{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:D5UBMCAPO4A7NLB3J6MQFKPNYH","short_pith_number":"pith:D5UBMCAP","canonical_record":{"source":{"id":"1309.1040","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-09-04T14:27:55Z","cross_cats_sorted":[],"title_canon_sha256":"754b01a6ea3b4e9180159e53c2e3ea7fc2a8923dd078b020d3c1119d3ffc064a","abstract_canon_sha256":"a3950204ea0418a34378ac3f1e6e462e8ec362d426e1c737c507bb86703c06c4"},"schema_version":"1.0"},"canonical_sha256":"1f6816080f7701f6ac3b4f9902a9edc1c3007c648f89b0dda1f1dc49d67b1899","source":{"kind":"arxiv","id":"1309.1040","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.1040","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"arxiv_version","alias_value":"1309.1040v1","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.1040","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"pith_short_12","alias_value":"D5UBMCAPO4A7","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"D5UBMCAPO4A7NLB3","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"D5UBMCAP","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:D5UBMCAPO4A7NLB3J6MQFKPNYH","target":"record","payload":{"canonical_record":{"source":{"id":"1309.1040","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-09-04T14:27:55Z","cross_cats_sorted":[],"title_canon_sha256":"754b01a6ea3b4e9180159e53c2e3ea7fc2a8923dd078b020d3c1119d3ffc064a","abstract_canon_sha256":"a3950204ea0418a34378ac3f1e6e462e8ec362d426e1c737c507bb86703c06c4"},"schema_version":"1.0"},"canonical_sha256":"1f6816080f7701f6ac3b4f9902a9edc1c3007c648f89b0dda1f1dc49d67b1899","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:09.247006Z","signature_b64":"9T4V9QDkeHJkP/DW803hSQzJ0BHEOa0Eh8GoH1DQ9vJhCgHvYYcRWaXipxhLXnlhYs95MRgFOox95ptbnTgVCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f6816080f7701f6ac3b4f9902a9edc1c3007c648f89b0dda1f1dc49d67b1899","last_reissued_at":"2026-05-18T03:14:09.246457Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:09.246457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.1040","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":"2026-05-18T03:14:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M2t4QE6UbXBvkYbVraLvhZPQFhImBu1QO5m/FLt+b4VGZXUIg1TS4fwBMbIh+KTZCzPszJBFg8oR/K4/qAMSDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:51:23.097331Z"},"content_sha256":"183b84c0fc4404a2c589977e26597bc75686443e5d1caf7e648e3c4fbe5c8a7e","schema_version":"1.0","event_id":"sha256:183b84c0fc4404a2c589977e26597bc75686443e5d1caf7e648e3c4fbe5c8a7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:D5UBMCAPO4A7NLB3J6MQFKPNYH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A generalization of Alternating Sign Matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Hwa Kyung Kim, Richard A. Brualdi","submitted_at":"2013-09-04T14:27:55Z","abstract_excerpt":"In alternating sign matrices the first and last nonzero entry in each row and column is specified to be +1.\n  Such matrices always exist. We investigate a generalization by specifying independently the sign of the first and last nonzero entry in each row and column to be either a +1 or a -1. We determine necessary and sufficient conditions for such matrices to exist."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.1040","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":"2026-05-18T03:14:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gmmUw+DA1XWjpmDkFhKY4EOlje2y8F7d9h52ZqfBI21VF63LZBpiYTsOoU0U4PmcjB9e7AMjEeC7bivocW8NDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:51:23.097673Z"},"content_sha256":"d8cb3a619f11ae3b879a214fabe5020407beb91b3342c9d8444f361b80e0884b","schema_version":"1.0","event_id":"sha256:d8cb3a619f11ae3b879a214fabe5020407beb91b3342c9d8444f361b80e0884b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D5UBMCAPO4A7NLB3J6MQFKPNYH/bundle.json","state_url":"https://pith.science/pith/D5UBMCAPO4A7NLB3J6MQFKPNYH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D5UBMCAPO4A7NLB3J6MQFKPNYH/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":"2026-06-01T21:51:23Z","links":{"resolver":"https://pith.science/pith/D5UBMCAPO4A7NLB3J6MQFKPNYH","bundle":"https://pith.science/pith/D5UBMCAPO4A7NLB3J6MQFKPNYH/bundle.json","state":"https://pith.science/pith/D5UBMCAPO4A7NLB3J6MQFKPNYH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D5UBMCAPO4A7NLB3J6MQFKPNYH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:D5UBMCAPO4A7NLB3J6MQFKPNYH","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":"a3950204ea0418a34378ac3f1e6e462e8ec362d426e1c737c507bb86703c06c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-09-04T14:27:55Z","title_canon_sha256":"754b01a6ea3b4e9180159e53c2e3ea7fc2a8923dd078b020d3c1119d3ffc064a"},"schema_version":"1.0","source":{"id":"1309.1040","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.1040","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"arxiv_version","alias_value":"1309.1040v1","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.1040","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"pith_short_12","alias_value":"D5UBMCAPO4A7","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"D5UBMCAPO4A7NLB3","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"D5UBMCAP","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:d8cb3a619f11ae3b879a214fabe5020407beb91b3342c9d8444f361b80e0884b","target":"graph","created_at":"2026-05-18T03:14:09Z","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 alternating sign matrices the first and last nonzero entry in each row and column is specified to be +1.\n  Such matrices always exist. We investigate a generalization by specifying independently the sign of the first and last nonzero entry in each row and column to be either a +1 or a -1. We determine necessary and sufficient conditions for such matrices to exist.","authors_text":"Hwa Kyung Kim, Richard A. Brualdi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-09-04T14:27:55Z","title":"A generalization of Alternating Sign Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.1040","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":"sha256:183b84c0fc4404a2c589977e26597bc75686443e5d1caf7e648e3c4fbe5c8a7e","target":"record","created_at":"2026-05-18T03:14:09Z","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":"a3950204ea0418a34378ac3f1e6e462e8ec362d426e1c737c507bb86703c06c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-09-04T14:27:55Z","title_canon_sha256":"754b01a6ea3b4e9180159e53c2e3ea7fc2a8923dd078b020d3c1119d3ffc064a"},"schema_version":"1.0","source":{"id":"1309.1040","kind":"arxiv","version":1}},"canonical_sha256":"1f6816080f7701f6ac3b4f9902a9edc1c3007c648f89b0dda1f1dc49d67b1899","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f6816080f7701f6ac3b4f9902a9edc1c3007c648f89b0dda1f1dc49d67b1899","first_computed_at":"2026-05-18T03:14:09.246457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:09.246457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9T4V9QDkeHJkP/DW803hSQzJ0BHEOa0Eh8GoH1DQ9vJhCgHvYYcRWaXipxhLXnlhYs95MRgFOox95ptbnTgVCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:09.247006Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.1040","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:183b84c0fc4404a2c589977e26597bc75686443e5d1caf7e648e3c4fbe5c8a7e","sha256:d8cb3a619f11ae3b879a214fabe5020407beb91b3342c9d8444f361b80e0884b"],"state_sha256":"801d9b251fd226a4eab8c4ae238e04d63416b10e8089c82a49f1e092c0bac1fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D9hXodmXOEt9vIGSSalZK8HP3jjVu0VjcHuLxIZ5YrOX3cBtQcPm4VGYuhjUaiHf5eRaNHyynGnaOxoRN8ydCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:51:23.099602Z","bundle_sha256":"0525f38413a5f513b9ca1d783ed7ee7cf4ce44214974277c490c147eade4138e"}}