{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CLFZYPAG7MOD3E75GP7P7OCKJW","short_pith_number":"pith:CLFZYPAG","canonical_record":{"source":{"id":"1603.01092","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-03T13:26:32Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ec89b9ffb1815b04f3697a0dbbbd17ede38552948de29989643a691cacfeb150","abstract_canon_sha256":"fab9ff08560044a123fb3f634dfc4d4491872366ab876c28df6ee8225c4469f6"},"schema_version":"1.0"},"canonical_sha256":"12cb9c3c06fb1c3d93fd33feffb84a4da4cec4c7ae57603a49ec3ee4661a33f5","source":{"kind":"arxiv","id":"1603.01092","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.01092","created_at":"2026-05-18T01:05:12Z"},{"alias_kind":"arxiv_version","alias_value":"1603.01092v3","created_at":"2026-05-18T01:05:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01092","created_at":"2026-05-18T01:05:12Z"},{"alias_kind":"pith_short_12","alias_value":"CLFZYPAG7MOD","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CLFZYPAG7MOD3E75","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CLFZYPAG","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CLFZYPAG7MOD3E75GP7P7OCKJW","target":"record","payload":{"canonical_record":{"source":{"id":"1603.01092","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-03T13:26:32Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ec89b9ffb1815b04f3697a0dbbbd17ede38552948de29989643a691cacfeb150","abstract_canon_sha256":"fab9ff08560044a123fb3f634dfc4d4491872366ab876c28df6ee8225c4469f6"},"schema_version":"1.0"},"canonical_sha256":"12cb9c3c06fb1c3d93fd33feffb84a4da4cec4c7ae57603a49ec3ee4661a33f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:12.557816Z","signature_b64":"pi3cVEEQult13brWMTNmGFiEZxBLskQ5M8U/0XXOT5/pmljtm33TRZ/rP32OBWCWwG4rJ/f+wBgKzZaEL9W6DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12cb9c3c06fb1c3d93fd33feffb84a4da4cec4c7ae57603a49ec3ee4661a33f5","last_reissued_at":"2026-05-18T01:05:12.557157Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:12.557157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.01092","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":"2026-05-18T01:05:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q7R0SyPo5f9CLxaqbQkcnuuwMNaQ03dqzZ/cr55I1dBekqnpsOJejfwXIpYnDow3ebmxw8CPxvutjub5zX+VDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T10:23:54.911963Z"},"content_sha256":"cf4a2e3959c7b08f74d8342925fe067a7cc534964d310e7451100175dd09eb6c","schema_version":"1.0","event_id":"sha256:cf4a2e3959c7b08f74d8342925fe067a7cc534964d310e7451100175dd09eb6c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CLFZYPAG7MOD3E75GP7P7OCKJW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integral representations in supermanifolds: super Hodge duals, PCOs and Liouville forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"L. Castellani, P.A. Grassi, R. Catenacci","submitted_at":"2016-03-03T13:26:32Z","abstract_excerpt":"We present few types of integral transforms and integral representations that are very useful for extending to supergeometry many familiar concepts of differential geometry. Among them we discuss the construction of the super Hodge dual, the integral representation of picture changing operators of string theories and the construction of the super-Liouville form of a symplectic supermanifold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01092","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":"2026-05-18T01:05:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cKcSRCd6E4VPAxf2DX9btQK2/mHae8bl68rPSg1YXw253QarpTQD43spZ+4jyjklVmunMqMRuVQN7FHGf6yxBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T10:23:54.912636Z"},"content_sha256":"79cdcedff57f0a1012932e5ee0ed6568ab78a0731b43a4d48d86cd4191a2ae57","schema_version":"1.0","event_id":"sha256:79cdcedff57f0a1012932e5ee0ed6568ab78a0731b43a4d48d86cd4191a2ae57"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CLFZYPAG7MOD3E75GP7P7OCKJW/bundle.json","state_url":"https://