{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CE2DDI3LRQWWZSJ6KAH474MMMR","short_pith_number":"pith:CE2DDI3L","canonical_record":{"source":{"id":"1504.08199","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-04-30T12:51:46Z","cross_cats_sorted":[],"title_canon_sha256":"e9e227e5adfd34871ee8635c49c7d995cda17a4242fb159001e724fe7ace03f3","abstract_canon_sha256":"f3770563c1b7e79e3d61a54eaa4c9ff36ffc930b81c22bf0424a82652e484f6d"},"schema_version":"1.0"},"canonical_sha256":"113431a36b8c2d6cc93e500fcff18c6478a6b6f12e4a4b16fd8d754637000093","source":{"kind":"arxiv","id":"1504.08199","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.08199","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"arxiv_version","alias_value":"1504.08199v2","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.08199","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"pith_short_12","alias_value":"CE2DDI3LRQWW","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CE2DDI3LRQWWZSJ6","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CE2DDI3L","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CE2DDI3LRQWWZSJ6KAH474MMMR","target":"record","payload":{"canonical_record":{"source":{"id":"1504.08199","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-04-30T12:51:46Z","cross_cats_sorted":[],"title_canon_sha256":"e9e227e5adfd34871ee8635c49c7d995cda17a4242fb159001e724fe7ace03f3","abstract_canon_sha256":"f3770563c1b7e79e3d61a54eaa4c9ff36ffc930b81c22bf0424a82652e484f6d"},"schema_version":"1.0"},"canonical_sha256":"113431a36b8c2d6cc93e500fcff18c6478a6b6f12e4a4b16fd8d754637000093","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:13.616081Z","signature_b64":"I88FLVPPQ3L8cUZdhBcxDn0jSnQGyODDyDcEKzc+eh5JKwaXscnR8J6EyCjoLmZ0jhvU/+6mrRMspng/v4zeCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"113431a36b8c2d6cc93e500fcff18c6478a6b6f12e4a4b16fd8d754637000093","last_reissued_at":"2026-05-18T00:42:13.615365Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:13.615365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.08199","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":"2026-05-18T00:42:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MFF60wfurJ8I7lqZmrDS5UuRm5cCbsVBysNWrI9nMHiEqK5kxbNSJEvcV5XzWxfdwb+mzxJbHJu+VkXhVPmbCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T09:05:37.618206Z"},"content_sha256":"2926f7201cd0a6f5ff25fada57e4b432295816da04d1f1dd5f86f608f74ae1c6","schema_version":"1.0","event_id":"sha256:2926f7201cd0a6f5ff25fada57e4b432295816da04d1f1dd5f86f608f74ae1c6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CE2DDI3LRQWWZSJ6KAH474MMMR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Superabundant curves and the Artin fan","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dhruv Ranganathan","submitted_at":"2015-04-30T12:51:46Z","abstract_excerpt":"We prove that every balanced 1-dimensional polyhedral complex arises as the tropicalization of a smooth curve over a non-Archimedean field mapping to a toric Artin fan, namely the quotient of a toric variety by its dense torus."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.08199","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":"2026-05-18T00:42:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rUWy0cEwYzrenW7T9D1YkQNk9JUofeTuijkQo4V+Qc87XyGxdD4fq5MXvnWz5zAwWEej2ZPctUeOgjm28gm/CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T09:05:37.618801Z"},"content_sha256":"c2f0766292ea19986fef73189a2d31dc1144e5e1a290d3584e0e7eb1f6380545","schema_version":"1.0","event_id":"sha256:c2f0766292ea19986fef73189a2d31dc1144e5e1a290d3584e0e7eb1f6380545"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CE2DDI3LRQWWZSJ6KAH474MMMR/bundle.json","state_url":"https://pith.science/pith/CE2DDI3LRQWWZSJ6KAH474MMMR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CE2DDI3LRQWWZSJ6KAH474MMMR/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":"2026-05-30T09:05:37Z","links":{"resolver":"https://pith.science/pith/CE2DDI3LRQWWZSJ6KAH474MMMR","bundle":"https://pith.science/pith/CE2DDI3LRQWWZSJ6KAH474MMMR/bundle.json","state":"https://pith.science/pith/CE2DDI3LRQWWZSJ6KAH474MMMR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CE2DDI3LRQWWZSJ6KAH474MMMR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CE2DDI3LRQWWZSJ6KAH474MMMR","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":"f3770563c1b7e79e3d61a54eaa4c9ff36ffc930b81c22bf0424a82652e484f6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-04-30T12:51:46Z","title_canon_sha256":"e9e227e5adfd34871ee8635c49c7d995cda17a4242fb159001e724fe7ace03f3"},"schema_version":"1.0","source":{"id":"1504.08199","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.08199","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"arxiv_version","alias_value":"1504.08199v2","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.08199","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"pith_short_12","alias_value":"CE2DDI3LRQWW","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CE2DDI3LRQWWZSJ6","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CE2DDI3L","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:c2f0766292ea19986fef73189a2d31dc1144e5e1a290d3584e0e7eb1f6380545","target":"graph","created_at":"2026-05-18T00:42:13Z","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 every balanced 1-dimensional polyhedral complex arises as the tropicalization of a smooth curve over a non-Archimedean field mapping to a toric Artin fan, namely the quotient of a toric variety by its dense torus.","authors_text":"Dhruv Ranganathan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-04-30T12:51:46Z","title":"Superabundant curves and the Artin fan"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.08199","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":"sha256:2926f7201cd0a6f5ff25fada57e4b432295816da04d1f1dd5f86f608f74ae1c6","target":"record","created_at":"2026-05-18T00:42:13Z","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":"f3770563c1b7e79e3d61a54eaa4c9ff36ffc930b81c22bf0424a82652e484f6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-04-30T12:51:46Z","title_canon_sha256":"e9e227e5adfd34871ee8635c49c7d995cda17a4242fb159001e724fe7ace03f3"},"schema_version":"1.0","source":{"id":"1504.08199","kind":"arxiv","version":2}},"canonical_sha256":"113431a36b8c2d6cc93e500fcff18c6478a6b6f12e4a4b16fd8d754637000093","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"113431a36b8c2d6cc93e500fcff18c6478a6b6f12e4a4b16fd8d754637000093","first_computed_at":"2026-05-18T00:42:13.615365Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:13.615365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I88FLVPPQ3L8cUZdhBcxDn0jSnQGyODDyDcEKzc+eh5JKwaXscnR8J6EyCjoLmZ0jhvU/+6mrRMspng/v4zeCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:13.616081Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.08199","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2926f7201cd0a6f5ff25fada57e4b432295816da04d1f1dd5f86f608f74ae1c6","sha256:c2f0766292ea19986fef73189a2d31dc1144e5e1a290d3584e0e7eb1f6380545"],"state_sha256":"6a73d9d1cc102901bcde13dbfc172b0f3bc4f8d8c8a2da4ce097654da1c3b105"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p92KR82PfBJH8lZmFmAxdEoG/uUo9paygQbHW9vV51OTv6xdkrjYuVjzvYXZm8evrfCXl4NVxohAxOSBwVt2Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T09:05:37.621861Z","bundle_sha256":"240d70220bd922ed80f025ff0165454389efa28073e7c4170245128dc053d125"}}