{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:VI5IXDFUGGCGBRMD75SGHHO664","short_pith_number":"pith:VI5IXDFU","canonical_record":{"source":{"id":"0905.3779","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-05-22T23:58:11Z","cross_cats_sorted":[],"title_canon_sha256":"b4890c9a664d9ff2e6f959d9a842731da784433e0dc919525d8594f593d928aa","abstract_canon_sha256":"cd8569ab6c0e187d31108f0844960e9a3edc7fe81f7e5b08718ed5e964e2a441"},"schema_version":"1.0"},"canonical_sha256":"aa3a8b8cb4318460c583ff64639ddef706ba52fc7dd3534e0b907a87e0154d42","source":{"kind":"arxiv","id":"0905.3779","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.3779","created_at":"2026-05-18T04:08:24Z"},{"alias_kind":"arxiv_version","alias_value":"0905.3779v1","created_at":"2026-05-18T04:08:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3779","created_at":"2026-05-18T04:08:24Z"},{"alias_kind":"pith_short_12","alias_value":"VI5IXDFUGGCG","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VI5IXDFUGGCGBRMD","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VI5IXDFU","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:VI5IXDFUGGCGBRMD75SGHHO664","target":"record","payload":{"canonical_record":{"source":{"id":"0905.3779","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-05-22T23:58:11Z","cross_cats_sorted":[],"title_canon_sha256":"b4890c9a664d9ff2e6f959d9a842731da784433e0dc919525d8594f593d928aa","abstract_canon_sha256":"cd8569ab6c0e187d31108f0844960e9a3edc7fe81f7e5b08718ed5e964e2a441"},"schema_version":"1.0"},"canonical_sha256":"aa3a8b8cb4318460c583ff64639ddef706ba52fc7dd3534e0b907a87e0154d42","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:24.745884Z","signature_b64":"WORDNDbZ0rxgsTGM59xxue8XGy8wvMQBIsynt1jNNuNOscN0GnGDPjOkFuG3td1N/UtDfQAJ/LYcfiP3xG6BDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa3a8b8cb4318460c583ff64639ddef706ba52fc7dd3534e0b907a87e0154d42","last_reissued_at":"2026-05-18T04:08:24.745374Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:24.745374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.3779","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":"2026-05-18T04:08:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BepvvK7nbXx4Zx89C9JJiwaXGz9zkgMyndAAm2Y770kCZXI8PRYTiiMk6ZAfRmeDhULJOUAUldGnykcm2P5mCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:23:29.613605Z"},"content_sha256":"aa0ea402e03ab2086829a5f8c388a199019e70773bcef2c53d31b84a27ce6cab","schema_version":"1.0","event_id":"sha256:aa0ea402e03ab2086829a5f8c388a199019e70773bcef2c53d31b84a27ce6cab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:VI5IXDFUGGCGBRMD75SGHHO664","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Isospectral Definite Ternary F_q[t]-Lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jean Bureau, Jorge Morales","submitted_at":"2009-05-22T23:58:11Z","abstract_excerpt":"We prove that the representations numbers of a ternary definite integral quadratic form defined over F_q[t], where F_q is a finite field of odd characteristic, determine its integral equivalence class when q is large enough with respect to its successive minima. Equivalently, such a quadratic form is determined up to integral isometry by its theta series."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3779","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":"2026-05-18T04:08:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C/XZvlXDe7tYMIyds5agP4YbVOlshCsdlFwF6ltv9c/o39j307aSYng0wWh+AN2EUTO9n2xTqJeVCsils2LnCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:23:29.614267Z"},"content_sha256":"08504caae4a41ec10a13cbf8362bf06798cae046582efd2cd270c5024246be67","schema_version":"1.0","event_id":"sha256:08504caae4a41ec10a13cbf8362bf06798cae046582efd2cd270c5024246be67"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VI5IXDFUGGCGBRMD75SGHHO664/bundle.json","state_url":"https://pith.science/pith/VI5IXDFUGGCGBRMD75SGHHO664/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VI5IXDFUGGCGBRMD75SGHHO664/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":"2026-06-02T10:23:29Z","links":{"resolver":"https://pith.science/pith/VI5IXDFUGGCGBRMD75SGHHO664","bundle":"https://pith.science/pith/VI5IXDFUGGCGBRMD75SGHHO664/bundle.json","state":"https://pith.science/pith/VI5IXDFUGGCGBRMD75SGHHO664/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VI5IXDFUGGCGBRMD75SGHHO664/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:VI5IXDFUGGCGBRMD75SGHHO664","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":"cd8569ab6c0e187d31108f0844960e9a3edc7fe81f7e5b08718ed5e964e2a441","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-05-22T23:58:11Z","title_canon_sha256":"b4890c9a664d9ff2e6f959d9a842731da784433e0dc919525d8594f593d928aa"},"schema_version":"1.0","source":{"id":"0905.3779","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.3779","created_at":"2026-05-18T04:08:24Z"},{"alias_kind":"arxiv_version","alias_value":"0905.3779v1","created_at":"2026-05-18T04:08:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3779","created_at":"2026-05-18T04:08:24Z"},{"alias_kind":"pith_short_12","alias_value":"VI5IXDFUGGCG","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VI5IXDFUGGCGBRMD","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VI5IXDFU","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:08504caae4a41ec10a13cbf8362bf06798cae046582efd2cd270c5024246be67","target":"graph","created_at":"2026-05-18T04:08:24Z","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 the representations numbers of a ternary definite integral quadratic form defined over F_q[t], where F_q is a finite field of odd characteristic, determine its integral equivalence class when q is large enough with respect to its successive minima. Equivalently, such a quadratic form is determined up to integral isometry by its theta series.","authors_text":"Jean Bureau, Jorge Morales","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-05-22T23:58:11Z","title":"Isospectral Definite Ternary F_q[t]-Lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3779","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:aa0ea402e03ab2086829a5f8c388a199019e70773bcef2c53d31b84a27ce6cab","target":"record","created_at":"2026-05-18T04:08:24Z","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":"cd8569ab6c0e187d31108f0844960e9a3edc7fe81f7e5b08718ed5e964e2a441","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-05-22T23:58:11Z","title_canon_sha256":"b4890c9a664d9ff2e6f959d9a842731da784433e0dc919525d8594f593d928aa"},"schema_version":"1.0","source":{"id":"0905.3779","kind":"arxiv","version":1}},"canonical_sha256":"aa3a8b8cb4318460c583ff64639ddef706ba52fc7dd3534e0b907a87e0154d42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa3a8b8cb4318460c583ff64639ddef706ba52fc7dd3534e0b907a87e0154d42","first_computed_at":"2026-05-18T04:08:24.745374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:24.745374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WORDNDbZ0rxgsTGM59xxue8XGy8wvMQBIsynt1jNNuNOscN0GnGDPjOkFuG3td1N/UtDfQAJ/LYcfiP3xG6BDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:24.745884Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.3779","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa0ea402e03ab2086829a5f8c388a199019e70773bcef2c53d31b84a27ce6cab","sha256:08504caae4a41ec10a13cbf8362bf06798cae046582efd2cd270c5024246be67"],"state_sha256":"e642f6a86e02b227578d7711756f8e6667ab420fb652c98b52bb8afc43198ab0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mcg5JCOKeHDj41BentJuhsg91zMXAKsXoqyokClA35X0/8RgkgK95BjXdwit19UumNYj3a5z1/buQ/WT6X+1Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T10:23:29.617340Z","bundle_sha256":"d61ebc5a6914cb156207cf0e5b3dc8946915e1413672a103c8a6a6a6e240b717"}}