{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:7AIDLV4W23MBVRSNZV5JOTSUTX","short_pith_number":"pith:7AIDLV4W","canonical_record":{"source":{"id":"1004.1884","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-04-12T07:30:05Z","cross_cats_sorted":[],"title_canon_sha256":"228269207bd2ec3ce698901c8fb81ac6d0726a7f2e067df797cf990a3a320a7c","abstract_canon_sha256":"8000aa1ce895ef45594e1000754787413e3d46e1bcb14f8a6dd45d3f8a3105c4"},"schema_version":"1.0"},"canonical_sha256":"f81035d796d6d81ac64dcd7a974e549dd54e61f003f00dbd10e03816c0a02053","source":{"kind":"arxiv","id":"1004.1884","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1884","created_at":"2026-05-18T01:22:29Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1884v1","created_at":"2026-05-18T01:22:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1884","created_at":"2026-05-18T01:22:29Z"},{"alias_kind":"pith_short_12","alias_value":"7AIDLV4W23MB","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"7AIDLV4W23MBVRSN","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"7AIDLV4W","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:7AIDLV4W23MBVRSNZV5JOTSUTX","target":"record","payload":{"canonical_record":{"source":{"id":"1004.1884","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-04-12T07:30:05Z","cross_cats_sorted":[],"title_canon_sha256":"228269207bd2ec3ce698901c8fb81ac6d0726a7f2e067df797cf990a3a320a7c","abstract_canon_sha256":"8000aa1ce895ef45594e1000754787413e3d46e1bcb14f8a6dd45d3f8a3105c4"},"schema_version":"1.0"},"canonical_sha256":"f81035d796d6d81ac64dcd7a974e549dd54e61f003f00dbd10e03816c0a02053","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:29.347450Z","signature_b64":"AqNGCK/UPxPTTuTbr9J0c1ljGIbW47EVTd4WbVUt3MnZ8fPafe3L6/350ZzvRHE4XSAcXi/VlKYoXyabyc2qCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f81035d796d6d81ac64dcd7a974e549dd54e61f003f00dbd10e03816c0a02053","last_reissued_at":"2026-05-18T01:22:29.346821Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:29.346821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.1884","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":"2026-05-18T01:22:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L94NX99PGfZKTpKH52IHS0JiLpbb5EEdDvJYWQJVK2cUI9cTgrbJ98d8AQ111fkG1RL+g13tVbSmfK3ASrybBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T15:38:58.293649Z"},"content_sha256":"7382af8bc5b1f6b42e75e1418c45444897f30528294ef0016b3d8543a0925c65","schema_version":"1.0","event_id":"sha256:7382af8bc5b1f6b42e75e1418c45444897f30528294ef0016b3d8543a0925c65"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:7AIDLV4W23MBVRSNZV5JOTSUTX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The derived moduli space of stable sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"I. Ciocan-Fontanine, J. Hwang, K. Behrend, M. Rose","submitted_at":"2010-04-12T07:30:05Z","abstract_excerpt":"We construct the derived scheme of stable sheaves on a smooth projective variety via derived moduli of finite graded modules over a graded ring.  We do this by dividing the derived scheme of actions of Ciocan-Fontanine and Kapranov by a suitable algebraic gauge group.  We show that the natural notion of GIT-stability for graded modules reproduces stability for sheaves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1884","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":"2026-05-18T01:22:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4pNplduNvPcpaIyK6Bdx9tyVmXlM5v8ln+uETHY+zFdM2XjNSP69u0mQpmurVEVSMP/tqoLsJ48D472MYK9KCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T15:38:58.294375Z"},"content_sha256":"eeeec1bcd8e6ec1071d0dd660721f2b0083e886ca798c069b52250243695f7df","schema_version":"1.0","event_id":"sha256:eeeec1bcd8e6ec1071d0dd660721f2b0083e886ca798c069b52250243695f7df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7AIDLV4W23MBVRSNZV5JOTSUTX/bundle.json","state_url":"https://pith.science