{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:B4PQ3KFFGODVJ6RA5HK2BBURCL","short_pith_number":"pith:B4PQ3KFF","canonical_record":{"source":{"id":"1601.02354","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2016-01-11T08:05:11Z","cross_cats_sorted":[],"title_canon_sha256":"0698c48b2089d700a1df530bf2a22f6496d30f50e3c28f7296f94a753ed60389","abstract_canon_sha256":"8a4847feed0ae330a21bb8e312e0993d52a15bcc40834a06a7ed8b4c3334dbc2"},"schema_version":"1.0"},"canonical_sha256":"0f1f0da8a5338754fa20e9d5a0869112c0d19112c5b9af21014f6746f6907d4f","source":{"kind":"arxiv","id":"1601.02354","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.02354","created_at":"2026-05-18T01:23:06Z"},{"alias_kind":"arxiv_version","alias_value":"1601.02354v1","created_at":"2026-05-18T01:23:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.02354","created_at":"2026-05-18T01:23:06Z"},{"alias_kind":"pith_short_12","alias_value":"B4PQ3KFFGODV","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B4PQ3KFFGODVJ6RA","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B4PQ3KFF","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:B4PQ3KFFGODVJ6RA5HK2BBURCL","target":"record","payload":{"canonical_record":{"source":{"id":"1601.02354","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2016-01-11T08:05:11Z","cross_cats_sorted":[],"title_canon_sha256":"0698c48b2089d700a1df530bf2a22f6496d30f50e3c28f7296f94a753ed60389","abstract_canon_sha256":"8a4847feed0ae330a21bb8e312e0993d52a15bcc40834a06a7ed8b4c3334dbc2"},"schema_version":"1.0"},"canonical_sha256":"0f1f0da8a5338754fa20e9d5a0869112c0d19112c5b9af21014f6746f6907d4f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:06.642068Z","signature_b64":"hPUXUtqVnGBctaKvKHAtpWw//w/yspEcdEZUPBhRh6vcqffq4siZlWo9FKZsAevW+t1/+eCcvQAUOhBR8Cd8Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f1f0da8a5338754fa20e9d5a0869112c0d19112c5b9af21014f6746f6907d4f","last_reissued_at":"2026-05-18T01:23:06.641638Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:06.641638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.02354","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":"2026-05-18T01:23:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F5stbRuvjNREqFNGJM7Js12mjc2369hcTyjjmdtxvD2ULm/h0t/MHWEnQ+/OC64kX/vV9f6epwf16ffeSjrACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:38:31.405420Z"},"content_sha256":"83104faafdb9b16c02e84242e7361ec4b6c0d8e7f0c0cfecf047e637014a3214","schema_version":"1.0","event_id":"sha256:83104faafdb9b16c02e84242e7361ec4b6c0d8e7f0c0cfecf047e637014a3214"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:B4PQ3KFFGODVJ6RA5HK2BBURCL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cospectral lifts of graphs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"F. Ramezani","submitted_at":"2016-01-11T08:05:11Z","abstract_excerpt":"We prove that for a pair of cospectral graphs G and H, there exist their non trivial lifts G0 and H0 which are cospectral. More over for a pair of cospectral graphs on 6 vertices, we find some cospectral lifts of them."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.02354","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":"2026-05-18T01:23:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J+J1hBvmtkSz5UjXRGXXL+v0KhCh598R7EdcG4jpbGPoUyCbwmnJX5kp9/cj09g8Da27FxMGWT5uSf+Ox55/Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:38:31.406117Z"},"content_sha256":"08aa32acf38d44cba083b5cd735215f733b5d3b797284358993a3ad60099d742","schema_version":"1.0","event_id":"sha256:08aa32acf38d44cba083b5cd735215f733b5d3b797284358993a3ad60099d742"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B4PQ3KFFGODVJ6RA5HK2BBURCL/bundle.json","state_url":"https://pith.science/pith/B4PQ3KFFGODVJ6RA5HK2BBURCL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B4PQ3KFFGODVJ6RA5HK2BBURCL/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":"2026-06-08T18:38:31Z","links":{"resolver":"https://pith.science/pith/B4PQ3KFFGODVJ6RA5HK2BBURCL","bundle":"https://pith.science/pith/B4PQ3KFFGODVJ6RA5HK2BBURCL/bundle.json","state":"https://pith.science/pith/B4PQ3KFFGODVJ6RA5HK2BBURCL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B4PQ3KFFGODVJ6RA5HK2BBURCL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:B4PQ3KFFGODVJ6RA5HK2BBURCL","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":"8a4847feed0ae330a21bb8e312e0993d52a15bcc40834a06a7ed8b4c3334dbc2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2016-01-11T08:05:11Z","title_canon_sha256":"0698c48b2089d700a1df530bf2a22f6496d30f50e3c28f7296f94a753ed60389"},"schema_version":"1.0","source":{"id":"1601.02354","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.02354","created_at":"2026-05-18T01:23:06Z"},{"alias_kind":"arxiv_version","alias_value":"1601.02354v1","created_at":"2026-05-18T01:23:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.02354","created_at":"2026-05-18T01:23:06Z"},{"alias_kind":"pith_short_12","alias_value":"B4PQ3KFFGODV","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B4PQ3KFFGODVJ6RA","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B4PQ3KFF","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:08aa32acf38d44cba083b5cd735215f733b5d3b797284358993a3ad60099d742","target":"graph","created_at":"2026-05-18T01:23:06Z","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 prove that for a pair of cospectral graphs G and H, there exist their non trivial lifts G0 and H0 which are cospectral. More over for a pair of cospectral graphs on 6 vertices, we find some cospectral lifts of them.","authors_text":"F. Ramezani","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2016-01-11T08:05:11Z","title":"Cospectral lifts of graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.02354","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":"sha256:83104faafdb9b16c02e84242e7361ec4b6c0d8e7f0c0cfecf047e637014a3214","target":"record","created_at":"2026-05-18T01:23:06Z","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":"8a4847feed0ae330a21bb8e312e0993d52a15bcc40834a06a7ed8b4c3334dbc2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2016-01-11T08:05:11Z","title_canon_sha256":"0698c48b2089d700a1df530bf2a22f6496d30f50e3c28f7296f94a753ed60389"},"schema_version":"1.0","source":{"id":"1601.02354","kind":"arxiv","version":1}},"canonical_sha256":"0f1f0da8a5338754fa20e9d5a0869112c0d19112c5b9af21014f6746f6907d4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f1f0da8a5338754fa20e9d5a0869112c0d19112c5b9af21014f6746f6907d4f","first_computed_at":"2026-05-18T01:23:06.641638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:06.641638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hPUXUtqVnGBctaKvKHAtpWw//w/yspEcdEZUPBhRh6vcqffq4siZlWo9FKZsAevW+t1/+eCcvQAUOhBR8Cd8Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:06.642068Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.02354","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83104faafdb9b16c02e84242e7361ec4b6c0d8e7f0c0cfecf047e637014a3214","sha256:08aa32acf38d44cba083b5cd735215f733b5d3b797284358993a3ad60099d742"],"state_sha256":"8eab163aeeb069729cf1a437850e75932abf38c5d765204ac35b2c4e66e7d063"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ypvX5ZBM2RzkRVfh/h6MrJOoa82i+njc/DV6o7TIem9ii1cyVhTUGzKqoyHOpI2F5VQswMV2U8qtSoE1n+OgBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T18:38:31.409636Z","bundle_sha256":"dfdeeb0857e0b4a2d52f4ab853fcd91ca2e730e0af51a2507640c8a12a5f4c0a"}}