{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HQLAZJF2JOO2PRBT7KZ4LN3WHI","short_pith_number":"pith:HQLAZJF2","canonical_record":{"source":{"id":"1706.05938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-19T13:42:52Z","cross_cats_sorted":["math.AC","math.CV"],"title_canon_sha256":"b269f0f085a45f96d4111fe118add131f310edd7efc13c84203bf3bc6eeaedfe","abstract_canon_sha256":"08f5944e7e4058f3d09bfa2583c8192bde28c67c5cfa556a4a840b5b4389e3d7"},"schema_version":"1.0"},"canonical_sha256":"3c160ca4ba4b9da7c433fab3c5b7763a0c6695f54859fed9c5e46b37cb7739c0","source":{"kind":"arxiv","id":"1706.05938","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.05938","created_at":"2026-05-18T00:08:46Z"},{"alias_kind":"arxiv_version","alias_value":"1706.05938v2","created_at":"2026-05-18T00:08:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05938","created_at":"2026-05-18T00:08:46Z"},{"alias_kind":"pith_short_12","alias_value":"HQLAZJF2JOO2","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HQLAZJF2JOO2PRBT","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HQLAZJF2","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HQLAZJF2JOO2PRBT7KZ4LN3WHI","target":"record","payload":{"canonical_record":{"source":{"id":"1706.05938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-19T13:42:52Z","cross_cats_sorted":["math.AC","math.CV"],"title_canon_sha256":"b269f0f085a45f96d4111fe118add131f310edd7efc13c84203bf3bc6eeaedfe","abstract_canon_sha256":"08f5944e7e4058f3d09bfa2583c8192bde28c67c5cfa556a4a840b5b4389e3d7"},"schema_version":"1.0"},"canonical_sha256":"3c160ca4ba4b9da7c433fab3c5b7763a0c6695f54859fed9c5e46b37cb7739c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:46.464539Z","signature_b64":"eNojUx2/Hrr+lP6RCyG3JRb47PxzBhlajAUdOCrOvi5zUT2ORK5GR2i4xJmPRcGF4z1xrO5ihS30bCiodsbjBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c160ca4ba4b9da7c433fab3c5b7763a0c6695f54859fed9c5e46b37cb7739c0","last_reissued_at":"2026-05-18T00:08:46.463802Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:46.463802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.05938","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":"2026-05-18T00:08:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gm97Gtmc1w538i3CCFbNiMzv3w/FLN8jBw4PMWMx3GiSwRK9fb3o5Q1pVf+9p3KBcWgpbJu3WVxEWq603YyNDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:57:54.311808Z"},"content_sha256":"3917d89f1780b115cd2a2cc2943935e942b84d7a61f62b5ec3cb88a81256e2c3","schema_version":"1.0","event_id":"sha256:3917d89f1780b115cd2a2cc2943935e942b84d7a61f62b5ec3cb88a81256e2c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HQLAZJF2JOO2PRBT7KZ4LN3WHI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local topological algebraicity with algebraic coefficients of analytic sets or functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.CV"],"primary_cat":"math.AG","authors_text":"Guillaume Rond","submitted_at":"2017-06-19T13:42:52Z","abstract_excerpt":"We prove that any complex or real analytic set or function germ is topologically equivalent to a germ defined by polynomial equations whose coefficients are algebraic numbers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05938","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":"2026-05-18T00:08:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZFqix86cA9gxbhtBG+TQ+xDUvdcEoShG18Hds0UU7Fnk9kIMCUGQggBuZDPRLa5k9chuDpMQSDQAmuisZCxYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:57:54.312476Z"},"content_sha256":"c364895dedbd8ef73da2ea12037b687d3e94d1d17e2868fba8f5fab86522b68c","schema_version":"1.0","event_id":"sha256:c364895dedbd8ef73da2ea12037b687d3e94d1d17e2868fba8f5fab86522b68c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI/bundle.json","state_url":"https://pith.science/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI/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":"2026-06-07T21:57:54Z","links":{"resolver":"https://pith.science/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI","bundle":"https://pith.science/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI/bundle.json","state":"https://pith.science/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HQLAZJF2JOO2PRBT7KZ4LN3WHI","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":"08f5944e7e4058f3d09bfa2583c8192bde28c67c5cfa556a4a840b5b4389e3d7","cross_cats_sorted":["math.AC","math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-19T13:42:52Z","title_canon_sha256":"b269f0f085a45f96d4111fe118add131f310edd7efc13c84203bf3bc6eeaedfe"},"schema_version":"1.0","source":{"id":"1706.05938","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.05938","created_at":"2026-05-18T00:08:46Z"},{"alias_kind":"arxiv_version","alias_value":"1706.05938v2","created_at":"2026-05-18T00:08:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05938","created_at":"2026-05-18T00:08:46Z"},{"alias_kind":"pith_short_12","alias_value":"HQLAZJF2JOO2","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HQLAZJF2JOO2PRBT","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HQLAZJF2","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:c364895dedbd8ef73da2ea12037b687d3e94d1d17e2868fba8f5fab86522b68c","target":"graph","created_at":"2026-05-18T00:08:46Z","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 prove that any complex or real analytic set or function germ is topologically equivalent to a germ defined by polynomial equations whose coefficients are algebraic numbers.","authors_text":"Guillaume Rond","cross_cats":["math.AC","math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-19T13:42:52Z","title":"Local topological algebraicity with algebraic coefficients of analytic sets or functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05938","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":"sha256:3917d89f1780b115cd2a2cc2943935e942b84d7a61f62b5ec3cb88a81256e2c3","target":"record","created_at":"2026-05-18T00:08:46Z","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":"08f5944e7e4058f3d09bfa2583c8192bde28c67c5cfa556a4a840b5b4389e3d7","cross_cats_sorted":["math.AC","math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-19T13:42:52Z","title_canon_sha256":"b269f0f085a45f96d4111fe118add131f310edd7efc13c84203bf3bc6eeaedfe"},"schema_version":"1.0","source":{"id":"1706.05938","kind":"arxiv","version":2}},"canonical_sha256":"3c160ca4ba4b9da7c433fab3c5b7763a0c6695f54859fed9c5e46b37cb7739c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c160ca4ba4b9da7c433fab3c5b7763a0c6695f54859fed9c5e46b37cb7739c0","first_computed_at":"2026-05-18T00:08:46.463802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:46.463802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eNojUx2/Hrr+lP6RCyG3JRb47PxzBhlajAUdOCrOvi5zUT2ORK5GR2i4xJmPRcGF4z1xrO5ihS30bCiodsbjBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:46.464539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.05938","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3917d89f1780b115cd2a2cc2943935e942b84d7a61f62b5ec3cb88a81256e2c3","sha256:c364895dedbd8ef73da2ea12037b687d3e94d1d17e2868fba8f5fab86522b68c"],"state_sha256":"4dfe8b1794c83b3aeb412a6aed600db0d55dcf98de3a5e751e174e66e8e5a1c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VoaQxqoPLZBafASaO1SC57WnTihUatw1clwAMdDs9b6TRZUPMNfsqwN2yeyS8IenFY3BDzgYkWCcWVC+1rfBAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T21:57:54.316128Z","bundle_sha256":"d63fdfd43b0c38b390e343419d14e5236e1a1650f268b033c27b96b15237b206"}}