{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:DCDEDVLIJGMDTKZILH5FYJCIBI","short_pith_number":"pith:DCDEDVLI","canonical_record":{"source":{"id":"1401.7417","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-29T05:53:47Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"6bca9272e1b9a995cf059fbc599037654680c1862de47dc949a72ac23900940f","abstract_canon_sha256":"517cd91ef8d4315ef943f86abe99dedb7015af2423843444ff79819494decf57"},"schema_version":"1.0"},"canonical_sha256":"188641d568499839ab2859fa5c24480a3560788abc3534a8b65347e3ad1c670e","source":{"kind":"arxiv","id":"1401.7417","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7417","created_at":"2026-05-18T01:16:33Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7417v4","created_at":"2026-05-18T01:16:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7417","created_at":"2026-05-18T01:16:33Z"},{"alias_kind":"pith_short_12","alias_value":"DCDEDVLIJGMD","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DCDEDVLIJGMDTKZI","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DCDEDVLI","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:DCDEDVLIJGMDTKZILH5FYJCIBI","target":"record","payload":{"canonical_record":{"source":{"id":"1401.7417","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-29T05:53:47Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"6bca9272e1b9a995cf059fbc599037654680c1862de47dc949a72ac23900940f","abstract_canon_sha256":"517cd91ef8d4315ef943f86abe99dedb7015af2423843444ff79819494decf57"},"schema_version":"1.0"},"canonical_sha256":"188641d568499839ab2859fa5c24480a3560788abc3534a8b65347e3ad1c670e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:33.614358Z","signature_b64":"BrLwNKWwYONdnRk7q9sMJDwz6z/AKbR1NxWWYUzd2djwB78gCQoEfzC7Fy8ImUCqOD7vzy3ytKbTWVyMJzfiCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"188641d568499839ab2859fa5c24480a3560788abc3534a8b65347e3ad1c670e","last_reissued_at":"2026-05-18T01:16:33.613671Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:33.613671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.7417","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:16:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oLWBuZTUTvPItw0hGXcvfBH3DlZ7K7p4L+TFcNa9/fXuYehs6wRTAgMXS3+b1O6/tDZi3zxPKzvnU8+oMl19Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:17:42.665392Z"},"content_sha256":"09ce924497bf6857f8551ba789702563a2d6a80c5b3ee63eeb71f0ae6e4141a4","schema_version":"1.0","event_id":"sha256:09ce924497bf6857f8551ba789702563a2d6a80c5b3ee63eeb71f0ae6e4141a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:DCDEDVLIJGMDTKZILH5FYJCIBI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Big I-functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Bumsig Kim, Ionut Ciocan-Fontanine","submitted_at":"2014-01-29T05:53:47Z","abstract_excerpt":"We introduce a new big I-function for certain GIT quotients W//G using the quasimap graph space from infinitesimally pointed $\\mathbb{P}^1$ to the stack quotient [W/G]. This big I-function is expressible by the small I-function introduced in arXiv:0908.4446 [math.AG] and arXiv:1106.3724 [math.AG]. The I-function conjecturally generates the Lagrangian cone of Gromov-Witten theory for W//G defined by Givental. We prove the conjecture when W//G has a torus action with good properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7417","kind":"arxiv","version":4},"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":"2026-05-18T01:16:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R5V7CVN/AYtbpBzdPX6SC8tOQnKcov9T4g0sSLTr96WtWZGqJX2O6+rENKwrtO01qbLXVfC5S/eDqokutNQ1BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:17:42.666051Z"},"content_sha256":"05d48365a2b1f5b8fc98b2e0d7cfd7bae39d92771838878ac53a37a93a688944","schema_version":"1.0","event_id":"sha256:05d48365a2b1f5b8fc98b2e0d7cfd7bae39d92771838878ac53a37a93a688944"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DCDEDVLIJGMDTKZILH5FYJCIBI/bundle.json","state_url":"https://pith.science/pith