{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:HXRPTBAAQRMCWUBTK3UUVGGIU2","short_pith_number":"pith:HXRPTBAA","canonical_record":{"source":{"id":"1412.3957","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-12T11:46:57Z","cross_cats_sorted":[],"title_canon_sha256":"78d54cc6fe19da0de9001bd99c5bc328776e2baab18b2ef2ba4834e68d0f11f1","abstract_canon_sha256":"1b72aee751e4dea42b2b7aa8e9772eeb7eb78ec20d904bef39a5a3d8be0209fc"},"schema_version":"1.0"},"canonical_sha256":"3de2f9840084582b503356e94a98c8a6ba89c1f4a7edaadd33a1206578a91333","source":{"kind":"arxiv","id":"1412.3957","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3957","created_at":"2026-05-18T01:25:30Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3957v2","created_at":"2026-05-18T01:25:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3957","created_at":"2026-05-18T01:25:30Z"},{"alias_kind":"pith_short_12","alias_value":"HXRPTBAAQRMC","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HXRPTBAAQRMCWUBT","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HXRPTBAA","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:HXRPTBAAQRMCWUBTK3UUVGGIU2","target":"record","payload":{"canonical_record":{"source":{"id":"1412.3957","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-12T11:46:57Z","cross_cats_sorted":[],"title_canon_sha256":"78d54cc6fe19da0de9001bd99c5bc328776e2baab18b2ef2ba4834e68d0f11f1","abstract_canon_sha256":"1b72aee751e4dea42b2b7aa8e9772eeb7eb78ec20d904bef39a5a3d8be0209fc"},"schema_version":"1.0"},"canonical_sha256":"3de2f9840084582b503356e94a98c8a6ba89c1f4a7edaadd33a1206578a91333","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:30.763817Z","signature_b64":"9dxvhuLw65sNG0niFRV4s0YLMsrmgsbObcx3PWQEPNIX7L/wBSr07JpLS0mbF+3z2piPU33ut5wETu41hgA2BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3de2f9840084582b503356e94a98c8a6ba89c1f4a7edaadd33a1206578a91333","last_reissued_at":"2026-05-18T01:25:30.763384Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:30.763384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.3957","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":"2026-05-18T01:25:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UlQmbHf0lAbqQddYAKi5Pm08C6u+ZdiWh7lKtx6v/IM3rWqBH3nvfVs11z9MzxGzXwpBT4lzwy2EXeuJ9gw8AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T20:46:31.766837Z"},"content_sha256":"707a979f0a19edbde22911e9762e4e719c44808c552f1f369e00ff864a6df256","schema_version":"1.0","event_id":"sha256:707a979f0a19edbde22911e9762e4e719c44808c552f1f369e00ff864a6df256"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:HXRPTBAAQRMCWUBTK3UUVGGIU2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hypergeometric Functions for Projective Toric Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Christine Berkesch Zamaere, Jens Forsg{\\aa}rd, Laura Felicia Matusevich","submitted_at":"2014-12-12T11:46:57Z","abstract_excerpt":"We produce a decomposition of the parameter space of the $A$-hypergeometric system associated to a projective monomial curve as a union of an arrangement of lines and its complement, in such a way that the analytic behavior of the solutions of the system is explicitly controlled within each term of the union."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3957","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":"2026-05-18T01:25:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q3wEUcDa7mo0QXEOLINmcNCEpS9uYNh6uSQBeTurK3DmW+H8u2De38Lii6FBcdJonHXCTD75oaVtW229hdpSDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T20:46:31.767521Z"},"content_sha256":"071e69d2ed1b31a3a2e330c23a53cc1541431b2102489504f2fe55385015db09","schema_version":"1.0","event_id":"sha256:071e69d2ed1b31a3a2e330c23a53cc1541431b2102489504f2fe55385015db09"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HXRPTBAAQRMCWUBTK3UUVGGIU2/bundle.json","state_url":"https://pith.science/pith/HXRPTBAAQRMCWUBTK3UUVGGIU2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HXRPTBAAQRMCWUBTK3UUVGGIU2/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":"2026-05-22T20:46:31Z","links":{"resolver":"https://pith.science/pith/HXRPTBAAQRMCWUBTK3UUVGGIU2","bundle":"https://pith.science/pith/HXRPTBAAQRMCWUBTK3UUVGGIU2/bundle.json","state":"https://pith.science/pith/HXRPTBAAQRMCWUBTK3UUVGGIU2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HXRPTBAAQRMCWUBTK3UUVGGIU2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HXRPTBAAQRMCWUBTK3UUVGGIU2","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":"1b72aee751e4dea42b2b7aa8e9772eeb7eb78ec20d904bef39a5a3d8be0209fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-12T11:46:57Z","title_canon_sha256":"78d54cc6fe19da0de9001bd99c5bc328776e2baab18b2ef2ba4834e68d0f11f1"},"schema_version":"1.0","source":{"id":"1412.3957","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3957","created_at":"2026-05-18T01:25:30Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3957v2","created_at":"2026-05-18T01:25:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3957","created_at":"2026-05-18T01:25:30Z"},{"alias_kind":"pith_short_12","alias_value":"HXRPTBAAQRMC","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HXRPTBAAQRMCWUBT","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HXRPTBAA","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:071e69d2ed1b31a3a2e330c23a53cc1541431b2102489504f2fe55385015db09","target":"graph","created_at":"2026-05-18T01:25:30Z","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":"We produce a decomposition of the parameter space of the $A$-hypergeometric system associated to a projective monomial curve as a union of an arrangement of lines and its complement, in such a way that the analytic behavior of the solutions of the system is explicitly controlled within each term of the union.","authors_text":"Christine Berkesch Zamaere, Jens Forsg{\\aa}rd, Laura Felicia Matusevich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-12T11:46:57Z","title":"Hypergeometric Functions for Projective Toric Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3957","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":"sha256:707a979f0a19edbde22911e9762e4e719c44808c552f1f369e00ff864a6df256","target":"record","created_at":"2026-05-18T01:25:30Z","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":"1b72aee751e4dea42b2b7aa8e9772eeb7eb78ec20d904bef39a5a3d8be0209fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-12T11:46:57Z","title_canon_sha256":"78d54cc6fe19da0de9001bd99c5bc328776e2baab18b2ef2ba4834e68d0f11f1"},"schema_version":"1.0","source":{"id":"1412.3957","kind":"arxiv","version":2}},"canonical_sha256":"3de2f9840084582b503356e94a98c8a6ba89c1f4a7edaadd33a1206578a91333","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3de2f9840084582b503356e94a98c8a6ba89c1f4a7edaadd33a1206578a91333","first_computed_at":"2026-05-18T01:25:30.763384Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:30.763384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9dxvhuLw65sNG0niFRV4s0YLMsrmgsbObcx3PWQEPNIX7L/wBSr07JpLS0mbF+3z2piPU33ut5wETu41hgA2BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:30.763817Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.3957","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:707a979f0a19edbde22911e9762e4e719c44808c552f1f369e00ff864a6df256","sha256:071e69d2ed1b31a3a2e330c23a53cc1541431b2102489504f2fe55385015db09"],"state_sha256":"53b1fea0a1048f225aef391118a7d96926357f3e19ae9de3d40649366f7fdcc0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fRFqE506FgOQKcvD0yb24iLAkuNFw9B/sC+IpP3EbYODc7FWwT2aP+IVUoSRFsylpJKdImkR7l1ChypNsIO6DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T20:46:31.770872Z","bundle_sha256":"2c3cdaf3c18f8bbf1d8edd25d01af8a2d7eaa182972deed4318555ffe8ad3559"}}