{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:6APZJXN7DKC2R5HDLLT2O2CVFS","short_pith_number":"pith:6APZJXN7","canonical_record":{"source":{"id":"0905.3543","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-21T18:42:04Z","cross_cats_sorted":[],"title_canon_sha256":"adfaa2d6e0b834494f8872e5c0510b7ce80d3e6c63f5e28c3e0a4288e0911d42","abstract_canon_sha256":"8159fb28a9bebc5303bcfee4ce43e87b9b9ac52b4908f88844b9b972803941c7"},"schema_version":"1.0"},"canonical_sha256":"f01f94ddbf1a85a8f4e35ae7a768552ca05a184dba22954821fabf6fbd1c5edf","source":{"kind":"arxiv","id":"0905.3543","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.3543","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"0905.3543v2","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3543","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"6APZJXN7DKC2","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"6APZJXN7DKC2R5HD","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"6APZJXN7","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:6APZJXN7DKC2R5HDLLT2O2CVFS","target":"record","payload":{"canonical_record":{"source":{"id":"0905.3543","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-21T18:42:04Z","cross_cats_sorted":[],"title_canon_sha256":"adfaa2d6e0b834494f8872e5c0510b7ce80d3e6c63f5e28c3e0a4288e0911d42","abstract_canon_sha256":"8159fb28a9bebc5303bcfee4ce43e87b9b9ac52b4908f88844b9b972803941c7"},"schema_version":"1.0"},"canonical_sha256":"f01f94ddbf1a85a8f4e35ae7a768552ca05a184dba22954821fabf6fbd1c5edf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:26.632378Z","signature_b64":"Bcu/u5saWQEsNgWhBBHpk+owZHJyaVkTaogH+NLPV4486GpRLvgpkV2Ppemc8MZAIA3/DTebfXuHi1Gp4+kvBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f01f94ddbf1a85a8f4e35ae7a768552ca05a184dba22954821fabf6fbd1c5edf","last_reissued_at":"2026-05-18T04:30:26.631960Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:26.631960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.3543","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:30:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g2/1ihbQZvOC6u1CsFjh03NgufLb8vDtT8Pv68SHEiE1eODklol6kdX9NB18dp3bHEG6GeCe+uRuhbEyP58vCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T04:08:45.427405Z"},"content_sha256":"58e22987556df14bf58e804de523b9fb7152ba8afd1892cd4055657d94162d52","schema_version":"1.0","event_id":"sha256:58e22987556df14bf58e804de523b9fb7152ba8afd1892cd4055657d94162d52"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:6APZJXN7DKC2R5HDLLT2O2CVFS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"2D Gravity with Torsion, Oriented Matroids and 2+2 Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. A. Leon, J. A. Nieto","submitted_at":"2009-05-21T18:42:04Z","abstract_excerpt":"We find a link between oriented matroid theory and 2d gravity with torsion. Our considerations may be useful in the context of noncommutative phase space in a target spacetime of signature (2+2) and in a possible theory of gravity ramification."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3543","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:30:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jd7vlKpRJ4os7JPcJhRo3Gft2GUgGnsUuia0sLSoe4K8+e14rMmKBt6/bvbMkWuC5TMTZQdUtb92jzOGQuzmBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T04:08:45.427748Z"},"content_sha256":"f3ad48cb3d0f811c8390a4e86f1043d40f8db6d6e26fce182f93dae7e7dc0068","schema_version":"1.0","event_id":"sha256:f3ad48cb3d0f811c8390a4e86f1043d40f8db6d6e26fce182f93dae7e7dc0068"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6APZJXN7DKC2R5HDLLT2O2CVFS/bundle.json","state_url":"https://pith.science/pith/6APZJXN7DKC2R5HDLLT2O2CVFS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6APZJXN7DKC2R5HDLLT2O2CVFS/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":"2026-06-26T04:08:45Z","links":{"resolver":"https://pith.science/pith/6APZJXN7DKC2R5HDLLT2O2CVFS","bundle":"https://pith.science/pith/6APZJXN7DKC2R5HDLLT2O2CVFS/bundle.json","state":"https://pith.science/pith/6APZJXN7DKC2R5HDLLT2O2CVFS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6APZJXN7DKC2R5HDLLT2O2CVFS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:6APZJXN7DKC2R5HDLLT2O2CVFS","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":"8159fb28a9bebc5303bcfee4ce43e87b9b9ac52b4908f88844b9b972803941c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-21T18:42:04Z","title_canon_sha256":"adfaa2d6e0b834494f8872e5c0510b7ce80d3e6c63f5e28c3e0a4288e0911d42"},"schema_version":"1.0","source":{"id":"0905.3543","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.3543","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"0905.3543v2","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3543","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"6APZJXN7DKC2","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"6APZJXN7DKC2R5HD","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"6APZJXN7","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:f3ad48cb3d0f811c8390a4e86f1043d40f8db6d6e26fce182f93dae7e7dc0068","target":"graph","created_at":"2026-05-18T04:30:26Z","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 find a link between oriented matroid theory and 2d gravity with torsion. Our considerations may be useful in the context of noncommutative phase space in a target spacetime of signature (2+2) and in a possible theory of gravity ramification.","authors_text":"E. A. Leon, J. A. Nieto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-21T18:42:04Z","title":"2D Gravity with Torsion, Oriented Matroids and 2+2 Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3543","kind":"arxiv","version":2},"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":"sha256:58e22987556df14bf58e804de523b9fb7152ba8afd1892cd4055657d94162d52","target":"record","created_at":"2026-05-18T04:30:26Z","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":"8159fb28a9bebc5303bcfee4ce43e87b9b9ac52b4908f88844b9b972803941c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-21T18:42:04Z","title_canon_sha256":"adfaa2d6e0b834494f8872e5c0510b7ce80d3e6c63f5e28c3e0a4288e0911d42"},"schema_version":"1.0","source":{"id":"0905.3543","kind":"arxiv","version":2}},"canonical_sha256":"f01f94ddbf1a85a8f4e35ae7a768552ca05a184dba22954821fabf6fbd1c5edf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f01f94ddbf1a85a8f4e35ae7a768552ca05a184dba22954821fabf6fbd1c5edf","first_computed_at":"2026-05-18T04:30:26.631960Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:26.631960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bcu/u5saWQEsNgWhBBHpk+owZHJyaVkTaogH+NLPV4486GpRLvgpkV2Ppemc8MZAIA3/DTebfXuHi1Gp4+kvBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:26.632378Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.3543","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58e22987556df14bf58e804de523b9fb7152ba8afd1892cd4055657d94162d52","sha256:f3ad48cb3d0f811c8390a4e86f1043d40f8db6d6e26fce182f93dae7e7dc0068"],"state_sha256":"e6cc8e2cdf0260f5ace23c0b935afac15139a3688043b7d7e8579c1939a6bf5c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NLCiNmDo2BThWide1p88VnOP3ou7jVBhjY6WlDkPeALWqGH8tk1mgAwyKYMEL3oVCJLIHgN5WeDTueD3b+cFAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T04:08:45.429728Z","bundle_sha256":"ac03902b110b9239f51d2112080f70386eb0c9568561f70b992c5a62c3bb65cb"}}