{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:U6MU6FLWXV5TZ6H55BODMVGQTD","short_pith_number":"pith:U6MU6FLW","canonical_record":{"source":{"id":"1601.02769","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-01-12T08:41:29Z","cross_cats_sorted":[],"title_canon_sha256":"6212625aa6cff5b544b80b60e04c092323ee9cec9ca5280cabacd35711a5fbd4","abstract_canon_sha256":"73626ba99067a6b4a9de2ae2c81739cb23de8080b2ae57678abc8495d247229b"},"schema_version":"1.0"},"canonical_sha256":"a7994f1576bd7b3cf8fde85c3654d098e8514b4e1e5ffc5c4de7cee21ffab245","source":{"kind":"arxiv","id":"1601.02769","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.02769","created_at":"2026-05-18T00:40:14Z"},{"alias_kind":"arxiv_version","alias_value":"1601.02769v3","created_at":"2026-05-18T00:40:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.02769","created_at":"2026-05-18T00:40:14Z"},{"alias_kind":"pith_short_12","alias_value":"U6MU6FLWXV5T","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"U6MU6FLWXV5TZ6H5","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"U6MU6FLW","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:U6MU6FLWXV5TZ6H55BODMVGQTD","target":"record","payload":{"canonical_record":{"source":{"id":"1601.02769","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-01-12T08:41:29Z","cross_cats_sorted":[],"title_canon_sha256":"6212625aa6cff5b544b80b60e04c092323ee9cec9ca5280cabacd35711a5fbd4","abstract_canon_sha256":"73626ba99067a6b4a9de2ae2c81739cb23de8080b2ae57678abc8495d247229b"},"schema_version":"1.0"},"canonical_sha256":"a7994f1576bd7b3cf8fde85c3654d098e8514b4e1e5ffc5c4de7cee21ffab245","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:14.061714Z","signature_b64":"i2jOcOcneWoNJjZoCYydFNfoc47mriKu1HSkGoqiRe4KXyNU78st2iY6RBCiZ/Z9NqxJA6+gpD7acL3b8RsIAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7994f1576bd7b3cf8fde85c3654d098e8514b4e1e5ffc5c4de7cee21ffab245","last_reissued_at":"2026-05-18T00:40:14.060997Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:14.060997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.02769","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EzQWAmAVFq2L8LDPEREw5ii1wdnXYbc0LAn3VOJl+anFSD96l3XHFpF9XTAwpoj0mHrhYzwZjW/SdADAJH0/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:21:51.462934Z"},"content_sha256":"211ea88273680c55be62a19847cb94460c77de8b030bf2f82488cecfc95ba427","schema_version":"1.0","event_id":"sha256:211ea88273680c55be62a19847cb94460c77de8b030bf2f82488cecfc95ba427"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:U6MU6FLWXV5TZ6H55BODMVGQTD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetric and skew-symmetric $\\{0,\\pm 1\\}$-matrices with large determinants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Gary Greaves, Sho Suda","submitted_at":"2016-01-12T08:41:29Z","abstract_excerpt":"We show that the existence of $\\{\\pm 1\\}$-matrices having largest possible determinant is equivalent to the existence of certain tournament matrices. In particular, we prove a recent conjecture of Armario. We also show that large submatrices of conference matrices are determined by their spectrum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.02769","kind":"arxiv","version":3},"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":"2026-05-18T00:40:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6lc78jNyYdEtsMTmSqWeItVQYaHVW6l55xD7MWoFumBP3T2kGNdp7ZQQc65VUcZJfcUkn3/JvOVkDOtrFKpJCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:21:51.463467Z"},"content_sha256":"5cb0e4d85cae4825379aa1009b2b98db76074c1b77c361f51d5c827612d21ad3","schema_version":"1.0","event_id":"sha256:5cb0e4d85cae4825379aa1009b2b98db76074c1b77c361f51d5c827612d21ad3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U6MU6FLWXV5TZ6H55BODMVGQTD/bundle.json","state_url":"https://pith.science/pith/U6MU6FLWXV5TZ6H55BODMVGQTD