{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:J57KONNNMXJ7LC7UTMIAHURYYE","short_pith_number":"pith:J57KONNN","canonical_record":{"source":{"id":"2305.16207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2023-05-25T16:07:42Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"e37ec717aa0c8644aacd36ae8ac07c8a65700af1ba5630096f62d8c271a443cc","abstract_canon_sha256":"76a16eccb110d55274132b6a3576be8eb9bc2bd76b6db9156f797472820584b7"},"schema_version":"1.0"},"canonical_sha256":"4f7ea735ad65d3f58bf49b1003d238c103100e0e0aae46421e8146eabb411bda","source":{"kind":"arxiv","id":"2305.16207","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.16207","created_at":"2026-07-05T11:56:12Z"},{"alias_kind":"arxiv_version","alias_value":"2305.16207v2","created_at":"2026-07-05T11:56:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.16207","created_at":"2026-07-05T11:56:12Z"},{"alias_kind":"pith_short_12","alias_value":"J57KONNNMXJ7","created_at":"2026-07-05T11:56:12Z"},{"alias_kind":"pith_short_16","alias_value":"J57KONNNMXJ7LC7U","created_at":"2026-07-05T11:56:12Z"},{"alias_kind":"pith_short_8","alias_value":"J57KONNN","created_at":"2026-07-05T11:56:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:J57KONNNMXJ7LC7UTMIAHURYYE","target":"record","payload":{"canonical_record":{"source":{"id":"2305.16207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2023-05-25T16:07:42Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"e37ec717aa0c8644aacd36ae8ac07c8a65700af1ba5630096f62d8c271a443cc","abstract_canon_sha256":"76a16eccb110d55274132b6a3576be8eb9bc2bd76b6db9156f797472820584b7"},"schema_version":"1.0"},"canonical_sha256":"4f7ea735ad65d3f58bf49b1003d238c103100e0e0aae46421e8146eabb411bda","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:56:12.495125Z","signature_b64":"YnwdAIk488nxednhHxtIOzK9Ih2nBpeisJ3AqgKc6E6gQbM0kcYB9PovlcDitBPqabsjIKn8/1MmodbhPPSbAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f7ea735ad65d3f58bf49b1003d238c103100e0e0aae46421e8146eabb411bda","last_reissued_at":"2026-07-05T11:56:12.494654Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:56:12.494654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.16207","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":"2026-07-05T11:56:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CFN/2VIlIbKVNeA6dNIGTUpGNp6h5c5z8gizshmVD6w7zquUH5pwES3WOzJXyKOwrvrhxAWxN2DhXW81WWc+Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T01:19:12.227530Z"},"content_sha256":"3b468a1fdee9d1308acaba3122bb75f28e9d7f738e0906a3d5ea6f980af5ef0e","schema_version":"1.0","event_id":"sha256:3b468a1fdee9d1308acaba3122bb75f28e9d7f738e0906a3d5ea6f980af5ef0e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:J57KONNNMXJ7LC7UTMIAHURYYE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Small symplectic caps and embeddings of homology balls in the complex projective plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Agniva Roy, Hyunki Min, John B. Etnyre, Lisa Piccirillo","submitted_at":"2023-05-25T16:07:42Z","abstract_excerpt":"We present a handlebody construction of small symplectic caps, and hence of small closed symplectic 4-manifolds. We use this to construct handlebody descriptions of symplectic embeddings of rational homology balls in $\\mathbb{C}\\mathrm{P}^2$, and thereby provide the first examples of (infinitely many) symplectic handlebody decompositions of a closed symplectic 4-manifold. Our constructions provide a new topological interpretation of almost toric fibrations of $\\mathbb{C}\\mathrm{P}^2$ in terms of symplectic handlebody decompositions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.16207","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.16207/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":"2026-07-05T11:56:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fC5gbKRLVyVzIqLQPo1Bim+QotW4Y/kX0/C8GGS7kbA1+ZgqE/by+zSpibSgBPIEt+s5ptO52qUpoP1f8yjEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T01:19:12.228051Z"},"content_sha256":"7d3df79dcd5756de262a1e31fc4cac6e49ffe82a94fa9042e4397ce5fca07074","schema_version":"1.0","event_id":"sha256:7d3df79dcd5756de262a1e31fc4cac6e49ffe82a94fa9042e4397ce5fca07074"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J57KONNNMXJ7LC7UTMIAHURYYE/bundle.json","state_url":"https://pith.