/DCDEDVLIJGMDTKZILH5FYJCIBI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DCDEDVLIJGMDTKZILH5FYJCIBI/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":"2026-05-25T18:17:42Z","links":{"resolver":"https://pith.science/pith/DCDEDVLIJGMDTKZILH5FYJCIBI","bundle":"https://pith.science/pith/DCDEDVLIJGMDTKZILH5FYJCIBI/bundle.json","state":"https://pith.science/pith/DCDEDVLIJGMDTKZILH5FYJCIBI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DCDEDVLIJGMDTKZILH5FYJCIBI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DCDEDVLIJGMDTKZILH5FYJCIBI","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":"517cd91ef8d4315ef943f86abe99dedb7015af2423843444ff79819494decf57","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-29T05:53:47Z","title_canon_sha256":"6bca9272e1b9a995cf059fbc599037654680c1862de47dc949a72ac23900940f"},"schema_version":"1.0","source":{"id":"1401.7417","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7417","created_at":"2026-05-18T01:16:33Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7417v4","created_at":"2026-05-18T01:16:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7417","created_at":"2026-05-18T01:16:33Z"},{"alias_kind":"pith_short_12","alias_value":"DCDEDVLIJGMD","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DCDEDVLIJGMDTKZI","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DCDEDVLI","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:05d48365a2b1f5b8fc98b2e0d7cfd7bae39d92771838878ac53a37a93a688944","target":"graph","created_at":"2026-05-18T01:16:33Z","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 introduce a new big I-function for certain GIT quotients W//G using the quasimap graph space from infinitesimally pointed $\\mathbb{P}^1$ to the stack quotient [W/G]. This big I-function is expressible by the small I-function introduced in arXiv:0908.4446 [math.AG] and arXiv:1106.3724 [math.AG]. The I-function conjecturally generates the Lagrangian cone of Gromov-Witten theory for W//G defined by Givental. We prove the conjecture when W//G has a torus action with good properties.","authors_text":"Bumsig Kim, Ionut Ciocan-Fontanine","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-29T05:53:47Z","title":"Big I-functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7417","kind":"arxiv","version":4},"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":"sha256:09ce924497bf6857f8551ba789702563a2d6a80c5b3ee63eeb71f0ae6e4141a4","target":"record","created_at":"2026-05-18T01:16:33Z","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":"517cd91ef8d4315ef943f86abe99dedb7015af2423843444ff79819494decf57","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-29T05:53:47Z","title_canon_sha256":"6bca9272e1b9a995cf059fbc599037654680c1862de47dc949a72ac23900940f"},"schema_version":"1.0","source":{"id":"1401.7417","kind":"arxiv","version":4}},"canonical_sha256":"188641d568499839ab2859fa5c24480a3560788abc3534a8b65347e3ad1c670e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"188641d568499839ab2859fa5c24480a3560788abc3534a8b65347e3ad1c670e","first_computed_at":"2026-05-18T01:16:33.613671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:33.613671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BrLwNKWwYONdnRk7q9sMJDwz6z/AKbR1NxWWYUzd2djwB78gCQoEfzC7Fy8ImUCqOD7vzy3ytKbTWVyMJzfiCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:33.614358Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.7417","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09ce924497bf6857f8551ba789702563a2d6a80c5b3ee63eeb71f0ae6e4141a4","sha256:05d48365a2b1f5b8fc98b2e0d7cfd7bae39d92771838878ac53a37a93a688944"],"state_sha256":"dd06118f52ec063aa6b34bd54ec73a9cb72cb8bffb74344111d19ceab4e63984"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6/9mLLxtFB/1i0h9A/4BnbdHjymUohcZO/EGmLT2anvQukj5mbQG8UAEVtA6sSJ7pNTTV2wM4LsiT7YVLsnsCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:17:42.669814Z","bundle_sha256":"b6221f0abd650397dfa804bb0efbf4b46f47fd2ad1b7dcdd8416f752faad4c67"}}