{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:FPJEUCPPM7IW4OSQRY2JB73PBS","short_pith_number":"pith:FPJEUCPP","canonical_record":{"source":{"id":"1812.09684","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-12-23T10:18:49Z","cross_cats_sorted":[],"title_canon_sha256":"2f93669bdfec4ce8e1d0331d6831c0fabc9746e02f0df9e4310a60bfed62a519","abstract_canon_sha256":"455ef8b86ae44876679435e07ec077313a9bf532808c9e89dd0b91e35fd61f2d"},"schema_version":"1.0"},"canonical_sha256":"2bd24a09ef67d16e3a508e3490ff6f0c9d16642caafe3840d9c6dc00ebaee78f","source":{"kind":"arxiv","id":"1812.09684","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09684","created_at":"2026-05-17T23:57:27Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09684v1","created_at":"2026-05-17T23:57:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09684","created_at":"2026-05-17T23:57:27Z"},{"alias_kind":"pith_short_12","alias_value":"FPJEUCPPM7IW","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FPJEUCPPM7IW4OSQ","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FPJEUCPP","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:FPJEUCPPM7IW4OSQRY2JB73PBS","target":"record","payload":{"canonical_record":{"source":{"id":"1812.09684","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-12-23T10:18:49Z","cross_cats_sorted":[],"title_canon_sha256":"2f93669bdfec4ce8e1d0331d6831c0fabc9746e02f0df9e4310a60bfed62a519","abstract_canon_sha256":"455ef8b86ae44876679435e07ec077313a9bf532808c9e89dd0b91e35fd61f2d"},"schema_version":"1.0"},"canonical_sha256":"2bd24a09ef67d16e3a508e3490ff6f0c9d16642caafe3840d9c6dc00ebaee78f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:27.118513Z","signature_b64":"qm2ntgHLnl5CoGK1JYPiHkUJ2NptHXM2PX5JrgMG3kPIisxRxdHtvD7+UzpexDdD8tOh1o9WYIa1OlgeVjCFAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2bd24a09ef67d16e3a508e3490ff6f0c9d16642caafe3840d9c6dc00ebaee78f","last_reissued_at":"2026-05-17T23:57:27.117723Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:27.117723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.09684","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":"2026-05-17T23:57:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"chU7jO5lTCYCdPoLJJcRMmdgiCsDSVXPoHFQCHL5JejxWN9EAEPg05IAZ6Cs/fhbgO1URBf2C7c1oD7l2vx0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T21:09:47.976997Z"},"content_sha256":"cda775955c1afafd15d6321b78a7f367c3aef6b362723239b8997465ac7e972a","schema_version":"1.0","event_id":"sha256:cda775955c1afafd15d6321b78a7f367c3aef6b362723239b8997465ac7e972a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:FPJEUCPPM7IW4OSQRY2JB73PBS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On DP-Coloring of Digraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"J{\\o}rgen Bang-Jensen, Michael Stiebitz, Thomas Bellitto, Thomas Schweser","submitted_at":"2018-12-23T10:18:49Z","abstract_excerpt":"DP-coloring is a relatively new coloring concept by Dvo\\v{r}\\'ak and Postle and was introduced as an extension of list-colorings of (undirected) graphs. It transforms the problem of finding a list-coloring of a given graph $G$ with a list-assignment $L$ to finding an independent transversal in an auxiliary graph with vertex set $\\{(v,c) ~|~ v \\in V(G), c \\in L(v)\\}$. In this paper, we extend the definition of DP-colorings to digraphs using the approach from Neumann-Lara where a coloring of a digraph is a coloring of the vertices such that the digraph does not contain any monochromatic directed"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09684","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":"2026-05-17T23:57:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H4rOS5zMmoFz7sB2ax5A5RASGboyFn2qxFhU4QbZa0l7249ROyu/vnl/YkAaMshy69ez7PhKM+uS221TACJtBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T21:09:47.977346Z"},"content_sha256":"2a3339656f822403c3b6f3f11098fbed1298219d2e115bb887441887eb6ee47b","schema_version":"1.0","event_id":"sha256:2a3339656f822403c3b6f3f11098fbed1298219d2e115bb887441887eb6ee47b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FPJEUCPPM7IW4OSQRY2JB73PBS/bundle.json","state_url":"https://pith.