{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:VQBYXSSQCNNGHOXTAOJ3Y74TYB","short_pith_number":"pith:VQBYXSSQ","canonical_record":{"source":{"id":"1902.11279","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-28T18:35:13Z","cross_cats_sorted":[],"title_canon_sha256":"7a956229fae8991cc7d45b95eca2c5d691123ed3a4ee4675a1d9f8eaa14475f0","abstract_canon_sha256":"eee5ce8150f829d5fa91ad1374133ceb8e6d85c5355b6b7db82e95a2620c7320"},"schema_version":"1.0"},"canonical_sha256":"ac038bca50135a63baf30393bc7f93c05ae3dc4073b1a03147092365f1b7e9e3","source":{"kind":"arxiv","id":"1902.11279","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.11279","created_at":"2026-05-17T23:52:25Z"},{"alias_kind":"arxiv_version","alias_value":"1902.11279v1","created_at":"2026-05-17T23:52:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.11279","created_at":"2026-05-17T23:52:25Z"},{"alias_kind":"pith_short_12","alias_value":"VQBYXSSQCNNG","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VQBYXSSQCNNGHOXT","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VQBYXSSQ","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:VQBYXSSQCNNGHOXTAOJ3Y74TYB","target":"record","payload":{"canonical_record":{"source":{"id":"1902.11279","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-28T18:35:13Z","cross_cats_sorted":[],"title_canon_sha256":"7a956229fae8991cc7d45b95eca2c5d691123ed3a4ee4675a1d9f8eaa14475f0","abstract_canon_sha256":"eee5ce8150f829d5fa91ad1374133ceb8e6d85c5355b6b7db82e95a2620c7320"},"schema_version":"1.0"},"canonical_sha256":"ac038bca50135a63baf30393bc7f93c05ae3dc4073b1a03147092365f1b7e9e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:25.025919Z","signature_b64":"L21H96q80uT4/zfSPcsGAQtCKflauOUbYGHwzp9xX9VdKCf/oUqoJ4PMF1p6mdruVyDHWlmtbeglLbT8Su/UBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac038bca50135a63baf30393bc7f93c05ae3dc4073b1a03147092365f1b7e9e3","last_reissued_at":"2026-05-17T23:52:25.025300Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:25.025300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.11279","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":"2026-05-17T23:52:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jsaxzzIara+30wlg4Xpag5kNPR0wFOVAkpy6T5vmDTyoxPVM4itsSdIsr2b5B47KmcBabcPnPhr9d6xV0UQxDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:44:54.932594Z"},"content_sha256":"75e5e4d016204f55554058de508a3ff40c2f6b230efdb466ed2f80468d277f8d","schema_version":"1.0","event_id":"sha256:75e5e4d016204f55554058de508a3ff40c2f6b230efdb466ed2f80468d277f8d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:VQBYXSSQCNNGHOXTAOJ3Y74TYB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric simplicial embeddings of arc-type graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Ashley Weber, Hugo Parlier","submitted_at":"2019-02-28T18:35:13Z","abstract_excerpt":"In this paper, we investigate a family of graphs associated to collections of arcs on surfaces. These {\\it multiarc graphs} naturally interpolate between arc graphs and flip graphs, both well studied objects in low dimensional geometry and topology. We show a number of rigidity results, namely showing that, under certain complexity conditions, that simplicial maps between them only arise in the \"obvious way\". We also observe that, again under necessary complexity conditions, subsurface strata are convex. Put together, these results imply that certain simplicial maps always give rise to convex "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.11279","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":"2026-05-17T23:52:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q5cFlC7NBDQSLEz0si0L8l8mw+D6YpHmxm4tfyYymmTpNXhGZ+nnhQghiu1r389Yg5iNhuVTGVbn2/XHvCMOCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:44:54.932938Z"},"content_sha256":"1d60aad960edfc1a54a5ac290bdac07b783a65085dd8f3951dff409782532dce","schema_version":"1.0","event_id":"sha256:1d60aad960edfc1a54a5ac290bdac07b783a65085dd8f3951dff409782532dce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VQBYXSSQCNNGHOXTAOJ3Y74TYB/bundle.json","state_url":"https://pith.science/pith