{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ZJSZBNDYTMELERHRYTQIL3GRG3","short_pith_number":"pith:ZJSZBNDY","canonical_record":{"source":{"id":"1207.0092","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-06-30T13:21:26Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"544183e2c6a930f4cbd924399a159efc7bd7b8ee7372f4f86acbf3011fefbce1","abstract_canon_sha256":"271395e66c31ab1b18b29b56918ec7fe314297ffc2519420c6b2333459f6e737"},"schema_version":"1.0"},"canonical_sha256":"ca6590b4789b08b244f1c4e085ecd136cd919c85fe2682556cf41824b86df560","source":{"kind":"arxiv","id":"1207.0092","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0092","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0092v2","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0092","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"pith_short_12","alias_value":"ZJSZBNDYTMEL","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZJSZBNDYTMELERHR","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZJSZBNDY","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ZJSZBNDYTMELERHRYTQIL3GRG3","target":"record","payload":{"canonical_record":{"source":{"id":"1207.0092","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-06-30T13:21:26Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"544183e2c6a930f4cbd924399a159efc7bd7b8ee7372f4f86acbf3011fefbce1","abstract_canon_sha256":"271395e66c31ab1b18b29b56918ec7fe314297ffc2519420c6b2333459f6e737"},"schema_version":"1.0"},"canonical_sha256":"ca6590b4789b08b244f1c4e085ecd136cd919c85fe2682556cf41824b86df560","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:40.945810Z","signature_b64":"cqHugEX9XXmil3OwYIDCVj9tX25n4m43BZQE+n3U7ZaXKWobyG4fluL9/iCD8gOmVP0XHvveSP9k0dNw/bi6BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca6590b4789b08b244f1c4e085ecd136cd919c85fe2682556cf41824b86df560","last_reissued_at":"2026-05-18T01:00:40.945311Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:40.945311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.0092","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:00:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nMR6hRaU4Z/JNa8j7QuL1/6lf9PFluE12m3fD4261sLXnZkTctrlAKHWTEDRG0/fpsb6GSwy/hT3MYJXaHtQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:19:27.442070Z"},"content_sha256":"1ec8306ec3cade9c2ca5a7a313adff902e25bb95f8061e95173bf04267b00f50","schema_version":"1.0","event_id":"sha256:1ec8306ec3cade9c2ca5a7a313adff902e25bb95f8061e95173bf04267b00f50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ZJSZBNDYTMELERHRYTQIL3GRG3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Moduli spaces of toric manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.SG","authors_text":"\\'Alvaro Pelayo, Ana Rita Pires, Silvia Sabatini, Tudor S. Ratiu","submitted_at":"2012-06-30T13:21:26Z","abstract_excerpt":"We construct a distance on the moduli space of symplectic toric manifolds of dimension four. Then we study some basic topological properties of this space, in particular, path-connectedness, compactness, and completeness. The construction of the distance is related to the Duistermaat-Heckman measure and the Hausdorff metric. While the moduli space, its topology and metric, may be constructed in any dimension, the tools we use in the proofs are four-dimensional, and hence so is our main result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0092","kind":"arxiv","version":2},"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":"2026-05-18T01:00:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gf+7r3OmbshIJZPlSszs6OVBtlgFHhhVqKLl3YZQ2mxZcwBKB48AgK/XPr2Znpl1iLdam4KGdQ2v/y03AlcQAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:19:27.442435Z"},"content_sha256":"efbfa541dc9ef0b42f3d559ca244a5d3549dfd611271b180d2eac16cc781d9c6","schema_version":"1.0","event_id":"sha256:efbfa541dc9ef0b42f3d559ca244a5d3549dfd611271b180d2eac16cc781d9c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZJSZBNDYTMELERHRYTQIL3GRG3/bundle.json","state_url":"https://pith.science/pith/ZJSZBNDYTMELERHRYTQIL3GRG3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZJSZBNDYTMELERHRYTQIL3GRG3/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":"2026-06-02T01:19:27Z","links":{"resolver":"https://pith.science/pith/ZJSZBNDYTMELERHRYTQIL3GRG3","bundle":"https://pith.science/pith/ZJSZBNDYTMELERHRYTQIL3GRG3/bundle.json","state":"https://pith.science/pith/ZJSZBNDYTMELERHRYTQIL3GRG3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZJSZBNDYTMELERHRYTQIL3GRG3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZJSZBNDYTMELERHRYTQIL3GRG3","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":"271395e66c31ab1b18b29b56918ec7fe314297ffc2519420c6b2333459f6e737","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-06-30T13:21:26Z","title_canon_sha256":"544183e2c6a930f4cbd924399a159efc7bd7b8ee7372f4f86acbf3011fefbce1"},"schema_version":"1.0","source":{"id":"1207.0092","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0092","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0092v2","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0092","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"pith_short_12","alias_value":"ZJSZBNDYTMEL","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZJSZBNDYTMELERHR","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZJSZBNDY","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:efbfa541dc9ef0b42f3d559ca244a5d3549dfd611271b180d2eac16cc781d9c6","target":"graph","created_at":"2026-05-18T01:00:40Z","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 construct a distance on the moduli space of symplectic toric manifolds of dimension four. Then we study some basic topological properties of this space, in particular, path-connectedness, compactness, and completeness. The construction of the distance is related to the Duistermaat-Heckman measure and the Hausdorff metric. While the moduli space, its topology and metric, may be constructed in any dimension, the tools we use in the proofs are four-dimensional, and hence so is our main result.","authors_text":"\\'Alvaro Pelayo, Ana Rita Pires, Silvia Sabatini, Tudor S. Ratiu","cross_cats":["math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-06-30T13:21:26Z","title":"Moduli spaces of toric manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0092","kind":"arxiv","version":2},"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":"sha256:1ec8306ec3cade9c2ca5a7a313adff902e25bb95f8061e95173bf04267b00f50","target":"record","created_at":"2026-05-18T01:00:40Z","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":"271395e66c31ab1b18b29b56918ec7fe314297ffc2519420c6b2333459f6e737","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-06-30T13:21:26Z","title_canon_sha256":"544183e2c6a930f4cbd924399a159efc7bd7b8ee7372f4f86acbf3011fefbce1"},"schema_version":"1.0","source":{"id":"1207.0092","kind":"arxiv","version":2}},"canonical_sha256":"ca6590b4789b08b244f1c4e085ecd136cd919c85fe2682556cf41824b86df560","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca6590b4789b08b244f1c4e085ecd136cd919c85fe2682556cf41824b86df560","first_computed_at":"2026-05-18T01:00:40.945311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:40.945311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cqHugEX9XXmil3OwYIDCVj9tX25n4m43BZQE+n3U7ZaXKWobyG4fluL9/iCD8gOmVP0XHvveSP9k0dNw/bi6BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:40.945810Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.0092","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ec8306ec3cade9c2ca5a7a313adff902e25bb95f8061e95173bf04267b00f50","sha256:efbfa541dc9ef0b42f3d559ca244a5d3549dfd611271b180d2eac16cc781d9c6"],"state_sha256":"52722d003753021565a2fa352116603a16b585362ddae0b639e412045794ddbf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yS2xEZYXQcui3nIMnNGGSJn0dmjRo8EEkXKuIobhE3adzTzafhvmUUgssc/BCHCCRYFSkgBhmUP9I0WGElPeCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:19:27.444413Z","bundle_sha256":"750629aedca5d82c3806245f8bd6b613e829da03aa9dc046d4b81febe213894a"}}