science/pith/FPJEUCPPM7IW4OSQRY2JB73PBS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FPJEUCPPM7IW4OSQRY2JB73PBS/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":"2026-07-03T21:09:47Z","links":{"resolver":"https://pith.science/pith/FPJEUCPPM7IW4OSQRY2JB73PBS","bundle":"https://pith.science/pith/FPJEUCPPM7IW4OSQRY2JB73PBS/bundle.json","state":"https://pith.science/pith/FPJEUCPPM7IW4OSQRY2JB73PBS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FPJEUCPPM7IW4OSQRY2JB73PBS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FPJEUCPPM7IW4OSQRY2JB73PBS","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":"455ef8b86ae44876679435e07ec077313a9bf532808c9e89dd0b91e35fd61f2d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-12-23T10:18:49Z","title_canon_sha256":"2f93669bdfec4ce8e1d0331d6831c0fabc9746e02f0df9e4310a60bfed62a519"},"schema_version":"1.0","source":{"id":"1812.09684","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09684","created_at":"2026-05-17T23:57:27Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09684v1","created_at":"2026-05-17T23:57:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09684","created_at":"2026-05-17T23:57:27Z"},{"alias_kind":"pith_short_12","alias_value":"FPJEUCPPM7IW","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FPJEUCPPM7IW4OSQ","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FPJEUCPP","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:2a3339656f822403c3b6f3f11098fbed1298219d2e115bb887441887eb6ee47b","target":"graph","created_at":"2026-05-17T23:57:27Z","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":"DP-coloring is a relatively new coloring concept by Dvo\\v{r}\\'ak and Postle and was introduced as an extension of list-colorings of (undirected) graphs. It transforms the problem of finding a list-coloring of a given graph $G$ with a list-assignment $L$ to finding an independent transversal in an auxiliary graph with vertex set $\\{(v,c) ~|~ v \\in V(G), c \\in L(v)\\}$. In this paper, we extend the definition of DP-colorings to digraphs using the approach from Neumann-Lara where a coloring of a digraph is a coloring of the vertices such that the digraph does not contain any monochromatic directed","authors_text":"J{\\o}rgen Bang-Jensen, Michael Stiebitz, Thomas Bellitto, Thomas Schweser","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-12-23T10:18:49Z","title":"On DP-Coloring of Digraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09684","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:cda775955c1afafd15d6321b78a7f367c3aef6b362723239b8997465ac7e972a","target":"record","created_at":"2026-05-17T23:57:27Z","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":"455ef8b86ae44876679435e07ec077313a9bf532808c9e89dd0b91e35fd61f2d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-12-23T10:18:49Z","title_canon_sha256":"2f93669bdfec4ce8e1d0331d6831c0fabc9746e02f0df9e4310a60bfed62a519"},"schema_version":"1.0","source":{"id":"1812.09684","kind":"arxiv","version":1}},"canonical_sha256":"2bd24a09ef67d16e3a508e3490ff6f0c9d16642caafe3840d9c6dc00ebaee78f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2bd24a09ef67d16e3a508e3490ff6f0c9d16642caafe3840d9c6dc00ebaee78f","first_computed_at":"2026-05-17T23:57:27.117723Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:27.117723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qm2ntgHLnl5CoGK1JYPiHkUJ2NptHXM2PX5JrgMG3kPIisxRxdHtvD7+UzpexDdD8tOh1o9WYIa1OlgeVjCFAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:27.118513Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.09684","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cda775955c1afafd15d6321b78a7f367c3aef6b362723239b8997465ac7e972a","sha256:2a3339656f822403c3b6f3f11098fbed1298219d2e115bb887441887eb6ee47b"],"state_sha256":"07e2f2c853b197308fae12244b8d10c11f77ddede00c09691b35296fb03947df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l4SjtJe2XfmlLByaH+WXTMyWqjGlBF2eAoAN92mqGLoaqogWTEFvgD510yfFdzVHC2pHFQTZTWJHHQttKIFxDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T21:09:47.979226Z","bundle_sha256":"491df9e281c2cd8961a8f349387eae3bfca9318b191fe863d7e2ff011049aa87"}}