{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:V6NOKZMS36DSQS6FJ6R4AKHS7A","short_pith_number":"pith:V6NOKZMS","canonical_record":{"source":{"id":"1811.06850","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-11-15T14:22:38Z","cross_cats_sorted":["math.LO","math.RT"],"title_canon_sha256":"4333af56d4e7026d75d2b7462e7135dce9894ac988aac5edfcac35e8fc11e1bc","abstract_canon_sha256":"6b51f4724b990385d7b9f22bbc83baf3af793406d3cb71894a207faadad3470d"},"schema_version":"1.0"},"canonical_sha256":"af9ae56592df87284bc54fa3c028f2f818c0a2f8ebfab92f7426c2e325945119","source":{"kind":"arxiv","id":"1811.06850","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06850","created_at":"2026-05-18T00:00:33Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06850v1","created_at":"2026-05-18T00:00:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06850","created_at":"2026-05-18T00:00:33Z"},{"alias_kind":"pith_short_12","alias_value":"V6NOKZMS36DS","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"V6NOKZMS36DSQS6F","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"V6NOKZMS","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:V6NOKZMS36DSQS6FJ6R4AKHS7A","target":"record","payload":{"canonical_record":{"source":{"id":"1811.06850","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-11-15T14:22:38Z","cross_cats_sorted":["math.LO","math.RT"],"title_canon_sha256":"4333af56d4e7026d75d2b7462e7135dce9894ac988aac5edfcac35e8fc11e1bc","abstract_canon_sha256":"6b51f4724b990385d7b9f22bbc83baf3af793406d3cb71894a207faadad3470d"},"schema_version":"1.0"},"canonical_sha256":"af9ae56592df87284bc54fa3c028f2f818c0a2f8ebfab92f7426c2e325945119","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:33.707112Z","signature_b64":"ysLFcQQ4EBzGmmzGD8aPoyxgE7pDQwtCiH/kfRt4HuoK2N/JjfnR7fVinyN4q5dZW1OUTY/8scGZX91xTnisCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af9ae56592df87284bc54fa3c028f2f818c0a2f8ebfab92f7426c2e325945119","last_reissued_at":"2026-05-18T00:00:33.706636Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:33.706636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.06850","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":"2026-05-18T00:00:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XyJ5/pUsvkw761106v/0Me2m4wvaL0IFv2gxkyCSAuEOU7yU5jW8WOx+SXw19FADe/X5BdCwrUm2Fm+GfKxSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:14:32.713214Z"},"content_sha256":"5c2901f06f13f96ad0e934ebf5a12b57c61712b2b6996d6b688515e872aa90b3","schema_version":"1.0","event_id":"sha256:5c2901f06f13f96ad0e934ebf5a12b57c61712b2b6996d6b688515e872aa90b3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:V6NOKZMS36DSQS6FJ6R4AKHS7A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the commutativity of pull-back and push-forward functors on motivic constructible functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO","math.RT"],"primary_cat":"math.AG","authors_text":"Jorge Cely, Michel Raibaut","submitted_at":"2018-11-15T14:22:38Z","abstract_excerpt":"In this article, we study the commutativity between the pull-back and the push-forward functors on constructible functions in Cluckers--Loeser motivic integration."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06850","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":"2026-05-18T00:00:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MW89Hg56t4huCSOpLIEfN6BVLZ4PEBxI6Uspe0v9H8xv/z2wwZCOih0vsvKREktImjxV6YLC+8lPO5+M1fUeCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:14:32.713594Z"},"content_sha256":"6cb5935ffe4708e419404a57529a5e1b0388954bbed40e376aadcf226f134245","schema_version":"1.0","event_id":"sha256:6cb5935ffe4708e419404a57529a5e1b0388954bbed40e376aadcf226f134245"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V6NOKZMS36DSQS6FJ6R4AKHS7A/bundle.json","state_url":"https://pith.science/pith/V6NOKZMS36DSQS6FJ6R4AKHS7A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V6NOKZMS36DSQS6FJ6R4AKHS7A/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":"2026-06-01T17:14:32Z","links":{"resolver":"https://pith.science/pith/V6NOKZMS36DSQS6FJ6R4AKHS7A","bundle":"https://pith.science/pith/V6NOKZMS36DSQS6FJ6R4AKHS7A/bundle.json","state":"https://pith.science/pith/V6NOKZMS36DSQS6FJ6R4AKHS7A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V6NOKZMS36DSQS6FJ6R4AKHS7A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:V6NOKZMS36DSQS6FJ6R4AKHS7A","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":"6b51f4724b990385d7b9f22bbc83baf3af793406d3cb71894a207faadad3470d","cross_cats_sorted":["math.LO","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-11-15T14:22:38Z","title_canon_sha256":"4333af56d4e7026d75d2b7462e7135dce9894ac988aac5edfcac35e8fc11e1bc"},"schema_version":"1.0","source":{"id":"1811.06850","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06850","created_at":"2026-05-18T00:00:33Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06850v1","created_at":"2026-05-18T00:00:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06850","created_at":"2026-05-18T00:00:33Z"},{"alias_kind":"pith_short_12","alias_value":"V6NOKZMS36DS","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"V6NOKZMS36DSQS6F","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"V6NOKZMS","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:6cb5935ffe4708e419404a57529a5e1b0388954bbed40e376aadcf226f134245","target":"graph","created_at":"2026-05-18T00:00:33Z","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":"In this article, we study the commutativity between the pull-back and the push-forward functors on constructible functions in Cluckers--Loeser motivic integration.","authors_text":"Jorge Cely, Michel Raibaut","cross_cats":["math.LO","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-11-15T14:22:38Z","title":"On the commutativity of pull-back and push-forward functors on motivic constructible functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06850","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":"sha256:5c2901f06f13f96ad0e934ebf5a12b57c61712b2b6996d6b688515e872aa90b3","target":"record","created_at":"2026-05-18T00:00:33Z","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":"6b51f4724b990385d7b9f22bbc83baf3af793406d3cb71894a207faadad3470d","cross_cats_sorted":["math.LO","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-11-15T14:22:38Z","title_canon_sha256":"4333af56d4e7026d75d2b7462e7135dce9894ac988aac5edfcac35e8fc11e1bc"},"schema_version":"1.0","source":{"id":"1811.06850","kind":"arxiv","version":1}},"canonical_sha256":"af9ae56592df87284bc54fa3c028f2f818c0a2f8ebfab92f7426c2e325945119","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af9ae56592df87284bc54fa3c028f2f818c0a2f8ebfab92f7426c2e325945119","first_computed_at":"2026-05-18T00:00:33.706636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:33.706636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ysLFcQQ4EBzGmmzGD8aPoyxgE7pDQwtCiH/kfRt4HuoK2N/JjfnR7fVinyN4q5dZW1OUTY/8scGZX91xTnisCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:33.707112Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.06850","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c2901f06f13f96ad0e934ebf5a12b57c61712b2b6996d6b688515e872aa90b3","sha256:6cb5935ffe4708e419404a57529a5e1b0388954bbed40e376aadcf226f134245"],"state_sha256":"acd183d79d8850d36368d90dc43e77ae8b9ce5c37507f77dd2d02815208aaa03"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jo7+tMOTXUSJtTqTIdCTHI8VKNZHi5u527W8Kbei/dg+rAO/54d88HoE1ayFa0Wb2QP3vLmO1+E/FfiiJz2jDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T17:14:32.715599Z","bundle_sha256":"cf073b6d43b66b1e4268de556712823386af571af21b351efe727aa60a493358"}}