{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:O5JC6D33RTXZEM4MUX7MWRYG5N","short_pith_number":"pith:O5JC6D33","schema_version":"1.0","canonical_sha256":"77522f0f7b8cef92338ca5fecb4706eb7999d5d9f919c2624c1fc7b2671bcd37","source":{"kind":"arxiv","id":"2208.13199","version":2},"attestation_state":"computed","paper":{"title":"Variational construction of connecting orbits between Legendrian graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.DS","authors_text":"Jun Yan, Kai Zhao, Liang Jin","submitted_at":"2022-08-28T11:15:28Z","abstract_excerpt":"Motivated by the problem of global stability of thermodynamical equilibria in non-equilibrium thermodynamics formulated in a recent paper [12], we introduce some mechanisms for constructing semi-infinite orbits of contact Hamiltonian systems connecting two Legendrian graphs from the viewpoint of Aubry-Mather theory and weak KAM theory."},"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":"2208.13199","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2022-08-28T11:15:28Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"3eaa8dc6fe050996104145d567148a276cf3ad14fe0a90618dc40b4a78fefae8","abstract_canon_sha256":"c8a6147ce2d3e9069ae6a7d2acba6279600b3a7463041d96c6b9fe7ec7bf1246"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:53:05.238370Z","signature_b64":"Y6MtA6OtB3ud7/822UH+1RvpT6XQMjuZ9iQHuQ96rAO86jaNADtlS3YPnCJE3EJ70baM1ERrlr7paWIRuybAAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77522f0f7b8cef92338ca5fecb4706eb7999d5d9f919c2624c1fc7b2671bcd37","last_reissued_at":"2026-07-05T04:53:05.237956Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:53:05.237956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Variational construction of connecting orbits between Legendrian graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.DS","authors_text":"Jun Yan, Kai Zhao, Liang Jin","submitted_at":"2022-08-28T11:15:28Z","abstract_excerpt":"Motivated by the problem of global stability of thermodynamical equilibria in non-equilibrium thermodynamics formulated in a recent paper [12], we introduce some mechanisms for constructing semi-infinite orbits of contact Hamiltonian systems connecting two Legendrian graphs from the viewpoint of Aubry-Mather theory and weak KAM theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.13199","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2208.13199/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2208.13199","created_at":"2026-07-05T04:53:05.238012+00:00"},{"alias_kind":"arxiv_version","alias_value":"2208.13199v2","created_at":"2026-07-05T04:53:05.238012+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.13199","created_at":"2026-07-05T04:53:05.238012+00:00"},{"alias_kind":"pith_short_12","alias_value":"O5JC6D33RTXZ","created_at":"2026-07-05T04:53:05.238012+00:00"},{"alias_kind":"pith_short_16","alias_value":"O5JC6D33RTXZEM4M","created_at":"2026-07-05T04:53:05.238012+00:00"},{"alias_kind":"pith_short_8","alias_value":"O5JC6D33","created_at":"2026-07-05T04:53:05.238012+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/O5JC6D33RTXZEM4MUX7MWRYG5N","json":"https://pith.science/pith/O5JC6D33RTXZEM4MUX7MWRYG5N.json","graph_json":"https://pith.science/api/pith-number/O5JC6D33RTXZEM4MUX7MWRYG5N/graph.json","events_json":"https://pith.science/api/pith-number/O5JC6D33RTXZEM4MUX7MWRYG5N/events.json","paper":"https://pith.science/paper/O5JC6D33"},"agent_actions":{"view_html":"https://pith.science/pith/O5JC6D33RTXZEM4MUX7MWRYG5N","download_json":"https://pith.science/pith/O5JC6D33RTXZEM4MUX7MWRYG5N.json","view_paper":"https://pith.science/paper/O5JC6D33","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2208.13199&json=true","fetch_graph":"https://pith.science/api/pith-number/O5JC6D33RTXZEM4MUX7MWRYG5N/graph.json","fetch_events":"https://pith.science/api/pith-number/O5JC6D33RTXZEM4MUX7MWRYG5N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O5JC6D33RTXZEM4MUX7MWRYG5N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O5JC6D33RTXZEM4MUX7MWRYG5N/action/storage_attestation","attest_author":"https://pith.science/pith/O5JC6D33RTXZEM4MUX7MWRYG5N/action/author_attestation","sign_citation":"https://pith.science/pith/O5JC6D33RTXZEM4MUX7MWRYG5N/action/citation_signature","submit_replication":"https://pith.science/pith/O5JC6D33RTXZEM4MUX7MWRYG5N/action/replication_record"}},"created_at":"2026-07-05T04:53:05.238012+00:00","updated_at":"2026-07-05T04:53:05.238012+00:00"}