{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:DGAEEXUBDZNCUVX4F3TLIPKSTB","short_pith_number":"pith:DGAEEXUB","canonical_record":{"source":{"id":"1905.11578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-05-28T02:39:29Z","cross_cats_sorted":[],"title_canon_sha256":"0299080c3430bc10ae2c612317635d4a1be6e2c769409e90f64d60c3eb8b9472","abstract_canon_sha256":"f4d1514dbf2b9515ee5bc11c3c3d55afed0beb93ccfae714e4da845c8526a812"},"schema_version":"1.0"},"canonical_sha256":"1980425e811e5a2a56fc2ee6b43d52985fc0af433203aff0ef547d2d40d54f31","source":{"kind":"arxiv","id":"1905.11578","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11578","created_at":"2026-07-05T02:02:30Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11578v1","created_at":"2026-07-05T02:02:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11578","created_at":"2026-07-05T02:02:30Z"},{"alias_kind":"pith_short_12","alias_value":"DGAEEXUBDZNC","created_at":"2026-07-05T02:02:30Z"},{"alias_kind":"pith_short_16","alias_value":"DGAEEXUBDZNCUVX4","created_at":"2026-07-05T02:02:30Z"},{"alias_kind":"pith_short_8","alias_value":"DGAEEXUB","created_at":"2026-07-05T02:02:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:DGAEEXUBDZNCUVX4F3TLIPKSTB","target":"record","payload":{"canonical_record":{"source":{"id":"1905.11578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-05-28T02:39:29Z","cross_cats_sorted":[],"title_canon_sha256":"0299080c3430bc10ae2c612317635d4a1be6e2c769409e90f64d60c3eb8b9472","abstract_canon_sha256":"f4d1514dbf2b9515ee5bc11c3c3d55afed0beb93ccfae714e4da845c8526a812"},"schema_version":"1.0"},"canonical_sha256":"1980425e811e5a2a56fc2ee6b43d52985fc0af433203aff0ef547d2d40d54f31","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:02:30.230451Z","signature_b64":"nIBQZy1PMQ5ha/1kE2bUrlwIlilMeCJHXuu3hVZyl9h9WlyVGDgKXdPt8jhx67PVR74qHyq6Ne8ci5U8Ckm8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1980425e811e5a2a56fc2ee6b43d52985fc0af433203aff0ef547d2d40d54f31","last_reissued_at":"2026-07-05T02:02:30.230083Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:02:30.230083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.11578","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":"2026-07-05T02:02:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SSrKa3+eWm8iUhvgEVFX9mG0EJf5GM+ARDY1N9aBJ3mrdPde6BaXt9FwrAvY9DjIclqBUT3d6/I7NN8x7XxHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T19:59:59.708410Z"},"content_sha256":"2adac974a6695c8740eb68ce6d9b43c7d3ce28040ae021e8c2b612c66d83e3e8","schema_version":"1.0","event_id":"sha256:2adac974a6695c8740eb68ce6d9b43c7d3ce28040ae021e8c2b612c66d83e3e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:DGAEEXUBDZNCUVX4F3TLIPKSTB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Circle graphs are quadratically $\\chi$-bounded","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"James Davies, Rose McCarty","submitted_at":"2019-05-28T02:39:29Z","abstract_excerpt":"We prove that the chromatic number of a circle graph with clique number $\\omega$ is at most $7\\omega^2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11578","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1905.11578/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:02:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DPHeq6i3cynJ1+tqJE8Pb1Ux62lU2eTt4IfTtAeXqWZVFnnGV7fuAGSazYtxbGrtK0+IqdG6qAStkbsJOIRlAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T19:59:59.709071Z"},"content_sha256":"e07513a3d3f58d6779e2a2a883264a46b0b45e32e535ab66af57fed33430e160","schema_version":"1.0","event_id":"sha256:e07513a3d3f58d6779e2a2a883264a46b0b45e32e535ab66af57fed33430e160"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DGAEEXUBDZNCUVX4F3TLIPKSTB/bundle.json","state_url":"https://pith.science/