{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:FCRKA7SCK4TTE67AB23VXJDOYM","short_pith_number":"pith:FCRKA7SC","schema_version":"1.0","canonical_sha256":"28a2a07e425727327be00eb75ba46ec30257750b8242965a07177eb0e053c6ee","source":{"kind":"arxiv","id":"2411.16869","version":2},"attestation_state":"computed","paper":{"title":"Fermionic Spencer Cohomologies of D=11 Supergravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT"],"primary_cat":"hep-th","authors_text":"A. Santi, C.A. Cremonini, L. Ravera, P.A. Grassi, R. Noris","submitted_at":"2024-11-25T19:07:44Z","abstract_excerpt":"We combine the theory of Cartan-Tanaka prolongations with the Molien-Weyl integral formula and Hilbert-Poincar\\'e series to compute the Spencer cohomology groups of the $D=11$ Poincar\\'e superalgebra $\\mathfrak p$, relevant for superspace formulations of $11$-dimensional supergravity in terms of nonholonomic superstructures. This includes novel fermionic Spencer groups, providing with new cohomology classes of $\\mathbb Z$-grading $1$ and form number $2$. Using the Hilbert-Poincar\\'e series and the Euler characteristic, we also explore Spencer cohomology contributions in higher form numbers. We"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2411.16869","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-25T19:07:44Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"f5f88941accd61e8786b45a4e0bc630f823a91fedbda31fcf55683dcecd0f6af","abstract_canon_sha256":"13d238f1f20911b263f003f483f8a04e0b8088cc981d3a05a5661db6a9adf2fe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-13T01:20:01.031122Z","signature_b64":"VVnwS5lzLQRXu9/mHAVqL4mkVo/oRZR23W2wg7jVe8Tplbmz9s1I+o7SqHMggNDfZreYtr4LvgK8ica0mqrdBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28a2a07e425727327be00eb75ba46ec30257750b8242965a07177eb0e053c6ee","last_reissued_at":"2026-07-13T01:20:01.029755Z","signature_status":"signed_v1","first_computed_at":"2026-07-13T01:20:01.029755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fermionic Spencer Cohomologies of D=11 Supergravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT"],"primary_cat":"hep-th","authors_text":"A. Santi, C.A. Cremonini, L. Ravera, P.A. Grassi, R. Noris","submitted_at":"2024-11-25T19:07:44Z","abstract_excerpt":"We combine the theory of Cartan-Tanaka prolongations with the Molien-Weyl integral formula and Hilbert-Poincar\\'e series to compute the Spencer cohomology groups of the $D=11$ Poincar\\'e superalgebra $\\mathfrak p$, relevant for superspace formulations of $11$-dimensional supergravity in terms of nonholonomic superstructures. This includes novel fermionic Spencer groups, providing with new cohomology classes of $\\mathbb Z$-grading $1$ and form number $2$. Using the Hilbert-Poincar\\'e series and the Euler characteristic, we also explore Spencer cohomology contributions in higher form numbers. We"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.16869","kind":"arxiv","version":2},"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/2411.16869/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2411.16869","created_at":"2026-07-13T01:20:01.030303+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.16869v2","created_at":"2026-07-13T01:20:01.030303+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.16869","created_at":"2026-07-13T01:20:01.030303+00:00"},{"alias_kind":"pith_short_12","alias_value":"FCRKA7SCK4TT","created_at":"2026-07-13T01:20:01.030303+00:00"},{"alias_kind":"pith_short_16","alias_value":"FCRKA7SCK4TTE67A","created_at":"2026-07-13T01:20:01.030303+00:00"},{"alias_kind":"pith_short_8","alias_value":"FCRKA7SC","created_at":"2026-07-13T01:20:01.030303+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FCRKA7SCK4TTE67AB23VXJDOYM","json":"https://pith.science/pith/FCRKA7SCK4TTE67AB23VXJDOYM.json","graph_json":"https://pith.science/api/pith-number/FCRKA7SCK4TTE67AB23VXJDOYM/graph.json","events_json":"https://pith.science/api/pith-number/FCRKA7SCK4TTE67AB23VXJDOYM/events.json","paper":"https://pith.science/paper/FCRKA7SC"},"agent_actions":{"view_html":"https://pith.science/pith/FCRKA7SCK4TTE67AB23VXJDOYM","download_json":"https://pith.science/pith/FCRKA7SCK4TTE67AB23VXJDOYM.json","view_paper":"https://pith.science/paper/FCRKA7SC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.16869&json=true","fetch_graph":"https://pith.science/api/pith-number/FCRKA7SCK4TTE67AB23VXJDOYM/graph.json","fetch_events":"https://pith.science/api/pith-number/FCRKA7SCK4TTE67AB23VXJDOYM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FCRKA7SCK4TTE67AB23VXJDOYM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FCRKA7SCK4TTE67AB23VXJDOYM/action/storage_attestation","attest_author":"https://pith.science/pith/FCRKA7SCK4TTE67AB23VXJDOYM/action/author_attestation","sign_citation":"https://pith.science/pith/FCRKA7SCK4TTE67AB23VXJDOYM/action/citation_signature","submit_replication":"https://pith.science/pith/FCRKA7SCK4TTE67AB23VXJDOYM/action/replication_record"}},"created_at":"2026-07-13T01:20:01.030303+00:00","updated_at":"2026-07-13T01:20:01.030303+00:00"}