{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ZKY3DNSDHQL7CH5GAQSINJGW5U","short_pith_number":"pith:ZKY3DNSD","canonical_record":{"source":{"id":"1707.08918","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-27T15:58:42Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"b64a2319e3af85988589083f7a205425d1654353219b2e684d1bd2e11e072eb4","abstract_canon_sha256":"c26d2abe98bf58c093f66014a951314ba7eb5cf2343645f8c23194fcb1eafcae"},"schema_version":"1.0"},"canonical_sha256":"cab1b1b6433c17f11fa6042486a4d6ed38c980887a4004f4e6a50f5efb7e11b0","source":{"kind":"arxiv","id":"1707.08918","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08918","created_at":"2026-05-18T00:39:19Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08918v1","created_at":"2026-05-18T00:39:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08918","created_at":"2026-05-18T00:39:19Z"},{"alias_kind":"pith_short_12","alias_value":"ZKY3DNSDHQL7","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZKY3DNSDHQL7CH5G","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZKY3DNSD","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ZKY3DNSDHQL7CH5GAQSINJGW5U","target":"record","payload":{"canonical_record":{"source":{"id":"1707.08918","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-27T15:58:42Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"b64a2319e3af85988589083f7a205425d1654353219b2e684d1bd2e11e072eb4","abstract_canon_sha256":"c26d2abe98bf58c093f66014a951314ba7eb5cf2343645f8c23194fcb1eafcae"},"schema_version":"1.0"},"canonical_sha256":"cab1b1b6433c17f11fa6042486a4d6ed38c980887a4004f4e6a50f5efb7e11b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:19.104892Z","signature_b64":"Hsxd8hZUq2oGlbQn8hZgLfDcBtIxn+pqI8qMj1Yr5ISFvhfxDrQt1tlvSnI035LFrCpI/XEjgrAi+Nr/LKndCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cab1b1b6433c17f11fa6042486a4d6ed38c980887a4004f4e6a50f5efb7e11b0","last_reissued_at":"2026-05-18T00:39:19.104222Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:19.104222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.08918","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":"2026-05-18T00:39:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QaR/OHXoHyXU+841B/9afY2GUlo+1eIZlWrupn8lk2Ff3prGJixNW5zhl3yT4Xr2IzcCK6X+W04Hc0FCMGCYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:05:58.194784Z"},"content_sha256":"3ac69d3f34ebdb57ce85968b14852fd00b58925cf840e8cd3d8bb29b932024b3","schema_version":"1.0","event_id":"sha256:3ac69d3f34ebdb57ce85968b14852fd00b58925cf840e8cd3d8bb29b932024b3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ZKY3DNSDHQL7CH5GAQSINJGW5U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coloring ($P_5$, bull)-free graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"math.CO","authors_text":"Fr\\'ed\\'eric Maffray","submitted_at":"2017-07-27T15:58:42Z","abstract_excerpt":"We give a polynomial-time algorithm that computes the chromatic number of any graph that contains no path on five vertices and no bull as an induced subgraph (where the bull is the graph with five vertices $a,b,c,d,e$ and edges $ab,bc,cd,be,ce$)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08918","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":"2026-05-18T00:39:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6trA1q3K5EvCueNCrcnEDyGpCk6qShZls2qnx+WJIG6hRHLHt3FHtHxrHWinm6Tbh54VpCIjcs/h1Z/jLMUpCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:05:58.195397Z"},"content_sha256":"ac78c1015b1ca81e1391642d79da8138964dfcc765500bb436e211abc7b0627d","schema_version":"1.0","event_id":"sha256:ac78c1015b1ca81e1391642d79da8138964dfcc765500bb436e211abc7b0627d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZKY3DNSDHQL7CH5GAQSINJGW5U/bundle.json","state_url":"https://pith.science/pith/ZKY3DNSDHQL7CH5GAQSINJGW5U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZKY3DNSDHQL7CH5GAQSINJGW5U/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":"2026-05-31T09:05:58Z","links":{"resolver":"https://pith.science/pith/ZKY3DNSDHQL7CH5GAQSINJGW5U","bundle":"https://pith.science/pith/ZKY3DNSDHQL7CH5GAQSINJGW5U/bundle.json","state":"https://pith.science/pith/ZKY3DNSDHQL7CH5GAQSINJGW5U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZKY3DNSDHQL7CH5GAQSINJGW5U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZKY3DNSDHQL7CH5GAQSINJGW5U","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":"c26d2abe98bf58c093f66014a951314ba7eb5cf2343645f8c23194fcb1eafcae","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-27T15:58:42Z","title_canon_sha256":"b64a2319e3af85988589083f7a205425d1654353219b2e684d1bd2e11e072eb4"},"schema_version":"1.0","source":{"id":"1707.08918","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08918","created_at":"2026-05-18T00:39:19Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08918v1","created_at":"2026-05-18T00:39:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08918","created_at":"2026-05-18T00:39:19Z"},{"alias_kind":"pith_short_12","alias_value":"ZKY3DNSDHQL7","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZKY3DNSDHQL7CH5G","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZKY3DNSD","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:ac78c1015b1ca81e1391642d79da8138964dfcc765500bb436e211abc7b0627d","target":"graph","created_at":"2026-05-18T00:39:19Z","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":"We give a polynomial-time algorithm that computes the chromatic number of any graph that contains no path on five vertices and no bull as an induced subgraph (where the bull is the graph with five vertices $a,b,c,d,e$ and edges $ab,bc,cd,be,ce$).","authors_text":"Fr\\'ed\\'eric Maffray","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-27T15:58:42Z","title":"Coloring ($P_5$, bull)-free graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08918","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":"sha256:3ac69d3f34ebdb57ce85968b14852fd00b58925cf840e8cd3d8bb29b932024b3","target":"record","created_at":"2026-05-18T00:39:19Z","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":"c26d2abe98bf58c093f66014a951314ba7eb5cf2343645f8c23194fcb1eafcae","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-27T15:58:42Z","title_canon_sha256":"b64a2319e3af85988589083f7a205425d1654353219b2e684d1bd2e11e072eb4"},"schema_version":"1.0","source":{"id":"1707.08918","kind":"arxiv","version":1}},"canonical_sha256":"cab1b1b6433c17f11fa6042486a4d6ed38c980887a4004f4e6a50f5efb7e11b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cab1b1b6433c17f11fa6042486a4d6ed38c980887a4004f4e6a50f5efb7e11b0","first_computed_at":"2026-05-18T00:39:19.104222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:19.104222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hsxd8hZUq2oGlbQn8hZgLfDcBtIxn+pqI8qMj1Yr5ISFvhfxDrQt1tlvSnI035LFrCpI/XEjgrAi+Nr/LKndCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:19.104892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.08918","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ac69d3f34ebdb57ce85968b14852fd00b58925cf840e8cd3d8bb29b932024b3","sha256:ac78c1015b1ca81e1391642d79da8138964dfcc765500bb436e211abc7b0627d"],"state_sha256":"2b231d2a0a151a6c5c531efadb936af49e8f21b944672db2c6e1aad9237ca381"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JPdh2Bi/3glFqjxm2Q2MlqLxDLRXer8dLRxBsggYpplTI0y3oIdnn593mJCisL2y8cAmCl5ybRu2+u4Vc7FMDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T09:05:58.198223Z","bundle_sha256":"77069e4b71581106f22ffa7976764f70204011b0f6771262d98b440f580dab57"}}