/pith/7AIDLV4W23MBVRSNZV5JOTSUTX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7AIDLV4W23MBVRSNZV5JOTSUTX/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":"2026-06-07T15:38:58Z","links":{"resolver":"https://pith.science/pith/7AIDLV4W23MBVRSNZV5JOTSUTX","bundle":"https://pith.science/pith/7AIDLV4W23MBVRSNZV5JOTSUTX/bundle.json","state":"https://pith.science/pith/7AIDLV4W23MBVRSNZV5JOTSUTX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7AIDLV4W23MBVRSNZV5JOTSUTX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:7AIDLV4W23MBVRSNZV5JOTSUTX","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":"8000aa1ce895ef45594e1000754787413e3d46e1bcb14f8a6dd45d3f8a3105c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-04-12T07:30:05Z","title_canon_sha256":"228269207bd2ec3ce698901c8fb81ac6d0726a7f2e067df797cf990a3a320a7c"},"schema_version":"1.0","source":{"id":"1004.1884","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1884","created_at":"2026-05-18T01:22:29Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1884v1","created_at":"2026-05-18T01:22:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1884","created_at":"2026-05-18T01:22:29Z"},{"alias_kind":"pith_short_12","alias_value":"7AIDLV4W23MB","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"7AIDLV4W23MBVRSN","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"7AIDLV4W","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:eeeec1bcd8e6ec1071d0dd660721f2b0083e886ca798c069b52250243695f7df","target":"graph","created_at":"2026-05-18T01:22:29Z","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 construct the derived scheme of stable sheaves on a smooth projective variety via derived moduli of finite graded modules over a graded ring.  We do this by dividing the derived scheme of actions of Ciocan-Fontanine and Kapranov by a suitable algebraic gauge group.  We show that the natural notion of GIT-stability for graded modules reproduces stability for sheaves.","authors_text":"I. Ciocan-Fontanine, J. Hwang, K. Behrend, M. Rose","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-04-12T07:30:05Z","title":"The derived moduli space of stable sheaves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1884","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":"sha256:7382af8bc5b1f6b42e75e1418c45444897f30528294ef0016b3d8543a0925c65","target":"record","created_at":"2026-05-18T01:22:29Z","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":"8000aa1ce895ef45594e1000754787413e3d46e1bcb14f8a6dd45d3f8a3105c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-04-12T07:30:05Z","title_canon_sha256":"228269207bd2ec3ce698901c8fb81ac6d0726a7f2e067df797cf990a3a320a7c"},"schema_version":"1.0","source":{"id":"1004.1884","kind":"arxiv","version":1}},"canonical_sha256":"f81035d796d6d81ac64dcd7a974e549dd54e61f003f00dbd10e03816c0a02053","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f81035d796d6d81ac64dcd7a974e549dd54e61f003f00dbd10e03816c0a02053","first_computed_at":"2026-05-18T01:22:29.346821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:29.346821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AqNGCK/UPxPTTuTbr9J0c1ljGIbW47EVTd4WbVUt3MnZ8fPafe3L6/350ZzvRHE4XSAcXi/VlKYoXyabyc2qCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:29.347450Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.1884","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7382af8bc5b1f6b42e75e1418c45444897f30528294ef0016b3d8543a0925c65","sha256:eeeec1bcd8e6ec1071d0dd660721f2b0083e886ca798c069b52250243695f7df"],"state_sha256":"5ad9b60f2d8ee5ce85bbab2ae0dedb6e769ee6fcdbe9b0cce3fd325fb83d2272"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LnhaD1hLlpE+qy5hEMMt7V+UedMrPPNJfBNNGjRR/KM7+eltfvpNniON71SqjMsPN7aEB7LYI+5WHSNxZAxzBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T15:38:58.299163Z","bundle_sha256":"6d01fb920d83711c75a65a9d8460474abfccbe98c15534039db8a6f556f39426"}}