{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:LB4F5MAO5ROQLIJKZWJTCA5IB6","short_pith_number":"pith:LB4F5MAO","canonical_record":{"source":{"id":"2505.02736","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2025-05-05T15:37:06Z","cross_cats_sorted":[],"title_canon_sha256":"b5404bd530ea0ed68b444c68e5fbb38fb32f2fe2d9ee87b339b4be1e9fcad6d8","abstract_canon_sha256":"8367389c5ac1ea76fe7e2ff11d85792a86af1fadcff441c81443f4a115b7ab61"},"schema_version":"1.0"},"canonical_sha256":"58785eb00eec5d05a12acd933103a80f8f02622593021b45e44fe0037665b399","source":{"kind":"arxiv","id":"2505.02736","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.02736","created_at":"2026-07-05T10:58:42Z"},{"alias_kind":"arxiv_version","alias_value":"2505.02736v1","created_at":"2026-07-05T10:58:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.02736","created_at":"2026-07-05T10:58:42Z"},{"alias_kind":"pith_short_12","alias_value":"LB4F5MAO5ROQ","created_at":"2026-07-05T10:58:42Z"},{"alias_kind":"pith_short_16","alias_value":"LB4F5MAO5ROQLIJK","created_at":"2026-07-05T10:58:42Z"},{"alias_kind":"pith_short_8","alias_value":"LB4F5MAO","created_at":"2026-07-05T10:58:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:LB4F5MAO5ROQLIJKZWJTCA5IB6","target":"record","payload":{"canonical_record":{"source":{"id":"2505.02736","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2025-05-05T15:37:06Z","cross_cats_sorted":[],"title_canon_sha256":"b5404bd530ea0ed68b444c68e5fbb38fb32f2fe2d9ee87b339b4be1e9fcad6d8","abstract_canon_sha256":"8367389c5ac1ea76fe7e2ff11d85792a86af1fadcff441c81443f4a115b7ab61"},"schema_version":"1.0"},"canonical_sha256":"58785eb00eec5d05a12acd933103a80f8f02622593021b45e44fe0037665b399","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:58:42.273686Z","signature_b64":"2E5aCbjut+mss/EmaLgSJGYc4GeJ+oOOAxcowdSJQzSlVPYFCQxRK4+wjXh8qgiI0dYLFVY9+QpFG9yZnR+3AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58785eb00eec5d05a12acd933103a80f8f02622593021b45e44fe0037665b399","last_reissued_at":"2026-07-05T10:58:42.273215Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:58:42.273215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.02736","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":"2026-07-05T10:58:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+XIDo55iq0o05Eq5P/L0zjfzp33iuYv+G2b68qV0k2qKFqgzGQDxlL3fsQrn3GHTuht3GdOSkxUpLDhp8Z99Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T05:08:44.147300Z"},"content_sha256":"273f1815a0db49c25aaa16778002a74546e02a4acdb08b31eaae00ce88ed40ee","schema_version":"1.0","event_id":"sha256:273f1815a0db49c25aaa16778002a74546e02a4acdb08b31eaae00ce88ed40ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:LB4F5MAO5ROQLIJKZWJTCA5IB6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strong odd coloring in minor-closed classes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Fabian Klute, Irene Parada, Juan Pablo Pe\\~na, Kolja Knauer, Miriam Goetze, Torsten Ueckerdt","submitted_at":"2025-05-05T15:37:06Z","abstract_excerpt":"We show that the strong odd chromatic number on any proper minor-closed graph class is bounded by a constant. We almost determine the smallest such constant for outerplanar graphs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.02736","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/2505.02736/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":"2026-07-05T10:58:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pY3rQRTacp1pvputssKvR5d4nvB+mjYtjvaeE2mRjprZWHgwowPRqm983goILJ9zCwodPkDuur54xupXnZNsCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T05:08:44.147799Z"},"content_sha256":"92f085a4a322bf11903a2933796554c11530bdac6c0e9d3870885dd6523ab62d","schema_version":"1.0","event_id":"sha256:92f085a4a322bf11903a2933796554c11530bdac6c0e9d3870885dd6523ab62d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LB4F5MAO5ROQLIJKZWJTCA5IB6/bundle.json","state_url":"https://pith