{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:3EBGMWLWB7ZL5UL5ZA3O6PDF7A","short_pith_number":"pith:3EBGMWLW","canonical_record":{"source":{"id":"1208.3239","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-15T22:25:52Z","cross_cats_sorted":[],"title_canon_sha256":"5dcd2a1c582965c2f8c424b30f4cb7bfd9003ebba65ca4bf09953b33f1e4593b","abstract_canon_sha256":"fac4e001ca987290564e8f184ffd45d823c7c41140965670fc78a946e8028cbc"},"schema_version":"1.0"},"canonical_sha256":"d9026659760ff2bed17dc836ef3c65f821eff346523fb6de1ae3eefa485620cb","source":{"kind":"arxiv","id":"1208.3239","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3239","created_at":"2026-05-18T02:45:48Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3239v1","created_at":"2026-05-18T02:45:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3239","created_at":"2026-05-18T02:45:48Z"},{"alias_kind":"pith_short_12","alias_value":"3EBGMWLWB7ZL","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3EBGMWLWB7ZL5UL5","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3EBGMWLW","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:3EBGMWLWB7ZL5UL5ZA3O6PDF7A","target":"record","payload":{"canonical_record":{"source":{"id":"1208.3239","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-15T22:25:52Z","cross_cats_sorted":[],"title_canon_sha256":"5dcd2a1c582965c2f8c424b30f4cb7bfd9003ebba65ca4bf09953b33f1e4593b","abstract_canon_sha256":"fac4e001ca987290564e8f184ffd45d823c7c41140965670fc78a946e8028cbc"},"schema_version":"1.0"},"canonical_sha256":"d9026659760ff2bed17dc836ef3c65f821eff346523fb6de1ae3eefa485620cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:48.803704Z","signature_b64":"33r7ACXaoC60CLR7dj3Vuddujt1v+9egAAee5STOvFPoOT3ckZ4WS/Rkj7QzDEXPc2yOxJeQ/M2ZjHI4QQo9Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9026659760ff2bed17dc836ef3c65f821eff346523fb6de1ae3eefa485620cb","last_reissued_at":"2026-05-18T02:45:48.803183Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:48.803183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.3239","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":"2026-05-18T02:45:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OYCPWmHZVRSrl7sHcpzfMQixjMlz9jhq1+8Tu9s8HG18SOG8JntxEHwKySvO/058TKvYsPDSsdwOY1caNssEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-21T11:11:11.810656Z"},"content_sha256":"a03263bdb62e50476c082f5282115c5cac1735d705b7cecedbc4eafdc11b34e4","schema_version":"1.0","event_id":"sha256:a03263bdb62e50476c082f5282115c5cac1735d705b7cecedbc4eafdc11b34e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:3EBGMWLWB7ZL5UL5ZA3O6PDF7A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"There is no degree map for 0-cycles on Artin stacks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Anton Geraschenko, Dan Edidin, Matthew Satriano","submitted_at":"2012-08-15T22:25:52Z","abstract_excerpt":"We show that there is no way to define degrees of 0-cycles on Artin stacks with proper good moduli spaces so that (i) the degree of an ordinary point is non-zero, and (ii) degrees are compatible with closed immersions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3239","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":"2026-05-18T02:45:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u32Ku3cbS7oYNkmZisMX2vfQZ/etwkBDRgi+V8ogtz7NW3VcrC90pOH8PpBfs5QCoQzhixFHxcQqNsiqskn5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-21T11:11:11.810995Z"},"content_sha256":"37a9a68b889f1bcd4d8832128d6074331ee77c3c87c9fbbf244475e20ef3a0e4","schema_version":"1.0","event_id":"sha256:37a9a68b889f1bcd4d8832128d6074331ee77c3c87c9fbbf244475e20ef3a0e4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3EBGMWLWB7ZL5UL5ZA3O6PDF7A/bundle.json","state_url":"https://pith.science/pith/3EBGMWLWB7ZL5UL5ZA3O6PDF7A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3EBGMWLWB7ZL5UL5ZA3O6PDF7A/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":"2026-07-21T11:11:11Z","links":{"resolver":"https://pith.science/pith/3EBGMWLWB7ZL5UL5ZA3O6PDF7A","bundle":"https://pith.science/pith/3EBGMWLWB7ZL5UL5ZA3O6PDF7A/bundle.json","state":"https://pith.science/pith/3EBGMWLWB7ZL5UL5ZA3O6PDF7A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3EBGMWLWB7ZL5UL5ZA3O6PDF7A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3EBGMWLWB7ZL5UL5ZA3O6PDF7A","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":"fac4e001ca987290564e8f184ffd45d823c7c41140965670fc78a946e8028cbc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-15T22:25:52Z","title_canon_sha256":"5dcd2a1c582965c2f8c424b30f4cb7bfd9003ebba65ca4bf09953b33f1e4593b"},"schema_version":"1.0","source":{"id":"1208.3239","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3239","created_at":"2026-05-18T02:45:48Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3239v1","created_at":"2026-05-18T02:45:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3239","created_at":"2026-05-18T02:45:48Z"},{"alias_kind":"pith_short_12","alias_value":"3EBGMWLWB7ZL","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3EBGMWLWB7ZL5UL5","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3EBGMWLW","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:37a9a68b889f1bcd4d8832128d6074331ee77c3c87c9fbbf244475e20ef3a0e4","target":"graph","created_at":"2026-05-18T02:45:48Z","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 show that there is no way to define degrees of 0-cycles on Artin stacks with proper good moduli spaces so that (i) the degree of an ordinary point is non-zero, and (ii) degrees are compatible with closed immersions.","authors_text":"Anton Geraschenko, Dan Edidin, Matthew Satriano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-15T22:25:52Z","title":"There is no degree map for 0-cycles on Artin stacks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3239","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:a03263bdb62e50476c082f5282115c5cac1735d705b7cecedbc4eafdc11b34e4","target":"record","created_at":"2026-05-18T02:45:48Z","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":"fac4e001ca987290564e8f184ffd45d823c7c41140965670fc78a946e8028cbc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-15T22:25:52Z","title_canon_sha256":"5dcd2a1c582965c2f8c424b30f4cb7bfd9003ebba65ca4bf09953b33f1e4593b"},"schema_version":"1.0","source":{"id":"1208.3239","kind":"arxiv","version":1}},"canonical_sha256":"d9026659760ff2bed17dc836ef3c65f821eff346523fb6de1ae3eefa485620cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9026659760ff2bed17dc836ef3c65f821eff346523fb6de1ae3eefa485620cb","first_computed_at":"2026-05-18T02:45:48.803183Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:48.803183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"33r7ACXaoC60CLR7dj3Vuddujt1v+9egAAee5STOvFPoOT3ckZ4WS/Rkj7QzDEXPc2yOxJeQ/M2ZjHI4QQo9Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:48.803704Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3239","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a03263bdb62e50476c082f5282115c5cac1735d705b7cecedbc4eafdc11b34e4","sha256:37a9a68b889f1bcd4d8832128d6074331ee77c3c87c9fbbf244475e20ef3a0e4"],"state_sha256":"4f501eb81af7ca17f6d7f3c81dff67cead4262a1dca4857e93d5cc03dfa80c13"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SSzAEz+bMjknFDkcd32uXryRrBv1LxkZG6l/twt5KbD5Hq7cXq7udyMPkttudZ8BUS7d1iZT5bSe5a39sBe0Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-21T11:11:11.813425Z","bundle_sha256":"cc50270952a069b59f683f64c07dc28cda33f353b11e88e81f69e11b655c8354"}}