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U6MU6FLWXV5TZ6H55BODMVGQTD/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":"2026-05-26T00:21:51Z","links":{"resolver":"https://pith.science/pith/U6MU6FLWXV5TZ6H55BODMVGQTD","bundle":"https://pith.science/pith/U6MU6FLWXV5TZ6H55BODMVGQTD/bundle.json","state":"https://pith.science/pith/U6MU6FLWXV5TZ6H55BODMVGQTD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U6MU6FLWXV5TZ6H55BODMVGQTD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:U6MU6FLWXV5TZ6H55BODMVGQTD","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":"73626ba99067a6b4a9de2ae2c81739cb23de8080b2ae57678abc8495d247229b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-01-12T08:41:29Z","title_canon_sha256":"6212625aa6cff5b544b80b60e04c092323ee9cec9ca5280cabacd35711a5fbd4"},"schema_version":"1.0","source":{"id":"1601.02769","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.02769","created_at":"2026-05-18T00:40:14Z"},{"alias_kind":"arxiv_version","alias_value":"1601.02769v3","created_at":"2026-05-18T00:40:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.02769","created_at":"2026-05-18T00:40:14Z"},{"alias_kind":"pith_short_12","alias_value":"U6MU6FLWXV5T","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"U6MU6FLWXV5TZ6H5","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"U6MU6FLW","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:5cb0e4d85cae4825379aa1009b2b98db76074c1b77c361f51d5c827612d21ad3","target":"graph","created_at":"2026-05-18T00:40:14Z","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":"We show that the existence of $\\{\\pm 1\\}$-matrices having largest possible determinant is equivalent to the existence of certain tournament matrices. In particular, we prove a recent conjecture of Armario. We also show that large submatrices of conference matrices are determined by their spectrum.","authors_text":"Gary Greaves, Sho Suda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-01-12T08:41:29Z","title":"Symmetric and skew-symmetric $\\{0,\\pm 1\\}$-matrices with large determinants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.02769","kind":"arxiv","version":3},"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":"sha256:211ea88273680c55be62a19847cb94460c77de8b030bf2f82488cecfc95ba427","target":"record","created_at":"2026-05-18T00:40:14Z","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":"73626ba99067a6b4a9de2ae2c81739cb23de8080b2ae57678abc8495d247229b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-01-12T08:41:29Z","title_canon_sha256":"6212625aa6cff5b544b80b60e04c092323ee9cec9ca5280cabacd35711a5fbd4"},"schema_version":"1.0","source":{"id":"1601.02769","kind":"arxiv","version":3}},"canonical_sha256":"a7994f1576bd7b3cf8fde85c3654d098e8514b4e1e5ffc5c4de7cee21ffab245","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7994f1576bd7b3cf8fde85c3654d098e8514b4e1e5ffc5c4de7cee21ffab245","first_computed_at":"2026-05-18T00:40:14.060997Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:14.060997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i2jOcOcneWoNJjZoCYydFNfoc47mriKu1HSkGoqiRe4KXyNU78st2iY6RBCiZ/Z9NqxJA6+gpD7acL3b8RsIAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:14.061714Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.02769","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:211ea88273680c55be62a19847cb94460c77de8b030bf2f82488cecfc95ba427","sha256:5cb0e4d85cae4825379aa1009b2b98db76074c1b77c361f51d5c827612d21ad3"],"state_sha256":"c203fd2d38c6913949b47d716ea1a9d006096fa6ff5096d1927536192b0301bc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8UqIbSI8GuB4HTNT7b0qT3/4zleNT0PsZOsWH9D6YW3wb4ZyYhf+agQGqai1OWfiiDPnoVdh26PT1AKoKEdaAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T00:21:51.466005Z","bundle_sha256":"c33201d5ba92c26d247a745bb1d431cf40aee2e1dfb5f42bf1a8e3fc704703b3"}}