{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:32MOGIDKDYEPNWKXTXV62D27E4","short_pith_number":"pith:32MOGIDK","canonical_record":{"source":{"id":"1211.2011","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.AG","submitted_at":"2012-11-08T22:59:43Z","cross_cats_sorted":[],"title_canon_sha256":"61bea06a2814a5e7749b7a55a7d14806ade61c08e25b3f193ff48eb316d52f04","abstract_canon_sha256":"d4290b77f651b04a0915a7e2bf62fdf5c4c3b480515498ee10673a60152e312c"},"schema_version":"1.0"},"canonical_sha256":"de98e3206a1e08f6d9579debed0f5f272b7080979400fba3f54fc7b7f6981e06","source":{"kind":"arxiv","id":"1211.2011","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2011","created_at":"2026-05-18T02:51:08Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2011v1","created_at":"2026-05-18T02:51:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2011","created_at":"2026-05-18T02:51:08Z"},{"alias_kind":"pith_short_12","alias_value":"32MOGIDKDYEP","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"32MOGIDKDYEPNWKX","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"32MOGIDK","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:32MOGIDKDYEPNWKXTXV62D27E4","target":"record","payload":{"canonical_record":{"source":{"id":"1211.2011","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.AG","submitted_at":"2012-11-08T22:59:43Z","cross_cats_sorted":[],"title_canon_sha256":"61bea06a2814a5e7749b7a55a7d14806ade61c08e25b3f193ff48eb316d52f04","abstract_canon_sha256":"d4290b77f651b04a0915a7e2bf62fdf5c4c3b480515498ee10673a60152e312c"},"schema_version":"1.0"},"canonical_sha256":"de98e3206a1e08f6d9579debed0f5f272b7080979400fba3f54fc7b7f6981e06","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:08.716706Z","signature_b64":"N9/z1S6Ua4XqRSfvHbCkjgCEu+iHoOZWuBcPNZd1CV4P6Gculb+xQbQIDtHmK4/Ftar1JyU0Hy7LcJrGOanUDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de98e3206a1e08f6d9579debed0f5f272b7080979400fba3f54fc7b7f6981e06","last_reissued_at":"2026-05-18T02:51:08.716278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:08.716278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.2011","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":"2026-05-18T02:51:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pe4LRzA/p+Dzx0kKtNugdIFS5K9muq+GZ43mHShNUAKw//OvuvrvgJ52via829jOonwIQSNhuid2l1eJ0RXfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:36:02.199635Z"},"content_sha256":"3d365e887fe47a428956130e4025cec647e2d43417e5b4caa4d0b85f666ddf49","schema_version":"1.0","event_id":"sha256:3d365e887fe47a428956130e4025cec647e2d43417e5b4caa4d0b85f666ddf49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:32MOGIDKDYEPNWKXTXV62D27E4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Upper bounds for the dimension of moduli spaces of curves with symmetric Weierstrass semigroups","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Andr\\'e Contiero, Karl-Otto St\\\"ohr","submitted_at":"2012-11-08T22:59:43Z","abstract_excerpt":"We present an explicit method to produce upper bounds for the dimension of the moduli spaces of complete integral Gorenstein curves with prescribed symmetric Weierstrass semigroups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2011","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":"2026-05-18T02:51:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MY+OQ4nmBTwHEFknNwvDEfVxm4LKM3wGkWO+7IVdoCNyODPROiopt3BZBV9Gu2+yqMys4hv0EYXk6UNCz+x2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:36:02.199983Z"},"content_sha256":"b7ccd1f15d74671ad69b242f1ce43c746d9014ed725a49d3335bfd387a16c9b9","schema_version":"1.0","event_id":"sha256:b7ccd1f15d74671ad69b242f1ce43c746d9014ed725a49d3335bfd387a16c9b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/32MOGIDKDYEPNWKXTXV62D27E4/bundle.json","state_url":"https://pith.science/pith/32MOGIDKDYEPNWKXTXV62D27E4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/32MOGIDKDYEPNWKXTXV62D27E4/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":"2026-06-03T02:36:02Z","links":{"resolver":"https://pith.science/pith/32MOGIDKDYEPNWKXTXV62D27E4","bundle":"https://pith.science/pith/32MOGIDKDYEPNWKXTXV62D27E4/bundle.json","state":"https://pith.science/pith/32MOGIDKDYEPNWKXTXV62D27E4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/32MOGIDKDYEPNWKXTXV62D27E4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:32MOGIDKDYEPNWKXTXV62D27E4","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":"d4290b77f651b04a0915a7e2bf62fdf5c4c3b480515498ee10673a60152e312c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.AG","submitted_at":"2012-11-08T22:59:43Z","title_canon_sha256":"61bea06a2814a5e7749b7a55a7d14806ade61c08e25b3f193ff48eb316d52f04"},"schema_version":"1.0","source":{"id":"1211.2011","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2011","created_at":"2026-05-18T02:51:08Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2011v1","created_at":"2026-05-18T02:51:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2011","created_at":"2026-05-18T02:51:08Z"},{"alias_kind":"pith_short_12","alias_value":"32MOGIDKDYEP","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"32MOGIDKDYEPNWKX","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"32MOGIDK","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:b7ccd1f15d74671ad69b242f1ce43c746d9014ed725a49d3335bfd387a16c9b9","target":"graph","created_at":"2026-05-18T02:51:08Z","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 present an explicit method to produce upper bounds for the dimension of the moduli spaces of complete integral Gorenstein curves with prescribed symmetric Weierstrass semigroups.","authors_text":"Andr\\'e Contiero, Karl-Otto St\\\"ohr","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.AG","submitted_at":"2012-11-08T22:59:43Z","title":"Upper bounds for the dimension of moduli spaces of curves with symmetric Weierstrass semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2011","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":"sha256:3d365e887fe47a428956130e4025cec647e2d43417e5b4caa4d0b85f666ddf49","target":"record","created_at":"2026-05-18T02:51:08Z","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":"d4290b77f651b04a0915a7e2bf62fdf5c4c3b480515498ee10673a60152e312c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.AG","submitted_at":"2012-11-08T22:59:43Z","title_canon_sha256":"61bea06a2814a5e7749b7a55a7d14806ade61c08e25b3f193ff48eb316d52f04"},"schema_version":"1.0","source":{"id":"1211.2011","kind":"arxiv","version":1}},"canonical_sha256":"de98e3206a1e08f6d9579debed0f5f272b7080979400fba3f54fc7b7f6981e06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de98e3206a1e08f6d9579debed0f5f272b7080979400fba3f54fc7b7f6981e06","first_computed_at":"2026-05-18T02:51:08.716278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:08.716278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N9/z1S6Ua4XqRSfvHbCkjgCEu+iHoOZWuBcPNZd1CV4P6Gculb+xQbQIDtHmK4/Ftar1JyU0Hy7LcJrGOanUDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:08.716706Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.2011","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d365e887fe47a428956130e4025cec647e2d43417e5b4caa4d0b85f666ddf49","sha256:b7ccd1f15d74671ad69b242f1ce43c746d9014ed725a49d3335bfd387a16c9b9"],"state_sha256":"5b20f499ec05033d25dde657e7273bf6ff016a6b58831eb0616bf78a2600a15b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nAx1tObrN6WtuDXV35FJo6HuH9SrlZSfcJ5ydm4J4JSS+1RMp6RFgiixbGM3PUoOMKlFIW3BHVTbC+dMoj8bAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T02:36:02.201828Z","bundle_sha256":"83575c9a7e9f040e07268dd183fa3613d99139278d37ddd0c409f49d6f908704"}}