{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ZSQBS5PBXSCZWMCS2PT5VCHEXB","short_pith_number":"pith:ZSQBS5PB","canonical_record":{"source":{"id":"1610.06297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-20T06:22:53Z","cross_cats_sorted":[],"title_canon_sha256":"6de099f9016ab45d55437e0c739a722c1721b4a9daf01d3c40e77539f42d1d6b","abstract_canon_sha256":"48e99de49ce650b96c95581ce5ed70fb69a14e1fad7b88205a2af4e805a01350"},"schema_version":"1.0"},"canonical_sha256":"cca01975e1bc859b3052d3e7da88e4b847f0649f6c9513132c4fc6486d9e77e4","source":{"kind":"arxiv","id":"1610.06297","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.06297","created_at":"2026-05-18T01:01:43Z"},{"alias_kind":"arxiv_version","alias_value":"1610.06297v1","created_at":"2026-05-18T01:01:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.06297","created_at":"2026-05-18T01:01:43Z"},{"alias_kind":"pith_short_12","alias_value":"ZSQBS5PBXSCZ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"ZSQBS5PBXSCZWMCS","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"ZSQBS5PB","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ZSQBS5PBXSCZWMCS2PT5VCHEXB","target":"record","payload":{"canonical_record":{"source":{"id":"1610.06297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-20T06:22:53Z","cross_cats_sorted":[],"title_canon_sha256":"6de099f9016ab45d55437e0c739a722c1721b4a9daf01d3c40e77539f42d1d6b","abstract_canon_sha256":"48e99de49ce650b96c95581ce5ed70fb69a14e1fad7b88205a2af4e805a01350"},"schema_version":"1.0"},"canonical_sha256":"cca01975e1bc859b3052d3e7da88e4b847f0649f6c9513132c4fc6486d9e77e4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:43.682389Z","signature_b64":"+qQNRkLMwYPrXPOx9OQpfGhCDlSOYyF06o/7jAlERolL+IKiWeabZX9h6ntuPh77YOvGRd9iugZjtmUbDayECw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cca01975e1bc859b3052d3e7da88e4b847f0649f6c9513132c4fc6486d9e77e4","last_reissued_at":"2026-05-18T01:01:43.681747Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:43.681747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.06297","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":"2026-05-18T01:01:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tpF2S2s9WEat5WI0PLLBVXkk7HXyai/hc2ZV4pgrvMOAWCYnjd/kK/VKla/v9+de3YMZkWScnpH4zDZFUao5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T12:17:37.869953Z"},"content_sha256":"8f0518670ba8fbfde3e6ea8049218f278590e1e96f0d9ecfd398cd1ff8a0a511","schema_version":"1.0","event_id":"sha256:8f0518670ba8fbfde3e6ea8049218f278590e1e96f0d9ecfd398cd1ff8a0a511"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ZSQBS5PBXSCZWMCS2PT5VCHEXB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rationality of Moduli space over reducible curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Arijit Dey, B. N. Suhas","submitted_at":"2016-10-20T06:22:53Z","abstract_excerpt":"Let $M(2,\\textbf{\\underline{w}},\\chi)$ be the moduli space of rank $2$ torsion-free sheaves over a reducible nodal curve with each component having utmost two nodal singularities. We show that in each component of $M(2,\\textbf{\\underline{w}},\\chi)$, the closure of rank $2$ vector bundles with fixed determinant is rational."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06297","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":"2026-05-18T01:01:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nPNESBQIGGg7ynCq6g9XTotDF7VtHqtdhS6QWW1PBfSZx8gJ8927fQM8FLibx8QUTtPUOhPnp786SfrUmjkqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T12:17:37.870289Z"},"content_sha256":"a1cc675b1edd365f91b15bc4fbdbd665e6f06899911268c76b0c4c092b18e218","schema_version":"1.0","event_id":"sha256:a1cc675b1edd365f91b15bc4fbdbd665e6f06899911268c76b0c4c092b18e218"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZSQBS5PBXSCZWMCS2PT5VCHEXB/bundle.json","state_url":"https://pith.science/pith