{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:JCVZAKCKAXFVDXTLTRHBNRUZKO","short_pith_number":"pith:JCVZAKCK","canonical_record":{"source":{"id":"1601.04380","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-01-18T01:20:57Z","cross_cats_sorted":[],"title_canon_sha256":"bc6d7eccce32b4c3bc97b6285bb69eeb0ddc814a10be5676b2235c91d85a17ef","abstract_canon_sha256":"76e91f3c8e5d52b88dbea34ba8807223e396a3f4d131d15b215a432bf8999e1f"},"schema_version":"1.0"},"canonical_sha256":"48ab90284a05cb51de6b9c4e16c6995385a58e120d8fa5203b14d1075be16787","source":{"kind":"arxiv","id":"1601.04380","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04380","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04380v1","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04380","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"pith_short_12","alias_value":"JCVZAKCKAXFV","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JCVZAKCKAXFVDXTL","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JCVZAKCK","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:JCVZAKCKAXFVDXTLTRHBNRUZKO","target":"record","payload":{"canonical_record":{"source":{"id":"1601.04380","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-01-18T01:20:57Z","cross_cats_sorted":[],"title_canon_sha256":"bc6d7eccce32b4c3bc97b6285bb69eeb0ddc814a10be5676b2235c91d85a17ef","abstract_canon_sha256":"76e91f3c8e5d52b88dbea34ba8807223e396a3f4d131d15b215a432bf8999e1f"},"schema_version":"1.0"},"canonical_sha256":"48ab90284a05cb51de6b9c4e16c6995385a58e120d8fa5203b14d1075be16787","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:45.224391Z","signature_b64":"Z4d1sO2alAg76Eg+tpzgnbvWIsQFzYnQR/F8A83xiqbTbDu/NTPCujakMKaX6b2YnYccNKJcSSLzeim1UAa3Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48ab90284a05cb51de6b9c4e16c6995385a58e120d8fa5203b14d1075be16787","last_reissued_at":"2026-05-18T01:22:45.223806Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:45.223806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.04380","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":"2026-05-18T01:22:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FnsaUQ3gEXcLmdt/rwVd7lpdRTT6wmEKWyLY2IHmepuGC10rSJg5oa9xq0pjXSwtaklwHsYh4y3UPrOO2X55Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:28:04.247425Z"},"content_sha256":"af2b9cbadff6228e3610b84a4e7a64517cb7dbbc96b5351576ab26ef4a91eb8b","schema_version":"1.0","event_id":"sha256:af2b9cbadff6228e3610b84a4e7a64517cb7dbbc96b5351576ab26ef4a91eb8b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:JCVZAKCKAXFVDXTLTRHBNRUZKO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discriminants of Polynomials Related to Chebyshev Polynomials: The 'Mutt and Jeff' Syndrome","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Khang Tran","submitted_at":"2016-01-18T01:20:57Z","abstract_excerpt":"The discriminants of certain polynomials related to Chebyshev polynomials factor into the product of two polynomials, one of which has coefficients that are much larger than the other's. Remarkably, these polynomials of dissimilar size have \"almost\" the same roots, and their discriminants involve exactly the same prime factors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04380","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":"2026-05-18T01:22:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yj39dUierFTrjQoueqRt+7+XaeKZtLKUKbkgIoUIJPjs+Co6UCUTp7j5fayiHUG4qaMijKjq0kBGLpbGEsRMDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:28:04.247769Z"},"content_sha256":"e25c2da0d24114a2ed6c824a4a087d692d2a6ed4710b93b96f9404ea3899626a","schema_version":"1.0","event_id":"sha256:e25c2da0d24114a2ed6c824a4a087d692d2a6ed4710b93b96f9404ea3899626a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JCVZAKCKAXFVDXTLTRHBNRUZKO/bundle.json","state_url":"https://pith.science/pith/JCVZAKCKAXFVDXTLTRHBNRUZKO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JCVZAKCKAXFVDXTLTRHBNRUZKO/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":"2026-06-01T16:28:04Z","links":{"resolver":"https://pith.science/pith/JCVZAKCKAXFVDXTLTRHBNRUZKO","bundle":"https://pith.science/pith/JCVZAKCKAXFVDXTLTRHBNRUZKO/bundle.json","state":"https://pith.science/pith/JCVZAKCKAXFVDXTLTRHBNRUZKO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JCVZAKCKAXFVDXTLTRHBNRUZKO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JCVZAKCKAXFVDXTLTRHBNRUZKO","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":"76e91f3c8e5d52b88dbea34ba8807223e396a3f4d131d15b215a432bf8999e1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-01-18T01:20:57Z","title_canon_sha256":"bc6d7eccce32b4c3bc97b6285bb69eeb0ddc814a10be5676b2235c91d85a17ef"},"schema_version":"1.0","source":{"id":"1601.04380","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04380","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04380v1","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04380","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"pith_short_12","alias_value":"JCVZAKCKAXFV","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JCVZAKCKAXFVDXTL","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JCVZAKCK","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:e25c2da0d24114a2ed6c824a4a087d692d2a6ed4710b93b96f9404ea3899626a","target":"graph","created_at":"2026-05-18T01:22:45Z","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 discriminants of certain polynomials related to Chebyshev polynomials factor into the product of two polynomials, one of which has coefficients that are much larger than the other's. Remarkably, these polynomials of dissimilar size have \"almost\" the same roots, and their discriminants involve exactly the same prime factors.","authors_text":"Khang Tran","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-01-18T01:20:57Z","title":"Discriminants of Polynomials Related to Chebyshev Polynomials: The 'Mutt and Jeff' Syndrome"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04380","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:af2b9cbadff6228e3610b84a4e7a64517cb7dbbc96b5351576ab26ef4a91eb8b","target":"record","created_at":"2026-05-18T01:22:45Z","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":"76e91f3c8e5d52b88dbea34ba8807223e396a3f4d131d15b215a432bf8999e1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-01-18T01:20:57Z","title_canon_sha256":"bc6d7eccce32b4c3bc97b6285bb69eeb0ddc814a10be5676b2235c91d85a17ef"},"schema_version":"1.0","source":{"id":"1601.04380","kind":"arxiv","version":1}},"canonical_sha256":"48ab90284a05cb51de6b9c4e16c6995385a58e120d8fa5203b14d1075be16787","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48ab90284a05cb51de6b9c4e16c6995385a58e120d8fa5203b14d1075be16787","first_computed_at":"2026-05-18T01:22:45.223806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:45.223806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z4d1sO2alAg76Eg+tpzgnbvWIsQFzYnQR/F8A83xiqbTbDu/NTPCujakMKaX6b2YnYccNKJcSSLzeim1UAa3Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:45.224391Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04380","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af2b9cbadff6228e3610b84a4e7a64517cb7dbbc96b5351576ab26ef4a91eb8b","sha256:e25c2da0d24114a2ed6c824a4a087d692d2a6ed4710b93b96f9404ea3899626a"],"state_sha256":"81c68572706e35f5df84c6a194772c8d718c430b61af718873ef0250b679caab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FCMrGuvi4drbI7Uv4hD0f9v3ke3OSnmXSP5/a8oB5ItFNht0vAIpejxx81vZn3HzmIqnTHBzGKNwyCLB+pKACw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:28:04.249847Z","bundle_sha256":"efdf6bcc6ac96b9683710d305e9c64bcf43c7ca6c2523fcb75f97cb692f657a9"}}