{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:2JW5YNY5IGQ7MCKATQIOUMCJ3J","short_pith_number":"pith:2JW5YNY5","canonical_record":{"source":{"id":"1204.3773","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2012-04-17T12:10:03Z","cross_cats_sorted":[],"title_canon_sha256":"fb94a7047766dd0b530a34baf5f271353085504068de18a2095d0ebad6f394c4","abstract_canon_sha256":"5c84759c1f69ada4f0e941e40a6c81b4afe2bfa6b792fa522da8310897b8222a"},"schema_version":"1.0"},"canonical_sha256":"d26ddc371d41a1f609409c10ea3049da6c61d0432ec62c31a0a283b1e380a72c","source":{"kind":"arxiv","id":"1204.3773","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3773","created_at":"2026-05-18T03:57:39Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3773v1","created_at":"2026-05-18T03:57:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3773","created_at":"2026-05-18T03:57:39Z"},{"alias_kind":"pith_short_12","alias_value":"2JW5YNY5IGQ7","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2JW5YNY5IGQ7MCKA","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2JW5YNY5","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:2JW5YNY5IGQ7MCKATQIOUMCJ3J","target":"record","payload":{"canonical_record":{"source":{"id":"1204.3773","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2012-04-17T12:10:03Z","cross_cats_sorted":[],"title_canon_sha256":"fb94a7047766dd0b530a34baf5f271353085504068de18a2095d0ebad6f394c4","abstract_canon_sha256":"5c84759c1f69ada4f0e941e40a6c81b4afe2bfa6b792fa522da8310897b8222a"},"schema_version":"1.0"},"canonical_sha256":"d26ddc371d41a1f609409c10ea3049da6c61d0432ec62c31a0a283b1e380a72c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:39.605352Z","signature_b64":"GxUlVVhes8GMhzdgpHCirthyc5VG+WDtkfA0UbSOCYYlm6MwkgSwZyrUNOPQHeRNdpXEPC7cEGMHXu9IFtbmBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d26ddc371d41a1f609409c10ea3049da6c61d0432ec62c31a0a283b1e380a72c","last_reissued_at":"2026-05-18T03:57:39.604423Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:39.604423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.3773","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":"2026-05-18T03:57:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vSJG7PjYyAAFcTuAhCrrSUvuIttco4nEbUjanbhoT74qJ2vQy+yysNEPuzQaoDFC2xSxS+R08esZq2rdLMyfDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:42:18.544748Z"},"content_sha256":"1026afabf4c5b7bb6600bf283c67d507a0fb9a1de50fbc54f806ee6472ab5e42","schema_version":"1.0","event_id":"sha256:1026afabf4c5b7bb6600bf283c67d507a0fb9a1de50fbc54f806ee6472ab5e42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:2JW5YNY5IGQ7MCKATQIOUMCJ3J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Matrix Formula of Differential Resultant for First Order Generic Ordinary Differential Polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SC","authors_text":"Chun-Ming Yuan, Xiao-Shan Gao, Zhi-Yong Zhang","submitted_at":"2012-04-17T12:10:03Z","abstract_excerpt":"In this paper, a matrix representation for the differential resultant of two generic ordinary differential polynomials $f_1$ and $f_2$ in the differential indeterminate $y$ with order one and arbitrary degree is given. That is, a non-singular matrix is constructed such that its determinant contains the differential resultant as a factor. Furthermore, the algebraic sparse resultant of $f_1, f_2, \\delta f_1, \\delta f_2$ treated as polynomials in $y, y', y\"$ is shown to be a non-zero multiple of the differential resultant of $f_1, f_2$. Although very special, this seems to be the first matrix rep"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3773","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":"2026-05-18T03:57:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gCOgtnbyfC2zGn8HRgMvVXuzxlPJUBswrMBlgdVWq1Y2O2N8C6gyAiKxPValSFXiVszpWZ2Z9E8C4TzdwVGqBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:42:18.545112Z"},"content_sha256":"0429806394a61e5f62eb85a383f402ac34c74915cc6555a09573888ddb9de0b3","schema_version":"1.0","event_id":"sha256:0429806394a61e5f62eb85a383f402ac34c74915cc6555a09573888ddb9de0b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2JW5YNY5IGQ7MCKATQIOUMCJ3J/bundle.json","state_url":"https://pith