{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:5CEAEVQ2FG4ZUVD3BSV5AFSXGC","short_pith_number":"pith:5CEAEVQ2","canonical_record":{"source":{"id":"2606.06733","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-04T21:38:51Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"b173bae8e290e56bd5a3211b72603f0e6f3f30a75df91d0c4a107c664c24251d","abstract_canon_sha256":"caa1ad0a85c01b67b5ce8ad1f5b2fec376f050f0d08b3941afa729f0d7f50b66"},"schema_version":"1.0"},"canonical_sha256":"e88802561a29b99a547b0cabd0165730950a86e64621bfc67f70a4834f190593","source":{"kind":"arxiv","id":"2606.06733","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.06733","created_at":"2026-06-08T01:04:25Z"},{"alias_kind":"arxiv_version","alias_value":"2606.06733v1","created_at":"2026-06-08T01:04:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06733","created_at":"2026-06-08T01:04:25Z"},{"alias_kind":"pith_short_12","alias_value":"5CEAEVQ2FG4Z","created_at":"2026-06-08T01:04:25Z"},{"alias_kind":"pith_short_16","alias_value":"5CEAEVQ2FG4ZUVD3","created_at":"2026-06-08T01:04:25Z"},{"alias_kind":"pith_short_8","alias_value":"5CEAEVQ2","created_at":"2026-06-08T01:04:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:5CEAEVQ2FG4ZUVD3BSV5AFSXGC","target":"record","payload":{"canonical_record":{"source":{"id":"2606.06733","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-04T21:38:51Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"b173bae8e290e56bd5a3211b72603f0e6f3f30a75df91d0c4a107c664c24251d","abstract_canon_sha256":"caa1ad0a85c01b67b5ce8ad1f5b2fec376f050f0d08b3941afa729f0d7f50b66"},"schema_version":"1.0"},"canonical_sha256":"e88802561a29b99a547b0cabd0165730950a86e64621bfc67f70a4834f190593","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-08T01:04:25.238396Z","signature_b64":"wuSfZsfo2PDLJ/Eglq+FJJs62pGs/FLg/qVotNZFbXlZ7GY7v3337GCEXN82ewn+Zj7m/HmqzVA61tFVzM5WCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e88802561a29b99a547b0cabd0165730950a86e64621bfc67f70a4834f190593","last_reissued_at":"2026-06-08T01:04:25.237590Z","signature_status":"signed_v1","first_computed_at":"2026-06-08T01:04:25.237590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.06733","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":"2026-06-08T01:04:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iWfqrlR8pkKKKjJ/7r636E63SOZ4RCHN2Sz/Z/XjTPniIcsMgo99amzukUfOhHiECR2k0sECfC/YuaLWn2y6CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T03:34:24.629424Z"},"content_sha256":"66b2ef071db880a72ee5ab4422f623d9abe42b186f98069f9026dd82da4c0fbf","schema_version":"1.0","event_id":"sha256:66b2ef071db880a72ee5ab4422f623d9abe42b186f98069f9026dd82da4c0fbf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:5CEAEVQ2FG4ZUVD3BSV5AFSXGC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compactified supermoduli space is almost never projected","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.AG","authors_text":"Mauricio Corr\\^ea, Simone Noja","submitted_at":"2026-06-04T21:38:51Z","abstract_excerpt":"We settle the projectedness problem for the compactified unpunctured supermoduli stack in every genus at least two. In genus two, the odd component is split, whereas the even component is non-projected. In every genus $g\\geq 3$, both compactified parity components are non-projected."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06733","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.06733/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-08T01:04:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hXA88PUbAoLOirhLAvdTFWXg2/5o+nk1BOdmEjvkVCy2sijRzvK+cGZ/O+mu9LKn+R3gknPki5JhTRwZ/kCzCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T03:34:24.629802Z"},"content_sha256":"ef7f88de5af11e1d96d3e6e50afc9d3304e86871b4d44cf2c24b3da7f66a844a","schema_version":"1.0","event_id":"sha256:ef7f88de5af11e1d96d3e6e50afc9d3304e86871b4d44cf2c24b3da7f66a844a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5CEAEVQ2FG4ZUVD3BSV5AFSXGC/bundle.json","state_url