science/pith/J57KONNNMXJ7LC7UTMIAHURYYE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J57KONNNMXJ7LC7UTMIAHURYYE/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":"2026-08-19T01:19:12Z","links":{"resolver":"https://pith.science/pith/J57KONNNMXJ7LC7UTMIAHURYYE","bundle":"https://pith.science/pith/J57KONNNMXJ7LC7UTMIAHURYYE/bundle.json","state":"https://pith.science/pith/J57KONNNMXJ7LC7UTMIAHURYYE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J57KONNNMXJ7LC7UTMIAHURYYE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:J57KONNNMXJ7LC7UTMIAHURYYE","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":"76a16eccb110d55274132b6a3576be8eb9bc2bd76b6db9156f797472820584b7","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2023-05-25T16:07:42Z","title_canon_sha256":"e37ec717aa0c8644aacd36ae8ac07c8a65700af1ba5630096f62d8c271a443cc"},"schema_version":"1.0","source":{"id":"2305.16207","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.16207","created_at":"2026-07-05T11:56:12Z"},{"alias_kind":"arxiv_version","alias_value":"2305.16207v2","created_at":"2026-07-05T11:56:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.16207","created_at":"2026-07-05T11:56:12Z"},{"alias_kind":"pith_short_12","alias_value":"J57KONNNMXJ7","created_at":"2026-07-05T11:56:12Z"},{"alias_kind":"pith_short_16","alias_value":"J57KONNNMXJ7LC7U","created_at":"2026-07-05T11:56:12Z"},{"alias_kind":"pith_short_8","alias_value":"J57KONNN","created_at":"2026-07-05T11:56:12Z"}],"graph_snapshots":[{"event_id":"sha256:7d3df79dcd5756de262a1e31fc4cac6e49ffe82a94fa9042e4397ce5fca07074","target":"graph","created_at":"2026-07-05T11:56:12Z","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/2305.16207/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a handlebody construction of small symplectic caps, and hence of small closed symplectic 4-manifolds. We use this to construct handlebody descriptions of symplectic embeddings of rational homology balls in $\\mathbb{C}\\mathrm{P}^2$, and thereby provide the first examples of (infinitely many) symplectic handlebody decompositions of a closed symplectic 4-manifold. Our constructions provide a new topological interpretation of almost toric fibrations of $\\mathbb{C}\\mathrm{P}^2$ in terms of symplectic handlebody decompositions.","authors_text":"Agniva Roy, Hyunki Min, John B. Etnyre, Lisa Piccirillo","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2023-05-25T16:07:42Z","title":"Small symplectic caps and embeddings of homology balls in the complex projective plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.16207","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":"sha256:3b468a1fdee9d1308acaba3122bb75f28e9d7f738e0906a3d5ea6f980af5ef0e","target":"record","created_at":"2026-07-05T11:56:12Z","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":"76a16eccb110d55274132b6a3576be8eb9bc2bd76b6db9156f797472820584b7","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2023-05-25T16:07:42Z","title_canon_sha256":"e37ec717aa0c8644aacd36ae8ac07c8a65700af1ba5630096f62d8c271a443cc"},"schema_version":"1.0","source":{"id":"2305.16207","kind":"arxiv","version":2}},"canonical_sha256":"4f7ea735ad65d3f58bf49b1003d238c103100e0e0aae46421e8146eabb411bda","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f7ea735ad65d3f58bf49b1003d238c103100e0e0aae46421e8146eabb411bda","first_computed_at":"2026-07-05T11:56:12.494654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:56:12.494654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YnwdAIk488nxednhHxtIOzK9Ih2nBpeisJ3AqgKc6E6gQbM0kcYB9PovlcDitBPqabsjIKn8/1MmodbhPPSbAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:56:12.495125Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.16207","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b468a1fdee9d1308acaba3122bb75f28e9d7f738e0906a3d5ea6f980af5ef0e","sha256:7d3df79dcd5756de262a1e31fc4cac6e49ffe82a94fa9042e4397ce5fca07074"],"state_sha256":"31a88db6c3f816fd44fbf7fae31219ff557349c3b82b90a52cb9383c3eb79d0b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O/rj8x1vmAQoAFTzX9AXVF7vLsTZlj85V26827fFYY6qE90gceQNRHhxAoSqMOTw9aDnq8RMj0xb/5kRnoSEDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T01:19:12.232164Z","bundle_sha256":"2008addd68b94c2f122af31eb42fd1c6355eaefb38e983d18746fe0c3cc14cb1"}}