{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:H5QO2CECBBYZ2Q4OJZ2LJDOJ6W","short_pith_number":"pith:H5QO2CEC","canonical_record":{"source":{"id":"1410.6148","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-22T19:24:19Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"e156f1c479e8ca29c60b0fd4056546d655271116a54f64b5b17481ed4e4e8430","abstract_canon_sha256":"7e1af334e221d07340e7acca60660ac23a42b6cdcd1992cecb148ded22a9d149"},"schema_version":"1.0"},"canonical_sha256":"3f60ed088208719d438e4e74b48dc9f5953e29aab65ab59484eaf1152c5a8555","source":{"kind":"arxiv","id":"1410.6148","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.6148","created_at":"2026-05-18T01:17:10Z"},{"alias_kind":"arxiv_version","alias_value":"1410.6148v1","created_at":"2026-05-18T01:17:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.6148","created_at":"2026-05-18T01:17:10Z"},{"alias_kind":"pith_short_12","alias_value":"H5QO2CECBBYZ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"H5QO2CECBBYZ2Q4O","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"H5QO2CEC","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:H5QO2CECBBYZ2Q4OJZ2LJDOJ6W","target":"record","payload":{"canonical_record":{"source":{"id":"1410.6148","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-22T19:24:19Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"e156f1c479e8ca29c60b0fd4056546d655271116a54f64b5b17481ed4e4e8430","abstract_canon_sha256":"7e1af334e221d07340e7acca60660ac23a42b6cdcd1992cecb148ded22a9d149"},"schema_version":"1.0"},"canonical_sha256":"3f60ed088208719d438e4e74b48dc9f5953e29aab65ab59484eaf1152c5a8555","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:10.389978Z","signature_b64":"1TD3z0k9vhyADAZlOERBj4o4U+7tRcmc2e8Jih7QX7VwlCeqzZqeW6WpEHMOluMKtr4U5WFyBv/aDQ/roZGjBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f60ed088208719d438e4e74b48dc9f5953e29aab65ab59484eaf1152c5a8555","last_reissued_at":"2026-05-18T01:17:10.389238Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:10.389238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.6148","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":"2026-05-18T01:17:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4PUZXi89253vdreh2ogF8lg57L/E1bApp4d2WusiVbJAMKUAhvveRiT6WPrPEWLhwkqzOKMxxD9cYtAfCaDQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T05:13:45.491688Z"},"content_sha256":"4bce108780f7018c931111542ecd8cb925c95fbb5f2267b48d93d3d5f235eaff","schema_version":"1.0","event_id":"sha256:4bce108780f7018c931111542ecd8cb925c95fbb5f2267b48d93d3d5f235eaff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:H5QO2CECBBYZ2Q4OJZ2LJDOJ6W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Genus Ranges of Chord Diagrams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.GT","authors_text":"Jonathan Burns, Masahico Saito, Nata\\v{s}a Jonoska","submitted_at":"2014-10-22T19:24:19Z","abstract_excerpt":"A chord diagram consists of a circle, called the backbone, with line segments, called chords, whose endpoints are attached to distinct points on the circle. The genus of a chord diagram is the genus of the orientable surface obtained by thickening the backbone to an annulus and attaching bands to the inner boundary circle at the ends of each chord. Variations of this construction are considered here, where bands are possibly attached to the outer boundary circle of the annulus. The genus range of a chord diagram is the genus values over all such variations of surfaces thus obtained from a give"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.6148","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":"2026-05-18T01:17:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y9EYNXP2ZOOFe2pKGjhHqNnjwzfkrBvo3usWjqb9Wwgacde4LkdMMsUEsGIMJAIja7jZXU1a40RHVUyJ27YKDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T05:13:45.492158Z"},"content_sha256":"58dbfa356b8dad7faf9b1f1c66006d92f8842b372ed005332261b814076fac6f","schema_version":"1.0","event_id":"sha256:58dbfa356b8dad7faf9b1f1c66006d92f8842b372ed005332261b814076fac6f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H5QO2CECBBYZ2Q4OJZ2LJDOJ6W/bundle.json","state_url":"https