{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JP4Y27GRYYOVZNY37T6KQPKWCV","short_pith_number":"pith:JP4Y27GR","canonical_record":{"source":{"id":"1206.0971","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2012-06-05T15:50:18Z","cross_cats_sorted":[],"title_canon_sha256":"f4573366b9fd31a18d595e6bbce8d1bbf107572b6b51c6707921292e4a5661d4","abstract_canon_sha256":"f726963b8ec32097e154c687fc4a67250a92fa34305c833bc082395602db57d9"},"schema_version":"1.0"},"canonical_sha256":"4bf98d7cd1c61d5cb71bfcfca83d5615783ab80d0e75237c675dbce4af323303","source":{"kind":"arxiv","id":"1206.0971","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0971","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0971v1","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0971","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"pith_short_12","alias_value":"JP4Y27GRYYOV","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JP4Y27GRYYOVZNY3","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JP4Y27GR","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JP4Y27GRYYOVZNY37T6KQPKWCV","target":"record","payload":{"canonical_record":{"source":{"id":"1206.0971","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2012-06-05T15:50:18Z","cross_cats_sorted":[],"title_canon_sha256":"f4573366b9fd31a18d595e6bbce8d1bbf107572b6b51c6707921292e4a5661d4","abstract_canon_sha256":"f726963b8ec32097e154c687fc4a67250a92fa34305c833bc082395602db57d9"},"schema_version":"1.0"},"canonical_sha256":"4bf98d7cd1c61d5cb71bfcfca83d5615783ab80d0e75237c675dbce4af323303","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:15.636522Z","signature_b64":"yHCFPCpj5f+NXOWLbn+tAO+9autHBB/iJVVcP+FUgwQ3DgyEcMGcqX5CCLEfOGQn9zjMokTGEj6DIGADeq+FDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4bf98d7cd1c61d5cb71bfcfca83d5615783ab80d0e75237c675dbce4af323303","last_reissued_at":"2026-05-18T03:54:15.636106Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:15.636106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.0971","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":"2026-05-18T03:54:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a+rG5APZfN0Xd7BX/Qyt8jq5Nh7RI7GEJjyd8h+QZPWdumTjJvilBrhHBGzUcyYuig37N38Hgff6NeWi+oT4Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T14:00:38.059515Z"},"content_sha256":"d74a5a8a2dea41a59b4a63a4c791dedd1afe021e5fd76e173b21bcf7a6e347c5","schema_version":"1.0","event_id":"sha256:d74a5a8a2dea41a59b4a63a4c791dedd1afe021e5fd76e173b21bcf7a6e347c5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JP4Y27GRYYOVZNY37T6KQPKWCV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random consensus in nonlinear systems under fixed topology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Poom Kumam, Radha F. Gupta","submitted_at":"2012-06-05T15:50:18Z","abstract_excerpt":"This paper investigates the consensus problem in almost sure sense for uncertain multi-agent systems with noises and fixed topology. By combining the tools of stochastic analysis, algebraic graph theory, and matrix theory, we analyze the convergence of a class of distributed stochastic type non-linear protocols. Numerical examples are given to illustrate the results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0971","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":"2026-05-18T03:54:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8eGQiFr0auY/B70ecqifhPwvNuZphjP3u+zm3GoIig8+AdZtrmLRxX9esR6HhPG7/0sdnad5pOkAnSR2btp0Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T14:00:38.059852Z"},"content_sha256":"36681431232ab7d3f906cfa38e9b91b8c401791b015641a8db4d44f510bfedd6","schema_version":"1.0","event_id":"sha256:36681431232ab7d3f906cfa38e9b91b8c401791b015641a8db4d44f510bfedd6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JP4Y27GRYYOVZNY37T6KQPKWCV/bundle.json","state_url":"https://pith.science/pith/JP4Y27GRYYOVZNY37T6KQPKWCV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JP4Y27GRYYOVZNY37T6KQPKWCV/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":"2026-06-26T14:00:38Z","links":{"resolver":"https://pith.science/pith/JP4Y27GRYYOVZNY37T6KQPKWCV","bundle":"https://pith.science/pith/JP4Y27GRYYOVZNY37T6KQPKWCV/bundle.json","state":"https://pith.science/pith/JP4Y27GRYYOVZNY37T6KQPKWCV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JP4Y27GRYYOVZNY37T6KQPKWCV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JP4Y27GRYYOVZNY37T6KQPKWCV","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":"f726963b8ec32097e154c687fc4a67250a92fa34305c833bc082395602db57d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2012-06-05T15:50:18Z","title_canon_sha256":"f4573366b9fd31a18d595e6bbce8d1bbf107572b6b51c6707921292e4a5661d4"},"schema_version":"1.0","source":{"id":"1206.0971","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0971","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0971v1","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0971","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"pith_short_12","alias_value":"JP4Y27GRYYOV","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JP4Y27GRYYOVZNY3","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JP4Y27GR","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:36681431232ab7d3f906cfa38e9b91b8c401791b015641a8db4d44f510bfedd6","target":"graph","created_at":"2026-05-18T03:54:15Z","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":"This paper investigates the consensus problem in almost sure sense for uncertain multi-agent systems with noises and fixed topology. By combining the tools of stochastic analysis, algebraic graph theory, and matrix theory, we analyze the convergence of a class of distributed stochastic type non-linear protocols. Numerical examples are given to illustrate the results.","authors_text":"Poom Kumam, Radha F. Gupta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2012-06-05T15:50:18Z","title":"Random consensus in nonlinear systems under fixed topology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0971","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:d74a5a8a2dea41a59b4a63a4c791dedd1afe021e5fd76e173b21bcf7a6e347c5","target":"record","created_at":"2026-05-18T03:54:15Z","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":"f726963b8ec32097e154c687fc4a67250a92fa34305c833bc082395602db57d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2012-06-05T15:50:18Z","title_canon_sha256":"f4573366b9fd31a18d595e6bbce8d1bbf107572b6b51c6707921292e4a5661d4"},"schema_version":"1.0","source":{"id":"1206.0971","kind":"arxiv","version":1}},"canonical_sha256":"4bf98d7cd1c61d5cb71bfcfca83d5615783ab80d0e75237c675dbce4af323303","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bf98d7cd1c61d5cb71bfcfca83d5615783ab80d0e75237c675dbce4af323303","first_computed_at":"2026-05-18T03:54:15.636106Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:15.636106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yHCFPCpj5f+NXOWLbn+tAO+9autHBB/iJVVcP+FUgwQ3DgyEcMGcqX5CCLEfOGQn9zjMokTGEj6DIGADeq+FDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:15.636522Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.0971","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d74a5a8a2dea41a59b4a63a4c791dedd1afe021e5fd76e173b21bcf7a6e347c5","sha256:36681431232ab7d3f906cfa38e9b91b8c401791b015641a8db4d44f510bfedd6"],"state_sha256":"f2ad087621cb26c0631d728602562de926026bd277bd3349b75c409252db4a68"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U0JWCjsZGt83SxZogngyFIut76hckgMqyUU53q7lxk55YAvgTeFhWQAzgZZkYMS26T0XutwMNZyAxPIB/h9uBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T14:00:38.061679Z","bundle_sha256":"659297e1654260d47cfa7a4b88099f36dbf3ad1af5f1ac82896a1973e2417dab"}}