{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:43EZS3ELI65OQIKHSDNYFFIYUH","short_pith_number":"pith:43EZS3EL","canonical_record":{"source":{"id":"1506.06097","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-19T17:47:53Z","cross_cats_sorted":[],"title_canon_sha256":"d010be6b174edaeabde51a10ad98196fc6dfd8a92d951863803415f4ac1bae08","abstract_canon_sha256":"de0e80aea1ea2432c9ef44f36ad3cbf0c6623641fd93c28860a41428cd84acdf"},"schema_version":"1.0"},"canonical_sha256":"e6c9996c8b47bae8214790db829518a1fba59b382f05b9b3955cff51a77f9861","source":{"kind":"arxiv","id":"1506.06097","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06097","created_at":"2026-05-18T01:15:38Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06097v2","created_at":"2026-05-18T01:15:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06097","created_at":"2026-05-18T01:15:38Z"},{"alias_kind":"pith_short_12","alias_value":"43EZS3ELI65O","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"43EZS3ELI65OQIKH","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"43EZS3EL","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:43EZS3ELI65OQIKHSDNYFFIYUH","target":"record","payload":{"canonical_record":{"source":{"id":"1506.06097","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-19T17:47:53Z","cross_cats_sorted":[],"title_canon_sha256":"d010be6b174edaeabde51a10ad98196fc6dfd8a92d951863803415f4ac1bae08","abstract_canon_sha256":"de0e80aea1ea2432c9ef44f36ad3cbf0c6623641fd93c28860a41428cd84acdf"},"schema_version":"1.0"},"canonical_sha256":"e6c9996c8b47bae8214790db829518a1fba59b382f05b9b3955cff51a77f9861","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:38.721705Z","signature_b64":"fH3glTbBnWSKQDK8mLw2iCwJYA/7HRh7+TiHdIfDQakIoHHINr04/B4Z+82R4eoBjoowMC9NMnfpcHUpui5TBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6c9996c8b47bae8214790db829518a1fba59b382f05b9b3955cff51a77f9861","last_reissued_at":"2026-05-18T01:15:38.721050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:38.721050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.06097","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":"2026-05-18T01:15:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uke3HyDwypLGDqTuVyB2ohyNBzcMtkhM7hDJWO1Q6TnWWD1eAczzkdh99NQEKlrkO8TGWQIvpFTNwsX9AsPiBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T13:23:10.669466Z"},"content_sha256":"ee78f9a56cc133f0dc7010301213e847411151b66eb54900cb17cf1b6396490a","schema_version":"1.0","event_id":"sha256:ee78f9a56cc133f0dc7010301213e847411151b66eb54900cb17cf1b6396490a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:43EZS3ELI65OQIKHSDNYFFIYUH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Harbourne constants and conic configurations on the projective plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Halszka Tutaj-Gasi\\'nska, Piotr Pokora","submitted_at":"2015-06-19T17:47:53Z","abstract_excerpt":"In this note we exhibit the so-called Harbourne constants which capture and measure the Bounded Negativity on various birational models of an algebraic surface. We show an estimation for Harbourne constants for conic configurations on the complex projective plane with transversal intersection points."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06097","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":"2026-05-18T01:15:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SeTrVKEraI+0NsbcKo7e3oOKxpNPEzhl6gh/cmmLYNPAVQn2ioG+WF+cPlAAP+o2hmc7MhtKofoNiyG2M5oXDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T13:23:10.669813Z"},"content_sha256":"8a81bff2ba50ebdf721d2f776366e64c01c64448e5a836ad6eb45a2450e9a4de","schema_version":"1.0","event_id":"sha256:8a81bff2ba50ebdf721d2f776366e64c01c64448e5a836ad6eb45a2450e9a4de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/43EZS3ELI65OQIKHSDNYFFIYUH/bundle.json","state_url":"https://pith.science/pith/43EZS3ELI65OQIKHSDNYFFIYUH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/43EZS3ELI65OQIKHSDNYFFIYUH/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":"2026-06-05T13:23:10Z","links":{"resolver":"https://pith.science/pith/43EZS3ELI65OQIKHSDNYFFIYUH","bundle":"https://pith.science/pith/43EZS3ELI65OQIKHSDNYFFIYUH/bundle.json","state":"https://pith.science/pith/43EZS3ELI65OQIKHSDNYFFIYUH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/43EZS3ELI65OQIKHSDNYFFIYUH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:43EZS3ELI65OQIKHSDNYFFIYUH","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":"de0e80aea1ea2432c9ef44f36ad3cbf0c6623641fd93c28860a41428cd84acdf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-19T17:47:53Z","title_canon_sha256":"d010be6b174edaeabde51a10ad98196fc6dfd8a92d951863803415f4ac1bae08"},"schema_version":"1.0","source":{"id":"1506.06097","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06097","created_at":"2026-05-18T01:15:38Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06097v2","created_at":"2026-05-18T01:15:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06097","created_at":"2026-05-18T01:15:38Z"},{"alias_kind":"pith_short_12","alias_value":"43EZS3ELI65O","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"43EZS3ELI65OQIKH","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"43EZS3EL","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:8a81bff2ba50ebdf721d2f776366e64c01c64448e5a836ad6eb45a2450e9a4de","target":"graph","created_at":"2026-05-18T01:15:38Z","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":"In this note we exhibit the so-called Harbourne constants which capture and measure the Bounded Negativity on various birational models of an algebraic surface. We show an estimation for Harbourne constants for conic configurations on the complex projective plane with transversal intersection points.","authors_text":"Halszka Tutaj-Gasi\\'nska, Piotr Pokora","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-19T17:47:53Z","title":"Harbourne constants and conic configurations on the projective plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06097","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:ee78f9a56cc133f0dc7010301213e847411151b66eb54900cb17cf1b6396490a","target":"record","created_at":"2026-05-18T01:15:38Z","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":"de0e80aea1ea2432c9ef44f36ad3cbf0c6623641fd93c28860a41428cd84acdf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-19T17:47:53Z","title_canon_sha256":"d010be6b174edaeabde51a10ad98196fc6dfd8a92d951863803415f4ac1bae08"},"schema_version":"1.0","source":{"id":"1506.06097","kind":"arxiv","version":2}},"canonical_sha256":"e6c9996c8b47bae8214790db829518a1fba59b382f05b9b3955cff51a77f9861","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6c9996c8b47bae8214790db829518a1fba59b382f05b9b3955cff51a77f9861","first_computed_at":"2026-05-18T01:15:38.721050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:38.721050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fH3glTbBnWSKQDK8mLw2iCwJYA/7HRh7+TiHdIfDQakIoHHINr04/B4Z+82R4eoBjoowMC9NMnfpcHUpui5TBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:38.721705Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.06097","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee78f9a56cc133f0dc7010301213e847411151b66eb54900cb17cf1b6396490a","sha256:8a81bff2ba50ebdf721d2f776366e64c01c64448e5a836ad6eb45a2450e9a4de"],"state_sha256":"696d58de7a929244d63ec5001f32f736c0a35920cc6bc4f7ac33935679f3d8cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zz4q/01X+2Lkl8oky/9NKj03aa/bU2fAhkcvyEw4ArYfTPeWgqMDn1vIXo40KG737BscD2bm9GzrJgzFj8IuCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T13:23:10.671762Z","bundle_sha256":"8812ca36a99e4a6684f5a3a896da5bd44bd59076e4087a4ac5b3045eb611c1ea"}}