.science/pith/2JW5YNY5IGQ7MCKATQIOUMCJ3J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2JW5YNY5IGQ7MCKATQIOUMCJ3J/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":"2026-06-03T05:42:18Z","links":{"resolver":"https://pith.science/pith/2JW5YNY5IGQ7MCKATQIOUMCJ3J","bundle":"https://pith.science/pith/2JW5YNY5IGQ7MCKATQIOUMCJ3J/bundle.json","state":"https://pith.science/pith/2JW5YNY5IGQ7MCKATQIOUMCJ3J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2JW5YNY5IGQ7MCKATQIOUMCJ3J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2JW5YNY5IGQ7MCKATQIOUMCJ3J","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":"5c84759c1f69ada4f0e941e40a6c81b4afe2bfa6b792fa522da8310897b8222a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2012-04-17T12:10:03Z","title_canon_sha256":"fb94a7047766dd0b530a34baf5f271353085504068de18a2095d0ebad6f394c4"},"schema_version":"1.0","source":{"id":"1204.3773","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3773","created_at":"2026-05-18T03:57:39Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3773v1","created_at":"2026-05-18T03:57:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3773","created_at":"2026-05-18T03:57:39Z"},{"alias_kind":"pith_short_12","alias_value":"2JW5YNY5IGQ7","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2JW5YNY5IGQ7MCKA","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2JW5YNY5","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:0429806394a61e5f62eb85a383f402ac34c74915cc6555a09573888ddb9de0b3","target":"graph","created_at":"2026-05-18T03:57:39Z","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":"In this paper, a matrix representation for the differential resultant of two generic ordinary differential polynomials $f_1$ and $f_2$ in the differential indeterminate $y$ with order one and arbitrary degree is given. That is, a non-singular matrix is constructed such that its determinant contains the differential resultant as a factor. Furthermore, the algebraic sparse resultant of $f_1, f_2, \\delta f_1, \\delta f_2$ treated as polynomials in $y, y', y\"$ is shown to be a non-zero multiple of the differential resultant of $f_1, f_2$. Although very special, this seems to be the first matrix rep","authors_text":"Chun-Ming Yuan, Xiao-Shan Gao, Zhi-Yong Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2012-04-17T12:10:03Z","title":"Matrix Formula of Differential Resultant for First Order Generic Ordinary Differential Polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3773","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":"sha256:1026afabf4c5b7bb6600bf283c67d507a0fb9a1de50fbc54f806ee6472ab5e42","target":"record","created_at":"2026-05-18T03:57:39Z","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":"5c84759c1f69ada4f0e941e40a6c81b4afe2bfa6b792fa522da8310897b8222a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2012-04-17T12:10:03Z","title_canon_sha256":"fb94a7047766dd0b530a34baf5f271353085504068de18a2095d0ebad6f394c4"},"schema_version":"1.0","source":{"id":"1204.3773","kind":"arxiv","version":1}},"canonical_sha256":"d26ddc371d41a1f609409c10ea3049da6c61d0432ec62c31a0a283b1e380a72c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d26ddc371d41a1f609409c10ea3049da6c61d0432ec62c31a0a283b1e380a72c","first_computed_at":"2026-05-18T03:57:39.604423Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:39.604423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GxUlVVhes8GMhzdgpHCirthyc5VG+WDtkfA0UbSOCYYlm6MwkgSwZyrUNOPQHeRNdpXEPC7cEGMHXu9IFtbmBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:39.605352Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3773","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1026afabf4c5b7bb6600bf283c67d507a0fb9a1de50fbc54f806ee6472ab5e42","sha256:0429806394a61e5f62eb85a383f402ac34c74915cc6555a09573888ddb9de0b3"],"state_sha256":"c2056640578818ef556660bcb967545439980d0e098ece311bce387729fbba1d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2S83GtYfWaTe8ivMwcgjiNe8TsbEmIDEHmfKhrPCnHjh4AT4LkD894BOc5GG/foZL5PrxVNpSrd9H3aZYOhWAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T05:42:18.547167Z","bundle_sha256":"06b9580c01ff01be3363e5f845463767dc556ce6f8f236494d5aa1f85676233e"}}