{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:FBCERC6NBLCQCMVWCRX3CYQKA5","short_pith_number":"pith:FBCERC6N","canonical_record":{"source":{"id":"1511.09254","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-30T11:41:22Z","cross_cats_sorted":[],"title_canon_sha256":"78b5e988ce24fc9a5c85ce5aaac72b64abd85c9da99674b33168a9dff0b9c538","abstract_canon_sha256":"68ad83f6dff6603c0bce761773522e9cd4f4ddf5f914492a16a13a81399a2650"},"schema_version":"1.0"},"canonical_sha256":"2844488bcd0ac50132b6146fb1620a075687da3ba97ec708df665d40ccdda190","source":{"kind":"arxiv","id":"1511.09254","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.09254","created_at":"2026-05-18T00:16:56Z"},{"alias_kind":"arxiv_version","alias_value":"1511.09254v1","created_at":"2026-05-18T00:16:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.09254","created_at":"2026-05-18T00:16:56Z"},{"alias_kind":"pith_short_12","alias_value":"FBCERC6NBLCQ","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FBCERC6NBLCQCMVW","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FBCERC6N","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:FBCERC6NBLCQCMVWCRX3CYQKA5","target":"record","payload":{"canonical_record":{"source":{"id":"1511.09254","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-30T11:41:22Z","cross_cats_sorted":[],"title_canon_sha256":"78b5e988ce24fc9a5c85ce5aaac72b64abd85c9da99674b33168a9dff0b9c538","abstract_canon_sha256":"68ad83f6dff6603c0bce761773522e9cd4f4ddf5f914492a16a13a81399a2650"},"schema_version":"1.0"},"canonical_sha256":"2844488bcd0ac50132b6146fb1620a075687da3ba97ec708df665d40ccdda190","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:56.937159Z","signature_b64":"vupaNN8jsqPI+dUNZff1qL5+Do0f16gXKVd1AwHqJq2XzBxoXUjQf3g0m1QmP9Zi3Y9957KNKd8hshhtgMffBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2844488bcd0ac50132b6146fb1620a075687da3ba97ec708df665d40ccdda190","last_reissued_at":"2026-05-18T00:16:56.936559Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:56.936559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.09254","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":"2026-05-18T00:16:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZcYh+J6pTAWZtSxd1RftJDgYxoePtI4T9eqaKlyQ3Z5EzlPEyUysDB7X5C8enVstcpXvzvPBJMm9YhSLEb4ACQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:30:26.314902Z"},"content_sha256":"c72f897ab8b0f387bc496006be24d7b02fca839533cc394c61ec48a829795d50","schema_version":"1.0","event_id":"sha256:c72f897ab8b0f387bc496006be24d7b02fca839533cc394c61ec48a829795d50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:FBCERC6NBLCQCMVWCRX3CYQKA5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On some conjectures about free and nearly free divisors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alejandro Melle-Hern\\'andez, Enrique Artal Bartolo, Ignacio Luengo, Leire Gorrochategui","submitted_at":"2015-11-30T11:41:22Z","abstract_excerpt":"In this paper infinite families of examples of irreducible free and nearly free curves in the complex projective plane which are not rational curves and whose local singularites can have an arbitrary number of branches are given. All these examples answer negatively to some conjectures proposed by A. Dimca and G. Sticlaru. Our examples say nothing about the most remarkable conjecture by A. Dimca and G. Sticlaru, i.e. every rational cuspidal plane curve is either free or nearly free."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.09254","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":""},"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":"2026-05-18T00:16:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lxeNCllI1RKOMMaCUD8YMWte94CHQRyKB+gcNZN52uteL7UanjTwnacpmGh5lapVzJer1dte2giupfspug9gCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:30:26.315608Z"},"content_sha256":"a3742de1dcd440c58414aad6043557a0bf0d0bafdd4d52af7a31ce3731da9b26","schema_version":"1.0","event_id":"sha256:a3742de1dcd440c58414aad6043557a0bf0d0bafdd4d52af7a31ce3731da9b26"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FBCERC6NBLCQCMVWCRX3CYQKA5/bundle.json