.science/pith/LB4F5MAO5ROQLIJKZWJTCA5IB6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LB4F5MAO5ROQLIJKZWJTCA5IB6/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":"2026-08-08T05:08:44Z","links":{"resolver":"https://pith.science/pith/LB4F5MAO5ROQLIJKZWJTCA5IB6","bundle":"https://pith.science/pith/LB4F5MAO5ROQLIJKZWJTCA5IB6/bundle.json","state":"https://pith.science/pith/LB4F5MAO5ROQLIJKZWJTCA5IB6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LB4F5MAO5ROQLIJKZWJTCA5IB6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:LB4F5MAO5ROQLIJKZWJTCA5IB6","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":"8367389c5ac1ea76fe7e2ff11d85792a86af1fadcff441c81443f4a115b7ab61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2025-05-05T15:37:06Z","title_canon_sha256":"b5404bd530ea0ed68b444c68e5fbb38fb32f2fe2d9ee87b339b4be1e9fcad6d8"},"schema_version":"1.0","source":{"id":"2505.02736","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.02736","created_at":"2026-07-05T10:58:42Z"},{"alias_kind":"arxiv_version","alias_value":"2505.02736v1","created_at":"2026-07-05T10:58:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.02736","created_at":"2026-07-05T10:58:42Z"},{"alias_kind":"pith_short_12","alias_value":"LB4F5MAO5ROQ","created_at":"2026-07-05T10:58:42Z"},{"alias_kind":"pith_short_16","alias_value":"LB4F5MAO5ROQLIJK","created_at":"2026-07-05T10:58:42Z"},{"alias_kind":"pith_short_8","alias_value":"LB4F5MAO","created_at":"2026-07-05T10:58:42Z"}],"graph_snapshots":[{"event_id":"sha256:92f085a4a322bf11903a2933796554c11530bdac6c0e9d3870885dd6523ab62d","target":"graph","created_at":"2026-07-05T10:58:42Z","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/2505.02736/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the strong odd chromatic number on any proper minor-closed graph class is bounded by a constant. We almost determine the smallest such constant for outerplanar graphs.","authors_text":"Fabian Klute, Irene Parada, Juan Pablo Pe\\~na, Kolja Knauer, Miriam Goetze, Torsten Ueckerdt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2025-05-05T15:37:06Z","title":"Strong odd coloring in minor-closed classes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.02736","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":"sha256:273f1815a0db49c25aaa16778002a74546e02a4acdb08b31eaae00ce88ed40ee","target":"record","created_at":"2026-07-05T10:58:42Z","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":"8367389c5ac1ea76fe7e2ff11d85792a86af1fadcff441c81443f4a115b7ab61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2025-05-05T15:37:06Z","title_canon_sha256":"b5404bd530ea0ed68b444c68e5fbb38fb32f2fe2d9ee87b339b4be1e9fcad6d8"},"schema_version":"1.0","source":{"id":"2505.02736","kind":"arxiv","version":1}},"canonical_sha256":"58785eb00eec5d05a12acd933103a80f8f02622593021b45e44fe0037665b399","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58785eb00eec5d05a12acd933103a80f8f02622593021b45e44fe0037665b399","first_computed_at":"2026-07-05T10:58:42.273215Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:58:42.273215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2E5aCbjut+mss/EmaLgSJGYc4GeJ+oOOAxcowdSJQzSlVPYFCQxRK4+wjXh8qgiI0dYLFVY9+QpFG9yZnR+3AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:58:42.273686Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.02736","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:273f1815a0db49c25aaa16778002a74546e02a4acdb08b31eaae00ce88ed40ee","sha256:92f085a4a322bf11903a2933796554c11530bdac6c0e9d3870885dd6523ab62d"],"state_sha256":"622c9d597aece3dfd9b49465ab16553897867012ecf2aaff46cd58be102c533b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"54+QiqCP88jS/ZE2VcZDLQ5Zd4Ws8Nv4BQJgwbxzbXWf8LJlWIH4icUb14lhtnMuV/oLrMZqSdix//H1F6eTAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T05:08:44.152797Z","bundle_sha256":"e2b6d3748f66953d57729291e155654b7866c6ea13e5e8c70acc479e44bb5a4c"}}