{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:C2WQULJO4WSSITIGV3KADEOIJ5","short_pith_number":"pith:C2WQULJO","canonical_record":{"source":{"id":"1109.6521","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-09-29T13:20:10Z","cross_cats_sorted":[],"title_canon_sha256":"c81110c7fc0cfc05938a00b469990d8b9166db1d7580ce8639df7c6a6ccfd636","abstract_canon_sha256":"5b682b1b60d5b73b0ff1159a3fa8a59a085b8a068dd058851544da8e54294222"},"schema_version":"1.0"},"canonical_sha256":"16ad0a2d2ee5a5244d06aed40191c84f7bca050e0a21f15e7f42e0cfcc0382e7","source":{"kind":"arxiv","id":"1109.6521","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6521","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6521v1","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6521","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"pith_short_12","alias_value":"C2WQULJO4WSS","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"C2WQULJO4WSSITIG","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"C2WQULJO","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:C2WQULJO4WSSITIGV3KADEOIJ5","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6521","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-09-29T13:20:10Z","cross_cats_sorted":[],"title_canon_sha256":"c81110c7fc0cfc05938a00b469990d8b9166db1d7580ce8639df7c6a6ccfd636","abstract_canon_sha256":"5b682b1b60d5b73b0ff1159a3fa8a59a085b8a068dd058851544da8e54294222"},"schema_version":"1.0"},"canonical_sha256":"16ad0a2d2ee5a5244d06aed40191c84f7bca050e0a21f15e7f42e0cfcc0382e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:01.397777Z","signature_b64":"rwSIMw4blnypaAmmYOGjomSmj0BGMAea5RFNExfsu+mxJ3FJzRxFVZ4fduaktKOeA7xRTIc+WNyWMdHwjl2OCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16ad0a2d2ee5a5244d06aed40191c84f7bca050e0a21f15e7f42e0cfcc0382e7","last_reissued_at":"2026-05-18T04:12:01.397301Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:01.397301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6521","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":"2026-05-18T04:12:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kgnvwYiJyCeB59ouHMKL2NXswr3ZExZhoS6uIk5yEe9VuIpRpbPZU0W5H/P5lnxz0LrmuWuhUnSvA34APSCFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:56:31.450200Z"},"content_sha256":"63eef65233484f031a504ed6027543e0ead1d275eafe91545d2bd87372a1eaf5","schema_version":"1.0","event_id":"sha256:63eef65233484f031a504ed6027543e0ead1d275eafe91545d2bd87372a1eaf5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:C2WQULJO4WSSITIGV3KADEOIJ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cyclic Matching Sequencibility of Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Kathleen P. Kiernan, Michael W. Schroeder, Richard A. Brualdi, Seth A. Meyer","submitted_at":"2011-09-29T13:20:10Z","abstract_excerpt":"We define the cyclic matching sequencibility of a graph to be the largest integer $d$ such that there exists a cyclic ordering of its edges so that every $d$ consecutive edges in the cyclic ordering form a matching. We show that the cyclic matching sequencibility of $K_{2m}$ and $K_{2m+1}$ equal $m-1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6521","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":"2026-05-18T04:12:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fVuf9GhD3y2VQaP1DBq8p+D0MZmZgXSvPl4TI6F/DihrUudOLmU+FQB8HOI6S8i/vVOe+Ij608AolYebMdjTBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:56:31.450852Z"},"content_sha256":"295952c8cb43c50623b1ae650ab49a948d65eceea0f62dbd66e519c202cffb6e","schema_version":"1.0","event_id":"sha256:295952c8cb43c50623b1ae650ab49a948d65eceea0f62dbd66e519c202cffb6e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C2WQULJO4WSSITIGV3KADEOIJ5/bundle.json","state_url":"https://pith.science/pith/C2WQULJO4WSSITIGV3KADEOIJ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C2WQULJO4WSSITIGV3KADEOIJ5/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":"2026-05-27T17:56:31Z","links":{"resolver":"https://pith.science/pith/C2WQULJO4WSSITIGV3KADEOIJ5","bundle":"https://pith.science/pith/C2WQULJO4WSSITIGV3KADEOIJ5/bundle.json","state":"https://pith.science/pith/C2WQULJO4WSSITIGV3KADEOIJ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C2WQULJO4WSSITIGV3KADEOIJ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:C2WQULJO4WSSITIGV3KADEOIJ5","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":"5b682b1b60d5b73b0ff1159a3fa8a59a085b8a068dd058851544da8e54294222","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-09-29T13:20:10Z","title_canon_sha256":"c81110c7fc0cfc05938a00b469990d8b9166db1d7580ce8639df7c6a6ccfd636"},"schema_version":"1.0","source":{"id":"1109.6521","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6521","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6521v1","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6521","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"pith_short_12","alias_value":"C2WQULJO4WSS","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"C2WQULJO4WSSITIG","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"C2WQULJO","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:295952c8cb43c50623b1ae650ab49a948d65eceea0f62dbd66e519c202cffb6e","target":"graph","created_at":"2026-05-18T04:12:01Z","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 define the cyclic matching sequencibility of a graph to be the largest integer $d$ such that there exists a cyclic ordering of its edges so that every $d$ consecutive edges in the cyclic ordering form a matching. We show that the cyclic matching sequencibility of $K_{2m}$ and $K_{2m+1}$ equal $m-1$.","authors_text":"Kathleen P. Kiernan, Michael W. Schroeder, Richard A. Brualdi, Seth A. Meyer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-09-29T13:20:10Z","title":"Cyclic Matching Sequencibility of Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6521","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":"sha256:63eef65233484f031a504ed6027543e0ead1d275eafe91545d2bd87372a1eaf5","target":"record","created_at":"2026-05-18T04:12:01Z","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":"5b682b1b60d5b73b0ff1159a3fa8a59a085b8a068dd058851544da8e54294222","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-09-29T13:20:10Z","title_canon_sha256":"c81110c7fc0cfc05938a00b469990d8b9166db1d7580ce8639df7c6a6ccfd636"},"schema_version":"1.0","source":{"id":"1109.6521","kind":"arxiv","version":1}},"canonical_sha256":"16ad0a2d2ee5a5244d06aed40191c84f7bca050e0a21f15e7f42e0cfcc0382e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16ad0a2d2ee5a5244d06aed40191c84f7bca050e0a21f15e7f42e0cfcc0382e7","first_computed_at":"2026-05-18T04:12:01.397301Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:01.397301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rwSIMw4blnypaAmmYOGjomSmj0BGMAea5RFNExfsu+mxJ3FJzRxFVZ4fduaktKOeA7xRTIc+WNyWMdHwjl2OCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:01.397777Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6521","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63eef65233484f031a504ed6027543e0ead1d275eafe91545d2bd87372a1eaf5","sha256:295952c8cb43c50623b1ae650ab49a948d65eceea0f62dbd66e519c202cffb6e"],"state_sha256":"30cf84bbb1f474201bf48966aa4e1b9c219932a9453c919d1c00823d72352e30"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YWge5Y0V2MtiDG1jU+BbTqeP23pZpOCKIC56slLaDfDNQp/8ML3vzFIkiPVyvBh1QbZjFOhSc+TfZocmuezrAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:56:31.454036Z","bundle_sha256":"7c9fd18eb6e904d624999ba7c38845067d6565c0fa61ac40dbe9b7b5dc2af768"}}