set of spanning trees in the same network is node independent if two conditions are satisfied. First, all trees are rooted at node $r$. Second, for every node $u$ in the network, all trees' paths from $r$ to $u$ are node-disjoint, excluding the end nodes $r$ and $u$. Independent spanning trees have applications in fault-tolerant communications and secure message distributions. Gaussian networks and two-dimensional toroidal networks share similar topological characteristics. They are regular of degree four, symmetric, and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02991","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":"2026-05-18T00:33:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1smlMR+QwEV/j/yWb7swVeQOTrHh66WUdXVWC1HaA3DQDNSc2Pq6qYme48y8BLZ8QlQV9RN21O5y6zmdczPkDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T14:59:36.638019Z"},"content_sha256":"4aa93c73927c327cc89c7f7a675d63cdc514d10d6b7dc527e0902d94bf4e846c","schema_version":"1.0","event_id":"sha256:4aa93c73927c327cc89c7f7a675d63cdc514d10d6b7dc527e0902d94bf4e846c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QPLVZF32HZSGZDMQOTGRN24RYD/bundle.json","state_url":"https://pith.science/pith/QPLVZF32HZSGZDMQOTGRN24RYD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QPLVZF32HZSGZDMQOTGRN24RYD/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":"2026-06-30T14:59:36Z","links":{"resolver":"https://pith.science/pith/QPLVZF32HZSGZDMQOTGRN24RYD","bundle":"https://pith.science/pith/QPLVZF32HZSGZDMQOTGRN24RYD/bundle.json","state":"https://pith.science/pith/QPLVZF32HZSGZDMQOTGRN24RYD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QPLVZF32HZSGZDMQOTGRN24RYD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QPLVZF32HZSGZDMQOTGRN24RYD","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":"6cb3bc11dbd0eb4a6cb52f29e5d9c226d21e0124f5284cd253616c9ea034be3a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2017-01-11T14:43:05Z","title_canon_sha256":"56329d9603d7d3411362c145e78793aa4d26b2eedb294c71e2360f318f0dad82"},"schema_version":"1.0","source":{"id":"1701.02991","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02991","created_at":"2026-05-18T00:33:52Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02991v1","created_at":"2026-05-18T00:33:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02991","created_at":"2026-05-18T00:33:52Z"},{"alias_kind":"pith_short_12","alias_value":"QPLVZF32HZSG","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QPLVZF32HZSGZDMQ","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QPLVZF32","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:4aa93c73927c327cc89c7f7a675d63cdc514d10d6b7dc527e0902d94bf4e846c","target":"graph","created_at":"2026-05-18T00:33:52Z","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":"Message broadcasting in networks could be carried over spanning trees. A set of spanning trees in the same network is node independent if two conditions are satisfied. First, all trees are rooted at node $r$. Second, for every node $u$ in the network, all trees' paths from $r$ to $u$ are node-disjoint, excluding the end nodes $r$ and $u$. Independent spanning trees have applications in fault-tolerant communications and secure message distributions. Gaussian networks and two-dimensional toroidal networks share similar topological characteristics. They are regular of degree four, symmetric, and ","authors_text":"Anton Cerny, Bader AlBdaiwi, Zaid Hussain","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2017-01-11T14:43:05Z","title":"Node-Independent Spanning Trees in Gaussian Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02991","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:e8c583d6ef5475d1a97ae8e083c3f4bcd2263bcaf8902d598cff9f5e00fbff71","target":"record","created_at":"2026-05-18T00:33:52Z","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":"6cb3bc11dbd0eb4a6cb52f29e5d9c226d21e0124f5284cd253616c9ea034be3a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2017-01-11T14:43:05Z","title_canon_sha256":"56329d9603d7d3411362c145e78793aa4d26b2eedb294c71e2360f318f0dad82"},"schema_version":"1.0","source":{"id":"1701.02991","kind":"arxiv","version":1}},"canonical_sha256":"83d75c977a3e646c8d9074cd16eb91c0dbd679b7119fbaad752d1a12d62d57ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83d75c977a3e646c8d9074cd16eb91c0dbd679b7119fbaad752d1a12d62d57ac","first_computed_at":"2026-05-18T00:33:52.771311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:52.771311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9SFl+R1i/8RZDBIkNaXAJpOv4tV9GBWLcmzf183i2hmFekvQyeu5hcpxR69xAcP+3Dm7zufuW+Ukjw49dyXlAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:52.772280Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.02991","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8c583d6ef5475d1a97ae8e083c3f4bcd2263bcaf8902d598cff9f5e00fbff71","sha256:4aa93c73927c327cc89c7f7a675d63cdc514d10d6b7dc527e0902d94bf4e846c"],"state_sha256":"9c2b7206dc3299dd15fac7925d8114d68eaf50749e001ef3846ef75377d92cec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9J2W5gStzyCnM9E/aoGik5bNxYyQhAmgGVyzD7h7ELQR10M9FIjz5kXXI8Smnjslc99WQzspvy1cXtY6/Mr2Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T14:59:36.639851Z","bundle_sha256":"0616cda06778050bffbc627f4d12238b62697318ad687a4be2ba4849dfada726"}}