{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:H6KE36UPZJZIQAQD64C63SOJPT","short_pith_number":"pith:H6KE36UP","canonical_record":{"source":{"id":"2506.14118","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2025-06-17T02:22:05Z","cross_cats_sorted":["math.AG","math.CO"],"title_canon_sha256":"d8025aab60edbc3fca79c6e42e9ddb07a24d38655d1a7f7123030c91e0bf2631","abstract_canon_sha256":"e4f0571bfb6cb0a8dc390b68714b194916a0de78d5b297456aed694c43e05699"},"schema_version":"1.0"},"canonical_sha256":"3f944dfa8fca72880203f705edc9c97cc2ed69cacefa60d66eb19e08ac865e5e","source":{"kind":"arxiv","id":"2506.14118","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.14118","created_at":"2026-07-05T11:22:49Z"},{"alias_kind":"arxiv_version","alias_value":"2506.14118v1","created_at":"2026-07-05T11:22:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.14118","created_at":"2026-07-05T11:22:49Z"},{"alias_kind":"pith_short_12","alias_value":"H6KE36UPZJZI","created_at":"2026-07-05T11:22:49Z"},{"alias_kind":"pith_short_16","alias_value":"H6KE36UPZJZIQAQD","created_at":"2026-07-05T11:22:49Z"},{"alias_kind":"pith_short_8","alias_value":"H6KE36UP","created_at":"2026-07-05T11:22:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:H6KE36UPZJZIQAQD64C63SOJPT","target":"record","payload":{"canonical_record":{"source":{"id":"2506.14118","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2025-06-17T02:22:05Z","cross_cats_sorted":["math.AG","math.CO"],"title_canon_sha256":"d8025aab60edbc3fca79c6e42e9ddb07a24d38655d1a7f7123030c91e0bf2631","abstract_canon_sha256":"e4f0571bfb6cb0a8dc390b68714b194916a0de78d5b297456aed694c43e05699"},"schema_version":"1.0"},"canonical_sha256":"3f944dfa8fca72880203f705edc9c97cc2ed69cacefa60d66eb19e08ac865e5e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:22:49.434609Z","signature_b64":"oNJE3Fx3JcveZyIxQGrXX0R3qsgVoItt2M0wRcLicDoKjCIT6i6AR0+Oh4rRU7LcC3X5QViFPbt1yegXCRGFCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f944dfa8fca72880203f705edc9c97cc2ed69cacefa60d66eb19e08ac865e5e","last_reissued_at":"2026-07-05T11:22:49.434193Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:22:49.434193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.14118","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":"2026-07-05T11:22:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qWHwPeBSD2gxlJiCrgnAEUV5Nqi1wA//r/QZAvRnD3ZMQ9/swuvmOHxA9RELxOxJI0nuoP7aMbpYXWyp80zxAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T12:33:39.336107Z"},"content_sha256":"d086dda18e59ca551920ded3a9f7647fe520e152f17ad496a4fe97ebd4d25b2f","schema_version":"1.0","event_id":"sha256:d086dda18e59ca551920ded3a9f7647fe520e152f17ad496a4fe97ebd4d25b2f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:H6KE36UPZJZIQAQD64C63SOJPT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Examples of complete Calabi--Yau metrics on affine smoothings of irregular toric Calabi--Yau cones","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG","math.CO"],"primary_cat":"math.DG","authors_text":"Ronan J. Conlon, Tran-Trung Nghiem","submitted_at":"2025-06-17T02:22:05Z","abstract_excerpt":"We present new examples of affine Calabi--Yau manifolds of Euclidean volume growth and quadratic curvature decay, whose tangent cones at infinity are irregular and have smooth links. In the process, we demonstrate (and provide the relevant computer code) how to explicitly compute the Reeb field and all Minkowski decompositions of a given toric Calabi--Yau cone with smooth link from the data of its toric polytope. Minkowski decompositions of this polytope into lattice segments and/or triangles give rise to smoothings of the given cone. Furthermore, we propose an effective strategy to generate s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.14118","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/2506.14118/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":"2026-07-05T11:22:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MyGrRT3wE528EzN6MtdIu2etnKJ0UUvQDtK7C0Rwrl96y3pRDcnd/qXq6OH1yxlHlrpBExEzfwlXLv5HiVu9Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T12:33:39.337023Z"},"content_sha256":"69372a0c312a5deeb02e9d2a51e468e015092cde55d655bc63322a0431b5a886","schema_version":"1.0","event_id":"sha256:69372a0c312a5deeb02e9d2a51e468e015092cde55d655bc63322a0431b5a886"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H6KE36UPZJZIQAQD64C63SOJPT/bundle.json","state_url":"https://pith.science