{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:FUDHY5BE3MRIYKCNKDTWW5HUCB","short_pith_number":"pith:FUDHY5BE","canonical_record":{"source":{"id":"1111.6456","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T14:51:20Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"bf72bf0dac9b60763048f633b215cc34436fc6eda1b3f41e4b93d858f8f75edd","abstract_canon_sha256":"db7bf94144986629ab784d8de39a1d3133c8c581e2dfaf44462aa137ca973be7"},"schema_version":"1.0"},"canonical_sha256":"2d067c7424db228c284d50e76b74f41065e9bd3ffdde3e2ca2eb792aae82caec","source":{"kind":"arxiv","id":"1111.6456","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6456","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6456v3","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6456","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"pith_short_12","alias_value":"FUDHY5BE3MRI","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FUDHY5BE3MRIYKCN","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FUDHY5BE","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:FUDHY5BE3MRIYKCNKDTWW5HUCB","target":"record","payload":{"canonical_record":{"source":{"id":"1111.6456","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T14:51:20Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"bf72bf0dac9b60763048f633b215cc34436fc6eda1b3f41e4b93d858f8f75edd","abstract_canon_sha256":"db7bf94144986629ab784d8de39a1d3133c8c581e2dfaf44462aa137ca973be7"},"schema_version":"1.0"},"canonical_sha256":"2d067c7424db228c284d50e76b74f41065e9bd3ffdde3e2ca2eb792aae82caec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:21.177778Z","signature_b64":"tPZettOXbHvMfGOCYtRmWd8r7QSStnbLjqeCKrn/QRlpX40oZcioOjlIZY6dJXRRB/NP0EGPfx3IHIRvcA4oDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d067c7424db228c284d50e76b74f41065e9bd3ffdde3e2ca2eb792aae82caec","last_reissued_at":"2026-05-18T03:45:21.177367Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:21.177367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.6456","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:45:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YXKy/3Sg2FTew1Oz4QueMLmmH/+jCmHigPFPJQl27oFxLq625r4cV8z7KcNPvLxw+DTReSjiHkbG7Kd6MDRJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:08:38.965422Z"},"content_sha256":"722ffa09f4837956388366b7cf603e159ca689f53012bbc29c8bb389a706002a","schema_version":"1.0","event_id":"sha256:722ffa09f4837956388366b7cf603e159ca689f53012bbc29c8bb389a706002a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:FUDHY5BE3MRIYKCNKDTWW5HUCB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Enumerative geometry of the curves defined by y^{d}=f(x)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Alberto Besana, Cristina Martinez","submitted_at":"2011-11-28T14:51:20Z","abstract_excerpt":"We study plane algebraic curves defined over a field k of arbitrary characteristic as coverings of the the projective line and the problem of enumerating branched coverings of $\\mathbb{P}^{1}$ by using combinatorial methods."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6456","kind":"arxiv","version":3},"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":"2026-05-18T03:45:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TnqXrEdr0xQl9IFQR8YRY+BiQwNgDMuG19/j+hO5sYxAaslsDRvx776kTu18OR67cLqRi7XHoZ5Xr4lMKczOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:08:38.965767Z"},"content_sha256":"a84c918e6f79446f3ccbc50ae3d14ed95f10a8e42f0801b7ca83fc519511b209","schema_version":"1.0","event_id":"sha256:a84c918e6f79446f3ccbc50ae3d14ed95f10a8e42f0801b7ca83fc519511b209"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FUDHY5BE3MRIYKCNKDTWW5HUCB/bundle.json","state_url":"https://pith.science/pith/FUDHY5BE3MRIYKCNKDTWW5HUCB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FUDHY5BE3MRIYKCNKDTWW5HUCB/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":"2026-05-28T07:08:38Z","links":{"resolver":"https://pith.science/pith/FUDHY5BE3MRIYKCNKDTWW5HUCB","bundle":"https://pith.science/pith/FUDHY5BE3MRIYKCNKDTWW5HUCB/bundle.json","state":"https://pith.science/pith/FUDHY5BE3MRIYKCNKDTWW5HUCB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FUDHY5BE3MRIYKCNKDTWW5HUCB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FUDHY5BE3MRIYKCNKDTWW5HUCB","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":"db7bf94144986629ab784d8de39a1d3133c8c581e2dfaf44462aa137ca973be7","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T14:51:20Z","title_canon_sha256":"bf72bf0dac9b60763048f633b215cc34436fc6eda1b3f41e4b93d858f8f75edd"},"schema_version":"1.0","source":{"id":"1111.6456","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6456","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6456v3","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6456","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"pith_short_12","alias_value":"FUDHY5BE3MRI","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FUDHY5BE3MRIYKCN","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FUDHY5BE","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:a84c918e6f79446f3ccbc50ae3d14ed95f10a8e42f0801b7ca83fc519511b209","target":"graph","created_at":"2026-05-18T03:45:21Z","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 study plane algebraic curves defined over a field k of arbitrary characteristic as coverings of the the projective line and the problem of enumerating branched coverings of $\\mathbb{P}^{1}$ by using combinatorial methods.","authors_text":"Alberto Besana, Cristina Martinez","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T14:51:20Z","title":"Enumerative geometry of the curves defined by y^{d}=f(x)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6456","kind":"arxiv","version":3},"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":"sha256:722ffa09f4837956388366b7cf603e159ca689f53012bbc29c8bb389a706002a","target":"record","created_at":"2026-05-18T03:45:21Z","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":"db7bf94144986629ab784d8de39a1d3133c8c581e2dfaf44462aa137ca973be7","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T14:51:20Z","title_canon_sha256":"bf72bf0dac9b60763048f633b215cc34436fc6eda1b3f41e4b93d858f8f75edd"},"schema_version":"1.0","source":{"id":"1111.6456","kind":"arxiv","version":3}},"canonical_sha256":"2d067c7424db228c284d50e76b74f41065e9bd3ffdde3e2ca2eb792aae82caec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d067c7424db228c284d50e76b74f41065e9bd3ffdde3e2ca2eb792aae82caec","first_computed_at":"2026-05-18T03:45:21.177367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:21.177367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tPZettOXbHvMfGOCYtRmWd8r7QSStnbLjqeCKrn/QRlpX40oZcioOjlIZY6dJXRRB/NP0EGPfx3IHIRvcA4oDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:21.177778Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.6456","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:722ffa09f4837956388366b7cf603e159ca689f53012bbc29c8bb389a706002a","sha256:a84c918e6f79446f3ccbc50ae3d14ed95f10a8e42f0801b7ca83fc519511b209"],"state_sha256":"78f729ccaa9103400ede6f56afb554c87e18a807b988abbffcbd443eb35cb72e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jnX1zAgaw8TRjydFKo4OdIzc9si9/MRNlgxyg4wONpG1BYQQVrfg5WT9S97JrA8/+TOcH6RyW3sRNROHDQcrAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T07:08:38.967713Z","bundle_sha256":"933c6e39b1cd1baabb38fa8d12322deac670d73fd9189636c4a756dd4d9abed8"}}