{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:VMGWXQ2HYZQCAQSTKGRHP5TYC4","short_pith_number":"pith:VMGWXQ2H","canonical_record":{"source":{"id":"1509.05683","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-09-18T16:15:28Z","cross_cats_sorted":["math-ph","math.MP","math.RA"],"title_canon_sha256":"a776713d055d4818f0490667c76ac18921a04cd12239f61fb09b61fc0813a548","abstract_canon_sha256":"c7bff897077fe35b9ae3f37f514281975ea277de63d6d1c7447a96bcb9ace87b"},"schema_version":"1.0"},"canonical_sha256":"ab0d6bc347c66020425351a277f678170e76ca9333b3c95c57020cdf9c56ead7","source":{"kind":"arxiv","id":"1509.05683","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.05683","created_at":"2026-05-18T01:04:09Z"},{"alias_kind":"arxiv_version","alias_value":"1509.05683v3","created_at":"2026-05-18T01:04:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.05683","created_at":"2026-05-18T01:04:09Z"},{"alias_kind":"pith_short_12","alias_value":"VMGWXQ2HYZQC","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VMGWXQ2HYZQCAQST","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VMGWXQ2H","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:VMGWXQ2HYZQCAQSTKGRHP5TYC4","target":"record","payload":{"canonical_record":{"source":{"id":"1509.05683","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-09-18T16:15:28Z","cross_cats_sorted":["math-ph","math.MP","math.RA"],"title_canon_sha256":"a776713d055d4818f0490667c76ac18921a04cd12239f61fb09b61fc0813a548","abstract_canon_sha256":"c7bff897077fe35b9ae3f37f514281975ea277de63d6d1c7447a96bcb9ace87b"},"schema_version":"1.0"},"canonical_sha256":"ab0d6bc347c66020425351a277f678170e76ca9333b3c95c57020cdf9c56ead7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:09.399266Z","signature_b64":"QAdAofe9gvq7nlphk9wZ+K6Igif8UT8aDFkeeYECTIEPj4HdN6t30WHKSkbmgiQ5RMiaqfKw0QSMOnFBx+zlCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab0d6bc347c66020425351a277f678170e76ca9333b3c95c57020cdf9c56ead7","last_reissued_at":"2026-05-18T01:04:09.398697Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:09.398697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.05683","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":"2026-05-18T01:04:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gudVJ2YmJIkPAk6g5QoCBYDOfrkGGb9wP0B2qm+6T5k9lVw4GfWMgDtiwYrAwgKExufMaH6zyLmr1S7Ft9NcAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T13:18:08.266402Z"},"content_sha256":"bf102e062b7fa76615ed48626c160f74816343d1be639ca8bd75bf0d899b9730","schema_version":"1.0","event_id":"sha256:bf102e062b7fa76615ed48626c160f74816343d1be639ca8bd75bf0d899b9730"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:VMGWXQ2HYZQCAQSTKGRHP5TYC4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Representability in Supergeometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RA"],"primary_cat":"math.AG","authors_text":"F. Zanchetta, R. Fioresi","submitted_at":"2015-09-18T16:15:28Z","abstract_excerpt":"In this paper we use the notion of Grothendieck topology to present a unified way to approach representability in supergeometry, which applies to both the differential and algebraic settings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.05683","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":"2026-05-18T01:04:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+42fqd61YqHv7dQdHKGHO6EirEhty8tvJsBrBiEcf8q1p6fop2k4qDKRtdBQnfEQLilmAK4JJMAV+gxAx5SXCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T13:18:08.266769Z"},"content_sha256":"2437df763c2344632442f6c377e3fef486d51864fe2d3bcc566f62bf311f1109","schema_version":"1.0","event_id":"sha256:2437df763c2344632442f6c377e3fef486d51864fe2d3bcc566f62bf311f1109"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VMGWXQ2HYZQCAQSTKGRHP5TYC4/bundle.json","state_url":"https://pith.science/pith/VMGWXQ2HYZQCAQSTKGRHP5TYC4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VMGWXQ2HYZQCAQSTKGRHP5TYC4/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":"2026-07-04T13:18:08Z","links":{"resolver":"https://pith.science/pith/VMGWXQ2HYZQCAQSTKGRHP5TYC4","bundle":"https://pith.science/pith/VMGWXQ2HYZQCAQSTKGRHP5TYC4/bundle.json","state":"https://pith.science/pith/VMGWXQ2HYZQCAQSTKGRHP5TYC4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VMGWXQ2HYZQCAQSTKGRHP5TYC4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VMGWXQ2HYZQCAQSTKGRHP5TYC4","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":"c7bff897077fe35b9ae3f37f514281975ea277de63d6d1c7447a96bcb9ace87b","cross_cats_sorted":["math-ph","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-09-18T16:15:28Z","title_canon_sha256":"a776713d055d4818f0490667c76ac18921a04cd12239f61fb09b61fc0813a548"},"schema_version":"1.0","source":{"id":"1509.05683","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.05683","created_at":"2026-05-18T01:04:09Z"},{"alias_kind":"arxiv_version","alias_value":"1509.05683v3","created_at":"2026-05-18T01:04:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.05683","created_at":"2026-05-18T01:04:09Z"},{"alias_kind":"pith_short_12","alias_value":"VMGWXQ2HYZQC","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VMGWXQ2HYZQCAQST","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VMGWXQ2H","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:2437df763c2344632442f6c377e3fef486d51864fe2d3bcc566f62bf311f1109","target":"graph","created_at":"2026-05-18T01:04:09Z","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"},"paper":{"abstract_excerpt":"In this paper we use the notion of Grothendieck topology to present a unified way to approach representability in supergeometry, which applies to both the differential and algebraic settings.","authors_text":"F. Zanchetta, R. Fioresi","cross_cats":["math-ph","math.MP","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-09-18T16:15:28Z","title":"Representability in Supergeometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.05683","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:bf102e062b7fa76615ed48626c160f74816343d1be639ca8bd75bf0d899b9730","target":"record","created_at":"2026-05-18T01:04:09Z","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":"c7bff897077fe35b9ae3f37f514281975ea277de63d6d1c7447a96bcb9ace87b","cross_cats_sorted":["math-ph","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-09-18T16:15:28Z","title_canon_sha256":"a776713d055d4818f0490667c76ac18921a04cd12239f61fb09b61fc0813a548"},"schema_version":"1.0","source":{"id":"1509.05683","kind":"arxiv","version":3}},"canonical_sha256":"ab0d6bc347c66020425351a277f678170e76ca9333b3c95c57020cdf9c56ead7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab0d6bc347c66020425351a277f678170e76ca9333b3c95c57020cdf9c56ead7","first_computed_at":"2026-05-18T01:04:09.398697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:09.398697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QAdAofe9gvq7nlphk9wZ+K6Igif8UT8aDFkeeYECTIEPj4HdN6t30WHKSkbmgiQ5RMiaqfKw0QSMOnFBx+zlCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:09.399266Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.05683","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf102e062b7fa76615ed48626c160f74816343d1be639ca8bd75bf0d899b9730","sha256:2437df763c2344632442f6c377e3fef486d51864fe2d3bcc566f62bf311f1109"],"state_sha256":"2dae961841b0f9c5aa5e5ee68505f104b5a1ae3243d41de4bfd63cf754fa75b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zDnD6gWNm8pTGxJQL024GV1zIQsuHNhA/jQqQ8aXbHoVPHYkrA4PutwN+I1ikMiOgqzazlVZVISUizPMVhr/BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T13:18:08.268764Z","bundle_sha256":"34116284f6c8dbfdab3cfb8354b4f58f9b3ea603066fefdee208fe356cdb8830"}}