{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XNY6IOMPE6NUQUYATBVQBILCMT","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":"f063a2e03bf963d7d5b3db531b5adcb0a6a915fb39a0a3fbbd5f32cca9699028","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-04-07T09:35:23Z","title_canon_sha256":"cd4227693db67669f9d919e2559a870553d5e3c7fd8363e2723a20b297dcff23"},"schema_version":"1.0","source":{"id":"1304.1971","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1971","created_at":"2026-05-18T03:02:35Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1971v5","created_at":"2026-05-18T03:02:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1971","created_at":"2026-05-18T03:02:35Z"},{"alias_kind":"pith_short_12","alias_value":"XNY6IOMPE6NU","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XNY6IOMPE6NUQUYA","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XNY6IOMP","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:fe55bbf65db87add0a148deab1fd1801561d90ad8c42f65463fc04a5d1b4a632","target":"graph","created_at":"2026-05-18T03:02:35Z","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":"Given a manifold $M$ endowed with a contact 1-form $\\alpha$, a bi-invariant pseudo-metric $\\varrho_\\alpha$ is introduced on $Cont(M,\\alpha)$, the compactly supported identity component of the group of all strict contactomorphisms of $(M,\\alpha)$. For $M$ open $\\varrho_\\alpha$ is a metric.","authors_text":"Tomasz Rybicki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-04-07T09:35:23Z","title":"Hofer metric from the contact point of view"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1971","kind":"arxiv","version":5},"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:b8631bec5dfb9c55c0c40a8de8a172cda95776d78bbd3a0d4662162418ca51fd","target":"record","created_at":"2026-05-18T03:02:35Z","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":"f063a2e03bf963d7d5b3db531b5adcb0a6a915fb39a0a3fbbd5f32cca9699028","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-04-07T09:35:23Z","title_canon_sha256":"cd4227693db67669f9d919e2559a870553d5e3c7fd8363e2723a20b297dcff23"},"schema_version":"1.0","source":{"id":"1304.1971","kind":"arxiv","version":5}},"canonical_sha256":"bb71e4398f279b485300986b00a16264f1fafcea3f5b28c358a425087b05189c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb71e4398f279b485300986b00a16264f1fafcea3f5b28c358a425087b05189c","first_computed_at":"2026-05-18T03:02:35.114152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:35.114152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2PxccJ3kwSgiGNswS20GTouPPLiP9vMCDmRooW1KjT/qLwpxzKATQXh7Z0W84ns/6xcMIhhja45wiioVfY6bAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:35.114920Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.1971","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8631bec5dfb9c55c0c40a8de8a172cda95776d78bbd3a0d4662162418ca51fd","sha256:fe55bbf65db87add0a148deab1fd1801561d90ad8c42f65463fc04a5d1b4a632"],"state_sha256":"bcc01791e0abff50623425c48fa7875a1990b98454c4588e48b23faf5eef6a0e"}