{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:GYRHVFMMY2RNEJS6YDQ76MXRDU","short_pith_number":"pith:GYRHVFMM","canonical_record":{"source":{"id":"1707.07170","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-22T14:24:53Z","cross_cats_sorted":[],"title_canon_sha256":"7725c33ce4549e0af715a73f460085240f9e6b35c14ca0d362d949c380f524e7","abstract_canon_sha256":"c2430c25882a177d4fe13a11040e10b7584cf758812fd4493280d287a8c740c5"},"schema_version":"1.0"},"canonical_sha256":"36227a958cc6a2d2265ec0e1ff32f11d1275036a3dcccea5d890bfedbd27b7b0","source":{"kind":"arxiv","id":"1707.07170","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07170","created_at":"2026-05-18T00:16:14Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07170v2","created_at":"2026-05-18T00:16:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07170","created_at":"2026-05-18T00:16:14Z"},{"alias_kind":"pith_short_12","alias_value":"GYRHVFMMY2RN","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GYRHVFMMY2RNEJS6","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GYRHVFMM","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:GYRHVFMMY2RNEJS6YDQ76MXRDU","target":"record","payload":{"canonical_record":{"source":{"id":"1707.07170","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-22T14:24:53Z","cross_cats_sorted":[],"title_canon_sha256":"7725c33ce4549e0af715a73f460085240f9e6b35c14ca0d362d949c380f524e7","abstract_canon_sha256":"c2430c25882a177d4fe13a11040e10b7584cf758812fd4493280d287a8c740c5"},"schema_version":"1.0"},"canonical_sha256":"36227a958cc6a2d2265ec0e1ff32f11d1275036a3dcccea5d890bfedbd27b7b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:14.465520Z","signature_b64":"XxbtMoFy+pmBEHUiCaPWZrBieo4QqpL+u7H6x3Vel7XDpQrE1RAuJmkBOHK8qAxQckflNJRQRTuRQd+i5/37CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36227a958cc6a2d2265ec0e1ff32f11d1275036a3dcccea5d890bfedbd27b7b0","last_reissued_at":"2026-05-18T00:16:14.464814Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:14.464814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.07170","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:16:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cIR2ac83WkXZGWjNZYJY018cldlE8hqgtXLFDxMQ1qJ89DNNGBpj96UO8Tb5lglXNoY1mbmlkC9wdqe2peP5Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T10:07:57.049751Z"},"content_sha256":"973bf441d93e75c9a6478af809b2c813ef26186b242fc879da40d24b60841bc0","schema_version":"1.0","event_id":"sha256:973bf441d93e75c9a6478af809b2c813ef26186b242fc879da40d24b60841bc0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:GYRHVFMMY2RNEJS6YDQ76MXRDU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The edit distance function of some graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Yarong Wei, Yongtang Shi, Yumei Hu","submitted_at":"2017-07-22T14:24:53Z","abstract_excerpt":"The edit distance function of a hereditary property $\\mathscr{H}$ is the asymptotically largest edit distance between a graph of density $p\\in[0,1]$ and $\\mathscr{H}$. Denote by $P_n$ and $C_n$ the path graph of order $n$ and the cycle graph of order $n$, respectively. Let $C_{2n}^*$ be the cycle graph $C_{2n}$ with a diagonal, and $\\widetilde{C_n}$ be the graph with vertex set $\\{v_0, v_1, \\ldots, v_{n-1}\\}$ and $E(\\widetilde{C_n})=E(C_n)\\cup \\{v_0v_2\\}$. Marchant and Thomason determined the edit distance function of $C_6^{*}$. Peck studied the edit distance function of $C_n$, while Berikkyzy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07170","kind":"arxiv","version":2},"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":"2026-05-18T00:16:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SL32xHdjxU3IghwdsiDRCNNCAfuYLqGvfHVBkTvo7iE9J7GOHZHHzdXEhxbqQWsvNNWSqbnaTySfRn5HFHNHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T10:07:57.050329Z"},"content_sha256":"c64e7ddd7fef2e0eb850a534754a5b2e822d4c3de9255ad55b207e13752db1f5","schema_version":"1.0","event_id":"sha256:c64e7ddd7fef2e0eb850a534754a5b2e822d4c3de9255ad55b207e13752db1f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GYRHVFMMY2RNEJS6YDQ76MXRDU/bundle.json","state_url":"https://pith.science/pith