{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:EP5XJ6TXKDULHWT4BJX3KQPJOC","short_pith_number":"pith:EP5XJ6TX","canonical_record":{"source":{"id":"2608.07362","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2026-08-07T16:04:56Z","cross_cats_sorted":[],"title_canon_sha256":"9212b14e443c2eb8ebb5314320b69e75c15ad9709bf7fcd3b5a99187240320fd","abstract_canon_sha256":"d44f23c1de71a2f3a69ec68fbcc52358322cc67a1ef344d08fe6d99b529323f6"},"schema_version":"1.0"},"canonical_sha256":"23fb74fa7750e8b3da7c0a6fb541e9709cb7faed1374852233ef63e8c702d791","source":{"kind":"arxiv","id":"2608.07362","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.07362","created_at":"2026-08-10T01:15:09Z"},{"alias_kind":"arxiv_version","alias_value":"2608.07362v1","created_at":"2026-08-10T01:15:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.07362","created_at":"2026-08-10T01:15:09Z"},{"alias_kind":"pith_short_12","alias_value":"EP5XJ6TXKDUL","created_at":"2026-08-10T01:15:09Z"},{"alias_kind":"pith_short_16","alias_value":"EP5XJ6TXKDULHWT4","created_at":"2026-08-10T01:15:09Z"},{"alias_kind":"pith_short_8","alias_value":"EP5XJ6TX","created_at":"2026-08-10T01:15:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:EP5XJ6TXKDULHWT4BJX3KQPJOC","target":"record","payload":{"canonical_record":{"source":{"id":"2608.07362","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2026-08-07T16:04:56Z","cross_cats_sorted":[],"title_canon_sha256":"9212b14e443c2eb8ebb5314320b69e75c15ad9709bf7fcd3b5a99187240320fd","abstract_canon_sha256":"d44f23c1de71a2f3a69ec68fbcc52358322cc67a1ef344d08fe6d99b529323f6"},"schema_version":"1.0"},"canonical_sha256":"23fb74fa7750e8b3da7c0a6fb541e9709cb7faed1374852233ef63e8c702d791","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-10T01:15:09.336831Z","signature_b64":"KLsk3dFHxVCBExvH/lzIqcfEQCfdTWkEAaBEl4JwOZOGRCGSW8qUJLNiOkvcnrnk9UFms9xwz8cMd2HL6LhXCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23fb74fa7750e8b3da7c0a6fb541e9709cb7faed1374852233ef63e8c702d791","last_reissued_at":"2026-08-10T01:15:09.334192Z","signature_status":"signed_v1","first_computed_at":"2026-08-10T01:15:09.334192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.07362","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":"2026-08-10T01:15:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eC/sJt6DzSEWtBeZqtCDZHhq4njII+lYWwQu9mb06aKw2fd865oIktP+5vBk473qqh7MSnccVlmDWAi3xfzNAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T17:23:44.534131Z"},"content_sha256":"47ce7d78442e3af81b1cf4b392cd90cb823ffbd0882f9e42c7e53985f452c3c0","schema_version":"1.0","event_id":"sha256:47ce7d78442e3af81b1cf4b392cd90cb823ffbd0882f9e42c7e53985f452c3c0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:EP5XJ6TXKDULHWT4BJX3KQPJOC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Duflo--Kontsevich-type isomorphisms for Tamarkin--Tsygan calculi of dg manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Hsuan-Yi Liao, Mathieu Sti\\'enon, Ping Xu","submitted_at":"2026-08-07T16:04:56Z","abstract_excerpt":"We establish a Duflo--Kontsevich-type theorem for differential graded (dg) manifolds. Specifically, we prove that the Hochschild--Kostant--Rosenberg maps twisted by the square root of the Todd class realize an isomorphism between the Tamarkin--Tsygan calculus and the Cartan calculus of the dg manifold. At the level of cohomology, this confirms the Kontsevich--Shoikhet conjecture formulated in arXiv:math/9812009."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.07362","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.07362/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-08-10T01:15:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kYb+t86p8tLYzM6ydTR5T4VKcIzr1KbsB1nF1PBivJ9sIiOTquEI0/Hj96LZPwHNjkdNuzidcd3GaGZ3X3Y4Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T17:23:44.586630Z"},"content_sha256":"60ad64dc276b03b8c2a7a267659b8b82e8fda1e07dd045c66a55fc6ff40c3002","schema_version":"1.0","event_id":"sha256:60ad64dc276b03b8c2a7a267659b8b82e8fda1e07dd045c66a55fc6ff40c3002"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EP5XJ6TXKDULHWT4BJX3KQPJOC/bundle.json","state_url":"https