{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:AMGTIU4ND256Q62N63RCPI6PW7","short_pith_number":"pith:AMGTIU4N","canonical_record":{"source":{"id":"1810.00217","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-09-29T14:49:31Z","cross_cats_sorted":[],"title_canon_sha256":"bfcfa73799c660952af326754eeb2da7ea50739d70199124e4b3da831979dd1d","abstract_canon_sha256":"e9593e024dccf5097dded3926b916302b4d5892db546ce2902913c1b13651504"},"schema_version":"1.0"},"canonical_sha256":"030d34538d1ebbe87b4df6e227a3cfb7dcf5f1004e15bf506045e5df276cd0c0","source":{"kind":"arxiv","id":"1810.00217","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00217","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00217v1","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00217","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"pith_short_12","alias_value":"AMGTIU4ND256","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AMGTIU4ND256Q62N","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AMGTIU4N","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:AMGTIU4ND256Q62N63RCPI6PW7","target":"record","payload":{"canonical_record":{"source":{"id":"1810.00217","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-09-29T14:49:31Z","cross_cats_sorted":[],"title_canon_sha256":"bfcfa73799c660952af326754eeb2da7ea50739d70199124e4b3da831979dd1d","abstract_canon_sha256":"e9593e024dccf5097dded3926b916302b4d5892db546ce2902913c1b13651504"},"schema_version":"1.0"},"canonical_sha256":"030d34538d1ebbe87b4df6e227a3cfb7dcf5f1004e15bf506045e5df276cd0c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:28.463008Z","signature_b64":"SOf947uDP8NW4icjopO/aGu52r8sDc/TF2CYaexwfF576OWm9JUUSkY+S8DgQiynvYT8eOPU1QZKMiLfcyf/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"030d34538d1ebbe87b4df6e227a3cfb7dcf5f1004e15bf506045e5df276cd0c0","last_reissued_at":"2026-05-18T00:04:28.462414Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:28.462414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.00217","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":"2026-05-18T00:04:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OZ6gsBKT/HaViI5Q93ZRKr0KMOOAAvTY3IgpKOH3TBB5MCbYa+my/tJiyEn27MYG+gj89prI4SlVSEtm/uE0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T18:19:59.909764Z"},"content_sha256":"d0df790361660efc865b1545e71464b41df97d17a3a4dfc990643cd548010a7a","schema_version":"1.0","event_id":"sha256:d0df790361660efc865b1545e71464b41df97d17a3a4dfc990643cd548010a7a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:AMGTIU4ND256Q62N63RCPI6PW7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rainbow simplices in triangulations of manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Luis Montejano","submitted_at":"2018-09-29T14:49:31Z","abstract_excerpt":"Given a coloration of the vertices of a triangulation of a manifold, we give homological conditions on the chromatic complexes under which it is possible to obtain a rainbow simplex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00217","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":"2026-05-18T00:04:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yt5z1KYM0ClMGAnd5Sb0gCni3nq0WpZFgLWW94gsa1dVTkYJeiVAa+p3wqEmpFxXK3kyQgoVqCt+rPOeML3gCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T18:19:59.910517Z"},"content_sha256":"c9357ed48e7b5abefda0c1bcc6ba48480464eb9d3d745744f7942047652a0ac5","schema_version":"1.0","event_id":"sha256:c9357ed48e7b5abefda0c1bcc6ba48480464eb9d3d745744f7942047652a0ac5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AMGTIU4ND256Q62N63RCPI6PW7/bundle.json","state_url":"https://pith.science/pith/AMGTIU4ND256Q62N63RCPI6PW7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AMGTIU4ND256Q62N63RCPI6PW7/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":"2026-05-22T18:19:59Z","links":{"resolver":"https://pith.science/pith/AMGTIU4ND256Q62N63RCPI6PW7","bundle":"https://pith.science/pith/AMGTIU4ND256Q62N63RCPI6PW7/bundle.json","state":"https://pith.science/pith/AMGTIU4ND256Q62N63RCPI6PW7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AMGTIU4ND256Q62N63RCPI6PW7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:AMGTIU4ND256Q62N63RCPI6PW7","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":"e9593e024dccf5097dded3926b916302b4d5892db546ce2902913c1b13651504","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-09-29T14:49:31Z","title_canon_sha256":"bfcfa73799c660952af326754eeb2da7ea50739d70199124e4b3da831979dd1d"},"schema_version":"1.0","source":{"id":"1810.00217","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00217","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00217v1","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00217","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"pith_short_12","alias_value":"AMGTIU4ND256","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AMGTIU4ND256Q62N","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AMGTIU4N","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:c9357ed48e7b5abefda0c1bcc6ba48480464eb9d3d745744f7942047652a0ac5","target":"graph","created_at":"2026-05-18T00:04:28Z","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 coloration of the vertices of a triangulation of a manifold, we give homological conditions on the chromatic complexes under which it is possible to obtain a rainbow simplex","authors_text":"Luis Montejano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-09-29T14:49:31Z","title":"Rainbow simplices in triangulations of manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00217","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:d0df790361660efc865b1545e71464b41df97d17a3a4dfc990643cd548010a7a","target":"record","created_at":"2026-05-18T00:04:28Z","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":"e9593e024dccf5097dded3926b916302b4d5892db546ce2902913c1b13651504","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-09-29T14:49:31Z","title_canon_sha256":"bfcfa73799c660952af326754eeb2da7ea50739d70199124e4b3da831979dd1d"},"schema_version":"1.0","source":{"id":"1810.00217","kind":"arxiv","version":1}},"canonical_sha256":"030d34538d1ebbe87b4df6e227a3cfb7dcf5f1004e15bf506045e5df276cd0c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"030d34538d1ebbe87b4df6e227a3cfb7dcf5f1004e15bf506045e5df276cd0c0","first_computed_at":"2026-05-18T00:04:28.462414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:28.462414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SOf947uDP8NW4icjopO/aGu52r8sDc/TF2CYaexwfF576OWm9JUUSkY+S8DgQiynvYT8eOPU1QZKMiLfcyf/CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:28.463008Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.00217","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0df790361660efc865b1545e71464b41df97d17a3a4dfc990643cd548010a7a","sha256:c9357ed48e7b5abefda0c1bcc6ba48480464eb9d3d745744f7942047652a0ac5"],"state_sha256":"bad554d706d472907898b2fb08eba8b2e8930adcc3e78d2b843e69607b6d03e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+5iL3uXdhg6avZqAK4wDxDAPmhFw0t2Xm6w3scaw8yeI2lke+k4NU9OqWR7CpeoyqdQFUbptaRkcuvATAAZ7BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T18:19:59.914304Z","bundle_sha256":"de7a55dd686992af2513de5afc79edcf503539dc77c2cde6a9572b78b234769d"}}