{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:5CNTT537LLB2ZYXIGXJZ53JUCO","short_pith_number":"pith:5CNTT537","schema_version":"1.0","canonical_sha256":"e89b39f77f5ac3ace2e835d39eed3413887ffbfac5d5b7659f648e88d6beb431","source":{"kind":"arxiv","id":"1501.01520","version":2},"attestation_state":"computed","paper":{"title":"Supergeometry in locally covariant quantum field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Alexander Schenkel, Florian Hanisch, Thomas-Paul Hack","submitted_at":"2015-01-07T15:28:25Z","abstract_excerpt":"In this paper we analyze supergeometric locally covariant quantum field theories. We develop suitable categories SLoc of super-Cartan supermanifolds, which generalize Lorentz manifolds in ordinary quantum field theory, and show that, starting from a few representation theoretic and geometric data, one can construct a functor A : SLoc --> S*Alg to the category of super-*-algebras which can be interpreted as a non-interacting super-quantum field theory. This construction turns out to disregard supersymmetry transformations as the morphism sets in the above categories are too small. We then solve"},"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":"1501.01520","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-01-07T15:28:25Z","cross_cats_sorted":["hep-th","math.DG","math.MP"],"title_canon_sha256":"a4eecd813b567f853540a0fdb2f837bdd47be235fc26ba10366b770e2b05b055","abstract_canon_sha256":"07103d9fc03a6082717591be51292146e60deee1b681b9fdcb1b456b2b5f75f7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:47.170197Z","signature_b64":"Sw6+j3tw0+Dawbnuv1xK/OXPfw8zoOG1QWzM/5eLoPkVERRg7BDPVdzGeK0l0x9NBMkdUWSsKbsy6BJxPdpHBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e89b39f77f5ac3ace2e835d39eed3413887ffbfac5d5b7659f648e88d6beb431","last_reissued_at":"2026-05-18T01:20:47.169717Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:47.169717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Supergeometry in locally covariant quantum field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Alexander Schenkel, Florian Hanisch, Thomas-Paul Hack","submitted_at":"2015-01-07T15:28:25Z","abstract_excerpt":"In this paper we analyze supergeometric locally covariant quantum field theories. We develop suitable categories SLoc of super-Cartan supermanifolds, which generalize Lorentz manifolds in ordinary quantum field theory, and show that, starting from a few representation theoretic and geometric data, one can construct a functor A : SLoc --> S*Alg to the category of super-*-algebras which can be interpreted as a non-interacting super-quantum field theory. This construction turns out to disregard supersymmetry transformations as the morphism sets in the above categories are too small. We then solve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01520","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":""},"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":"1501.01520","created_at":"2026-05-18T01:20:47.169800+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.01520v2","created_at":"2026-05-18T01:20:47.169800+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01520","created_at":"2026-05-18T01:20:47.169800+00:00"},{"alias_kind":"pith_short_12","alias_value":"5CNTT537LLB2","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"5CNTT537LLB2ZYXI","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"5CNTT537","created_at":"2026-05-18T12:29:05.191682+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/5CNTT537LLB2ZYXIGXJZ53JUCO","json":"https://pith.science/pith/5CNTT537LLB2ZYXIGXJZ53JUCO.json","graph_json":"https://pith.science/api/pith-number/5CNTT537LLB2ZYXIGXJZ53JUCO/graph.json","events_json":"https://pith.science/api/pith-number/5CNTT537LLB2ZYXIGXJZ53JUCO/events.json","paper":"https://pith.science/paper/5CNTT537"},"agent_actions":{"view_html":"https://pith.science/pith/5CNTT537LLB2ZYXIGXJZ53JUCO","download_json":"https://pith.science/pith/5CNTT537LLB2ZYXIGXJZ53JUCO.json","view_paper":"https://pith.science/paper/5CNTT537","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.01520&json=true","fetch_graph":"https://pith.science/api/pith-number/5CNTT537LLB2ZYXIGXJZ53JUCO/graph.json","fetch_events":"https://pith.science/api/pith-number/5CNTT537LLB2ZYXIGXJZ53JUCO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5CNTT537LLB2ZYXIGXJZ53JUCO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5CNTT537LLB2ZYXIGXJZ53JUCO/action/storage_attestation","attest_author":"https://pith.science/pith/5CNTT537LLB2ZYXIGXJZ53JUCO/action/author_attestation","sign_citation":"https://pith.science/pith/5CNTT537LLB2ZYXIGXJZ53JUCO/action/citation_signature","submit_replication":"https://pith.science/pith/5CNTT537LLB2ZYXIGXJZ53JUCO/action/replication_record"}},"created_at":"2026-05-18T01:20:47.169800+00:00","updated_at":"2026-05-18T01:20:47.169800+00:00"}