{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:3ITSPRBGEDI4WWXACDO4WZ3ZPW","short_pith_number":"pith:3ITSPRBG","schema_version":"1.0","canonical_sha256":"da2727c42620d1cb5ae010ddcb67797db487a560b9179339e4c3e1231ef6c722","source":{"kind":"arxiv","id":"1107.2681","version":3},"attestation_state":"computed","paper":{"title":"Coordinate-invariant incremental Lyapunov functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.DS"],"primary_cat":"math.OC","authors_text":"Majid Zamani, Rupak Majumdar","submitted_at":"2011-07-13T21:48:31Z","abstract_excerpt":"In this note, we propose coordinate-invariant notions of incremental Lyapunov function and provide characterizations of incremental stability in terms of existence of the proposed Lyapunov functions."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1107.2681","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-07-13T21:48:31Z","cross_cats_sorted":["cs.SY","math.DS"],"title_canon_sha256":"6d5f26b7a55c22ea5f068e7081c711f3c545bd9984ac713e0d6f0c0a2c9f18e1","abstract_canon_sha256":"07fc70fe0dd1272aa67e7e3f7a57a39ab63e780aad6bdb31d6f4a45469c0fc7c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:00.714111Z","signature_b64":"Z7YytkHOu3wnVcupNABg6TeTKRqgI7d3O49pgddsq/2Z66Ji++fvjZ/sTLvQyGcSvMSrpRlPdgwyIuhwWd1DBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da2727c42620d1cb5ae010ddcb67797db487a560b9179339e4c3e1231ef6c722","last_reissued_at":"2026-05-18T01:19:00.713710Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:00.713710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coordinate-invariant incremental Lyapunov functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.DS"],"primary_cat":"math.OC","authors_text":"Majid Zamani, Rupak Majumdar","submitted_at":"2011-07-13T21:48:31Z","abstract_excerpt":"In this note, we propose coordinate-invariant notions of incremental Lyapunov function and provide characterizations of incremental stability in terms of existence of the proposed Lyapunov functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2681","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1107.2681","created_at":"2026-05-18T01:19:00.713772+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.2681v3","created_at":"2026-05-18T01:19:00.713772+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2681","created_at":"2026-05-18T01:19:00.713772+00:00"},{"alias_kind":"pith_short_12","alias_value":"3ITSPRBGEDI4","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"3ITSPRBGEDI4WWXA","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"3ITSPRBG","created_at":"2026-05-18T12:26:18.847500+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3ITSPRBGEDI4WWXACDO4WZ3ZPW","json":"https://pith.science/pith/3ITSPRBGEDI4WWXACDO4WZ3ZPW.json","graph_json":"https://pith.science/api/pith-number/3ITSPRBGEDI4WWXACDO4WZ3ZPW/graph.json","events_json":"https://pith.science/api/pith-number/3ITSPRBGEDI4WWXACDO4WZ3ZPW/events.json","paper":"https://pith.science/paper/3ITSPRBG"},"agent_actions":{"view_html":"https://pith.science/pith/3ITSPRBGEDI4WWXACDO4WZ3ZPW","download_json":"https://pith.science/pith/3ITSPRBGEDI4WWXACDO4WZ3ZPW.json","view_paper":"https://pith.science/paper/3ITSPRBG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.2681&json=true","fetch_graph":"https://pith.science/api/pith-number/3ITSPRBGEDI4WWXACDO4WZ3ZPW/graph.json","fetch_events":"https://pith.science/api/pith-number/3ITSPRBGEDI4WWXACDO4WZ3ZPW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3ITSPRBGEDI4WWXACDO4WZ3ZPW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3ITSPRBGEDI4WWXACDO4WZ3ZPW/action/storage_attestation","attest_author":"https://pith.science/pith/3ITSPRBGEDI4WWXACDO4WZ3ZPW/action/author_attestation","sign_citation":"https://pith.science/pith/3ITSPRBGEDI4WWXACDO4WZ3ZPW/action/citation_signature","submit_replication":"https://pith.science/pith/3ITSPRBGEDI4WWXACDO4WZ3ZPW/action/replication_record"}},"created_at":"2026-05-18T01:19:00.713772+00:00","updated_at":"2026-05-18T01:19:00.713772+00:00"}