":"https://pith.science/pith/5CEAEVQ2FG4ZUVD3BSV5AFSXGC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5CEAEVQ2FG4ZUVD3BSV5AFSXGC/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":"2026-06-24T03:34:24Z","links":{"resolver":"https://pith.science/pith/5CEAEVQ2FG4ZUVD3BSV5AFSXGC","bundle":"https://pith.science/pith/5CEAEVQ2FG4ZUVD3BSV5AFSXGC/bundle.json","state":"https://pith.science/pith/5CEAEVQ2FG4ZUVD3BSV5AFSXGC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5CEAEVQ2FG4ZUVD3BSV5AFSXGC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5CEAEVQ2FG4ZUVD3BSV5AFSXGC","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":"caa1ad0a85c01b67b5ce8ad1f5b2fec376f050f0d08b3941afa729f0d7f50b66","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-04T21:38:51Z","title_canon_sha256":"b173bae8e290e56bd5a3211b72603f0e6f3f30a75df91d0c4a107c664c24251d"},"schema_version":"1.0","source":{"id":"2606.06733","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.06733","created_at":"2026-06-08T01:04:25Z"},{"alias_kind":"arxiv_version","alias_value":"2606.06733v1","created_at":"2026-06-08T01:04:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06733","created_at":"2026-06-08T01:04:25Z"},{"alias_kind":"pith_short_12","alias_value":"5CEAEVQ2FG4Z","created_at":"2026-06-08T01:04:25Z"},{"alias_kind":"pith_short_16","alias_value":"5CEAEVQ2FG4ZUVD3","created_at":"2026-06-08T01:04:25Z"},{"alias_kind":"pith_short_8","alias_value":"5CEAEVQ2","created_at":"2026-06-08T01:04:25Z"}],"graph_snapshots":[{"event_id":"sha256:ef7f88de5af11e1d96d3e6e50afc9d3304e86871b4d44cf2c24b3da7f66a844a","target":"graph","created_at":"2026-06-08T01:04:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.06733/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We settle the projectedness problem for the compactified unpunctured supermoduli stack in every genus at least two. In genus two, the odd component is split, whereas the even component is non-projected. In every genus $g\\geq 3$, both compactified parity components are non-projected.","authors_text":"Mauricio Corr\\^ea, Simone Noja","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-04T21:38:51Z","title":"Compactified supermoduli space is almost never projected"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06733","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":"sha256:66b2ef071db880a72ee5ab4422f623d9abe42b186f98069f9026dd82da4c0fbf","target":"record","created_at":"2026-06-08T01:04:25Z","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":"caa1ad0a85c01b67b5ce8ad1f5b2fec376f050f0d08b3941afa729f0d7f50b66","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-04T21:38:51Z","title_canon_sha256":"b173bae8e290e56bd5a3211b72603f0e6f3f30a75df91d0c4a107c664c24251d"},"schema_version":"1.0","source":{"id":"2606.06733","kind":"arxiv","version":1}},"canonical_sha256":"e88802561a29b99a547b0cabd0165730950a86e64621bfc67f70a4834f190593","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e88802561a29b99a547b0cabd0165730950a86e64621bfc67f70a4834f190593","first_computed_at":"2026-06-08T01:04:25.237590Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-08T01:04:25.237590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wuSfZsfo2PDLJ/Eglq+FJJs62pGs/FLg/qVotNZFbXlZ7GY7v3337GCEXN82ewn+Zj7m/HmqzVA61tFVzM5WCQ==","signature_status":"signed_v1","signed_at":"2026-06-08T01:04:25.238396Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.06733","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66b2ef071db880a72ee5ab4422f623d9abe42b186f98069f9026dd82da4c0fbf","sha256:ef7f88de5af11e1d96d3e6e50afc9d3304e86871b4d44cf2c24b3da7f66a844a"],"state_sha256":"7eef63cc6498d17a6f428a64d6224cc090e0d80440810ad6a20c8353f84c9418"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8hFFPhtO/7UFm5N0ae5fyDIblOkeY/kZeh53UtlK7u7hO44D96priFNj3uN2CgePHyTIfJr1WAC8eKSZoRemBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T03:34:24.631871Z","bundle_sha256":"684589ac5c0273240c8ecc1d19cc7a2ca732dfd0dfaec6833e4dc17e8d33c912"}}