{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:25RKTV6NKJ2C4JBRNDFNALFM24","short_pith_number":"pith:25RKTV6N","schema_version":"1.0","canonical_sha256":"d762a9d7cd52742e243168cad02cacd715471cce549734d99117052832cd7e54","source":{"kind":"arxiv","id":"1905.02627","version":1},"attestation_state":"computed","paper":{"title":"A Comparison between Hofer's metric and C^1-topology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Yoshihiro Sugimoto","submitted_at":"2019-05-02T18:10:29Z","abstract_excerpt":"Hofer's metric is a bi-invariant metric on Hamiltonian diffeomorphism groups. Our main result shows that the topology induced from Hofer's metric is weaker than C^1-topology if the symplectic manifold is closed."},"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":"1905.02627","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2019-05-02T18:10:29Z","cross_cats_sorted":[],"title_canon_sha256":"296fd1decb6920d673bce67723d64b3aaa392ad9594a3ecc0a9bf9edf6592e4d","abstract_canon_sha256":"bba0c8b8c85a758ca8985b36d452d21690ef970a2212b317d1d3e60bf6ba9b37"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:50.882116Z","signature_b64":"5m2sPLLTcf6wzC/haxmSjOmovA0GkGxz50GQV/WoJsr4qOYPcOshy/OhAkypVdXzyQUs2V4LKjq3luAKAvm6BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d762a9d7cd52742e243168cad02cacd715471cce549734d99117052832cd7e54","last_reissued_at":"2026-05-17T23:46:50.881605Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:50.881605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Comparison between Hofer's metric and C^1-topology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Yoshihiro Sugimoto","submitted_at":"2019-05-02T18:10:29Z","abstract_excerpt":"Hofer's metric is a bi-invariant metric on Hamiltonian diffeomorphism groups. Our main result shows that the topology induced from Hofer's metric is weaker than C^1-topology if the symplectic manifold is closed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.02627","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1905.02627","created_at":"2026-05-17T23:46:50.881684+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.02627v1","created_at":"2026-05-17T23:46:50.881684+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.02627","created_at":"2026-05-17T23:46:50.881684+00:00"},{"alias_kind":"pith_short_12","alias_value":"25RKTV6NKJ2C","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_16","alias_value":"25RKTV6NKJ2C4JBR","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_8","alias_value":"25RKTV6N","created_at":"2026-05-18T12:33:07.085635+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/25RKTV6NKJ2C4JBRNDFNALFM24","json":"https://pith.science/pith/25RKTV6NKJ2C4JBRNDFNALFM24.json","graph_json":"https://pith.science/api/pith-number/25RKTV6NKJ2C4JBRNDFNALFM24/graph.json","events_json":"https://pith.science/api/pith-number/25RKTV6NKJ2C4JBRNDFNALFM24/events.json","paper":"https://pith.science/paper/25RKTV6N"},"agent_actions":{"view_html":"https://pith.science/pith/25RKTV6NKJ2C4JBRNDFNALFM24","download_json":"https://pith.science/pith/25RKTV6NKJ2C4JBRNDFNALFM24.json","view_paper":"https://pith.science/paper/25RKTV6N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.02627&json=true","fetch_graph":"https://pith.science/api/pith-number/25RKTV6NKJ2C4JBRNDFNALFM24/graph.json","fetch_events":"https://pith.science/api/pith-number/25RKTV6NKJ2C4JBRNDFNALFM24/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/25RKTV6NKJ2C4JBRNDFNALFM24/action/timestamp_anchor","attest_storage":"https://pith.science/pith/25RKTV6NKJ2C4JBRNDFNALFM24/action/storage_attestation","attest_author":"https://pith.science/pith/25RKTV6NKJ2C4JBRNDFNALFM24/action/author_attestation","sign_citation":"https://pith.science/pith/25RKTV6NKJ2C4JBRNDFNALFM24/action/citation_signature","submit_replication":"https://pith.science/pith/25RKTV6NKJ2C4JBRNDFNALFM24/action/replication_record"}},"created_at":"2026-05-17T23:46:50.881684+00:00","updated_at":"2026-05-17T23:46:50.881684+00:00"}