","state_url":"https://pith.science/pith/FBCERC6NBLCQCMVWCRX3CYQKA5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FBCERC6NBLCQCMVWCRX3CYQKA5/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":"2026-06-07T16:30:26Z","links":{"resolver":"https://pith.science/pith/FBCERC6NBLCQCMVWCRX3CYQKA5","bundle":"https://pith.science/pith/FBCERC6NBLCQCMVWCRX3CYQKA5/bundle.json","state":"https://pith.science/pith/FBCERC6NBLCQCMVWCRX3CYQKA5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FBCERC6NBLCQCMVWCRX3CYQKA5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FBCERC6NBLCQCMVWCRX3CYQKA5","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":"68ad83f6dff6603c0bce761773522e9cd4f4ddf5f914492a16a13a81399a2650","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-30T11:41:22Z","title_canon_sha256":"78b5e988ce24fc9a5c85ce5aaac72b64abd85c9da99674b33168a9dff0b9c538"},"schema_version":"1.0","source":{"id":"1511.09254","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.09254","created_at":"2026-05-18T00:16:56Z"},{"alias_kind":"arxiv_version","alias_value":"1511.09254v1","created_at":"2026-05-18T00:16:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.09254","created_at":"2026-05-18T00:16:56Z"},{"alias_kind":"pith_short_12","alias_value":"FBCERC6NBLCQ","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FBCERC6NBLCQCMVW","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FBCERC6N","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:a3742de1dcd440c58414aad6043557a0bf0d0bafdd4d52af7a31ce3731da9b26","target":"graph","created_at":"2026-05-18T00:16:56Z","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 paper infinite families of examples of irreducible free and nearly free curves in the complex projective plane which are not rational curves and whose local singularites can have an arbitrary number of branches are given. All these examples answer negatively to some conjectures proposed by A. Dimca and G. Sticlaru. Our examples say nothing about the most remarkable conjecture by A. Dimca and G. Sticlaru, i.e. every rational cuspidal plane curve is either free or nearly free.","authors_text":"Alejandro Melle-Hern\\'andez, Enrique Artal Bartolo, Ignacio Luengo, Leire Gorrochategui","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-30T11:41:22Z","title":"On some conjectures about free and nearly free divisors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.09254","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:c72f897ab8b0f387bc496006be24d7b02fca839533cc394c61ec48a829795d50","target":"record","created_at":"2026-05-18T00:16:56Z","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":"68ad83f6dff6603c0bce761773522e9cd4f4ddf5f914492a16a13a81399a2650","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-30T11:41:22Z","title_canon_sha256":"78b5e988ce24fc9a5c85ce5aaac72b64abd85c9da99674b33168a9dff0b9c538"},"schema_version":"1.0","source":{"id":"1511.09254","kind":"arxiv","version":1}},"canonical_sha256":"2844488bcd0ac50132b6146fb1620a075687da3ba97ec708df665d40ccdda190","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2844488bcd0ac50132b6146fb1620a075687da3ba97ec708df665d40ccdda190","first_computed_at":"2026-05-18T00:16:56.936559Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:56.936559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vupaNN8jsqPI+dUNZff1qL5+Do0f16gXKVd1AwHqJq2XzBxoXUjQf3g0m1QmP9Zi3Y9957KNKd8hshhtgMffBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:56.937159Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.09254","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c72f897ab8b0f387bc496006be24d7b02fca839533cc394c61ec48a829795d50","sha256:a3742de1dcd440c58414aad6043557a0bf0d0bafdd4d52af7a31ce3731da9b26"],"state_sha256":"02611fcc254e530e063de1be1d421434753ed4c5c75023d8d05da9c5fdb27c79"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MF8ddWclzfixoIiRHenkbuPvWdQndN0sjMAYd3gv556pNxV/ZA6deEkw/6SaS85CL4KLIW6rj/5iiBn1yHaqCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:30:26.319497Z","bundle_sha256":"f13073c49d2c27bd03968eaa3f89d16958a08a0a61c9b42a5b25353aa466d19a"}}