/VQBYXSSQCNNGHOXTAOJ3Y74TYB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VQBYXSSQCNNGHOXTAOJ3Y74TYB/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":"2026-06-01T16:44:54Z","links":{"resolver":"https://pith.science/pith/VQBYXSSQCNNGHOXTAOJ3Y74TYB","bundle":"https://pith.science/pith/VQBYXSSQCNNGHOXTAOJ3Y74TYB/bundle.json","state":"https://pith.science/pith/VQBYXSSQCNNGHOXTAOJ3Y74TYB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VQBYXSSQCNNGHOXTAOJ3Y74TYB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VQBYXSSQCNNGHOXTAOJ3Y74TYB","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":"eee5ce8150f829d5fa91ad1374133ceb8e6d85c5355b6b7db82e95a2620c7320","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-28T18:35:13Z","title_canon_sha256":"7a956229fae8991cc7d45b95eca2c5d691123ed3a4ee4675a1d9f8eaa14475f0"},"schema_version":"1.0","source":{"id":"1902.11279","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.11279","created_at":"2026-05-17T23:52:25Z"},{"alias_kind":"arxiv_version","alias_value":"1902.11279v1","created_at":"2026-05-17T23:52:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.11279","created_at":"2026-05-17T23:52:25Z"},{"alias_kind":"pith_short_12","alias_value":"VQBYXSSQCNNG","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VQBYXSSQCNNGHOXT","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VQBYXSSQ","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:1d60aad960edfc1a54a5ac290bdac07b783a65085dd8f3951dff409782532dce","target":"graph","created_at":"2026-05-17T23:52:25Z","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":"In this paper, we investigate a family of graphs associated to collections of arcs on surfaces. These {\\it multiarc graphs} naturally interpolate between arc graphs and flip graphs, both well studied objects in low dimensional geometry and topology. We show a number of rigidity results, namely showing that, under certain complexity conditions, that simplicial maps between them only arise in the \"obvious way\". We also observe that, again under necessary complexity conditions, subsurface strata are convex. Put together, these results imply that certain simplicial maps always give rise to convex ","authors_text":"Ashley Weber, Hugo Parlier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-28T18:35:13Z","title":"Geometric simplicial embeddings of arc-type graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.11279","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":"sha256:75e5e4d016204f55554058de508a3ff40c2f6b230efdb466ed2f80468d277f8d","target":"record","created_at":"2026-05-17T23:52:25Z","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":"eee5ce8150f829d5fa91ad1374133ceb8e6d85c5355b6b7db82e95a2620c7320","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-28T18:35:13Z","title_canon_sha256":"7a956229fae8991cc7d45b95eca2c5d691123ed3a4ee4675a1d9f8eaa14475f0"},"schema_version":"1.0","source":{"id":"1902.11279","kind":"arxiv","version":1}},"canonical_sha256":"ac038bca50135a63baf30393bc7f93c05ae3dc4073b1a03147092365f1b7e9e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac038bca50135a63baf30393bc7f93c05ae3dc4073b1a03147092365f1b7e9e3","first_computed_at":"2026-05-17T23:52:25.025300Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:25.025300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L21H96q80uT4/zfSPcsGAQtCKflauOUbYGHwzp9xX9VdKCf/oUqoJ4PMF1p6mdruVyDHWlmtbeglLbT8Su/UBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:25.025919Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.11279","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75e5e4d016204f55554058de508a3ff40c2f6b230efdb466ed2f80468d277f8d","sha256:1d60aad960edfc1a54a5ac290bdac07b783a65085dd8f3951dff409782532dce"],"state_sha256":"d6b17a26ffd268270d99809afde09feb9c16592689f84c627cd24688c8f4e48b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hEmw2REWQF5flZHCetLJbP82UnxCxSxg290QKIi1TURy9hu19+ftlx6J1e0V8setXzxVB2jbAvW//5dQLEA0BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:44:54.934885Z","bundle_sha256":"e93b14bd8518e588b75fbf89f372623da8d8d19c4b68208a20c37bcbfae256bc"}}