{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:MTZXRXH4V2IP6VWRKPJP7AHGRW","short_pith_number":"pith:MTZXRXH4","canonical_record":{"source":{"id":"1603.07865","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-25T10:09:22Z","cross_cats_sorted":[],"title_canon_sha256":"105c46dae7b02dd6bb78d52448a9fd0f59c0e72b7ebcdf399a1e7f64ac41f85b","abstract_canon_sha256":"eb4c22808beeb4ab0111d42c1d4be24f1213fa17a916a4d534cb47894e697186"},"schema_version":"1.0"},"canonical_sha256":"64f378dcfcae90ff56d153d2ff80e68dbd638591be6fde00e2affda0ef059c29","source":{"kind":"arxiv","id":"1603.07865","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07865","created_at":"2026-05-18T01:11:08Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07865v3","created_at":"2026-05-18T01:11:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07865","created_at":"2026-05-18T01:11:08Z"},{"alias_kind":"pith_short_12","alias_value":"MTZXRXH4V2IP","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MTZXRXH4V2IP6VWR","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MTZXRXH4","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:MTZXRXH4V2IP6VWRKPJP7AHGRW","target":"record","payload":{"canonical_record":{"source":{"id":"1603.07865","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-25T10:09:22Z","cross_cats_sorted":[],"title_canon_sha256":"105c46dae7b02dd6bb78d52448a9fd0f59c0e72b7ebcdf399a1e7f64ac41f85b","abstract_canon_sha256":"eb4c22808beeb4ab0111d42c1d4be24f1213fa17a916a4d534cb47894e697186"},"schema_version":"1.0"},"canonical_sha256":"64f378dcfcae90ff56d153d2ff80e68dbd638591be6fde00e2affda0ef059c29","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:08.111521Z","signature_b64":"WrbgZy/TGRYfxwA7alP8uyKTDJYVnIMtAiw6aiMg4z5UuWqioTqiW1Up+A0Q1EFfbkUcHpAYul6iNB2z7DMGCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64f378dcfcae90ff56d153d2ff80e68dbd638591be6fde00e2affda0ef059c29","last_reissued_at":"2026-05-18T01:11:08.110937Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:08.110937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.07865","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"swNu3mArZckU/re8CFSUUF4h+aIH0mrf7MnyH3q0Gq/vN/g0Q4Bk71Yrv1pBtRejZma7raclUZu+PN008fX9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T02:49:09.331655Z"},"content_sha256":"f888ed7a4a653d677d9ce0e841b5a40809523455112b34eff368f6932370937c","schema_version":"1.0","event_id":"sha256:f888ed7a4a653d677d9ce0e841b5a40809523455112b34eff368f6932370937c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:MTZXRXH4V2IP6VWRKPJP7AHGRW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Notes on the characteristic cycle of a constructible sheaf","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Takeshi Saito","submitted_at":"2016-03-25T10:09:22Z","abstract_excerpt":"We study some properties of the characteristic cycle of a constructible complex on a smooth variety over a perfect field, push-forward and product."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07865","kind":"arxiv","version":3},"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":"2026-05-18T01:11:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5k4taMBh8sPcCEAswpgy6bTvrTdzZdpUs4xDei9DUpAQqMJy8tLCKXMcDDtIpiJBE0nIzkEdCkEwjIR8mHk0CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T02:49:09.331997Z"},"content_sha256":"b5232932defa35a39d16f76fc122cb980c441778180a90c22929cdf2eb19a65e","schema_version":"1.0","event_id":"sha256:b5232932defa35a39d16f76fc122cb980c441778180a90c22929cdf2eb19a65e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MTZXRXH4V2IP6VWRKPJP7AHGRW/bundle.json","state_url":"https://pith.science/pith/MTZXRXH4V2IP6VWRKPJP7AHGRW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MTZXRXH4V2IP6VWRKPJP7AHGRW/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":"2026-06-06T02:49:09Z","links":{"resolver":"https://pith.science/pith/MTZXRXH4V2IP6VWRKPJP7AHGRW","bundle":"https://pith.science/pith/MTZXRXH4V2IP6VWRKPJP7AHGRW/bundle.json","state":"https://pith.science/pith/MTZXRXH4V2IP6VWRKPJP7AHGRW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MTZXRXH4V2IP6VWRKPJP7AHGRW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MTZXRXH4V2IP6VWRKPJP7AHGRW","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":"eb4c22808beeb4ab0111d42c1d4be24f1213fa17a916a4d534cb47894e697186","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-25T10:09:22Z","title_canon_sha256":"105c46dae7b02dd6bb78d52448a9fd0f59c0e72b7ebcdf399a1e7f64ac41f85b"},"schema_version":"1.0","source":{"id":"1603.07865","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07865","created_at":"2026-05-18T01:11:08Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07865v3","created_at":"2026-05-18T01:11:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07865","created_at":"2026-05-18T01:11:08Z"},{"alias_kind":"pith_short_12","alias_value":"MTZXRXH4V2IP","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MTZXRXH4V2IP6VWR","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MTZXRXH4","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:b5232932defa35a39d16f76fc122cb980c441778180a90c22929cdf2eb19a65e","target":"graph","created_at":"2026-05-18T01:11:08Z","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 study some properties of the characteristic cycle of a constructible complex on a smooth variety over a perfect field, push-forward and product.","authors_text":"Takeshi Saito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-25T10:09:22Z","title":"Notes on the characteristic cycle of a constructible sheaf"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07865","kind":"arxiv","version":3},"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:f888ed7a4a653d677d9ce0e841b5a40809523455112b34eff368f6932370937c","target":"record","created_at":"2026-05-18T01:11:08Z","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":"eb4c22808beeb4ab0111d42c1d4be24f1213fa17a916a4d534cb47894e697186","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-25T10:09:22Z","title_canon_sha256":"105c46dae7b02dd6bb78d52448a9fd0f59c0e72b7ebcdf399a1e7f64ac41f85b"},"schema_version":"1.0","source":{"id":"1603.07865","kind":"arxiv","version":3}},"canonical_sha256":"64f378dcfcae90ff56d153d2ff80e68dbd638591be6fde00e2affda0ef059c29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64f378dcfcae90ff56d153d2ff80e68dbd638591be6fde00e2affda0ef059c29","first_computed_at":"2026-05-18T01:11:08.110937Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:08.110937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WrbgZy/TGRYfxwA7alP8uyKTDJYVnIMtAiw6aiMg4z5UuWqioTqiW1Up+A0Q1EFfbkUcHpAYul6iNB2z7DMGCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:08.111521Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.07865","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f888ed7a4a653d677d9ce0e841b5a40809523455112b34eff368f6932370937c","sha256:b5232932defa35a39d16f76fc122cb980c441778180a90c22929cdf2eb19a65e"],"state_sha256":"5821e2100601114a176956f15c40e3b65e9691935829f05c5ef07da795ba258d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n6rd9X/QnfHn7ijs9NMscg1q8DvxWbrbVXCSSkO8KQKVA2HOl82P4BnTo33XAJa4zt5W6hXzBo91PtCVidcWAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T02:49:09.335452Z","bundle_sha256":"3eda5386d7bda1148d3bbe0fa902edf09bc11cf97d9958569994e3329609cd29"}}