/pith/H6KE36UPZJZIQAQD64C63SOJPT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H6KE36UPZJZIQAQD64C63SOJPT/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":"2026-08-13T12:33:39Z","links":{"resolver":"https://pith.science/pith/H6KE36UPZJZIQAQD64C63SOJPT","bundle":"https://pith.science/pith/H6KE36UPZJZIQAQD64C63SOJPT/bundle.json","state":"https://pith.science/pith/H6KE36UPZJZIQAQD64C63SOJPT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H6KE36UPZJZIQAQD64C63SOJPT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:H6KE36UPZJZIQAQD64C63SOJPT","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":"e4f0571bfb6cb0a8dc390b68714b194916a0de78d5b297456aed694c43e05699","cross_cats_sorted":["math.AG","math.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2025-06-17T02:22:05Z","title_canon_sha256":"d8025aab60edbc3fca79c6e42e9ddb07a24d38655d1a7f7123030c91e0bf2631"},"schema_version":"1.0","source":{"id":"2506.14118","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.14118","created_at":"2026-07-05T11:22:49Z"},{"alias_kind":"arxiv_version","alias_value":"2506.14118v1","created_at":"2026-07-05T11:22:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.14118","created_at":"2026-07-05T11:22:49Z"},{"alias_kind":"pith_short_12","alias_value":"H6KE36UPZJZI","created_at":"2026-07-05T11:22:49Z"},{"alias_kind":"pith_short_16","alias_value":"H6KE36UPZJZIQAQD","created_at":"2026-07-05T11:22:49Z"},{"alias_kind":"pith_short_8","alias_value":"H6KE36UP","created_at":"2026-07-05T11:22:49Z"}],"graph_snapshots":[{"event_id":"sha256:69372a0c312a5deeb02e9d2a51e468e015092cde55d655bc63322a0431b5a886","target":"graph","created_at":"2026-07-05T11:22:49Z","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/2506.14118/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present new examples of affine Calabi--Yau manifolds of Euclidean volume growth and quadratic curvature decay, whose tangent cones at infinity are irregular and have smooth links. In the process, we demonstrate (and provide the relevant computer code) how to explicitly compute the Reeb field and all Minkowski decompositions of a given toric Calabi--Yau cone with smooth link from the data of its toric polytope. Minkowski decompositions of this polytope into lattice segments and/or triangles give rise to smoothings of the given cone. Furthermore, we propose an effective strategy to generate s","authors_text":"Ronan J. Conlon, Tran-Trung Nghiem","cross_cats":["math.AG","math.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2025-06-17T02:22:05Z","title":"Examples of complete Calabi--Yau metrics on affine smoothings of irregular toric Calabi--Yau cones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.14118","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:d086dda18e59ca551920ded3a9f7647fe520e152f17ad496a4fe97ebd4d25b2f","target":"record","created_at":"2026-07-05T11:22:49Z","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":"e4f0571bfb6cb0a8dc390b68714b194916a0de78d5b297456aed694c43e05699","cross_cats_sorted":["math.AG","math.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2025-06-17T02:22:05Z","title_canon_sha256":"d8025aab60edbc3fca79c6e42e9ddb07a24d38655d1a7f7123030c91e0bf2631"},"schema_version":"1.0","source":{"id":"2506.14118","kind":"arxiv","version":1}},"canonical_sha256":"3f944dfa8fca72880203f705edc9c97cc2ed69cacefa60d66eb19e08ac865e5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f944dfa8fca72880203f705edc9c97cc2ed69cacefa60d66eb19e08ac865e5e","first_computed_at":"2026-07-05T11:22:49.434193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:22:49.434193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oNJE3Fx3JcveZyIxQGrXX0R3qsgVoItt2M0wRcLicDoKjCIT6i6AR0+Oh4rRU7LcC3X5QViFPbt1yegXCRGFCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:22:49.434609Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.14118","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d086dda18e59ca551920ded3a9f7647fe520e152f17ad496a4fe97ebd4d25b2f","sha256:69372a0c312a5deeb02e9d2a51e468e015092cde55d655bc63322a0431b5a886"],"state_sha256":"3c0ca27dd2c9bc80d0955fdc2e652e804f250a1cdc22860df44396175c927270"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5kaYYJLY/4pjmX1awofnMHbzQ6jc5d7KxZAFmNFzKOTQFBJc121w5OQ1yBv1/CbIFrkFchGKl3v1Rbsgra5hDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T12:33:39.360078Z","bundle_sha256":"c24737c5acf8987dddfdcc0d4fda85a40f353fcfd6f6efe9ae76401339eb55f7"}}