://pith.science/pith/EP5XJ6TXKDULHWT4BJX3KQPJOC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EP5XJ6TXKDULHWT4BJX3KQPJOC/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":"2026-08-17T17:23:44Z","links":{"resolver":"https://pith.science/pith/EP5XJ6TXKDULHWT4BJX3KQPJOC","bundle":"https://pith.science/pith/EP5XJ6TXKDULHWT4BJX3KQPJOC/bundle.json","state":"https://pith.science/pith/EP5XJ6TXKDULHWT4BJX3KQPJOC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EP5XJ6TXKDULHWT4BJX3KQPJOC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EP5XJ6TXKDULHWT4BJX3KQPJOC","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":"d44f23c1de71a2f3a69ec68fbcc52358322cc67a1ef344d08fe6d99b529323f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2026-08-07T16:04:56Z","title_canon_sha256":"9212b14e443c2eb8ebb5314320b69e75c15ad9709bf7fcd3b5a99187240320fd"},"schema_version":"1.0","source":{"id":"2608.07362","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.07362","created_at":"2026-08-10T01:15:09Z"},{"alias_kind":"arxiv_version","alias_value":"2608.07362v1","created_at":"2026-08-10T01:15:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.07362","created_at":"2026-08-10T01:15:09Z"},{"alias_kind":"pith_short_12","alias_value":"EP5XJ6TXKDUL","created_at":"2026-08-10T01:15:09Z"},{"alias_kind":"pith_short_16","alias_value":"EP5XJ6TXKDULHWT4","created_at":"2026-08-10T01:15:09Z"},{"alias_kind":"pith_short_8","alias_value":"EP5XJ6TX","created_at":"2026-08-10T01:15:09Z"}],"graph_snapshots":[{"event_id":"sha256:60ad64dc276b03b8c2a7a267659b8b82e8fda1e07dd045c66a55fc6ff40c3002","target":"graph","created_at":"2026-08-10T01:15:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.07362/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish a Duflo--Kontsevich-type theorem for differential graded (dg) manifolds. Specifically, we prove that the Hochschild--Kostant--Rosenberg maps twisted by the square root of the Todd class realize an isomorphism between the Tamarkin--Tsygan calculus and the Cartan calculus of the dg manifold. At the level of cohomology, this confirms the Kontsevich--Shoikhet conjecture formulated in arXiv:math/9812009.","authors_text":"Hsuan-Yi Liao, Mathieu Sti\\'enon, Ping Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2026-08-07T16:04:56Z","title":"Duflo--Kontsevich-type isomorphisms for Tamarkin--Tsygan calculi of dg manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.07362","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":"sha256:47ce7d78442e3af81b1cf4b392cd90cb823ffbd0882f9e42c7e53985f452c3c0","target":"record","created_at":"2026-08-10T01:15:09Z","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":"d44f23c1de71a2f3a69ec68fbcc52358322cc67a1ef344d08fe6d99b529323f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2026-08-07T16:04:56Z","title_canon_sha256":"9212b14e443c2eb8ebb5314320b69e75c15ad9709bf7fcd3b5a99187240320fd"},"schema_version":"1.0","source":{"id":"2608.07362","kind":"arxiv","version":1}},"canonical_sha256":"23fb74fa7750e8b3da7c0a6fb541e9709cb7faed1374852233ef63e8c702d791","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23fb74fa7750e8b3da7c0a6fb541e9709cb7faed1374852233ef63e8c702d791","first_computed_at":"2026-08-10T01:15:09.334192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-10T01:15:09.334192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KLsk3dFHxVCBExvH/lzIqcfEQCfdTWkEAaBEl4JwOZOGRCGSW8qUJLNiOkvcnrnk9UFms9xwz8cMd2HL6LhXCg==","signature_status":"signed_v1","signed_at":"2026-08-10T01:15:09.336831Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.07362","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47ce7d78442e3af81b1cf4b392cd90cb823ffbd0882f9e42c7e53985f452c3c0","sha256:60ad64dc276b03b8c2a7a267659b8b82e8fda1e07dd045c66a55fc6ff40c3002"],"state_sha256":"d3a1063037d38878ce92c2b1a0cdb14dc283e7eb33a25cb384bfc8a2dffc5df1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hDu1MLl8IUAiNYy4VGKXunY54LodJkAGkxv3DPi4D56Pp+tlaHdHYqi+vMMq1De/ajyjUcJKv3LNPMV5qZRKDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T17:23:44.617276Z","bundle_sha256":"8249b7a59052f0f8c32bdd28cca734f9bbb0831051400514a3d4c469ba1bb7bf"}}