{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:RGZWVCIYH3UDKXRA4DSPLS2Q5K","short_pith_number":"pith:RGZWVCIY","canonical_record":{"source":{"id":"1304.7542","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-04-29T00:21:22Z","cross_cats_sorted":[],"title_canon_sha256":"302276c629ba6df18e833854e00673f364af96309b9d89de1ccd26d733b83bfb","abstract_canon_sha256":"f16ad09c097ab49916b3cdbf3f1588a516e3fa12ad808200623d0da57732aece"},"schema_version":"1.0"},"canonical_sha256":"89b36a89183ee8355e20e0e4f5cb50eabad1f01a14e210fdf81df5fdca5eae19","source":{"kind":"arxiv","id":"1304.7542","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.7542","created_at":"2026-05-18T03:26:53Z"},{"alias_kind":"arxiv_version","alias_value":"1304.7542v1","created_at":"2026-05-18T03:26:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.7542","created_at":"2026-05-18T03:26:53Z"},{"alias_kind":"pith_short_12","alias_value":"RGZWVCIYH3UD","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RGZWVCIYH3UDKXRA","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RGZWVCIY","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:RGZWVCIYH3UDKXRA4DSPLS2Q5K","target":"record","payload":{"canonical_record":{"source":{"id":"1304.7542","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-04-29T00:21:22Z","cross_cats_sorted":[],"title_canon_sha256":"302276c629ba6df18e833854e00673f364af96309b9d89de1ccd26d733b83bfb","abstract_canon_sha256":"f16ad09c097ab49916b3cdbf3f1588a516e3fa12ad808200623d0da57732aece"},"schema_version":"1.0"},"canonical_sha256":"89b36a89183ee8355e20e0e4f5cb50eabad1f01a14e210fdf81df5fdca5eae19","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:53.731224Z","signature_b64":"SIQ2+l8kN5JFo/ajl7asN0CwASzZtI+0sRMhkh5skLzJofRfiZIPuk8fIV7E8hOTfka1gJmz758Q041g2qLYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89b36a89183ee8355e20e0e4f5cb50eabad1f01a14e210fdf81df5fdca5eae19","last_reissued_at":"2026-05-18T03:26:53.730430Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:53.730430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.7542","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":"2026-05-18T03:26:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zSAhk85wbcH+330aS0fBMBEq9fdylM9GmXeJdCBtXizL60GKrxco/87ofKTWA1mwua3gMqyfZs9NKLPgx21bDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:58:11.067273Z"},"content_sha256":"239aa9a7015cdd7ffb491e6e8e35bbc69aef5658ccf89b0727115c6ea303ffc1","schema_version":"1.0","event_id":"sha256:239aa9a7015cdd7ffb491e6e8e35bbc69aef5658ccf89b0727115c6ea303ffc1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:RGZWVCIYH3UDKXRA4DSPLS2Q5K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Symbolic Generic Initial System of Points on an Irreducible Conic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Sarah Mayes","submitted_at":"2013-04-29T00:21:22Z","abstract_excerpt":"In this note we study the limiting behaviour of the symbolic generic initial system of an ideal I in K[x,y,z] corresponding to an arrangement of r points of P2 lying on an irreducible conic. In particular, we show that the limiting shape of this system is the subset of R2 such consisting of all points above the line through (2,0) and (0, r/2) when r is greater than or equal to four."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7542","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":"2026-05-18T03:26:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2DXog3NXEWILCwz50r1HI+179OVdkV87dFiTE1fs7IQdK3g8q71LAQpn050gZEXwLf/+wKQes6bnz154lj98Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:58:11.067652Z"},"content_sha256":"8a09a9a7f380abff0d65803fbb9cfd28a671d9eb661993d815770c0cce825237","schema_version":"1.0","event_id":"sha256:8a09a9a7f380abff0d65803fbb9cfd28a671d9eb661993d815770c0cce825237"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RGZWVCIYH3UDKXRA4DSPLS2Q5K/bundle.json","state_url":"https://pith.science