pith/DGAEEXUBDZNCUVX4F3TLIPKSTB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DGAEEXUBDZNCUVX4F3TLIPKSTB/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":"2026-08-16T19:59:59Z","links":{"resolver":"https://pith.science/pith/DGAEEXUBDZNCUVX4F3TLIPKSTB","bundle":"https://pith.science/pith/DGAEEXUBDZNCUVX4F3TLIPKSTB/bundle.json","state":"https://pith.science/pith/DGAEEXUBDZNCUVX4F3TLIPKSTB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DGAEEXUBDZNCUVX4F3TLIPKSTB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:DGAEEXUBDZNCUVX4F3TLIPKSTB","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":"f4d1514dbf2b9515ee5bc11c3c3d55afed0beb93ccfae714e4da845c8526a812","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-05-28T02:39:29Z","title_canon_sha256":"0299080c3430bc10ae2c612317635d4a1be6e2c769409e90f64d60c3eb8b9472"},"schema_version":"1.0","source":{"id":"1905.11578","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11578","created_at":"2026-07-05T02:02:30Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11578v1","created_at":"2026-07-05T02:02:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11578","created_at":"2026-07-05T02:02:30Z"},{"alias_kind":"pith_short_12","alias_value":"DGAEEXUBDZNC","created_at":"2026-07-05T02:02:30Z"},{"alias_kind":"pith_short_16","alias_value":"DGAEEXUBDZNCUVX4","created_at":"2026-07-05T02:02:30Z"},{"alias_kind":"pith_short_8","alias_value":"DGAEEXUB","created_at":"2026-07-05T02:02:30Z"}],"graph_snapshots":[{"event_id":"sha256:e07513a3d3f58d6779e2a2a883264a46b0b45e32e535ab66af57fed33430e160","target":"graph","created_at":"2026-07-05T02:02:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1905.11578/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that the chromatic number of a circle graph with clique number $\\omega$ is at most $7\\omega^2$.","authors_text":"James Davies, Rose McCarty","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-05-28T02:39:29Z","title":"Circle graphs are quadratically $\\chi$-bounded"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11578","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":"sha256:2adac974a6695c8740eb68ce6d9b43c7d3ce28040ae021e8c2b612c66d83e3e8","target":"record","created_at":"2026-07-05T02:02:30Z","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":"f4d1514dbf2b9515ee5bc11c3c3d55afed0beb93ccfae714e4da845c8526a812","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-05-28T02:39:29Z","title_canon_sha256":"0299080c3430bc10ae2c612317635d4a1be6e2c769409e90f64d60c3eb8b9472"},"schema_version":"1.0","source":{"id":"1905.11578","kind":"arxiv","version":1}},"canonical_sha256":"1980425e811e5a2a56fc2ee6b43d52985fc0af433203aff0ef547d2d40d54f31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1980425e811e5a2a56fc2ee6b43d52985fc0af433203aff0ef547d2d40d54f31","first_computed_at":"2026-07-05T02:02:30.230083Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:02:30.230083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nIBQZy1PMQ5ha/1kE2bUrlwIlilMeCJHXuu3hVZyl9h9WlyVGDgKXdPt8jhx67PVR74qHyq6Ne8ci5U8Ckm8Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T02:02:30.230451Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.11578","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2adac974a6695c8740eb68ce6d9b43c7d3ce28040ae021e8c2b612c66d83e3e8","sha256:e07513a3d3f58d6779e2a2a883264a46b0b45e32e535ab66af57fed33430e160"],"state_sha256":"d452b62f5fed3f0e0a2164a967237a88574bd0940a4936883bb17abaa89f1c9e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5JoTGy4hB4YX3U0+IAWkkam4eF4PKlwU7EP1vE2BQyi2jBtb/U09D1EX+h7qEcainKopnGGxJXaUSNxsolIVAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T19:59:59.714712Z","bundle_sha256":"a3efbe96c4d545476baaef052fda2196b380a5ec1166dc92eddb344a9df8a335"}}