{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WCZY5DF4QOBD4AFRUKU223UCUF","short_pith_number":"pith:WCZY5DF4","canonical_record":{"source":{"id":"1607.00735","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-04T03:56:53Z","cross_cats_sorted":[],"title_canon_sha256":"bdd445fd48e4993ca95ab489321d3401e587237425b00ab1620a1935e512f324","abstract_canon_sha256":"8076a474d0e17be0241b7c20c8320f70c76ce0c02195a42ec5416bb4d4bb5580"},"schema_version":"1.0"},"canonical_sha256":"b0b38e8cbc83823e00b1a2a9ad6e82a14972417a3d2c3521a77429c528ba162b","source":{"kind":"arxiv","id":"1607.00735","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.00735","created_at":"2026-05-18T01:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"1607.00735v2","created_at":"2026-05-18T01:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.00735","created_at":"2026-05-18T01:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"WCZY5DF4QOBD","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WCZY5DF4QOBD4AFR","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WCZY5DF4","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WCZY5DF4QOBD4AFRUKU223UCUF","target":"record","payload":{"canonical_record":{"source":{"id":"1607.00735","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-04T03:56:53Z","cross_cats_sorted":[],"title_canon_sha256":"bdd445fd48e4993ca95ab489321d3401e587237425b00ab1620a1935e512f324","abstract_canon_sha256":"8076a474d0e17be0241b7c20c8320f70c76ce0c02195a42ec5416bb4d4bb5580"},"schema_version":"1.0"},"canonical_sha256":"b0b38e8cbc83823e00b1a2a9ad6e82a14972417a3d2c3521a77429c528ba162b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:58.803908Z","signature_b64":"Vrsz2UtQ52vxV3vBM/sNZ2XFkO8OGfMOKwqaRmdP4JKFzrPaSYcpKCbcctCVLkGyuUSVLCDDYDBCRPn/rwZeCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0b38e8cbc83823e00b1a2a9ad6e82a14972417a3d2c3521a77429c528ba162b","last_reissued_at":"2026-05-18T01:10:58.803455Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:58.803455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.00735","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":"2026-05-18T01:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8H23LK+EkGxFW596NfFvvPKDOdxVLdxRDcICl39//oYNkItV1Gm4+fE9B2OSbA9o/pwe8o7bUwKPi+ULyeR1AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:07:48.481214Z"},"content_sha256":"d972308dd164b9843dd11118f78744d7ab9cbe31668cc614983c99e65bf1f28d","schema_version":"1.0","event_id":"sha256:d972308dd164b9843dd11118f78744d7ab9cbe31668cc614983c99e65bf1f28d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WCZY5DF4QOBD4AFRUKU223UCUF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global nilpotent cone is isotropic : parahoric torsors on curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Rohith Varma","submitted_at":"2016-07-04T03:56:53Z","abstract_excerpt":"In this article, we investigate an analogue of the global nilpotent cone in the case of the cotangent stack of the moduli stack of parahoric torsors on curves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00735","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":"2026-05-18T01:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vnSF0OvcTfMywovC4MC/E1vzXXO3Z8oZMx3o8xx8feGXTHh1kwZGiiYbNC+KT9bzOiAinaZNoa+WS2FU/40VCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:07:48.481866Z"},"content_sha256":"a1b1eccf8743a1eb71e19020dac37d3edcbc1e862c340d86c95c8fc187a9ad46","schema_version":"1.0","event_id":"sha256:a1b1eccf8743a1eb71e19020dac37d3edcbc1e862c340d86c95c8fc187a9ad46"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WCZY5DF4QOBD4AFRUKU223UCUF/bundle.json","state_url":"https://pith.science/pith/WCZY5DF4QOBD4AFRUKU223UCUF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WCZY5DF4QOBD4AFRUKU223UCUF/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":"2026-06-05T20:07:48Z","links":{"resolver":"https://pith.science/pith/WCZY5DF4QOBD4AFRUKU223UCUF","bundle":"https://pith.science/pith/WCZY5DF4QOBD4AFRUKU223UCUF/bundle.json","state":"https://pith.science/pith/WCZY5DF4QOBD4AFRUKU223UCUF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WCZY5DF4QOBD4AFRUKU223UCUF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WCZY5DF4QOBD4AFRUKU223UCUF","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":"8076a474d0e17be0241b7c20c8320f70c76ce0c02195a42ec5416bb4d4bb5580","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-04T03:56:53Z","title_canon_sha256":"bdd445fd48e4993ca95ab489321d3401e587237425b00ab1620a1935e512f324"},"schema_version":"1.0","source":{"id":"1607.00735","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.00735","created_at":"2026-05-18T01:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"1607.00735v2","created_at":"2026-05-18T01:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.00735","created_at":"2026-05-18T01:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"WCZY5DF4QOBD","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WCZY5DF4QOBD4AFR","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WCZY5DF4","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:a1b1eccf8743a1eb71e19020dac37d3edcbc1e862c340d86c95c8fc187a9ad46","target":"graph","created_at":"2026-05-18T01:10:58Z","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":"In this article, we investigate an analogue of the global nilpotent cone in the case of the cotangent stack of the moduli stack of parahoric torsors on curves.","authors_text":"Rohith Varma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-04T03:56:53Z","title":"Global nilpotent cone is isotropic : parahoric torsors on curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00735","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:d972308dd164b9843dd11118f78744d7ab9cbe31668cc614983c99e65bf1f28d","target":"record","created_at":"2026-05-18T01:10:58Z","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":"8076a474d0e17be0241b7c20c8320f70c76ce0c02195a42ec5416bb4d4bb5580","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-04T03:56:53Z","title_canon_sha256":"bdd445fd48e4993ca95ab489321d3401e587237425b00ab1620a1935e512f324"},"schema_version":"1.0","source":{"id":"1607.00735","kind":"arxiv","version":2}},"canonical_sha256":"b0b38e8cbc83823e00b1a2a9ad6e82a14972417a3d2c3521a77429c528ba162b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0b38e8cbc83823e00b1a2a9ad6e82a14972417a3d2c3521a77429c528ba162b","first_computed_at":"2026-05-18T01:10:58.803455Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:58.803455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vrsz2UtQ52vxV3vBM/sNZ2XFkO8OGfMOKwqaRmdP4JKFzrPaSYcpKCbcctCVLkGyuUSVLCDDYDBCRPn/rwZeCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:58.803908Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.00735","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d972308dd164b9843dd11118f78744d7ab9cbe31668cc614983c99e65bf1f28d","sha256:a1b1eccf8743a1eb71e19020dac37d3edcbc1e862c340d86c95c8fc187a9ad46"],"state_sha256":"838a0e7b435a2233a03d710e2229acbb55908150926d5726cad7bac3a5495571"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gyZCRUw9/PwEjCJdFZtHSNAMKRwRPB13h2eJiV2W5U7WuR/JsmYemHPXv6ntQRwpMqUtkVbxtGCS6VYXJn5UAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:07:48.485417Z","bundle_sha256":"df90d2bfa0b89ae114339a3eaa8f5976003458fd64de6df2eb6853e009cbac61"}}