/pith/RGZWVCIYH3UDKXRA4DSPLS2Q5K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RGZWVCIYH3UDKXRA4DSPLS2Q5K/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":"2026-05-31T18:58:11Z","links":{"resolver":"https://pith.science/pith/RGZWVCIYH3UDKXRA4DSPLS2Q5K","bundle":"https://pith.science/pith/RGZWVCIYH3UDKXRA4DSPLS2Q5K/bundle.json","state":"https://pith.science/pith/RGZWVCIYH3UDKXRA4DSPLS2Q5K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RGZWVCIYH3UDKXRA4DSPLS2Q5K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RGZWVCIYH3UDKXRA4DSPLS2Q5K","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":"f16ad09c097ab49916b3cdbf3f1588a516e3fa12ad808200623d0da57732aece","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-04-29T00:21:22Z","title_canon_sha256":"302276c629ba6df18e833854e00673f364af96309b9d89de1ccd26d733b83bfb"},"schema_version":"1.0","source":{"id":"1304.7542","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.7542","created_at":"2026-05-18T03:26:53Z"},{"alias_kind":"arxiv_version","alias_value":"1304.7542v1","created_at":"2026-05-18T03:26:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.7542","created_at":"2026-05-18T03:26:53Z"},{"alias_kind":"pith_short_12","alias_value":"RGZWVCIYH3UD","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RGZWVCIYH3UDKXRA","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RGZWVCIY","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:8a09a9a7f380abff0d65803fbb9cfd28a671d9eb661993d815770c0cce825237","target":"graph","created_at":"2026-05-18T03:26:53Z","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 study the limiting behaviour of the symbolic generic initial system of an ideal I in K[x,y,z] corresponding to an arrangement of r points of P2 lying on an irreducible conic. In particular, we show that the limiting shape of this system is the subset of R2 such consisting of all points above the line through (2,0) and (0, r/2) when r is greater than or equal to four.","authors_text":"Sarah Mayes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-04-29T00:21:22Z","title":"The Symbolic Generic Initial System of Points on an Irreducible Conic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7542","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":"sha256:239aa9a7015cdd7ffb491e6e8e35bbc69aef5658ccf89b0727115c6ea303ffc1","target":"record","created_at":"2026-05-18T03:26:53Z","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":"f16ad09c097ab49916b3cdbf3f1588a516e3fa12ad808200623d0da57732aece","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-04-29T00:21:22Z","title_canon_sha256":"302276c629ba6df18e833854e00673f364af96309b9d89de1ccd26d733b83bfb"},"schema_version":"1.0","source":{"id":"1304.7542","kind":"arxiv","version":1}},"canonical_sha256":"89b36a89183ee8355e20e0e4f5cb50eabad1f01a14e210fdf81df5fdca5eae19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89b36a89183ee8355e20e0e4f5cb50eabad1f01a14e210fdf81df5fdca5eae19","first_computed_at":"2026-05-18T03:26:53.730430Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:53.730430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SIQ2+l8kN5JFo/ajl7asN0CwASzZtI+0sRMhkh5skLzJofRfiZIPuk8fIV7E8hOTfka1gJmz758Q041g2qLYCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:53.731224Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.7542","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:239aa9a7015cdd7ffb491e6e8e35bbc69aef5658ccf89b0727115c6ea303ffc1","sha256:8a09a9a7f380abff0d65803fbb9cfd28a671d9eb661993d815770c0cce825237"],"state_sha256":"a8801f6b331b3741e5ab51eb4177e9430d3a5c79b5ae374ce2531ae633b8f26f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+KNbd6pFeipGcaVOOZ5IDSkqJ5O9ge7Er1Tx7UrBOkLBWjoH+oFdUqs0sMBBdA2tCxjBqmWaidKWsD7DJ58CAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T18:58:11.070268Z","bundle_sha256":"898c7dcd005a665ff485967d5d39a6b4e6b1ffe0ee40c007567daa7bd98f4f46"}}