://pith.science/pith/H5QO2CECBBYZ2Q4OJZ2LJDOJ6W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H5QO2CECBBYZ2Q4OJZ2LJDOJ6W/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":"2026-06-24T05:13:45Z","links":{"resolver":"https://pith.science/pith/H5QO2CECBBYZ2Q4OJZ2LJDOJ6W","bundle":"https://pith.science/pith/H5QO2CECBBYZ2Q4OJZ2LJDOJ6W/bundle.json","state":"https://pith.science/pith/H5QO2CECBBYZ2Q4OJZ2LJDOJ6W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H5QO2CECBBYZ2Q4OJZ2LJDOJ6W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:H5QO2CECBBYZ2Q4OJZ2LJDOJ6W","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":"7e1af334e221d07340e7acca60660ac23a42b6cdcd1992cecb148ded22a9d149","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-22T19:24:19Z","title_canon_sha256":"e156f1c479e8ca29c60b0fd4056546d655271116a54f64b5b17481ed4e4e8430"},"schema_version":"1.0","source":{"id":"1410.6148","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.6148","created_at":"2026-05-18T01:17:10Z"},{"alias_kind":"arxiv_version","alias_value":"1410.6148v1","created_at":"2026-05-18T01:17:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.6148","created_at":"2026-05-18T01:17:10Z"},{"alias_kind":"pith_short_12","alias_value":"H5QO2CECBBYZ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"H5QO2CECBBYZ2Q4O","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"H5QO2CEC","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:58dbfa356b8dad7faf9b1f1c66006d92f8842b372ed005332261b814076fac6f","target":"graph","created_at":"2026-05-18T01:17:10Z","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":"A chord diagram consists of a circle, called the backbone, with line segments, called chords, whose endpoints are attached to distinct points on the circle. The genus of a chord diagram is the genus of the orientable surface obtained by thickening the backbone to an annulus and attaching bands to the inner boundary circle at the ends of each chord. Variations of this construction are considered here, where bands are possibly attached to the outer boundary circle of the annulus. The genus range of a chord diagram is the genus values over all such variations of surfaces thus obtained from a give","authors_text":"Jonathan Burns, Masahico Saito, Nata\\v{s}a Jonoska","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-22T19:24:19Z","title":"Genus Ranges of Chord Diagrams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.6148","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":"sha256:4bce108780f7018c931111542ecd8cb925c95fbb5f2267b48d93d3d5f235eaff","target":"record","created_at":"2026-05-18T01:17:10Z","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":"7e1af334e221d07340e7acca60660ac23a42b6cdcd1992cecb148ded22a9d149","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-22T19:24:19Z","title_canon_sha256":"e156f1c479e8ca29c60b0fd4056546d655271116a54f64b5b17481ed4e4e8430"},"schema_version":"1.0","source":{"id":"1410.6148","kind":"arxiv","version":1}},"canonical_sha256":"3f60ed088208719d438e4e74b48dc9f5953e29aab65ab59484eaf1152c5a8555","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f60ed088208719d438e4e74b48dc9f5953e29aab65ab59484eaf1152c5a8555","first_computed_at":"2026-05-18T01:17:10.389238Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:10.389238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1TD3z0k9vhyADAZlOERBj4o4U+7tRcmc2e8Jih7QX7VwlCeqzZqeW6WpEHMOluMKtr4U5WFyBv/aDQ/roZGjBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:10.389978Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.6148","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bce108780f7018c931111542ecd8cb925c95fbb5f2267b48d93d3d5f235eaff","sha256:58dbfa356b8dad7faf9b1f1c66006d92f8842b372ed005332261b814076fac6f"],"state_sha256":"d5915a4c921fcad6ba3faf5a1d66259cade6b73dc7a8e4984465357f7b6b6bc4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n3Ee7NH9KA4NqSsfIuoVuSCwXm9mlk74q1IY8fxAHOjwZEtOU8JciNj3hHNV8ELid1hRDlJE/G2wYZ4aaagbAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T05:13:45.494817Z","bundle_sha256":"f4903750536eb9b89e1392bfb03ebf906f1408d1573104adbf194e337b759e9f"}}