{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:TCXWMOFUVWJANPT3SVZTFBDI4J","short_pith_number":"pith:TCXWMOFU","canonical_record":{"source":{"id":"2501.08451","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2025-01-14T21:40:30Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"cc2d197b6c690fd543442adaa11882e6dc4f7ef54d98d392b6c0810daa29956c","abstract_canon_sha256":"418b03e47270d8cc22bf6957f08d21730210bdf3380925129962b768dd1446f0"},"schema_version":"1.0"},"canonical_sha256":"98af6638b4ad9206be7b9573328468e2573f9d218514c08de8ba4cb454d7d12f","source":{"kind":"arxiv","id":"2501.08451","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.08451","created_at":"2026-07-05T10:01:02Z"},{"alias_kind":"arxiv_version","alias_value":"2501.08451v1","created_at":"2026-07-05T10:01:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.08451","created_at":"2026-07-05T10:01:02Z"},{"alias_kind":"pith_short_12","alias_value":"TCXWMOFUVWJA","created_at":"2026-07-05T10:01:02Z"},{"alias_kind":"pith_short_16","alias_value":"TCXWMOFUVWJANPT3","created_at":"2026-07-05T10:01:02Z"},{"alias_kind":"pith_short_8","alias_value":"TCXWMOFU","created_at":"2026-07-05T10:01:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:TCXWMOFUVWJANPT3SVZTFBDI4J","target":"record","payload":{"canonical_record":{"source":{"id":"2501.08451","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2025-01-14T21:40:30Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"cc2d197b6c690fd543442adaa11882e6dc4f7ef54d98d392b6c0810daa29956c","abstract_canon_sha256":"418b03e47270d8cc22bf6957f08d21730210bdf3380925129962b768dd1446f0"},"schema_version":"1.0"},"canonical_sha256":"98af6638b4ad9206be7b9573328468e2573f9d218514c08de8ba4cb454d7d12f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:01:02.732682Z","signature_b64":"Od/Usw/oNi+xPFTDRh/jX4DTSu4pcLwZ2xuX+NIEaBnHJOMQlZvDC+75LRJrQF571GGUOWRkrRpSSM8Pm+Y1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98af6638b4ad9206be7b9573328468e2573f9d218514c08de8ba4cb454d7d12f","last_reissued_at":"2026-07-05T10:01:02.732245Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:01:02.732245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.08451","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":"2026-07-05T10:01:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lQEBQvfjbb8fnmt6Nt9sbmoTx/pxBgM43BzLNxQsdncc6k6xEH383H4GWiCiJXVQdkKOl5lXNwJp0giJQJl6Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T10:39:37.835505Z"},"content_sha256":"a1e17be7f42cd67f631436dbb6798bf00ab9119b96f604af623fefbafc296da2","schema_version":"1.0","event_id":"sha256:a1e17be7f42cd67f631436dbb6798bf00ab9119b96f604af623fefbafc296da2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:TCXWMOFUVWJANPT3SVZTFBDI4J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Properties of contact toric structures and concave boundaries of linear plumbings","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.SG","authors_text":"Aleksandra Marinkovi\\'c, Ana Rechtman, Jo Nelson, Laura Starkston, Luya Wang, Shira Tanny","submitted_at":"2025-01-14T21:40:30Z","abstract_excerpt":"We consider plumbings of symplectic disk bundles over spheres admitting concave contact boundary, with the goal of understanding the geometric properties of the boundary contact structure in terms of the data of the plumbing. We focus on the linear plumbing case in this article. We study the properties of the contact structure using two different sets of tools. First, we prove that all such contact manifolds have a global contact toric structure, and use tools from toric geometry to identify when the contact structure is tight versus overtwisted. Second, we study algebraic torsion measurements"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.08451","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/2501.08451/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":"2026-07-05T10:01:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cpbfQbqJhs0tJS2uXIlcHDLnj77iUvmhAHvlBOVpQcYWdR7zOkMpP17gAmiF0zqiQg7l21/nI13LV+J8ViUIDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T10:39:37.836025Z"},"content_sha256":"7148741e5eb902a3b40ada30d68fc54b8ad867ed2e9f2c7d719264d26fcaba9b","schema_version":"1.0","event_id":"sha256:7148741e5eb902a3b40ada30d68fc54b8ad867ed2e9f2c7d719264d26fcaba9b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TCXWMOFUVWJANPT3SVZTFBDI4J/bundle.json","state_url":"https://pith.science/pith/TCXWMOFUVWJANPT3SVZTFBDI4J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TCXWMOFUVWJANPT3SVZTFBDI4J/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":"2026-08-18T10:39:37Z","links":{"resolver":"https://pith.science/pith/TCXWMOFUVWJANPT3SVZTFBDI4J","bundle":"https://pith.science/pith/TCXWMOFUVWJANPT3SVZTFBDI4J/bundle.json","state":"https://pith.science/pith/TCXWMOFUVWJANPT3SVZTFBDI4J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TCXWMOFUVWJANPT3SVZTFBDI4J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:TCXWMOFUVWJANPT3SVZTFBDI4J","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":"418b03e47270d8cc22bf6957f08d21730210bdf3380925129962b768dd1446f0","cross_cats_sorted":["math.GT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2025-01-14T21:40:30Z","title_canon_sha256":"cc2d197b6c690fd543442adaa11882e6dc4f7ef54d98d392b6c0810daa29956c"},"schema_version":"1.0","source":{"id":"2501.08451","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.08451","created_at":"2026-07-05T10:01:02Z"},{"alias_kind":"arxiv_version","alias_value":"2501.08451v1","created_at":"2026-07-05T10:01:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.08451","created_at":"2026-07-05T10:01:02Z"},{"alias_kind":"pith_short_12","alias_value":"TCXWMOFUVWJA","created_at":"2026-07-05T10:01:02Z"},{"alias_kind":"pith_short_16","alias_value":"TCXWMOFUVWJANPT3","created_at":"2026-07-05T10:01:02Z"},{"alias_kind":"pith_short_8","alias_value":"TCXWMOFU","created_at":"2026-07-05T10:01:02Z"}],"graph_snapshots":[{"event_id":"sha256:7148741e5eb902a3b40ada30d68fc54b8ad867ed2e9f2c7d719264d26fcaba9b","target":"graph","created_at":"2026-07-05T10:01:02Z","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/2501.08451/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider plumbings of symplectic disk bundles over spheres admitting concave contact boundary, with the goal of understanding the geometric properties of the boundary contact structure in terms of the data of the plumbing. We focus on the linear plumbing case in this article. We study the properties of the contact structure using two different sets of tools. First, we prove that all such contact manifolds have a global contact toric structure, and use tools from toric geometry to identify when the contact structure is tight versus overtwisted. Second, we study algebraic torsion measurements","authors_text":"Aleksandra Marinkovi\\'c, Ana Rechtman, Jo Nelson, Laura Starkston, Luya Wang, Shira Tanny","cross_cats":["math.GT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2025-01-14T21:40:30Z","title":"Properties of contact toric structures and concave boundaries of linear plumbings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.08451","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:a1e17be7f42cd67f631436dbb6798bf00ab9119b96f604af623fefbafc296da2","target":"record","created_at":"2026-07-05T10:01:02Z","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":"418b03e47270d8cc22bf6957f08d21730210bdf3380925129962b768dd1446f0","cross_cats_sorted":["math.GT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2025-01-14T21:40:30Z","title_canon_sha256":"cc2d197b6c690fd543442adaa11882e6dc4f7ef54d98d392b6c0810daa29956c"},"schema_version":"1.0","source":{"id":"2501.08451","kind":"arxiv","version":1}},"canonical_sha256":"98af6638b4ad9206be7b9573328468e2573f9d218514c08de8ba4cb454d7d12f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98af6638b4ad9206be7b9573328468e2573f9d218514c08de8ba4cb454d7d12f","first_computed_at":"2026-07-05T10:01:02.732245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:01:02.732245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Od/Usw/oNi+xPFTDRh/jX4DTSu4pcLwZ2xuX+NIEaBnHJOMQlZvDC+75LRJrQF571GGUOWRkrRpSSM8Pm+Y1Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:01:02.732682Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.08451","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1e17be7f42cd67f631436dbb6798bf00ab9119b96f604af623fefbafc296da2","sha256:7148741e5eb902a3b40ada30d68fc54b8ad867ed2e9f2c7d719264d26fcaba9b"],"state_sha256":"2067f92f5dacca888956d7e6994df3c201a9d19880b48fb8234f21e8eed6e4f6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HpZcuFyu4TNkrv3GtplpLdPjAihGdnYNFWy1BavY/0McxzpjFKXqJaLyfBcfR4MLEqxZhpub39ah+Y0kOiIbAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T10:39:37.840915Z","bundle_sha256":"e62f70f25c0db49334d13ad90a17918a67c7c3cebff037f98faabfc13de6e428"}}