{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:SEAN7LM5I4MS7ANYNPQF3D4WHS","short_pith_number":"pith:SEAN7LM5","canonical_record":{"source":{"id":"1406.5376","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2014-06-20T13:21:58Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"56f95c5ed6595c8418b2fec9171c91be1ab3002d2b2e781c45427339932c9e89","abstract_canon_sha256":"7cf45cfd99fd1b67b998ae66602df84ae67e8ed9765f579a718ce56ebb530734"},"schema_version":"1.0"},"canonical_sha256":"9100dfad9d47192f81b86be05d8f963c906ba3058824d1a74b3e0ca22453e6fd","source":{"kind":"arxiv","id":"1406.5376","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5376","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5376v1","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5376","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"pith_short_12","alias_value":"SEAN7LM5I4MS","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SEAN7LM5I4MS7ANY","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SEAN7LM5","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:SEAN7LM5I4MS7ANYNPQF3D4WHS","target":"record","payload":{"canonical_record":{"source":{"id":"1406.5376","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2014-06-20T13:21:58Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"56f95c5ed6595c8418b2fec9171c91be1ab3002d2b2e781c45427339932c9e89","abstract_canon_sha256":"7cf45cfd99fd1b67b998ae66602df84ae67e8ed9765f579a718ce56ebb530734"},"schema_version":"1.0"},"canonical_sha256":"9100dfad9d47192f81b86be05d8f963c906ba3058824d1a74b3e0ca22453e6fd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:19.240964Z","signature_b64":"08eh6kvc9Qz3dWC9mBICrydsgf33OGt/XgAabJN0lGMi5aJEYc7kZm65SCWXbtipe280bigWrPLlwW1bhF/zCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9100dfad9d47192f81b86be05d8f963c906ba3058824d1a74b3e0ca22453e6fd","last_reissued_at":"2026-05-18T02:49:19.240371Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:19.240371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.5376","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":"2026-05-18T02:49:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qsTRkWlBAxd5pEWudzOlF/oBHCVlr9TmnA7GyPFzsQt+l+YxeDdqwIfi6ndocyj6ixdgIVH7Ady5KFSnYY/pDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:17:54.911447Z"},"content_sha256":"c02089272c997dd11cb4cfa7b5cc0bb02b13c35d1122b5821e2796cdd9eb33a7","schema_version":"1.0","event_id":"sha256:c02089272c997dd11cb4cfa7b5cc0bb02b13c35d1122b5821e2796cdd9eb33a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:SEAN7LM5I4MS7ANYNPQF3D4WHS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Proper Hamiltonian Paths in Edge-Coloured Multigraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"cs.DM","authors_text":"Gervais Mendy, Leandro Montero, Marina Groshaus, Raquel \\'Agueda, Valentin Borozan, Yannis Manoussakis","submitted_at":"2014-06-20T13:21:58Z","abstract_excerpt":"Given a $c$-edge-coloured multigraph, a proper Hamiltonian path is a path that contains all the vertices of the multigraph such that no two adjacent edges have the same colour. In this work we establish sufficient conditions for an edge-coloured multigraph to guarantee the existence of a proper Hamiltonian path, involving various parameters as the number of edges, the number of colours, the rainbow degree and the connectivity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5376","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":"2026-05-18T02:49:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xXMjs5nO4Xb0sVf+NVIEDOKDBYgeUWbEl1mTAgIieU2WpCFUaDom9/pWxSWEirKi8uR8mtMiiLo23/7hjHjXCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:17:54.912023Z"},"content_sha256":"e70a68cac52de1a7e1d4431a68853311fbe058806a3bdff78a983eaeaedc4c20","schema_version":"1.0","event_id":"sha256:e70a68cac52de1a7e1d4431a68853311fbe058806a3bdff78a983eaeaedc4c20"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SEAN7LM5I4MS7ANYNPQF3D4WHS/bundle.json","state_url":"https