/ZSQBS5PBXSCZWMCS2PT5VCHEXB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZSQBS5PBXSCZWMCS2PT5VCHEXB/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":"2026-07-03T12:17:37Z","links":{"resolver":"https://pith.science/pith/ZSQBS5PBXSCZWMCS2PT5VCHEXB","bundle":"https://pith.science/pith/ZSQBS5PBXSCZWMCS2PT5VCHEXB/bundle.json","state":"https://pith.science/pith/ZSQBS5PBXSCZWMCS2PT5VCHEXB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZSQBS5PBXSCZWMCS2PT5VCHEXB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZSQBS5PBXSCZWMCS2PT5VCHEXB","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":"48e99de49ce650b96c95581ce5ed70fb69a14e1fad7b88205a2af4e805a01350","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-20T06:22:53Z","title_canon_sha256":"6de099f9016ab45d55437e0c739a722c1721b4a9daf01d3c40e77539f42d1d6b"},"schema_version":"1.0","source":{"id":"1610.06297","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.06297","created_at":"2026-05-18T01:01:43Z"},{"alias_kind":"arxiv_version","alias_value":"1610.06297v1","created_at":"2026-05-18T01:01:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.06297","created_at":"2026-05-18T01:01:43Z"},{"alias_kind":"pith_short_12","alias_value":"ZSQBS5PBXSCZ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"ZSQBS5PBXSCZWMCS","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"ZSQBS5PB","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:a1cc675b1edd365f91b15bc4fbdbd665e6f06899911268c76b0c4c092b18e218","target":"graph","created_at":"2026-05-18T01:01:43Z","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":"Let $M(2,\\textbf{\\underline{w}},\\chi)$ be the moduli space of rank $2$ torsion-free sheaves over a reducible nodal curve with each component having utmost two nodal singularities. We show that in each component of $M(2,\\textbf{\\underline{w}},\\chi)$, the closure of rank $2$ vector bundles with fixed determinant is rational.","authors_text":"Arijit Dey, B. N. Suhas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-20T06:22:53Z","title":"Rationality of Moduli space over reducible curve"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06297","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":"sha256:8f0518670ba8fbfde3e6ea8049218f278590e1e96f0d9ecfd398cd1ff8a0a511","target":"record","created_at":"2026-05-18T01:01:43Z","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":"48e99de49ce650b96c95581ce5ed70fb69a14e1fad7b88205a2af4e805a01350","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-20T06:22:53Z","title_canon_sha256":"6de099f9016ab45d55437e0c739a722c1721b4a9daf01d3c40e77539f42d1d6b"},"schema_version":"1.0","source":{"id":"1610.06297","kind":"arxiv","version":1}},"canonical_sha256":"cca01975e1bc859b3052d3e7da88e4b847f0649f6c9513132c4fc6486d9e77e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cca01975e1bc859b3052d3e7da88e4b847f0649f6c9513132c4fc6486d9e77e4","first_computed_at":"2026-05-18T01:01:43.681747Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:43.681747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+qQNRkLMwYPrXPOx9OQpfGhCDlSOYyF06o/7jAlERolL+IKiWeabZX9h6ntuPh77YOvGRd9iugZjtmUbDayECw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:43.682389Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.06297","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f0518670ba8fbfde3e6ea8049218f278590e1e96f0d9ecfd398cd1ff8a0a511","sha256:a1cc675b1edd365f91b15bc4fbdbd665e6f06899911268c76b0c4c092b18e218"],"state_sha256":"4d7d523383f0aa20fc6f2d3552837af1fc5c57e80ce56e91780544ea9144591b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5onV2rjFkd9dQYhYnHkinYv8NJj79ShIJRD0fZ1UFXZ7Y9XB9jWIvTeV8nLM95IecEio2vvkI+Y9NimSdUQiAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T12:17:37.872193Z","bundle_sha256":"e617b3838da9b5ffc17fcad50fc17308e211c8e246bf2642a99b5bc5422128ea"}}