pith.science/pith/CLFZYPAG7MOD3E75GP7P7OCKJW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CLFZYPAG7MOD3E75GP7P7OCKJW/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":"2026-05-26T10:23:54Z","links":{"resolver":"https://pith.science/pith/CLFZYPAG7MOD3E75GP7P7OCKJW","bundle":"https://pith.science/pith/CLFZYPAG7MOD3E75GP7P7OCKJW/bundle.json","state":"https://pith.science/pith/CLFZYPAG7MOD3E75GP7P7OCKJW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CLFZYPAG7MOD3E75GP7P7OCKJW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CLFZYPAG7MOD3E75GP7P7OCKJW","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":"fab9ff08560044a123fb3f634dfc4d4491872366ab876c28df6ee8225c4469f6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-03T13:26:32Z","title_canon_sha256":"ec89b9ffb1815b04f3697a0dbbbd17ede38552948de29989643a691cacfeb150"},"schema_version":"1.0","source":{"id":"1603.01092","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.01092","created_at":"2026-05-18T01:05:12Z"},{"alias_kind":"arxiv_version","alias_value":"1603.01092v3","created_at":"2026-05-18T01:05:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01092","created_at":"2026-05-18T01:05:12Z"},{"alias_kind":"pith_short_12","alias_value":"CLFZYPAG7MOD","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CLFZYPAG7MOD3E75","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CLFZYPAG","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:79cdcedff57f0a1012932e5ee0ed6568ab78a0731b43a4d48d86cd4191a2ae57","target":"graph","created_at":"2026-05-18T01:05:12Z","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 present few types of integral transforms and integral representations that are very useful for extending to supergeometry many familiar concepts of differential geometry. Among them we discuss the construction of the super Hodge dual, the integral representation of picture changing operators of string theories and the construction of the super-Liouville form of a symplectic supermanifold.","authors_text":"L. Castellani, P.A. Grassi, R. Catenacci","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-03T13:26:32Z","title":"Integral representations in supermanifolds: super Hodge duals, PCOs and Liouville forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01092","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:cf4a2e3959c7b08f74d8342925fe067a7cc534964d310e7451100175dd09eb6c","target":"record","created_at":"2026-05-18T01:05:12Z","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":"fab9ff08560044a123fb3f634dfc4d4491872366ab876c28df6ee8225c4469f6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-03T13:26:32Z","title_canon_sha256":"ec89b9ffb1815b04f3697a0dbbbd17ede38552948de29989643a691cacfeb150"},"schema_version":"1.0","source":{"id":"1603.01092","kind":"arxiv","version":3}},"canonical_sha256":"12cb9c3c06fb1c3d93fd33feffb84a4da4cec4c7ae57603a49ec3ee4661a33f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12cb9c3c06fb1c3d93fd33feffb84a4da4cec4c7ae57603a49ec3ee4661a33f5","first_computed_at":"2026-05-18T01:05:12.557157Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:12.557157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pi3cVEEQult13brWMTNmGFiEZxBLskQ5M8U/0XXOT5/pmljtm33TRZ/rP32OBWCWwG4rJ/f+wBgKzZaEL9W6DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:12.557816Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.01092","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf4a2e3959c7b08f74d8342925fe067a7cc534964d310e7451100175dd09eb6c","sha256:79cdcedff57f0a1012932e5ee0ed6568ab78a0731b43a4d48d86cd4191a2ae57"],"state_sha256":"4cabe0321a68b924e3be410ed73e10f8defb632bcb79c7eccf0422ebf81c3751"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CDlK9DN0lj6ZGo40fzHVn3S6iAIoU2qYvbkFCkIa0KC3YynyVxHsDCOMtCKcVbJldaitSYclKSsqa8qeJUbxAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T10:23:54.916250Z","bundle_sha256":"177650769d587742d1cabfd75e3284b6bcb208855176f015aaabee1f0d7fd68f"}}