://pith.science/pith/SEAN7LM5I4MS7ANYNPQF3D4WHS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SEAN7LM5I4MS7ANYNPQF3D4WHS/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":"2026-05-25T22:17:54Z","links":{"resolver":"https://pith.science/pith/SEAN7LM5I4MS7ANYNPQF3D4WHS","bundle":"https://pith.science/pith/SEAN7LM5I4MS7ANYNPQF3D4WHS/bundle.json","state":"https://pith.science/pith/SEAN7LM5I4MS7ANYNPQF3D4WHS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SEAN7LM5I4MS7ANYNPQF3D4WHS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SEAN7LM5I4MS7ANYNPQF3D4WHS","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":"7cf45cfd99fd1b67b998ae66602df84ae67e8ed9765f579a718ce56ebb530734","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2014-06-20T13:21:58Z","title_canon_sha256":"56f95c5ed6595c8418b2fec9171c91be1ab3002d2b2e781c45427339932c9e89"},"schema_version":"1.0","source":{"id":"1406.5376","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5376","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5376v1","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5376","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"pith_short_12","alias_value":"SEAN7LM5I4MS","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SEAN7LM5I4MS7ANY","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SEAN7LM5","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:e70a68cac52de1a7e1d4431a68853311fbe058806a3bdff78a983eaeaedc4c20","target":"graph","created_at":"2026-05-18T02:49:19Z","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":"Given a $c$-edge-coloured multigraph, a proper Hamiltonian path is a path that contains all the vertices of the multigraph such that no two adjacent edges have the same colour. In this work we establish sufficient conditions for an edge-coloured multigraph to guarantee the existence of a proper Hamiltonian path, involving various parameters as the number of edges, the number of colours, the rainbow degree and the connectivity.","authors_text":"Gervais Mendy, Leandro Montero, Marina Groshaus, Raquel \\'Agueda, Valentin Borozan, Yannis Manoussakis","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2014-06-20T13:21:58Z","title":"Proper Hamiltonian Paths in Edge-Coloured Multigraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5376","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:c02089272c997dd11cb4cfa7b5cc0bb02b13c35d1122b5821e2796cdd9eb33a7","target":"record","created_at":"2026-05-18T02:49:19Z","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":"7cf45cfd99fd1b67b998ae66602df84ae67e8ed9765f579a718ce56ebb530734","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2014-06-20T13:21:58Z","title_canon_sha256":"56f95c5ed6595c8418b2fec9171c91be1ab3002d2b2e781c45427339932c9e89"},"schema_version":"1.0","source":{"id":"1406.5376","kind":"arxiv","version":1}},"canonical_sha256":"9100dfad9d47192f81b86be05d8f963c906ba3058824d1a74b3e0ca22453e6fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9100dfad9d47192f81b86be05d8f963c906ba3058824d1a74b3e0ca22453e6fd","first_computed_at":"2026-05-18T02:49:19.240371Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:19.240371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"08eh6kvc9Qz3dWC9mBICrydsgf33OGt/XgAabJN0lGMi5aJEYc7kZm65SCWXbtipe280bigWrPLlwW1bhF/zCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:19.240964Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5376","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c02089272c997dd11cb4cfa7b5cc0bb02b13c35d1122b5821e2796cdd9eb33a7","sha256:e70a68cac52de1a7e1d4431a68853311fbe058806a3bdff78a983eaeaedc4c20"],"state_sha256":"5df54aa247d3f95645c3e8b20b895acbd2a42a6c407393282fc95f49d3668267"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RdvJXi6KFCykwRz9za44bcz1IHjikm5WbN3AycQqAL06k9P6ddAIYi2SyRI8Kks0IjoVQj99aevfgV5s3pDnBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:17:54.915041Z","bundle_sha256":"65c98e4628874c02774ee1fe52d9a1ed714185b6868e5896ee4f679ad54968fc"}}