/GYRHVFMMY2RNEJS6YDQ76MXRDU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GYRHVFMMY2RNEJS6YDQ76MXRDU/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":"2026-05-25T10:07:57Z","links":{"resolver":"https://pith.science/pith/GYRHVFMMY2RNEJS6YDQ76MXRDU","bundle":"https://pith.science/pith/GYRHVFMMY2RNEJS6YDQ76MXRDU/bundle.json","state":"https://pith.science/pith/GYRHVFMMY2RNEJS6YDQ76MXRDU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GYRHVFMMY2RNEJS6YDQ76MXRDU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GYRHVFMMY2RNEJS6YDQ76MXRDU","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":"c2430c25882a177d4fe13a11040e10b7584cf758812fd4493280d287a8c740c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-22T14:24:53Z","title_canon_sha256":"7725c33ce4549e0af715a73f460085240f9e6b35c14ca0d362d949c380f524e7"},"schema_version":"1.0","source":{"id":"1707.07170","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07170","created_at":"2026-05-18T00:16:14Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07170v2","created_at":"2026-05-18T00:16:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07170","created_at":"2026-05-18T00:16:14Z"},{"alias_kind":"pith_short_12","alias_value":"GYRHVFMMY2RN","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GYRHVFMMY2RNEJS6","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GYRHVFMM","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:c64e7ddd7fef2e0eb850a534754a5b2e822d4c3de9255ad55b207e13752db1f5","target":"graph","created_at":"2026-05-18T00:16:14Z","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":"The edit distance function of a hereditary property $\\mathscr{H}$ is the asymptotically largest edit distance between a graph of density $p\\in[0,1]$ and $\\mathscr{H}$. Denote by $P_n$ and $C_n$ the path graph of order $n$ and the cycle graph of order $n$, respectively. Let $C_{2n}^*$ be the cycle graph $C_{2n}$ with a diagonal, and $\\widetilde{C_n}$ be the graph with vertex set $\\{v_0, v_1, \\ldots, v_{n-1}\\}$ and $E(\\widetilde{C_n})=E(C_n)\\cup \\{v_0v_2\\}$. Marchant and Thomason determined the edit distance function of $C_6^{*}$. Peck studied the edit distance function of $C_n$, while Berikkyzy","authors_text":"Yarong Wei, Yongtang Shi, Yumei Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-22T14:24:53Z","title":"The edit distance function of some graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07170","kind":"arxiv","version":2},"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":"sha256:973bf441d93e75c9a6478af809b2c813ef26186b242fc879da40d24b60841bc0","target":"record","created_at":"2026-05-18T00:16:14Z","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":"c2430c25882a177d4fe13a11040e10b7584cf758812fd4493280d287a8c740c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-22T14:24:53Z","title_canon_sha256":"7725c33ce4549e0af715a73f460085240f9e6b35c14ca0d362d949c380f524e7"},"schema_version":"1.0","source":{"id":"1707.07170","kind":"arxiv","version":2}},"canonical_sha256":"36227a958cc6a2d2265ec0e1ff32f11d1275036a3dcccea5d890bfedbd27b7b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36227a958cc6a2d2265ec0e1ff32f11d1275036a3dcccea5d890bfedbd27b7b0","first_computed_at":"2026-05-18T00:16:14.464814Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:14.464814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XxbtMoFy+pmBEHUiCaPWZrBieo4QqpL+u7H6x3Vel7XDpQrE1RAuJmkBOHK8qAxQckflNJRQRTuRQd+i5/37CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:14.465520Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.07170","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:973bf441d93e75c9a6478af809b2c813ef26186b242fc879da40d24b60841bc0","sha256:c64e7ddd7fef2e0eb850a534754a5b2e822d4c3de9255ad55b207e13752db1f5"],"state_sha256":"dd4af6502ba0e768e4746a56295a89677d833c39539cc4962cf4aeab33e24112"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tutI2y5yfXHj0jTQMm+KH3rjzz78KgzekwM8orJA0TC3ePjgxm6mfbgKNViSnzuL2qDZFGMepB7tWTTo5cu0Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T10:07:57.053225Z","bundle_sha256":"3c98b2f81671e5cfd86858560d4cba5dfb6682d5dbc2230f09a6751cc2fd3bbd"}}